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Memory-Based PaperPrelims100 Questions · 60 Min

IBPS PO 2025 Prelims Memory-Based Paper 24 August Shift 1 with Answers

Exam date
24 August 2025
Shift
Shift 1
Source
Memory-based (candidate recall)

IBPS does not publish question papers or answer keys. These papers are rebuilt from candidates' recall of the shift, written fresh and fully re-checked.

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Tip: attempt the paper first, then come back here to check every answer and solution.

English - Para Jumbles (Q1–5)

  1. Note: This paper is recreated from candidate recall; IBPS does not release official question papers. Every question re-verified by BookOfExams. Rearrange the following six sentences (A) to (F) to form a meaningful paragraph, and answer the questions that follow. (A) Despite the rumours, Aragon remains popular among crypto traders and decentralised-finance users. (B) Before long, however, many users began to suspect that the FBI secretly controlled the app, because its design closely resembled known surveillance tools. (C) These suspicions deepened when a leaked report linked parts of Aragon's code to a government project in the United States. (D) Its makers promoted it as a secure, independent platform for encrypted conversations. (E) The developers, for their part, flatly denied any FBI involvement or any link to a US government project. (F) The chat app Aragon became a hit in cryptocurrency communities because of its strong privacy features.

    Q1.Which sentence comes FIRST after rearrangement?

    • AA
    • BF
    • CC
    • DD
    • EE

    Answer: (B) F

    The correct order is F, D, B, C, E, A. F introduces the app; D ('Its makers') describes how it was promoted; B ('however') turns to the suspicion; C ('These suspicions') adds the leaked report; E gives the developers' denial; A ('Despite the rumours') closes with the outcome. First: F.

  2. Q2.Which sentence comes SECOND after rearrangement?

    • AA
    • BB
    • CC
    • DD
    • EE

    Answer: (D) D

    The correct order is F, D, B, C, E, A. F introduces the app; D ('Its makers') describes how it was promoted; B ('however') turns to the suspicion; C ('These suspicions') adds the leaked report; E gives the developers' denial; A ('Despite the rumours') closes with the outcome. Second: D.

  3. Q3.Which sentence comes THIRD after rearrangement?

    • AA
    • BB
    • CC
    • DD
    • EE

    Answer: (B) B

    The correct order is F, D, B, C, E, A. F introduces the app; D ('Its makers') describes how it was promoted; B ('however') turns to the suspicion; C ('These suspicions') adds the leaked report; E gives the developers' denial; A ('Despite the rumours') closes with the outcome. Third: B.

  4. Q4.Which sentence comes FOURTH after rearrangement?

    • AF
    • BB
    • CC
    • DD
    • EE

    Answer: (C) C

    The correct order is F, D, B, C, E, A. F introduces the app; D ('Its makers') describes how it was promoted; B ('however') turns to the suspicion; C ('These suspicions') adds the leaked report; E gives the developers' denial; A ('Despite the rumours') closes with the outcome. Fourth: C.

  5. Q5.Which sentence comes FIFTH after rearrangement?

    • AA
    • BB
    • CF
    • DD
    • EE

    Answer: (E) E

    The correct order is F, D, B, C, E, A. F introduces the app; D ('Its makers') describes how it was promoted; B ('however') turns to the suspicion; C ('These suspicions') adds the leaked report; E gives the developers' denial; A ('Despite the rumours') closes with the outcome. Fifth: E.

English - Sentence Correction (Q6–9)

  1. Q6.Identify the sentence that is grammatically INCORRECT.

    • AHe has already submitted the report ahead of the deadline.
    • BNeither the coach nor the players were happy with the result.
    • CShe has been working in this bank since six years.
    • DWe are organising a farewell lunch for our manager tomorrow.
    • EAll are correct

    Answer: (C) She has been working in this bank since six years.

    'Since' is used with a point in time (since 2019); a length of time needs 'for': 'for six years'. The other sentences are correct (with neither...nor, the verb agrees with the nearer subject 'players').

  2. Q7.Which of the following sentences contains a grammatical error?

    • AEach of the candidates have submitted the form.
    • BShe enjoys reading detective novels on weekends.
    • CWe have been waiting at the station for over an hour.
    • DMy brother and I are going trekking next month.
    • EAll are correct

    Answer: (A) Each of the candidates have submitted the form.

    'Each' is singular and takes a singular verb: 'Each of the candidates has submitted the form.'

  3. Q8.Identify the sentence that is grammatically CORRECT.

    • AShe don't like travelling by bus.
    • BThey has been practising since morning.
    • CHe go to the library every Sunday.
    • DI reached late because the train was delayed by an hour.
    • EAll are incorrect

    Answer: (D) I reached late because the train was delayed by an hour.

    The first three have subject-verb errors (she doesn't, they have, he goes). The fourth is correct.

  4. Q9.Which of the following sentences is free of grammatical errors?

    • AI seen her at the market yesterday evening.
    • BHe don't have enough time to finish the task.
    • CThe old dog sleeps peacefully under the tree every afternoon.
    • DEveryone in the class are excited about the trip.
    • EAll are incorrect

    Answer: (C) The old dog sleeps peacefully under the tree every afternoon.

    'I seen' should be 'I saw'; 'He don't' should be 'He doesn't'; 'Everyone ... are' should be 'is'. The third sentence is correct.

English - Fillers (Q10–12)

  1. Q10.Choose the most appropriate word to fill the blank. The witness gave such a __________ account of the robbery, recalling even the colour of the getaway car, that the jury could picture the scene clearly.

    • Ahonestly
    • Bdeceptive
    • Ccleared
    • Dfictional
    • Evivid

    Answer: (E) vivid

    An account detailed enough for the jury to picture the scene is a vivid one. 'Honestly' is an adverb and cannot qualify 'account'.

  2. Q11.Choose the most appropriate word to fill the blank. The teacher was impressed by the student's __________ to improve, as he practised every evening after class.

    • Adetermination
    • Bresponsive
    • Cresistance
    • Dwise
    • Erefusal

    Answer: (A) determination

    Practising every evening shows determination to improve. 'Wise' and 'responsive' are adjectives and do not fit after 'the student's'.

  3. Q12.Choose the most appropriate word to fill the blank. The manager's __________ response to the complaint, a shrug and a vague promise to look into it some day, irritated the already angry customer.

    • Aprompt
    • Bstrong
    • Cindifferent
    • Demotional
    • Edetailed

    Answer: (C) indifferent

    A shrug and a vague promise show a lack of concern, i.e. an indifferent response.

English - Word Swap (Q13–16)

  1. Q13.In the sentence below, four words are marked (A) to (D). Some of them may be in the wrong positions. Choose the interchange(s) that make the sentence grammatically and contextually correct. The board postpone (A) to decided (B) the annual function because several senior members (C) were unavailable (D) that week.

    • AB-C and A-D
    • BA-B
    • CC-D
    • DA-C and B-D
    • ENo interchange required

    Answer: (B) A-B

    Swapping A and B gives 'The board decided to postpone the annual function because several senior members were unavailable that week.'

  2. Q14.In the sentence below, four words are marked (A) to (D). Some of them may be in the wrong positions. Choose the interchange(s) that make the sentence grammatically and contextually correct. Despite facing many hurdles (A), the young founder expanding (B) her confidence (C) and finally succeeded in maintained (D) her small bakery.

    • AB-C and A-D
    • BA-C
    • CB-D
    • DA-C and B-D
    • ENo interchange required

    Answer: (C) B-D

    Swapping B and D gives '...the young founder maintained her confidence and finally succeeded in expanding her small bakery.'

  3. Q15.In the sentence below, four words are marked (A) to (D). Some of them may be in the wrong positions. Choose the interchange(s) that make the sentence grammatically and contextually correct. The coach participate (A) the players to encouraged (B) actively in the practice session (C), making sure everyone got an equal chance (D) to bat.

    • AB-C and A-D
    • BA-B
    • CC-D
    • DA-C and B-D
    • ENo interchange required

    Answer: (B) A-B

    Swapping A and B gives 'The coach encouraged the players to participate actively in the practice session...'

  4. Q16.In the sentence below, four words are marked (A) to (D). Some of them may be in the wrong positions. Choose the interchange(s) that make the sentence grammatically and contextually correct. The audit required (A) a careful (B) review of the accounts, followed by a clear report (C) on steps to cut costs (D).

    • AB-C and A-D
    • BB-C
    • CC-D
    • DA-B
    • ENo interchange required

    Answer: (E) No interchange required

    The sentence is already correct as written.

English - Sentence Connector (Column Matching) (Q17–19)

  1. Q17.Match the parts in Column I with those in Column II to form meaningful and grammatically correct sentences. Choose the option that gives all the correct combinations. Column I: (A) The new rules require every passenger (B) Despite the heavy rain, the final match (C) The government announced new subsidies to support Column II: (D) farmers who adopt sustainable practices. (E) to carrying a valid photo identity card. (F) has been postponing since Monday.

    • ANone of these
    • BB-F
    • CC-D
    • DA-E, B-F
    • EA-F, C-D, B-E

    Answer: (C) C-D

    Only C-D works: 'The government announced new subsidies to support farmers who adopt sustainable practices.' E ('to carrying') is ungrammatical, and F needs the passive ('has been postponed').

  2. Q18.Match the parts in Column I with those in Column II to form meaningful and grammatically correct sentences. Choose the option that gives all the correct combinations. Column I: (A) Advances in artificial intelligence are enabling machines (B) Several countries are investing heavily in renewable energy (C) The government launched a digital literacy campaign Column II: (D) controlling inflation and stabilize the economy. (E) forced farmers to migrate to nearby cities. (F) to learn and adapt without explicit programming.

    • ANone of these
    • BA-F
    • CB-D
    • DA-E, B-F
    • EA-F, B-D, C-E

    Answer: (B) A-F

    Only A-F works: 'Advances in artificial intelligence are enabling machines to learn and adapt without explicit programming.' D mixes 'controlling' with 'stabilize', and E cannot attach to any part without a connector.

  3. Q19.Match the parts in Column I with those in Column II to form meaningful and grammatically correct sentences. Choose the option that gives all the correct combinations. Column I: (A) The company invested heavily in (B) The discovery of new exoplanets has encouraged astronomers (C) The finance ministry introduced stricter Column II: (D) regulate the working of digital payment systems. (E) to explore the possibility of life beyond Earth. (F) to monitoring deforestation and climate change.

    • ANone of these
    • BA-F
    • CC-D
    • DB-E
    • EA-F, B-D, C-E

    Answer: (D) B-E

    Only B-E works: 'The discovery of new exoplanets has encouraged astronomers to explore the possibility of life beyond Earth.' 'Stricter regulate' and 'in to monitoring' are ungrammatical.

English - Word Replacement (Q20–22)

  1. Q20.In the sentence below, one word is given in capitals and may be wrongly used. Choose the word that should replace it. If no replacement is needed, choose 'No replacement required'. After months of practice, the athlete finally ACHIEVED his dream of winning a national medal.

    • Again
    • Bprocured
    • Cshifted
    • Dmoved
    • ENo replacement required

    Answer: (E) No replacement required

    'Achieved his dream' is correct and natural; none of the options improves it.

  2. Q21.In the sentence below, one word is given in capitals and may be wrongly used. Choose the word that should replace it. If no replacement is needed, choose 'No replacement required'. The FRAGILE storm forced travellers to take shelter in roadside inns until the weather improved.

    • Amild
    • Bforecast
    • Cconditioned
    • Dunexpected
    • ENo replacement required

    Answer: (D) unexpected

    A storm cannot be 'fragile' (easily broken). An unexpected storm forcing travellers to shelter makes sense; a 'mild' storm would not force them to shelter.

  3. Q22.In the sentence below, one word is given in capitals and may be wrongly used. Choose the word that should replace it. If no replacement is needed, choose 'No replacement required'. The farmer worked from dawn to dusk, making sure the crops received proper care FROM the growing season.

    • Athroughout
    • Bunder
    • Cbeside
    • Dof
    • ENo replacement required

    Answer: (A) throughout

    Care is given during the whole season: 'throughout the growing season'.

English - Reading Comprehension (Q23–30)

  1. Read the passage and answer the questions that follow. Language is not only a means of communication; it can also sharpen the way we think and widen the opportunities open to us. Over the years, researchers have compared people who speak one language with those who speak two or more, and many have reported clear benefits for the latter. A person who moves easily between two languages seems to gain a kind of mental exercise that a single language does not provide. One study published in 2019 reported that bilingual participants calculated faster and scored higher on intelligence measures than their monolingual peers. To many teachers this only confirmed what they had long suspected: that juggling two languages builds mental agility. The ability to switch between languages seems __________ with a related skill, that of switching between tasks efficiently. Later studies supported this view, describing bilinguals as quicker at solving problems and making decisions. The advantage also shows up at work. In poorer regions with limited resources, bilingual workers tend to adapt better, because they can handle jobs in which people from different cultures must communicate. In such settings monolingual workers often suffer a decline in effectiveness, while bilingual workers do well by bridging language gaps and keeping interactions smooth. Children offer another example. Those who grow up abroad, especially before the age of six, are more likely to become bilingual naturally; the children of diplomats, for instance, often pick up more than one language early. Such children learn new languages with surprising ease and frequently do well both in school and socially. Taken together, the benefits of bilingualism, from sharper thinking to wider job prospects, make it less an extra skill than a real asset in a connected world.

    Q23.According to the passage, what is the main advantage of being bilingual at work in low-resource regions?

    • ABilingual workers can work longer hours.
    • BBilingual workers accept lower wages.
    • CBilingual workers receive more government support.
    • DBilingual workers avoid technical jobs.
    • EBilingual workers communicate across cultures and adapt better.

    Answer: (E) Bilingual workers communicate across cultures and adapt better.

    The third paragraph says bilingual workers adapt better in such regions because they handle cross-cultural communication and bridge language gaps.

  2. Q24.Which of the following statements is/are INCORRECT according to the passage? (I) Bilingualism reduces mental flexibility and slows down task-switching. (II) Bilingual workers struggle more in cross-cultural workplaces. (III) Children of diplomats find it hard to learn new languages.

    • AOnly I
    • BBoth I and III
    • COnly II
    • DBoth II and III
    • EAll I, II and III

    Answer: (E) All I, II and III

    All three contradict the passage: bilingualism is linked with efficient task-switching, bilingual workers do well in cross-cultural settings, and diplomats' children learn languages with surprising ease.

  3. Q25.Which of the following statements is/are CORRECT according to the passage? (I) The ability to switch between languages appears linked with switching between tasks efficiently. (II) Children who grow up abroad early in life often become bilingual naturally. (III) Bilingualism makes people more emotionally sensitive.

    • AOnly I
    • BBoth I and II
    • COnly III
    • DBoth II and III
    • EAll I, II and III

    Answer: (B) Both I and II

    I is stated in the second paragraph and II in the fourth. The passage says nothing about emotional sensitivity, so III is not supported.

  4. Q26.What did the 2019 study mentioned in the passage report?

    • ABilinguals calculated faster and scored higher on intelligence measures.
    • BBilinguals read faster but calculate more slowly.
    • CBilingualism has no measurable effect on thinking.
    • DBilingualism shortens attention span in adults.
    • EMonolinguals do better at creative tasks.

    Answer: (A) Bilinguals calculated faster and scored higher on intelligence measures.

    The second paragraph states this directly.

  5. Q27.Which word or phrase best fills the blank in the second paragraph ('The ability to switch between languages seems __________ with a related skill')?

    • Ahappens
    • Bto results
    • Cto function
    • Dincluding
    • Eto come

    Answer: (E) to come

    'Seems to come with' means 'appears to be accompanied by', which fits. 'To results' and 'seems happens' are ungrammatical, and the others do not make sense.

  6. Q28.Which word is most nearly OPPOSITE in meaning to 'later' as used in the passage ('Later studies supported this view')?

    • AGradually
    • BEventually
    • CEarlier
    • DAfterwards
    • ESubsequent

    Answer: (C) Earlier

    'Later' means coming afterwards in time; 'earlier' is its opposite. 'Afterwards' and 'subsequent' are close in meaning to 'later'.

  7. Q29.Which word is closest in meaning to 'decline' as used in the passage ('a decline in effectiveness')?

    • ADownsizing
    • BRejection
    • CProgress
    • DSupport
    • EDeterioration

    Answer: (E) Deterioration

    Here 'decline' is a noun meaning a fall or worsening, i.e. deterioration. 'Rejection' is the other sense of decline (to refuse), which does not fit.

  8. Q30.Which word is closest in meaning to 'benefits' as used in the passage?

    • AAdvantages
    • BConflicts
    • CDrawbacks
    • DHurdles
    • EBurdens

    Answer: (A) Advantages

    'Benefits' means advantages; the other options are opposites or unrelated.

Quantitative Aptitude - Data Interpretation (Q31–35)

  1. A bar graph shows the number of candidates who registered for an activity and the number who actually participated, from four cities A, B, C and D. The values read from the graph are: City | Registered | Participated A | 480 | 280 B | 640 | 360 C | 760 | 400 D | 840 | 600 (Candidates who did not participate = registered - participated.)

    Q31.What is the ratio of the candidates who registered from C to the candidates who did not participate from A?

    • A13:4
    • B12:7
    • C19:5
    • D14:9
    • E11:4

    Answer: (C) 19:5

    Registered from C = 760. Did not participate from A = 480 - 280 = 200. Ratio = 760 : 200 = 19 : 5.

  2. Q32.What is the average number of candidates who did not participate from C and D?

    • A345
    • B310
    • C250
    • D280
    • E300

    Answer: (E) 300

    Non-participants: C = 760 - 400 = 360, D = 840 - 600 = 240. Average = (360 + 240)/2 = 300.

  3. Q33.The number of candidates who registered from a fifth city E is 25% more than from D, and the number who participated from E is 60% of the number who participated from C. Find the difference between the candidates who did not participate from E and from D.

    • A570
    • B520
    • C535
    • D550
    • E510

    Answer: (A) 570

    Registered from E = 125% of 840 = 1050. Participated from E = 60% of 400 = 240. Non-participants from E = 810; from D = 240. Difference = 570.

  4. Q34.40% of the candidates who participated from B qualified for the semi-final, and 25% of these semi-finalists qualified for the final. How many semi-finalists from B did not qualify for the final?

    • A112
    • B108
    • C104
    • D106
    • E110

    Answer: (B) 108

    Participants from B = 360. Semi-finalists = 40% of 360 = 144. Finalists = 25% of 144 = 36. Semi-finalists who did not qualify = 144 - 36 = 108.

  5. Q35.The number of candidates who registered from A is what percentage less than the number of candidates who did not participate from C and D together?

    • A5%
    • B30%
    • C20%
    • D15%
    • E10%

    Answer: (C) 20%

    Non-participants from C and D = 360 + 240 = 600. Registered from A = 480. (600 - 480)/600 x 100 = 20% less.

Quantitative Aptitude - Arithmetic (Q36–38)

  1. Q36.A man invested Rs 12,500 in scheme A at simple interest of r% p.a. for two years. He then invested the interest earned in scheme B at 10% p.a. compound interest (compounded annually) for two years. If the amount from scheme B is Rs 3,630, find r.

    • A15
    • B12
    • C10
    • D14
    • E18

    Answer: (B) 12

    Interest from A = 12500 x r x 2/100 = 250r. In scheme B this grows by a factor of 1.1² = 1.21. 1.21 x 250r = 3630, so 250r = 3000 and r = 12.

  2. Q37.Pipe A fills 25% of a tank in 6 hours and pipe B fills 50% of it in 12 hours. Pipe C, an outlet, empties the full tank in 20 hours. If the tank is already 60% full and all three pipes are opened together, how long will it take to fill the rest?

    • A10 hours
    • B11 hours
    • C12 hours
    • D13 hours
    • E8 hours

    Answer: (C) 12 hours

    A and B each fill the whole tank in 24 hours. Net rate = 1/24 + 1/24 - 1/20 = (5 + 5 - 6)/120 = 1/30 of the tank per hour. Remaining 40% takes 0.4 x 30 = 12 hours.

  3. Q38.Two cars A and B start at the same time from cities P and Q, 480 km apart, towards each other. Car A covers the whole distance in 4 hours and car B in 6 hours. After how long will they meet?

    • A2.1 hours
    • B2.5 hours
    • C2.6 hours
    • D2.2 hours
    • E2.4 hours

    Answer: (E) 2.4 hours

    Speeds: A = 120 km/h, B = 80 km/h. Relative speed = 200 km/h. Time = 480/200 = 2.4 hours.

Quantitative Aptitude - Data Interpretation (Q39–43)

  1. The table shows the number of male employees and the number of female managers in four companies A, B, C and D. Company | Male employees | Female managers A | 260 | 60 B | 340 | 90 C | 220 | 70 D | 390 | 140 Note: In each company, the number of male employees is 130 more than the number of female employees. Every employee is either a manager or a non-manager.

    Q39.What is the average number of female non-manager employees in companies A and B?

    • A95
    • B100
    • C80
    • D105
    • E85

    Answer: (A) 95

    Females: A = 260 - 130 = 130, B = 340 - 130 = 210. Female non-managers: A = 130 - 60 = 70, B = 210 - 90 = 120. Average = (70 + 120)/2 = 95.

  2. Q40.In company C, male managers and male non-managers are in the ratio 7 : 3. By how much is the number of male non-managers in C less than the number of female employees in A?

    • A60
    • B70
    • C64
    • D61
    • E58

    Answer: (C) 64

    Male non-managers in C = 3/10 x 220 = 66. Female employees in A = 130. Difference = 130 - 66 = 64.

  3. Q41.The number of female employees in B is what percentage of the total number of employees in B and D together?

    • A16.67%
    • B17.5%
    • C10%
    • D8.33%
    • E12.5%

    Answer: (B) 17.5%

    Females in B = 210. Totals: B = 340 + 210 = 550, D = 390 + 260 = 650, together 1200. 210/1200 x 100 = 17.5%.

  4. Q42.The average of the number of male managers and the number of female managers in D is 195. Find the difference between the number of male non-managers in D and the total number of female managers in A and B.

    • A10
    • B15
    • C20
    • D5
    • E25

    Answer: (A) 10

    Male managers in D = 2 x 195 - 140 = 250. Male non-managers in D = 390 - 250 = 140. Female managers in A and B = 60 + 90 = 150. Difference = 150 - 140 = 10.

  5. Q43.The total number of employees in a company E is 3/5 of that in B, and the number of male employees in E is 60% of that in A. Find the total number of female employees in E, C and D together.

    • A330
    • B345
    • C387
    • D404
    • E524

    Answer: (E) 524

    Employees in E = 3/5 x 550 = 330. Males in E = 60% of 260 = 156, so females in E = 174. Females in C = 90 and in D = 260. Total = 174 + 90 + 260 = 524.

Quantitative Aptitude - Arithmetic (Q44–44)

  1. Q44.Sita spends 30% of her monthly salary on regular expenses and 50% on personal expenses. She gives the whole of the remaining amount to her mother and father in the ratio 3 : 1. If her mother gets Rs 4,000 more than her father, what is Sita's monthly salary?

    • ARs 40,000
    • BRs 32,000
    • CRs 35,500
    • DRs 44,000
    • ERs 40,500

    Answer: (A) Rs 40,000

    The remaining amount is 20% of the salary. Mother gets 3/4 and father 1/4 of it, so the difference is 1/2 of 20% = 10% of the salary. 10% of salary = 4000, so salary = Rs 40,000.

Quantitative Aptitude - Data Interpretation (Q45–49)

  1. The following information is about students in two schools, A and B, who like art, music or both (every student counted likes at least one of the two). In school B, 45 students like only music. The numbers of students who like only art in schools A and B are in the ratio 5 : 3. In school A, the number of students who like both art and music is 40% of the number who like only art. In school B, the number who like both is 15 more than in school A. In school B, 65 students like art (including those who like both). In school A, the number of students who like music (including those who like both) is 15 more than the number who like only music in school B.

    Q45.Find the difference between the number of students who like art in school A and the number who like both art and music in school B.

    • A40
    • B45
    • C35
    • D50
    • E30

    Answer: (C) 35

    Let only-art be 5x in A and 3x in B. Both in A = 40% of 5x = 2x; both in B = 2x + 15. Art in B: 3x + 2x + 15 = 65, so x = 10. School A: only art 50, both 20, music = 45 + 15 = 60, so only music = 40. School B: only art 30, both 35, only music 45. Art in A = 50 + 20 = 70. Both in B = 35. Difference = 35.

  2. Q46.The number of students who like only music in school A is what percentage of the number who like only art in school B?

    • A122.25%
    • B108.33%
    • C132.5%
    • D166.67%
    • E133.33%

    Answer: (E) 133.33%

    Let only-art be 5x in A and 3x in B. Both in A = 40% of 5x = 2x; both in B = 2x + 15. Art in B: 3x + 2x + 15 = 65, so x = 10. School A: only art 50, both 20, music = 45 + 15 = 60, so only music = 40. School B: only art 30, both 35, only music 45. 40/30 x 100 = 133.33%.

  3. Q47.Find the ratio of the number of students who like both art and music in school A to the number who like only music in school B.

    • A2:7
    • B4:9
    • C3:7
    • D5:9
    • E4:5

    Answer: (B) 4:9

    Let only-art be 5x in A and 3x in B. Both in A = 40% of 5x = 2x; both in B = 2x + 15. Art in B: 3x + 2x + 15 = 65, so x = 10. School A: only art 50, both 20, music = 45 + 15 = 60, so only music = 40. School B: only art 30, both 35, only music 45. 20 : 45 = 4 : 9.

  4. Q48.How many students in the two schools together like both art and music?

    • A55
    • B75
    • C35
    • D65
    • E45

    Answer: (A) 55

    Let only-art be 5x in A and 3x in B. Both in A = 40% of 5x = 2x; both in B = 2x + 15. Art in B: 3x + 2x + 15 = 65, so x = 10. School A: only art 50, both 20, music = 45 + 15 = 60, so only music = 40. School B: only art 30, both 35, only music 45. Both: 20 (A) + 35 (B) = 55.

  5. Q49.The number of students in school B who like exactly one of the two activities is how many more than the number of students who like art in school A?

    • A3
    • B6
    • C4
    • D2
    • E5

    Answer: (E) 5

    Let only-art be 5x in A and 3x in B. Both in A = 40% of 5x = 2x; both in B = 2x + 15. Art in B: 3x + 2x + 15 = 65, so x = 10. School A: only art 50, both 20, music = 45 + 15 = 60, so only music = 40. School B: only art 30, both 35, only music 45. Exactly one activity in B = 30 + 45 = 75. Art in A = 70. Difference = 5.

Quantitative Aptitude - Quadratic Equations (Q50–54)

  1. Q50.In the question below, two equations I and II are given. Solve both and choose the correct relationship between x and y. I. x = √196 II. y³ = 2744

    • Ax < y
    • Bx > y
    • Cx ≤ y
    • Dx ≥ y
    • Ex = y or no relation can be established

    Answer: (E) x = y or no relation can be established

    x = √196 = 14 (the square-root sign means the positive root) and y = ∛2744 = 14. So x = y.

  2. Q51.In the question below, two equations I and II are given. Solve both and choose the correct relationship between x and y. I. 18x² + 33x + 14 = 0 II. 8y² + 22y + 15 = 0

    • Ax < y
    • Bx > y
    • Cx ≤ y
    • Dx ≥ y
    • Ex = y or no relation can be established

    Answer: (B) x > y

    18x² + 33x + 14 = (6x + 7)(3x + 2) = 0, so x = -7/6 or -2/3. 8y² + 22y + 15 = (4y + 5)(2y + 3) = 0, so y = -5/4 or -3/2. Both values of x (-1.17, -0.67) are greater than both values of y (-1.25, -1.5), so x > y.

  3. Q52.In the question below, two equations I and II are given. Solve both and choose the correct relationship between x and y. I. 7x² + 27x + 18 = 0 II. 2y² + 13y + 21 = 0

    • Ax < y
    • Bx > y
    • Cx ≤ y
    • Dx ≥ y
    • Ex = y or no relation can be established

    Answer: (D) x ≥ y

    7x² + 27x + 18 = (7x + 6)(x + 3) = 0, so x = -6/7 or -3. 2y² + 13y + 21 = (2y + 7)(y + 3) = 0, so y = -3.5 or -3. Every x is greater than or equal to every y (x = y = -3 is possible), so x ≥ y.

  4. Q53.In the question below, two equations I and II are given. Solve both and choose the correct relationship between x and y. I. 2x² + 13x + 21 = 0 II. y² + 6y + 9 = 0

    • Ax < y
    • Bx > y
    • Cx ≤ y
    • Dx ≥ y
    • Ex = y or no relation can be established

    Answer: (C) x ≤ y

    2x² + 13x + 21 = (2x + 7)(x + 3) = 0, so x = -3.5 or -3. y² + 6y + 9 = (y + 3)² = 0, so y = -3. Hence x ≤ y.

  5. Q54.In the question below, two equations I and II are given. Solve both and choose the correct relationship between x and y. I. 3x² - x - 2 = 0 II. 4y² - 2y - 2 = 0

    • Ax < y
    • Bx > y
    • Cx ≤ y
    • Dx ≥ y
    • Ex = y or no relation can be established

    Answer: (E) x = y or no relation can be established

    3x² - x - 2 = (3x + 2)(x - 1) = 0, so x = 1 or -2/3. 4y² - 2y - 2 = 2(2y + 1)(y - 1) = 0, so y = 1 or -1/2. x = 1 > y = -1/2 but x = -2/3 < y = -1/2, so no definite relation can be established.

Quantitative Aptitude - Approximation (Q55–59)

  1. Q55.What approximate value should come in place of the question mark (?) in the following question? (You are not expected to find the exact value.) 31.93% of 750.03 + ?² = 48.03% of 1699.98 (? is positive)

    • A22
    • B28
    • C24
    • D18
    • E26

    Answer: (C) 24

    Approximate: 32% of 750 = 240 and 48% of 1700 = 816. ?² ≈ 816 - 240 = 576, so ? ≈ 24.

  2. Q56.What approximate value should come in place of the question mark (?) in the following question? (You are not expected to find the exact value.) 1151.98 ÷ ? + 24.03% of 450.01 = 12.01 × 12.98

    • A12
    • B48
    • C6
    • D24
    • E18

    Answer: (D) 24

    Approximate: 24% of 450 = 108 and 12 × 13 = 156. So 1152 ÷ ? ≈ 156 - 108 = 48, giving ? ≈ 24.

  3. Q57.What approximate value should come in place of the question mark (?) in the following question? (You are not expected to find the exact value.) 125.07% of 419.93 + 50.99 = (80% of ?)² (? is positive)

    • A50
    • B30
    • C25
    • D20
    • E45

    Answer: (B) 30

    Approximate: 125% of 420 = 525; 525 + 51 = 576 = 24². So 80% of ? ≈ 24 and ? ≈ 30.

  4. Q58.What approximate value should come in place of the question mark (?) in the following question? (You are not expected to find the exact value.) ?³ × 12.03 + 24.01% of 450 = (39.99)² + ∛511.93

    • A5
    • B8
    • C6
    • D3
    • E4

    Answer: (A) 5

    Approximate: 24% of 450 = 108, 40² = 1600 and ∛512 = 8. So 12 × ?³ ≈ 1608 - 108 = 1500, ?³ ≈ 125 and ? ≈ 5.

  5. Q59.What approximate value should come in place of the question mark (?) in the following question? (You are not expected to find the exact value.) (276.02 ÷ 12.03) × (79.99 ÷ 115.01) × ? = 31.99% of 199.98

    • A30
    • B8
    • C4
    • D16
    • E24

    Answer: (C) 4

    Approximate: 276 ÷ 12 = 23 and 80 ÷ 115 = 16/23, so the left side is 23 × 16/23 × ? = 16 × ?. 32% of 200 = 64. So ? ≈ 4.

Quantitative Aptitude - Arithmetic (Q60–65)

  1. Q60.A milkman mixed (y + 30) litres of water into 150 litres of milk. He then took out 35 litres of the mixture and replaced it with 35 litres of milk. If the final mixture contains 160 litres of milk, find y.

    • A40 litres
    • B30 litres
    • C35 litres
    • D25 litres
    • E45 litres

    Answer: (B) 30 litres

    Total mixture = 180 + y litres. Milk removed = 35 x 150/(180 + y). Final milk = 150 - 5250/(180 + y) + 35 = 160, so 5250/(180 + y) = 25, giving 180 + y = 210 and y = 30.

  2. Q61.Neeraj and Vivan invested in a business in the ratio 4 : 7. Vivan's money stayed in the business for 2 months less than Neeraj's. At the end of the year, Neeraj's profit was 28 4/7% less than Vivan's. For how many months was Vivan's money invested?

    • A10 months
    • B12 months
    • C6 months
    • D8 months
    • E14 months

    Answer: (D) 8 months

    28 4/7% = 2/7, so Neeraj's profit = 5/7 of Vivan's. If Neeraj's time is t months: 4t : 7(t - 2) = 5 : 7, so 28t = 35t - 70 and t = 10. Vivan's time = 8 months.

  3. Q62.A boat covers 105 km downstream in t hours and 90 km upstream in (t + 6) hours. The speed of the boat in still water and its downstream speed are in the ratio 6 : 7. How long will the boat take to go 35 km downstream and come back the same distance upstream?

    • A20 hours
    • B12 hours
    • C28 hours
    • D18 hours
    • E24 hours

    Answer: (E) 24 hours

    Let still-water speed = 6k and downstream = 7k, so the stream = k and upstream = 5k. 90/(5k) - 105/(7k) = 6 gives 18/k - 15/k = 6, so k = 0.5. Downstream = 3.5 km/h, upstream = 2.5 km/h. Time = 35/3.5 + 35/2.5 = 10 + 14 = 24 hours.

  4. Q63.Shivam bought a table for Rs X and sold it for Rs Y, making a 30% profit. Had he bought it for 10% less and sold it for Rs 44 less, his profit would have been 20%. Find (Y - X).

    • ARs 60
    • BRs 120
    • CRs 80
    • DRs 40
    • ERs 20

    Answer: (A) Rs 60

    Y = 1.3X. In the second case, Y - 44 = 1.2 x 0.9X = 1.08X. So 1.3X - 44 = 1.08X, giving X = 200 and Y = 260. Y - X = Rs 60.

  5. Q64.Train P, running at 72 km/h, crosses a platform half its own length in one minute. How long will train P take to cross train Q, which is twice as long as P and runs at 108 km/h in the opposite direction?

    • A54 sec
    • B48 sec
    • C60 sec
    • D64 sec
    • E40 sec

    Answer: (B) 48 sec

    72 km/h = 20 m/s. In 60 s train P covers 1200 m = its length L + L/2, so L = 800 m. Train Q = 1600 m at 30 m/s. Relative speed = 50 m/s. Time = (800 + 1600)/50 = 48 seconds.

  6. Q65.The length of a rectangle and the side of a square add up to 36 m. The rectangle has a perimeter of 42 m and a breadth of 9 m. Find the side of the square (in m).

    • A18
    • B30
    • C27
    • D24
    • E15

    Answer: (D) 24

    2(l + 9) = 42 gives l = 12 m. Side of the square = 36 - 12 = 24 m.

Reasoning - Puzzle (Q66–75)

  1. Seven persons A, B, C, D, E, F and G were born on the same date and month but in different years: 1947, 1962, 1974, 1981, 1987, 1998 and 2009. Each likes a different activity: swimming, climbing, reading, running, hiking, drawing and dancing. (The lists are not in matching order.) Ages are calculated as on the same date in 2025. The age of the person who likes dancing is a multiple of 3. B is older than the person who likes dancing, and the difference between their ages is an odd number. Exactly four persons were born between B and the person who likes swimming. F's age is an even number. The sum of the ages of F and A is a multiple of 5. The person who likes hiking is the second person younger than A in the age order (exactly one person was born between them). D likes drawing but is not the youngest. C was born in an even-numbered year and is older than the person who likes climbing. Exactly three persons were born between G and the person who likes reading.

    Q66.How many persons are younger than the person who likes running?

    • ANone
    • BFour
    • CTwo
    • DThree
    • EOne

    Answer: (D) Three

    Ages: 1947 = 78, 1962 = 63, 1974 = 51, 1981 = 44, 1987 = 38, 1998 = 27, 2009 = 16. Testing the clues gives a single arrangement (oldest to youngest): B (1947, 78, reading), D (1962, 63, drawing), A (1974, 51, dancing), F (1981, 44, running), G (1987, 38, hiking), C (1998, 27, swimming), E (2009, 16, climbing). Check: dancing age 51 is a multiple of 3; 78 - 51 = 27 is odd; four persons between B and swimming (C); F = 44 is even; 44 + 51 = 95; hiking (G) is two places younger than A; C (1998) is older than climbing (E); three persons between G and reading (B). Running is F (44); G, C and E are younger: three persons.

  2. Q67.What is the sum of the ages of E and A?

    • A67 years
    • B78 years
    • C90 years
    • D54 years
    • ENone of these

    Answer: (A) 67 years

    Ages: 1947 = 78, 1962 = 63, 1974 = 51, 1981 = 44, 1987 = 38, 1998 = 27, 2009 = 16. Testing the clues gives a single arrangement (oldest to youngest): B (1947, 78, reading), D (1962, 63, drawing), A (1974, 51, dancing), F (1981, 44, running), G (1987, 38, hiking), C (1998, 27, swimming), E (2009, 16, climbing). Check: dancing age 51 is a multiple of 3; 78 - 51 = 27 is odd; four persons between B and swimming (C); F = 44 is even; 44 + 51 = 95; hiking (G) is two places younger than A; C (1998) is older than climbing (E); three persons between G and reading (B). E = 16 and A = 51, total 67 years.

  3. Q68.Which activity is liked by the person born in 1974?

    • ARunning
    • BDrawing
    • CClimbing
    • DReading
    • EDancing

    Answer: (E) Dancing

    Ages: 1947 = 78, 1962 = 63, 1974 = 51, 1981 = 44, 1987 = 38, 1998 = 27, 2009 = 16. Testing the clues gives a single arrangement (oldest to youngest): B (1947, 78, reading), D (1962, 63, drawing), A (1974, 51, dancing), F (1981, 44, running), G (1987, 38, hiking), C (1998, 27, swimming), E (2009, 16, climbing). Check: dancing age 51 is a multiple of 3; 78 - 51 = 27 is odd; four persons between B and swimming (C); F = 44 is even; 44 + 51 = 95; hiking (G) is two places younger than A; C (1998) is older than climbing (E); three persons between G and reading (B). The person born in 1974 is A, who likes dancing.

  4. Q69.Who among the following likes hiking?

    • AB
    • BF
    • CG
    • DE
    • EA

    Answer: (C) G

    Ages: 1947 = 78, 1962 = 63, 1974 = 51, 1981 = 44, 1987 = 38, 1998 = 27, 2009 = 16. Testing the clues gives a single arrangement (oldest to youngest): B (1947, 78, reading), D (1962, 63, drawing), A (1974, 51, dancing), F (1981, 44, running), G (1987, 38, hiking), C (1998, 27, swimming), E (2009, 16, climbing). Check: dancing age 51 is a multiple of 3; 78 - 51 = 27 is odd; four persons between B and swimming (C); F = 44 is even; 44 + 51 = 95; hiking (G) is two places younger than A; C (1998) is older than climbing (E); three persons between G and reading (B). G likes hiking.

  5. Q70.Four of the following five are alike in a certain way based on their ages and so form a group. Who does not belong to that group?

    • AE
    • BB
    • CF
    • DD
    • EG

    Answer: (D) D

    Ages: 1947 = 78, 1962 = 63, 1974 = 51, 1981 = 44, 1987 = 38, 1998 = 27, 2009 = 16. Testing the clues gives a single arrangement (oldest to youngest): B (1947, 78, reading), D (1962, 63, drawing), A (1974, 51, dancing), F (1981, 44, running), G (1987, 38, hiking), C (1998, 27, swimming), E (2009, 16, climbing). Check: dancing age 51 is a multiple of 3; 78 - 51 = 27 is odd; four persons between B and swimming (C); F = 44 is even; 44 + 51 = 95; hiking (G) is two places younger than A; C (1998) is older than climbing (E); three persons between G and reading (B). B (78), F (44), G (38) and E (16) have even ages; D (63) has an odd age.

  6. Eight persons A, C, G, H, J, P, R and T live in a four-storey building. The lowest floor is floor 1 and the top floor is floor 4. Each floor has two flats, Flat-1 (west) and Flat-2 (east); Flat-1 of each floor is directly above Flat-1 of the floor below, and likewise for Flat-2. One person lives in each flat. A lives exactly one floor above C, in the same type of flat. C lives on an odd-numbered floor, and no one lives to the west of C. P lives in the flat immediately east of the person who lives exactly one floor below H, in the same type of flat as H. J and R live in different types of flats. Exactly two floors lie between the floors of G and R, and R lives below G. P does not live on the lowest floor. J does not live on floor 4.

    Q71.Who lives in Flat-2 on the 3rd floor?

    • AG
    • BP
    • CC
    • DA
    • EH

    Answer: (B) P

    C is in Flat-1 on floor 1 or 3, with A directly above. G and R are three floors apart, so R is on floor 1 and G on floor 4. If C were on floor 3, A would be on floor 4 and no position of H would let P sit east of the person below H above floor 1; so C is on floor 1 (Flat-1), R in Flat-2 of floor 1, and A in Flat-1 of floor 2. H must be in Flat-1, with P east of the person directly below H. H on floor 3 would put P in Flat-2 of floor 2 and force J into Flat-2 of floor 3, the same type as R; so H is in Flat-1 of floor 4, J (who must be in Flat-1 and not on floor 4) is in Flat-1 of floor 3, and P is in Flat-2 of floor 3. G takes Flat-2 of floor 4 and T Flat-2 of floor 2. Final (Flat-1, Flat-2): floor 4: H, G; floor 3: J, P; floor 2: A, T; floor 1: C, R. Flat-2 of floor 3 is P.

  7. Q72.Which of the following pairs live on the same floor?

    • AC and H
    • BG and J
    • CT and C
    • DP and T
    • EA and T

    Answer: (E) A and T

    C is in Flat-1 on floor 1 or 3, with A directly above. G and R are three floors apart, so R is on floor 1 and G on floor 4. If C were on floor 3, A would be on floor 4 and no position of H would let P sit east of the person below H above floor 1; so C is on floor 1 (Flat-1), R in Flat-2 of floor 1, and A in Flat-1 of floor 2. H must be in Flat-1, with P east of the person directly below H. H on floor 3 would put P in Flat-2 of floor 2 and force J into Flat-2 of floor 3, the same type as R; so H is in Flat-1 of floor 4, J (who must be in Flat-1 and not on floor 4) is in Flat-1 of floor 3, and P is in Flat-2 of floor 3. G takes Flat-2 of floor 4 and T Flat-2 of floor 2. Final (Flat-1, Flat-2): floor 4: H, G; floor 3: J, P; floor 2: A, T; floor 1: C, R. A and T both live on floor 2.

  8. Q73.Who lives immediately to the west of P?

    • AJ
    • BG
    • CA
    • DT
    • ER

    Answer: (A) J

    C is in Flat-1 on floor 1 or 3, with A directly above. G and R are three floors apart, so R is on floor 1 and G on floor 4. If C were on floor 3, A would be on floor 4 and no position of H would let P sit east of the person below H above floor 1; so C is on floor 1 (Flat-1), R in Flat-2 of floor 1, and A in Flat-1 of floor 2. H must be in Flat-1, with P east of the person directly below H. H on floor 3 would put P in Flat-2 of floor 2 and force J into Flat-2 of floor 3, the same type as R; so H is in Flat-1 of floor 4, J (who must be in Flat-1 and not on floor 4) is in Flat-1 of floor 3, and P is in Flat-2 of floor 3. G takes Flat-2 of floor 4 and T Flat-2 of floor 2. Final (Flat-1, Flat-2): floor 4: H, G; floor 3: J, P; floor 2: A, T; floor 1: C, R. J lives in Flat-1 of floor 3, west of P.

  9. Q74.Which of the following statements is/are definitely true? I. A lives on a floor below P. II. Exactly one floor lies below H's floor. III. G lives two floors above J.

    • AOnly I
    • BBoth I and II
    • CBoth II and III
    • DOnly III
    • EBoth I and III

    Answer: (A) Only I

    C is in Flat-1 on floor 1 or 3, with A directly above. G and R are three floors apart, so R is on floor 1 and G on floor 4. If C were on floor 3, A would be on floor 4 and no position of H would let P sit east of the person below H above floor 1; so C is on floor 1 (Flat-1), R in Flat-2 of floor 1, and A in Flat-1 of floor 2. H must be in Flat-1, with P east of the person directly below H. H on floor 3 would put P in Flat-2 of floor 2 and force J into Flat-2 of floor 3, the same type as R; so H is in Flat-1 of floor 4, J (who must be in Flat-1 and not on floor 4) is in Flat-1 of floor 3, and P is in Flat-2 of floor 3. G takes Flat-2 of floor 4 and T Flat-2 of floor 2. Final (Flat-1, Flat-2): floor 4: H, G; floor 3: J, P; floor 2: A, T; floor 1: C, R. I is true (A on floor 2, P on floor 3). II is false (H is on floor 4, with three floors below). III is false (G is only one floor above J).

  10. Q75.Who lives in the flat that is diagonally north-west of T's flat (one floor up, in the other type of flat)?

    • AC
    • BP
    • CA
    • DJ
    • ENone of these

    Answer: (D) J

    C is in Flat-1 on floor 1 or 3, with A directly above. G and R are three floors apart, so R is on floor 1 and G on floor 4. If C were on floor 3, A would be on floor 4 and no position of H would let P sit east of the person below H above floor 1; so C is on floor 1 (Flat-1), R in Flat-2 of floor 1, and A in Flat-1 of floor 2. H must be in Flat-1, with P east of the person directly below H. H on floor 3 would put P in Flat-2 of floor 2 and force J into Flat-2 of floor 3, the same type as R; so H is in Flat-1 of floor 4, J (who must be in Flat-1 and not on floor 4) is in Flat-1 of floor 3, and P is in Flat-2 of floor 3. G takes Flat-2 of floor 4 and T Flat-2 of floor 2. Final (Flat-1, Flat-2): floor 4: H, G; floor 3: J, P; floor 2: A, T; floor 1: C, R. T is in Flat-2 of floor 2. One floor up in Flat-1 is J.

Reasoning - Inequality (Q76–78)

  1. Q76.In the question below, the relationship between different elements is shown in the statement, followed by two conclusions. Decide which conclusion(s) definitely follow. Statement: G = H > K = I ≥ L > M = N ≥ O < P Conclusions: I. G ≥ P II. L > O

    • AOnly conclusion I is true
    • BOnly conclusion II is true
    • CEither conclusion I or II is true
    • DNeither conclusion I nor II is true
    • EBoth conclusions I and II are true

    Answer: (B) Only conclusion II is true

    L > M = N ≥ O gives L > O, so II is true. O < P only bounds P from below, so G and P cannot be compared and I is not definite.

  2. Q77.In the question below, the relationship between different elements is shown in the statement, followed by two conclusions. Decide which conclusion(s) definitely follow. Statement: A = B > C ≥ D < E > O < L ≤ F > G Conclusions: I. A > F II. D < G

    • AOnly conclusion I is true
    • BOnly conclusion II is true
    • CEither conclusion I or II is true
    • DNeither conclusion I nor II is true
    • EBoth conclusions I and II are true

    Answer: (D) Neither conclusion I nor II is true

    The chain changes direction at D (D < E) and at O (E > O < L), so A and F cannot be compared, and neither can D and G. Neither conclusion is definite.

  3. Q78.In the question below, the relationship between different elements is shown in the statement, followed by two conclusions. Decide which conclusion(s) definitely follow. Statement: W < U ≤ V = K ≤ X < Y > Z ≤ T = H Conclusions: I. X > W II. U < Z

    • AOnly conclusion I is true
    • BOnly conclusion II is true
    • CEither conclusion I or II is true
    • DNeither conclusion I nor II is true
    • EBoth conclusions I and II are true

    Answer: (A) Only conclusion I is true

    W < U ≤ V = K ≤ X gives X > W, so I is true. Y > Z breaks the chain between U and Z, so II is not definite.

Reasoning - Seating Arrangement (Q79–81)

  1. Some persons sit in a single row, all facing north. The total number of persons is not given. Exactly four persons sit between L and D. H sits second to the left of L. The number of persons between S and D equals the number between D and H. S sits third from one of the ends of the row. Exactly four persons sit between W and S. P sits immediately to the right of W. The number of persons sitting between P and S is two more than the number of persons sitting to the left of H.

    Q79.Who sits eighth to the left of P?

    • AH
    • BD
    • CW
    • DS
    • EL

    Answer: (E) L

    Facing north, left means west; count seats from the left end. H is second to the left of L, and D is five places from L. Testing the cases, the only one that works is: H 2nd, L 4th and D 9th. S is as far from D as H is (seven places), so S is 16th; S is third from one end, so it is third from the right and the row has 18 persons. W is five places from S, at 11th, and P is 12th. Persons between P (12th) and S (16th) = 3, which is two more than the one person to the left of H. P is 12th from the left, so the person eighth to its left is 4th from the left, which is L.

  2. Q80.What is the position of D in the row?

    • ANinth from the left end
    • BSeventh from the right end
    • CNinth from the right end
    • DEighth from the left end
    • EEighth from the right end

    Answer: (A) Ninth from the left end

    Facing north, left means west; count seats from the left end. H is second to the left of L, and D is five places from L. Testing the cases, the only one that works is: H 2nd, L 4th and D 9th. S is as far from D as H is (seven places), so S is 16th; S is third from one end, so it is third from the right and the row has 18 persons. W is five places from S, at 11th, and P is 12th. Persons between P (12th) and S (16th) = 3, which is two more than the one person to the left of H. D is 9th from the left (and 10th from the right).

  3. Q81.How many persons sit in the row?

    • A13
    • B14
    • C18
    • D16
    • E19

    Answer: (C) 18

    Facing north, left means west; count seats from the left end. H is second to the left of L, and D is five places from L. Testing the cases, the only one that works is: H 2nd, L 4th and D 9th. S is as far from D as H is (seven places), so S is 16th; S is third from one end, so it is third from the right and the row has 18 persons. W is five places from S, at 11th, and P is 12th. Persons between P (12th) and S (16th) = 3, which is two more than the one person to the left of H. There are 18 persons in the row.

Reasoning - Alphabet Test (Q82–82)

  1. Q82.Find the odd one out.

    • ADFUC
    • BLNMK
    • COQJN
    • DXZAV
    • ECEVB

    Answer: (D) XZAV

    In each group, the 2nd letter is two places after the 1st, the 3rd letter is the opposite (mirror) letter of the 2nd (their positions add to 27), and the 4th letter is one place before the 1st: D F U C, L N M K, O Q J N, C E V B. In XZAV the last letter should be W, not V.

Reasoning - Puzzle (Q83–87)

  1. Six persons P, Q, R, S, T and U live in six different countries (Singapore, Philippines, England, Vietnam, Finland and Canada) and hold six different designations. For this puzzle, the designations in order from junior-most to senior-most are: HRM, CEO, GM, LSP, PH, CTO (each person holds one). U lives in England and is immediately senior to S. R is senior to T, and T does not live in the Philippines. The persons living in England and Vietnam hold adjacent designations. P does not live in Singapore. R is immediately senior to the person who lives in Finland. Exactly three persons are junior to P. The person who lives in Canada is immediately senior to P. At least three designations lie between the persons who live in Canada and Vietnam.

    Q83.Which of the following combinations is true?

    • AQ - Canada
    • BP - Singapore
    • CS - Finland
    • DBoth T - Singapore and U - England
    • ER - Philippines

    Answer: (D) Both T - Singapore and U - England

    Three persons are junior to P, so P is LSP and the Canada person is PH. Canada and Vietnam are at least four levels apart, so Vietnam is HRM. England (U) is adjacent to Vietnam, so U is CEO and S (just below U) is HRM in Vietnam. R is immediately senior to the Finland person and senior to T: R must be PH (Canada) with P in Finland. T is GM and Q is CTO. T is not in the Philippines and P is not in Singapore, so Q lives in the Philippines and T in Singapore. Senior to junior: Q (CTO, Philippines), R (PH, Canada), P (LSP, Finland), T (GM, Singapore), U (CEO, England), S (HRM, Vietnam). T lives in Singapore and U in England, so that option is true; each of the other combinations is false.

  2. Q84.Who is designated as HRM?

    • AU
    • BP
    • CThe person who lives in the Philippines
    • DS
    • ENone of these

    Answer: (D) S

    Three persons are junior to P, so P is LSP and the Canada person is PH. Canada and Vietnam are at least four levels apart, so Vietnam is HRM. England (U) is adjacent to Vietnam, so U is CEO and S (just below U) is HRM in Vietnam. R is immediately senior to the Finland person and senior to T: R must be PH (Canada) with P in Finland. T is GM and Q is CTO. T is not in the Philippines and P is not in Singapore, so Q lives in the Philippines and T in Singapore. Senior to junior: Q (CTO, Philippines), R (PH, Canada), P (LSP, Finland), T (GM, Singapore), U (CEO, England), S (HRM, Vietnam). S is the HRM.

  3. Q85.Who lives in Canada?

    • AT
    • BU
    • CR
    • DP
    • ES

    Answer: (C) R

    Three persons are junior to P, so P is LSP and the Canada person is PH. Canada and Vietnam are at least four levels apart, so Vietnam is HRM. England (U) is adjacent to Vietnam, so U is CEO and S (just below U) is HRM in Vietnam. R is immediately senior to the Finland person and senior to T: R must be PH (Canada) with P in Finland. T is GM and Q is CTO. T is not in the Philippines and P is not in Singapore, so Q lives in the Philippines and T in Singapore. Senior to junior: Q (CTO, Philippines), R (PH, Canada), P (LSP, Finland), T (GM, Singapore), U (CEO, England), S (HRM, Vietnam). R lives in Canada.

  4. Q86.How many persons are junior to the person who lives in the Philippines?

    • ATwo
    • BFour
    • CFive
    • DOne
    • EThree

    Answer: (C) Five

    Three persons are junior to P, so P is LSP and the Canada person is PH. Canada and Vietnam are at least four levels apart, so Vietnam is HRM. England (U) is adjacent to Vietnam, so U is CEO and S (just below U) is HRM in Vietnam. R is immediately senior to the Finland person and senior to T: R must be PH (Canada) with P in Finland. T is GM and Q is CTO. T is not in the Philippines and P is not in Singapore, so Q lives in the Philippines and T in Singapore. Senior to junior: Q (CTO, Philippines), R (PH, Canada), P (LSP, Finland), T (GM, Singapore), U (CEO, England), S (HRM, Vietnam). Q (Philippines) is the CTO, so all other five are junior.

  5. Q87.Which of the following statements is NOT true?

    • AR is junior to U
    • BU is designated CEO
    • CS lives in Vietnam
    • DThree persons are junior to the person who lives in Finland
    • ET is designated GM

    Answer: (A) R is junior to U

    Three persons are junior to P, so P is LSP and the Canada person is PH. Canada and Vietnam are at least four levels apart, so Vietnam is HRM. England (U) is adjacent to Vietnam, so U is CEO and S (just below U) is HRM in Vietnam. R is immediately senior to the Finland person and senior to T: R must be PH (Canada) with P in Finland. T is GM and Q is CTO. T is not in the Philippines and P is not in Singapore, so Q lives in the Philippines and T in Singapore. Senior to junior: Q (CTO, Philippines), R (PH, Canada), P (LSP, Finland), T (GM, Singapore), U (CEO, England), S (HRM, Vietnam). R (PH) is senior to U (CEO), so 'R is junior to U' is false. The rest are true.

Reasoning - Number Series (Q88–88)

  1. Q88.How many pairs of digits are there in the number 758231265, each of which has as many digits between them in the number (in both forward and backward directions) as there are between them in the number series?

    • ATwo
    • BMore than four
    • CFour
    • DOne
    • EThree

    Answer: (B) More than four

    Checking every pair: 7-3, 5-1, 2-3 (positions 4 and 5), 2-6 (positions 4 and 8), 3-6, 1-2 (positions 6 and 7) and 6-5 qualify, i.e. seven pairs, which is more than four.

Reasoning - Direction Sense (Q89–91)

  1. Point E is 17 m east of point D. Point M is 47 m north of point D. Point M is 3 m west of point A. Point A is 37 m north of point S. Point X is 23 m north of point E. Point Y is 2 m west of point X. Point W is 5 m south of point Y. Point F is 3 m west of point W.

    Q89.In which direction is point A with respect to point X?

    • ASouth-west
    • BNorth-east
    • CNorth-west
    • DEast
    • ESouth-east

    Answer: (C) North-west

    Take D as (0, 0) with east and north positive: E (17, 0), M (0, 47), A (3, 47), S (3, 10), X (17, 23), Y (15, 23), W (15, 18), F (12, 18). A (3, 47) is north and west of X (17, 23), i.e. north-west.

  2. Q90.In each pair below, consider the direction of the first point with respect to the second. Four pairs are alike in this way. Which pair does not belong to the group?

    • AMS
    • BAE
    • CYE
    • DFW
    • EMX

    Answer: (D) FW

    Take D as (0, 0) with east and north positive: E (17, 0), M (0, 47), A (3, 47), S (3, 10), X (17, 23), Y (15, 23), W (15, 18), F (12, 18). A is north-west of E, M of S, Y of E and M of X; but F is due west of W.

  3. Q91.In which direction is point D with respect to point Y?

    • ANorth
    • BNorth-east
    • CSouth
    • DNorth-west
    • ESouth-west

    Answer: (E) South-west

    Take D as (0, 0) with east and north positive: E (17, 0), M (0, 47), A (3, 47), S (3, 10), X (17, 23), Y (15, 23), W (15, 18), F (12, 18). D (0, 0) is south and west of Y (15, 23), i.e. south-west.

Reasoning - Word Formation (Q92–92)

  1. Q92.How many meaningful English words can be formed using the 1st, 2nd, 8th and 9th letters from the left of the word REFRIGERATOR, using each letter exactly once? If no word can be formed, the answer is @; if more than three words can be formed, the answer is #.

    • A1
    • B2
    • C3
    • D#
    • E@

    Answer: (B) 2

    The letters are R, E, R and A. Two common words can be formed: REAR and RARE.

Reasoning - Seating Arrangement (Q93–97)

  1. Fourteen persons sit in two parallel rows of seven, so that each person in one row directly faces one person in the other row. In Row 1, J, K, L, M, N, O and P sit facing south; in Row 2, R, S, T, U, V, W and X sit facing north (not necessarily in these orders). R sits third to the right of the person who faces the one sitting second to the right of M. K faces one of the immediate neighbours of T. J faces W. No one sits between P and O. Exactly two persons sit between S and X. More than two persons sit between X and V. L sits third to the left of N, and L sits at one end of the row. S faces the person sitting immediately to the right of N. More than three persons sit between M and J. O faces neither V nor X.

    Q93.Who sits directly opposite L?

    • AR
    • BThe person immediately to the right of X
    • CU
    • DBoth R and the person immediately to the right of X
    • ES

    Answer: (D) Both R and the person immediately to the right of X

    Row 1 faces south, so a Row 1 person's right is towards the west; Row 2 faces north, so its right is towards the east. Listing both rows from west to east, the only arrangement meeting every clue is Row 1: J, P, O, N, K, M, L and Row 2: W, V, S, T, U, X, R (each person faces the one in the same column). L (east end of Row 1) faces R. R is also immediately to the right of X (Row 2 faces north, so X's right is east). So both descriptions fit.

  2. Q94.Four of the following five are alike in a certain way based on their positions and so form a group. Who does not belong to that group?

    • AM
    • BW
    • CS
    • DP
    • EX

    Answer: (B) W

    Row 1 faces south, so a Row 1 person's right is towards the west; Row 2 faces north, so its right is towards the east. Listing both rows from west to east, the only arrangement meeting every clue is Row 1: J, P, O, N, K, M, L and Row 2: W, V, S, T, U, X, R (each person faces the one in the same column). P, M, X and S do not sit at an end of their rows; W sits at the west end of Row 2.

  3. Q95.Which of the following statements about the two rows is true?

    • AP sits second to the left of N
    • BExactly three persons sit between X and W
    • CN sits opposite U
    • DP sits opposite the person immediately to the left of S
    • ENone of these

    Answer: (D) P sits opposite the person immediately to the left of S

    Row 1 faces south, so a Row 1 person's right is towards the west; Row 2 faces north, so its right is towards the east. Listing both rows from west to east, the only arrangement meeting every clue is Row 1: J, P, O, N, K, M, L and Row 2: W, V, S, T, U, X, R (each person faces the one in the same column). S faces north, so the person immediately to its left (west) is V, and P faces V. The other statements are false.

  4. Q96.How many persons sit between P and the person who sits opposite X?

    • ATwo
    • BThree
    • CFour
    • DOne
    • EMore than four

    Answer: (B) Three

    Row 1 faces south, so a Row 1 person's right is towards the west; Row 2 faces north, so its right is towards the east. Listing both rows from west to east, the only arrangement meeting every clue is Row 1: J, P, O, N, K, M, L and Row 2: W, V, S, T, U, X, R (each person faces the one in the same column). X faces M. Between P and M in Row 1 are O, N and K: three persons.

  5. Q97.In which of the following pairs do both persons sit at an end of their respective rows?

    • AW, M
    • BJ, U
    • CL, P
    • DJ, R
    • ENone of these

    Answer: (D) J, R

    Row 1 faces south, so a Row 1 person's right is towards the west; Row 2 faces north, so its right is towards the east. Listing both rows from west to east, the only arrangement meeting every clue is Row 1: J, P, O, N, K, M, L and Row 2: W, V, S, T, U, X, R (each person faces the one in the same column). J is at the west end of Row 1 and R at the east end of Row 2.

Reasoning - Syllogism (Q98–100)

  1. Q98.In the question below, some statements are followed by two conclusions. Take the statements to be true even if they seem to be at variance with commonly known facts, and decide which conclusion(s) logically follow. Statements: Only a few retros are powers. Some powers are fights. No fight is risky. Conclusions: I. Some retros being fights is a possibility. II. No power is risky.

    • AOnly conclusion I follows
    • BOnly conclusion II follows
    • CEither conclusion I or II follows
    • DNeither conclusion I nor II follows
    • EBoth conclusions I and II follow

    Answer: (A) Only conclusion I follows

    Nothing prevents some retros from being fights, so I is a valid possibility. Powers that are not fights may be risky, so II does not follow.

  2. Q99.In the question below, some statements are followed by two conclusions. Take the statements to be true even if they seem to be at variance with commonly known facts, and decide which conclusion(s) logically follow. Statements: Only a few greys are works. All works are goods. No good is a food. Conclusions: I. All works being foods is a possibility. II. No grey is a food.

    • AOnly conclusion I follows
    • BOnly conclusion II follows
    • CEither conclusion I or II follows
    • DNeither conclusion I nor II follows
    • EBoth conclusions I and II follow

    Answer: (D) Neither conclusion I nor II follows

    All works are goods and no good is a food, so no work can be a food; I is impossible. Greys that are not works may still be foods, so II does not follow either.

  3. Q100.In the question below, some statements are followed by two conclusions. Take the statements to be true even if they seem to be at variance with commonly known facts, and decide which conclusion(s) logically follow. Statements: Some regulates are orders. All orders are declares. Some declares are segments. Conclusions: I. Some regulates are declares. II. No order is a segment.

    • AOnly conclusion I follows
    • BOnly conclusion II follows
    • CEither conclusion I or II follows
    • DNeither conclusion I nor II follows
    • EBoth conclusions I and II follow

    Answer: (A) Only conclusion I follows

    The regulates that are orders are also declares, so I follows. Orders may or may not be segments, so II does not follow.

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