IBPS PO 2025 Prelims Memory-Based Paper 23 August Shift 1 with Answers
- Exam date
- 23 August 2025
- Shift
- Shift 19:00 AM
- 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.
Tip: attempt the paper first, then come back here to check every answer and solution.
English - Reading Comprehension (Q1–9)
- Note: This paper is recreated from candidate recall; IBPS does not release official question papers. Every question re-verified by BookOfExams. Read the passage and answer the questions that follow. Cloud kitchens, also called ghost or virtual kitchens, are among the fastest-growing ideas in the food business. Unlike ordinary restaurants, they have no dining hall. They cook only for online orders that are delivered to customers' homes. Changing habits, smartphone apps and the demand for convenience have all helped the model spread. The biggest economic advantage of a cloud kitchen is its low cost. There is no need to rent an expensive site on a busy street, spend on decoration or employ waiters. The money saved can go into better food, marketing and faster delivery. For many young cooks, opening a restaurant was once an elusive dream; a cloud kitchen lets them start with far less money and in far less time. The growth has been striking. In Britain, the sector expanded to almost three times its earlier size in 2023, helped by delivery apps on which a customer needs only to tap a screen once to order a meal. In the United States, the industry hopes to earn about 27 billion dollars from cloud kitchens over the five years from 2027 to 2032. Cloud kitchens also support the wider economy. They create jobs in cooking, packing, delivery and technology, and they increase business for packaging makers and food suppliers. Much of this work is done __________, out of the customer's sight, yet it strengthens many parts of the economy. The rapid growth has also raised worries. Governments have laid down rules on hygiene, licences and safety, but many cloud kitchens do not follow them strictly. With few inspections and a constant rush to meet orders, corners are often cut, which raises questions about the safety of the food and the future of the business. Cloud kitchens are cheap to run, easy to expand and good for jobs, but their full promise will be realised only when the rules on quality and safety are strictly obeyed.
Q1.According to the passage, what is the main reason cloud kitchens have allowed more people to start a food business?
- AThey can serve customers in every country without limits.
- BDelivery apps pay new cooks to join their platforms.
- CGovernments give them free kitchens in large cities.
- DGlobal food trends now demand new kinds of business models.
- EThey need far less money to set up and run than ordinary restaurants.
Answer: (E) They need far less money to set up and run than ordinary restaurants.
The second paragraph says the biggest advantage is low cost (no costly site, decoration or waiters) and that a cloud kitchen lets young cooks start with far less money and time. The other options are not stated.
Q2.Which of the following statements is/are correct according to the passage? (I) Smartphone apps have helped cloud kitchens spread. (II) The cloud kitchen market in Britain did not grow at all until 2023. (III) Many cloud kitchens do not follow safety rules strictly because they are in a hurry to meet orders.
- AOnly (I)
- BBoth (I) and (III)
- COnly (II)
- DBoth (II) and (III)
- EAll (I), (II) and (III)
Answer: (B) Both (I) and (III)
(I) is stated in the first and third paragraphs. (III) is stated in the last paragraph (a constant rush to meet orders, corners are cut). (II) is not supported: the passage says the sector tripled in 2023, not that it had never grown before.
Q3.Which of the following situations best illustrates the concern raised in the last paragraph?
- AA traditional restaurant buys a robot to cut its labour costs.
- BA street vendor moves to a cloud kitchen and earns more profit.
- CA delivery app offers discounts on meals from new cloud kitchens.
- DA food inspector checks only dine-in restaurants in a city.
- EA busy cloud kitchen skips cleaning its equipment so that it can send out orders faster.
Answer: (E) A busy cloud kitchen skips cleaning its equipment so that it can send out orders faster.
The concern is that cloud kitchens cut corners on hygiene and safety in the rush to meet demand. Skipping cleaning to send orders faster is exactly this.
Q4.What does the passage say about cloud kitchens in Britain?
- AThey were banned in 2023 over safety concerns.
- BThey dealt only in packaging and delivery.
- CThey were started for the first time in 2023.
- DThe sector grew to almost three times its earlier size in 2023.
- EThey replaced all traditional restaurants by 2023.
Answer: (D) The sector grew to almost three times its earlier size in 2023.
The third paragraph says that in Britain the sector expanded to almost three times its earlier size in 2023.
Q5.Which of the following statements is/are factually INCORRECT according to the passage? (I) Cloud kitchens have had almost no effect on packaging makers and food suppliers. (II) Cloud kitchens in the United States are expected to earn about 27 billion dollars in the year 2027 alone. (III) Lower fixed costs are a key reason behind the spread of cloud kitchens.
- AOnly (I)
- BBoth (I) and (II)
- COnly (III)
- DBoth (I) and (III)
- EAll (I), (II) and (III)
Answer: (B) Both (I) and (II)
(I) is incorrect: the passage says they increase business for packaging makers and food suppliers. (II) is incorrect: the 27 billion dollars is over 2027 to 2032, not 2027 alone. (III) is correct.
Q6.Which phrase best fills the blank in the fourth paragraph: 'Much of this work is done __________, out of the customer's sight'?
- Ain broad daylight
- Bunder pressure
- Cwithout permission
- Dbehind the scenes
- Eon live television
Answer: (D) behind the scenes
The words 'out of the customer's sight' tell us the work is unseen. 'Behind the scenes' means out of public view.
Q7.Which word can best replace 'elusive' as used in the passage, keeping the meaning the same?
- Adefining
- Bobvious
- Cordinary
- Dachievable
- Eunattainable
Answer: (E) unattainable
An elusive dream is one that is hard to reach. Of the options, unattainable (out of reach) is closest; achievable is the opposite.
Q8.What is the closest meaning of the word 'done' as used in the passage ('Much of this work is done __________')?
- Acheated
- Bavoided
- Ccooked through
- Dfinished with
- Ecarried out
Answer: (E) carried out
Here done means performed or carried out: the work is performed out of sight. It does not mean finished, avoided or cooked.
Q9.What is the most appropriate meaning of the word 'tap' as used in the passage?
- Asecretly listen to
- Bmake use of
- Cstrike hard
- Dtouch lightly
- Edraw liquid from
Answer: (D) touch lightly
A customer needs only to tap a screen once, that is, to touch it lightly. The other options are other senses of tap that do not fit here.
English - Fillers (Q10–14)
Q10.Choose the most appropriate word to fill the blank in the sentence. To keep the infection from spreading, the doctor decided to __________ the rotten tooth.
- Aamplify
- Bmodify
- Crecruit
- Dextract
- Eexcuse
Answer: (D) extract
A rotten tooth is pulled out, that is, extracted. The other verbs do not make sense with a tooth.
Q11.Choose the most appropriate word to fill the blank in the sentence. Experts believe the new app could __________ the way people pay their bills.
- Aimpede
- Bacclaim
- Cdeteriorate
- Dstagnate
- Etransform
Answer: (E) transform
The sentence points to a big positive change, and 'transform the way people...' is the natural phrase. Impede and deteriorate are negative, acclaim means praise, and stagnate does not take an object.
Q12.Choose the most appropriate word to fill the blank in the sentence. The athlete's hard training and firm determination __________ to her remarkable success.
- Aunderestimated
- Bcontributed
- Cdetracted
- Dimpeded
- Eisolated
Answer: (B) contributed
Only 'contributed' is followed by 'to' in the sense of helping to cause something. Training and determination contributed to her success.
Q13.Choose the most appropriate word to fill the blank in the sentence. The competition commission wants to __________ a level playing field for every firm in the sector.
- Apromote
- Binfringe
- Cfragment
- Dconstrain
- Erelinquish
Answer: (A) promote
A commission that wants fairness would promote (encourage) a level playing field. The other verbs mean breaking, giving up, limiting or breaking up.
Q14.Choose the most appropriate word to fill the blank in the sentence. Every invigilator must __________ follow the exam rules so that no candidate is treated unfairly.
- Apreciously
- Bscarcely
- Chardly
- Dbarely
- Estrictly
Answer: (E) strictly
Rules meant to keep things fair must be followed strictly. Scarcely, hardly and barely mean almost not, and preciously does not fit.
English - Para Jumbles (Q15–19)
- Rearrange the following five sentences (A), (B), (C), (D) and (E) to form a meaningful paragraph, and answer the questions that follow. (A) As a result, many people now plan longer holidays simply to rest and reconnect with themselves. (B) Travel has therefore become a way not only to see new places but also to escape the pressure of daily routines for a while. (C) In today's fast-paced world, crowded schedules and constant screen time leave many people exhausted. (D) Meeting new people, discovering other cultures and switching off from work all help to refresh the mind. (E) This change in travel habits shows a growing awareness of mental well-being and of the need for planned breaks.
Q15.Which is the FIRST sentence after rearrangement?
- AA
- BB
- CC
- DD
- EE
Answer: (C) C
The correct order is C, B, A, D, E. C introduces the problem (exhaustion); B says travel has therefore become an escape; A gives the result (longer holidays); D explains how such breaks refresh the mind; E concludes with what this change shows. First: C.
Q16.Which is the SECOND sentence after rearrangement?
- AA
- BB
- CC
- DD
- EE
Answer: (B) B
The correct order is C, B, A, D, E. C introduces the problem (exhaustion); B says travel has therefore become an escape; A gives the result (longer holidays); D explains how such breaks refresh the mind; E concludes with what this change shows. Second: B.
Q17.Which is the THIRD sentence after rearrangement?
- AA
- BB
- CC
- DD
- EE
Answer: (A) A
The correct order is C, B, A, D, E. C introduces the problem (exhaustion); B says travel has therefore become an escape; A gives the result (longer holidays); D explains how such breaks refresh the mind; E concludes with what this change shows. Third: A.
Q18.Which is the FOURTH sentence after rearrangement?
- AA
- BB
- CC
- DD
- EE
Answer: (D) D
The correct order is C, B, A, D, E. C introduces the problem (exhaustion); B says travel has therefore become an escape; A gives the result (longer holidays); D explains how such breaks refresh the mind; E concludes with what this change shows. Fourth: D.
Q19.Which is the FIFTH sentence after rearrangement?
- AA
- BB
- CC
- DD
- EE
Answer: (E) E
The correct order is C, B, A, D, E. C introduces the problem (exhaustion); B says travel has therefore become an escape; A gives the result (longer holidays); D explains how such breaks refresh the mind; E concludes with what this change shows. Fifth: E.
English - Word Swap (Q20–23)
Q20.In the sentence below, four words are marked (A), (B), (C) and (D). Some of them may be in the wrong places. Choose the option that shows which words should be interchanged to make the sentence meaningful and correct. If no change is needed, choose 'No interchange required'. Be careful (A) not to oven (B) the hot dish (C) when you take it out of the touch (D).
- AA-B
- BB-C and A-D
- CA-B and C-D
- DB-D
- ENo interchange required
Answer: (D) B-D
Interchanging oven (B) and touch (D) gives: 'Be careful not to touch the hot dish when you take it out of the oven.'
Q21.In the sentence below, four words are marked (A), (B), (C) and (D). Some of them may be in the wrong places. Choose the option that shows which words should be interchanged to make the sentence meaningful and correct. If no change is needed, choose 'No interchange required'. The city is network (A) modernising its bus rapidly (B), and electric buses offer a great shift (C) to speed up this chance (D).
- AA-B and C-D
- BB-C
- CA-C and B-D
- DB-D
- ENo interchange required
Answer: (A) A-B and C-D
Interchange A-B and C-D: 'The city is rapidly modernising its bus network, and electric buses offer a great chance to speed up this shift.'
Q22.In the sentence below, four words are marked (A), (B), (C) and (D). Some of them may be in the wrong places. Choose the option that shows which words should be interchanged to make the sentence meaningful and correct. If no change is needed, choose 'No interchange required'. Stellar (A) temperatures (B) are usually estimated from spectral (C) measurements (D).
- AA-B
- BB-C
- CA-C
- DB-D
- ENo interchange required
Answer: (E) No interchange required
The sentence is already correct: the temperatures of stars are estimated from measurements of their spectra. Any swap makes it meaningless.
Q23.In the sentence below, four words are marked (A), (B), (C) and (D). Some of them may be in the wrong places. Choose the option that shows which words should be interchanged to make the sentence meaningful and correct. If no change is needed, choose 'No interchange required'. Growing (A) pupils in involving (B) vegetables at school can spark (C) a lasting interest in healthy (D) food.
- AA-B
- BB-C
- CA-C and B-D
- DC-D
- ENo interchange required
Answer: (A) A-B
Interchanging Growing (A) and involving (B) gives: 'Involving pupils in growing vegetables at school can spark a lasting interest in healthy food.'
English - Sentence Connector (Q24–24)
Q24.Match the parts in Column I with those in Column II to form meaningful and grammatically correct sentences, and choose the option with all the correct pairs. Column I: (A) The new cyber-security policy requires every bank (B) Car makers are adding more fast-charging points along highways (C) Rising sea levels and erratic rainfall Column II: (D) so that electric-car owners can make long trips without worry. (E) to perform complex surgeries with very small cuts. (F) that are still beyond the reach of ordinary computers.
- ANone of these
- BA-F
- CB-D
- DA-E and B-F
- EA-F, B-D and C-E
Answer: (C) B-D
B-D gives: 'Car makers are adding more fast-charging points along highways so that electric-car owners can make long trips without worry.' A needs an infinitive such as 'to report attacks' and C needs a verb; neither E nor F completes them sensibly. So only B-D is correct.
English - Phrase Usage (Q25–25)
Q25.A phrase is given below with three sentences using it. Choose the sentence(s) in which the phrase is used correctly in meaning and grammar. DARK HORSE (I) Few people had heard of the shy debater, yet she emerged as the dark horse and won the trophy. (II) The young painter remained a dark horse until his first exhibition, after which critics hailed him. (III) Everyone expected the famous team to win easily, so the experts called it the dark horse of the league.
- AOnly (I)
- BOnly (II)
- CBoth (I) and (II)
- DAll of these
- EBoth (II) and (III)
Answer: (C) Both (I) and (II)
A dark horse is a little-known person or team who unexpectedly succeeds. (I) and (II) fit this. In (III) the team was the favourite, which is the opposite of a dark horse.
English - Error Spotting (Q26–30)
Q26.Read the sentence and find the part that contains a grammatical error. If there is no error, choose 'No error'. The minister promised (A)/ to improving rural roads (B)/ by allocating more funds (C)/ in the next budget. (D)
- AA
- BB
- CC
- DD
- ENo error
Answer: (B) B
Promise is followed by the to-infinitive: 'promised to improve'. 'To improving' is wrong, so the error is in part B.
Q27.Read the sentence and find the part that contains a grammatical error. If there is no error, choose 'No error'. On weekends he likes cycling to the market, (A)/ cooking for his family (B)/ and to read detective novels (C)/ in the garden. (D)
- AA
- BB
- CC
- DD
- ENo error
Answer: (C) C
Items in a list should be parallel: cycling, cooking and reading. 'To read' breaks the pattern, so the error is in part C.
Q28.Read the sentence and find the part that contains a grammatical error. If there is no error, choose 'No error'. A unexpected rise in river levels (A)/ forced the authorities (B)/ to move nearby villagers (C)/ to safer places. (D)
- AA
- BB
- CC
- DD
- ENo error
Answer: (A) A
'Unexpected' begins with a vowel sound, so the article should be 'an', not 'a'. The error is in part A.
Q29.Read the sentence and find the part that contains a grammatical error. If there is no error, choose 'No error'. Neither the manager nor his assistants (A)/ was informed about (B)/ the change in the schedule (C)/ until this morning. (D)
- AA
- BB
- CC
- DD
- ENo error
Answer: (B) B
With 'neither ... nor', the verb agrees with the nearer subject, 'assistants', which is plural. So 'were informed' is correct; the error is in part B.
Q30.Read the sentence and find the part that contains a grammatical error. If there is no error, choose 'No error'. The committee will announce (A)/ the results of the survey (B)/ after all the responses (C)/ have been checked. (D)
- AA
- BB
- CC
- DD
- ENo error
Answer: (E) No error
The sentence is correct: 'will announce' for the future and 'have been checked' (present perfect passive) in the time clause. No error.
Quantitative Aptitude - Quadratic Equations (Q31–34)
Q31.In the question, two equations I and II are given. Solve both and choose the correct relation between x and y. I. x² - 10x + 24 = 0 II. 5y² - 16y + 12 = 0
- Ax = y or no relation can be established
- Bx > y
- Cx < y
- Dx ≥ y
- Ex ≤ y
Answer: (B) x > y
From I, x = 4, 6. From II, y = 1.2, 2. Every value of x is greater than every value of y, so x > y.
Q32.In the question, two equations I and II are given. Solve both and choose the correct relation between x and y. I. 2x² - 9x + 10 = 0 II. y² - 12y + 35 = 0
- Ax = y or no relation can be established
- Bx > y
- Cx < y
- Dx ≥ y
- Ex ≤ y
Answer: (C) x < y
From I, x = 2, 2.5. From II, y = 5, 7. Every value of x is less than every value of y, so x < y.
Q33.In the question, two equations I and II are given. Solve both and choose the correct relation between x and y. I. 6x² - 7x + 2 = 0 II. 10y² - 11y + 3 = 0
- Ax = y or no relation can be established
- Bx > y
- Cx < y
- Dx ≥ y
- Ex ≤ y
Answer: (A) x = y or no relation can be established
From I, x = 0.5, 2/3. From II, y = 0.5, 0.6. x = 0.5 is less than y = 0.6, while x = 2/3 (about 0.667) is greater than both values of y, so no fixed relation holds.
Q34.In the question, two equations I and II are given. Solve both and choose the correct relation between x and y. I. 2x² + 19x + 42 = 0 II. 2y² + 7y + 5 = 0
- Ax = y or no relation can be established
- Bx > y
- Cx < y
- Dx ≥ y
- Ex ≤ y
Answer: (C) x < y
From I, x = -6, -3.5. From II, y = -2.5, -1. Every value of x is less than every value of y, so x < y.
Quantitative Aptitude - Approximation (Q35–38)
Q35.What approximate value should come in place of the question mark (?) in the following question? (You are not expected to find the exact value.) 779.83 ÷ 12.98 + 4.98 + 23.03 = ?% of 60.03
- A187
- B147
- C177
- D169
- E121
Answer: (B) 147
Round: 780 ÷ 13 + 5 + 23 = 60 + 28 = 88. So ?% of 60 = 88, giving ? = 88 x 100/60 = 146.7, about 147.
Q36.What approximate value should come in place of the question mark (?) in the following question? (You are not expected to find the exact value.) 39.98% of 249.99 + √196.04 = ?² + 50.07 (? is positive)
- A4
- B6
- C5
- D8
- E9
Answer: (D) 8
Round: 40% of 250 = 100 and √196 = 14, so 114 = ?² + 50. Then ?² = 64 and ? = 8.
Q37.What approximate value should come in place of the question mark (?) in the following question? (You are not expected to find the exact value.) (20.99)² - 24.97% of 220.02 - ? = 131.13
- A255
- B145
- C290
- D125
- E225
Answer: (A) 255
Round: 21² = 441 and 25% of 220 = 55. 441 - 55 - ? = 131, so ? = 255.
Q38.What approximate value should come in place of the question mark (?) in the following question? (You are not expected to find the exact value.) (24.21)² + 12.16 = ? × (49.99% of 55.98)
- A25
- B29
- C21
- D33
- E17
Answer: (C) 21
Round: 24² + 12 = 576 + 12 = 588, and 50% of 56 = 28. ? = 588 ÷ 28 = 21.
Quantitative Aptitude - Data Interpretation (Q39–55)
- Each of five bags A, B, C, D and E contains only red and blue balls. The table shows the difference between the numbers of red and blue balls in each bag and the percentage of red balls out of the total balls in that bag. Bag | Red minus blue | Red balls as % of total A | 60 | 62.5% B | 198 | 66.5% C | 188 | 70% D | 76 | 60% E | 330 | 72%
Q39.Express the red balls of bags A and E combined as a percentage of the blue balls of the same two bags.
- A230%
- B220%
- C260%
- D240%
- E280%
Answer: (A) 230%
In bag A, red = 62.5% and blue = 37.5%, so the difference is 25% of the total = 60, giving total 240, red 150, blue 90. In the same way: B total 600 (red 399, blue 201); C total 470 (red 329, blue 141); D total 380 (red 228, blue 152); E total 750 (red 540, blue 210). Red in A and E = 690, blue in A and E = 300. 690/300 x 100 = 230%.
Q40.The sum of the blue balls in B and the red balls in C is how many less than the red balls in E?
- A15
- B53
- C30
- D20
- E10
Answer: (E) 10
In bag A, red = 62.5% and blue = 37.5%, so the difference is 25% of the total = 60, giving total 240, red 150, blue 90. In the same way: B total 600 (red 399, blue 201); C total 470 (red 329, blue 141); D total 380 (red 228, blue 152); E total 750 (red 540, blue 210). Blue in B + red in C = 201 + 329 = 530. Red in E = 540. 540 - 530 = 10.
Q41.Find the ratio of the red balls of bags A and E combined to the blue balls of bag A.
- A21:22
- B23:3
- C23:11
- D18:19
- E23:10
Answer: (B) 23:3
In bag A, red = 62.5% and blue = 37.5%, so the difference is 25% of the total = 60, giving total 240, red 150, blue 90. In the same way: B total 600 (red 399, blue 201); C total 470 (red 329, blue 141); D total 380 (red 228, blue 152); E total 750 (red 540, blue 210). (150 + 540) : 90 = 690 : 90 = 23 : 3.
Q42.What is the average number of red balls in bags B, D and E?
- A353
- B355
- C389
- D386
- E350
Answer: (C) 389
In bag A, red = 62.5% and blue = 37.5%, so the difference is 25% of the total = 60, giving total 240, red 150, blue 90. In the same way: B total 600 (red 399, blue 201); C total 470 (red 329, blue 141); D total 380 (red 228, blue 152); E total 750 (red 540, blue 210). (399 + 228 + 540)/3 = 1167/3 = 389.
Q43.Bag F, which also has only red and blue balls, contains 25% more balls than the number of red balls in E. The ratio of red balls in A to blue balls in F is 2:1. How many red balls are in F?
- A630
- B680
- C685
- D600
- E620
Answer: (D) 600
In bag A, red = 62.5% and blue = 37.5%, so the difference is 25% of the total = 60, giving total 240, red 150, blue 90. In the same way: B total 600 (red 399, blue 201); C total 470 (red 329, blue 141); D total 380 (red 228, blue 152); E total 750 (red 540, blue 210). Balls in F = 125% of 540 = 675. Blue in F = 150/2 = 75. Red in F = 675 - 75 = 600.
Q44.20% of the balls in bag A are taken out and put into bag C. After this, bag C has 359 red balls. How many blue balls were taken out of bag A?
- A18
- B20
- C12
- D24
- E30
Answer: (A) 18
In bag A, red = 62.5% and blue = 37.5%, so the difference is 25% of the total = 60, giving total 240, red 150, blue 90. In the same way: B total 600 (red 399, blue 201); C total 470 (red 329, blue 141); D total 380 (red 228, blue 152); E total 750 (red 540, blue 210). Balls moved = 20% of 240 = 48. Red balls moved = 359 - 329 = 30. Blue balls moved = 48 - 30 = 18.
- A line graph shows, for five shops A, B, C, D and E, the number of TVs sold and the difference between the numbers of cell phones and TVs sold. In every shop more cell phones than TVs were sold. Items sold = cell phones + TVs. The values read from the graph are: Shop | TVs sold | Cell phones minus TVs A | 320 | 200 B | 600 | 280 C | 680 | 400 D | 760 | 520 E | 80 | 360
Q45.The total number of items sold by shop E is approximately what percentage less than the number of TVs sold by shop D?
- A36%
- B31%
- C31.25%
- D30%
- E31.58%
Answer: (E) 31.58%
Cell phones = TVs + difference: A 520, B 880, C 1080, D 1280, E 440. Items: A 840, B 1480, C 1760, D 2040, E 520. Items by E = 520, TVs by D = 760. (760 - 520)/760 x 100 = 31.58% less.
Q46.Shop F sold 20% more items than shop C, and the ratio of TVs to cell phones sold by F is 7:15. How many TVs did F sell?
- A620
- B670
- C666
- D672
- E685
Answer: (D) 672
Cell phones = TVs + difference: A 520, B 880, C 1080, D 1280, E 440. Items: A 840, B 1480, C 1760, D 2040, E 520. Items by F = 120% of 1760 = 2112. TVs = 7/22 x 2112 = 672.
Q47.What is the difference between the cell phones sold by C and E together and the total items sold by A?
- A600
- B660
- C680
- D620
- E685
Answer: (C) 680
Cell phones = TVs + difference: A 520, B 880, C 1080, D 1280, E 440. Items: A 840, B 1480, C 1760, D 2040, E 520. Cell phones by C and E = 1080 + 440 = 1520. Items by A = 840. 1520 - 840 = 680.
Q48.What is the ratio of TVs sold by D to cell phones sold by B?
- A19:11
- B19:22
- C10:19
- D19:10
- E18:19
Answer: (B) 19:22
Cell phones = TVs + difference: A 520, B 880, C 1080, D 1280, E 440. Items: A 840, B 1480, C 1760, D 2040, E 520. 760 : 880 = 19 : 22.
Q49.12.5% of the TVs sold by D are defective, and the total number of defective items (TVs and cell phones) sold by D is 280. How many defective cell phones did D sell?
- A185
- B186
- C120
- D100
- E180
Answer: (A) 185
Cell phones = TVs + difference: A 520, B 880, C 1080, D 1280, E 440. Items: A 840, B 1480, C 1760, D 2040, E 520. Defective TVs = 12.5% of 760 = 95. Defective cell phones = 280 - 95 = 185.
Q50.What is the average number of cell phones sold by shops B, C and E?
- A720
- B840
- C900
- D760
- E800
Answer: (E) 800
Cell phones = TVs + difference: A 520, B 880, C 1080, D 1280, E 440. Items: A 840, B 1480, C 1760, D 2040, E 520. (880 + 1080 + 440)/3 = 2400/3 = 800.
- Read the information and answer the questions. Three colleges A, B and C have staff of two kinds only: lab assistants and professors. In college A, the lab assistants and professors together number 82. The number of lab assistants in B is 4 more than in C. In C, the number of lab assistants is 6 less than the number of professors. The number of professors in A is 44 less than the number of lab assistants in B. The total staff in C is 24 more than in A, and the total number of professors in all three colleges is 102.
Q51.What is the total number of staff in college B?
- A70
- B90
- C80
- D65
- E60
Answer: (B) 90
Let lab assistants in C = x; professors in C = x + 6, so staff in C = 2x + 6 = 82 + 24 = 106 and x = 50. Lab assistants in B = 54, so professors in A = 54 - 44 = 10 and lab assistants in A = 72. Professors in B = 102 - 10 - 56 = 36, so staff in B = 54 + 36 = 90. Staff in B = 90.
Q52.What is the ratio of professors in B to lab assistants in A?
- A6:5
- B3:1
- C6:7
- D1:2
- E6:1
Answer: (D) 1:2
Let lab assistants in C = x; professors in C = x + 6, so staff in C = 2x + 6 = 82 + 24 = 106 and x = 50. Lab assistants in B = 54, so professors in A = 54 - 44 = 10 and lab assistants in A = 72. Professors in B = 102 - 10 - 56 = 36, so staff in B = 54 + 36 = 90. 36 : 72 = 1 : 2.
Q53.In another college D, the ratio of total staff to the lab assistants in A is 3:4, and D has 20 fewer lab assistants than C. How many professors does D have?
- A25
- B30
- C24
- D20
- E50
Answer: (C) 24
Let lab assistants in C = x; professors in C = x + 6, so staff in C = 2x + 6 = 82 + 24 = 106 and x = 50. Lab assistants in B = 54, so professors in A = 54 - 44 = 10 and lab assistants in A = 72. Professors in B = 102 - 10 - 56 = 36, so staff in B = 54 + 36 = 90. Staff in D = 3/4 x 72 = 54. Lab assistants in D = 50 - 20 = 30. Professors in D = 54 - 30 = 24.
Q54.The number of professors in A is approximately what percentage of the total staff in B?
- A12.5%
- B11.11%
- C30%
- D9.09%
- E25%
Answer: (B) 11.11%
Let lab assistants in C = x; professors in C = x + 6, so staff in C = 2x + 6 = 82 + 24 = 106 and x = 50. Lab assistants in B = 54, so professors in A = 54 - 44 = 10 and lab assistants in A = 72. Professors in B = 102 - 10 - 56 = 36, so staff in B = 54 + 36 = 90. 10/90 x 100 = 11.11%.
Q55.What is the average number of lab assistants in colleges A and C?
- A62
- B64
- C63
- D61
- E65
Answer: (D) 61
Let lab assistants in C = x; professors in C = x + 6, so staff in C = 2x + 6 = 82 + 24 = 106 and x = 50. Lab assistants in B = 54, so professors in A = 54 - 44 = 10 and lab assistants in A = 72. Professors in B = 102 - 10 - 56 = 36, so staff in B = 54 + 36 = 90. (72 + 50)/2 = 61.
Quantitative Aptitude - Arithmetic (Q56–65)
Q56.A boat goes X km downstream in 2 hours and covers the same distance upstream in 3 hours. If the speed of the stream is 3 km/h, find 2X.
- A84
- B90
- C60
- D36
- E72
Answer: (E) 72
Let the boat's speed in still water be b. 2(b + 3) = 3(b - 3), so b = 15 km/h. X = 2 x 18 = 36 km, so 2X = 72.
Q57.A and B start a business with Rs 6400 and Rs 7200. After 4 months, A withdraws 30% of his initial investment and C joins with 40% of B's initial investment. If the profit at the end of the year is Rs 90000, find the combined profit share of A and C (approximately, in Rs).
- A44494
- B48486
- C57640
- D47865
- E42486
Answer: (A) 44494
A: 6400 x 4 + 4480 x 8 = 61440. B: 7200 x 12 = 86400. C: 2880 x 8 = 23040. Total = 170880. Share of A and C = 84480/170880 x 90000 = Rs 44494 (approx.).
Q58.A jar contains 55 litres of a mixture of milk and water in the ratio 8:x. When 5 litres of milk and 30 litres of water are added, the ratio of milk to water becomes 1:1. Find x.
- A4
- B6
- C3
- D5
- E2
Answer: (C) 3
Let the parts be k, so 8k + xk = 55. After adding: 8k + 5 = xk + 30, so (8 - x)k = 25. Dividing: (8 + x)/(8 - x) = 55/25 = 11/5, so 40 + 5x = 88 - 11x, x = 3. (Check: milk 40, water 15; after adding 45 and 45.)
Q59.The length of a rectangular park is twice its breadth. A path 2 m wide runs all around the park on the outside, and the area of the path is 352 m². Find the length of the park (in metres).
- A112
- B64
- C56
- D28
- E48
Answer: (C) 56
Let breadth = b, length = 2b. Path area = (2b + 4)(b + 4) - 2b² = 12b + 16 = 352, so b = 28 and length = 56 m.
Q60.A train running at 72 km/h crosses a platform in 25 seconds. It crosses an athlete running at 18 km/h in the same direction in 10 seconds. Find the length of the platform (in metres).
- A500
- B400
- C150
- D450
- E350
Answer: (E) 350
Train speed = 20 m/s, athlete = 5 m/s. Train length = (20 - 5) x 10 = 150 m. Train + platform = 20 x 25 = 500 m, so platform = 350 m.
Q61.A shopkeeper sells an article for Rs 624 at a loss of 22%. If he marks the article 30% above its cost price and earns a profit of Rs 84 after a discount, what discount percentage did he allow?
- A20%
- B15%
- C5%
- D10%
- E7.5%
Answer: (B) 15%
CP = 624/0.78 = Rs 800. MP = 1040. SP = 800 + 84 = 884. Discount = 156/1040 x 100 = 15%.
Q62.Gopi invested Rs X in scheme A at 15% per annum simple interest for 2 years. He reinvested the whole amount received in scheme B at 10% per annum compound interest (compounded yearly) for 2 years. If the interest earned from A is Rs 32.40 more than the interest earned from B, find X.
- ARs 1200
- BRs 1800
- CRs 1000
- DRs 800
- ERs 1500
Answer: (A) Rs 1200
Interest from A = 0.30X; amount = 1.30X. Interest from B = 1.30X x (1.1² - 1) = 0.273X. Difference = 0.30X - 0.273X = 0.027X = 32.40, so X = 1200.
Q63.7 men and 15 women can finish a piece of work in 15 days, while 18 men and 20 women can finish it in 8 days. If X men and 20 women can finish it in 10 days, find X.
- A20
- B24
- C16
- D12
- E18
Answer: (D) 12
(7m + 15w) x 15 = (18m + 20w) x 8 gives 39m = 65w, so m : w = 5 : 3. Taking m = 5, w = 3, work = 80 x 15 = 1200 units. (5X + 60) x 10 = 1200, so X = 12.
Q64.The average of four consecutive multiples of 4 is 30. Another set has five consecutive even numbers, the smallest of which equals the second smallest of the four multiples. Find the largest number of the second set.
- A34
- B38
- C30
- D36
- E32
Answer: (D) 36
The multiples are 24, 28, 32, 36 (average 30). The second smallest is 28, so the even numbers are 28, 30, 32, 34, 36. The largest is 36.
Q65.The sums of the present ages of P and Q, and of R and Q, are 64 years and 56 years respectively. R will be 32 years old after 12 years. The ratio of P's age after 12 years to Q's age 6 years ago is 4:X. Find X.
- A5
- B7
- C3
- D9
- E1
Answer: (C) 3
R = 32 - 12 = 20, Q = 56 - 20 = 36, P = 64 - 36 = 28. (28 + 12) : (36 - 6) = 40 : 30 = 4 : 3, so X = 3.
Reasoning - Seating Arrangement (Q66–68)
- An unknown number of people are seated in a single row, all facing north. A and B have exactly three people between them. B is second to the left of C. C is fifth to the right of D. E and D have exactly two people between them. F sits at the extreme left end. The count of people between D and C exceeds the count between D and F by one. A is placed relative to F exactly as C is placed relative to G (same side, same distance). The number of people to the right of C equals the number to the left of F.
Q66.How many persons sit between E and G?
- AOne
- BTwo
- CThree
- DFour
- EMore than four
Answer: (D) Four
F is at the left end, so no one is to the left of F; then no one is to the right of C, so C is at the right end. D is fifth to the left of C, so four persons sit between D and C; hence three sit between D and F, and D is 5th from the left. C is then 10th, at the right end, so there are 10 persons. B is second to the left of C (8th), A is four places from B (4th, since 12th does not exist), E is three places from D (2nd, as 8th is B). A is 3rd to the right of F, so G is 3rd to the left of C (7th). Order from left: F, E, _, A, D, _, G, B, _, C. E is 2nd and G is 7th, so four persons sit between them.
Q67.Who sits third to the left of G?
- AC
- BA
- CE
- DB
- ED
Answer: (B) A
F is at the left end, so no one is to the left of F; then no one is to the right of C, so C is at the right end. D is fifth to the left of C, so four persons sit between D and C; hence three sit between D and F, and D is 5th from the left. C is then 10th, at the right end, so there are 10 persons. B is second to the left of C (8th), A is four places from B (4th, since 12th does not exist), E is three places from D (2nd, as 8th is B). A is 3rd to the right of F, so G is 3rd to the left of C (7th). Order from left: F, E, _, A, D, _, G, B, _, C. Third to the left of G (7th) is the 4th position, A.
Q68.How many persons sit in the row?
- A9
- B13
- C11
- D12
- E10
Answer: (E) 10
F is at the left end, so no one is to the left of F; then no one is to the right of C, so C is at the right end. D is fifth to the left of C, so four persons sit between D and C; hence three sit between D and F, and D is 5th from the left. C is then 10th, at the right end, so there are 10 persons. B is second to the left of C (8th), A is four places from B (4th, since 12th does not exist), E is three places from D (2nd, as 8th is B). A is 3rd to the right of F, so G is 3rd to the left of C (7th). Order from left: F, E, _, A, D, _, G, B, _, C. There are 10 persons.
Reasoning - Word Formation (Q69–69)
Q69.Using the 7th, 10th, 11th and 12th letters from the left of the word FERMENTATION, how many meaningful English words can be formed, using each letter once? If no word can be formed, mark @; if more than three words can be formed, mark #.
- A1
- B2
- C3
- D#
- E@
Answer: (A) 1
F E R M E N T A T I O N: the 7th letter is T, 10th I, 11th O and 12th N. The only meaningful word from T, I, O, N is INTO, so the answer is 1.
Reasoning - Number Pair (Q70–70)
Q70.How many pairs of digits are there in the number 73915243 that have as many digits between them in the number as there are between them in the number series (counting both forward and backward)?
- ANone
- BTwo
- CThree
- DMore than three
- EOne
Answer: (D) More than three
Qualifying pairs: 7 and 9 (one digit between in both), 7 and 2 (four between in both), 3 and 1 (one between), 1 and 4 (two between), 4 and 3 (adjacent, the last two digits). That is five pairs, which is more than three.
Reasoning - Blood Relation (Q71–73)
- Eight persons A, B, C, D, E, F, G and H belong to a three-generation family. There are exactly three married couples, every married person's spouse is in the family, and every child in the family has both parents in the family. B and D are a married couple, and B is A's grandfather. B has no daughters. G is D's daughter-in-law and C's sister-in-law. C is married. H is A's aunt. E, who has no children, is F's brother. C and A are of opposite genders.
Q71.How is G related to E?
- AWife
- BSister
- CSister-in-law
- DMother
- ECan't be determined
Answer: (C) Sister-in-law
Every child's parents are in the family, and the only couple who can be parents of the brothers E and F is B and D, so E and F are both sons of B and D (B has no daughter). A's father must be a son of B, and A's mother his wife. E has no child. If C were A's father, his wife would have to be A's mother, but G is C's sister-in-law and H is A's aunt, so neither can be C's wife and mother of A. So F is A's father. F's wife cannot be H (H is A's aunt), so F is married to G, who is D's daughter-in-law. The third couple must include C; C cannot marry E, because then H would be unmarried and could be A's aunt only as a sister of A's parents, which is impossible (B has no daughter, and G's parents are not in the family). So C is married to H. Since H is female, C is male and A is female. G being C's sister-in-law makes C a son of B. So B and D have sons C, E and F; C is married to H, F to G, and A is the daughter of F and G. G is the wife of E's brother F, so G is E's sister-in-law.
Q72.How many male members are there in the family?
- AFour
- BTwo
- CSix
- DThree
- EFive
Answer: (A) Four
Every child's parents are in the family, and the only couple who can be parents of the brothers E and F is B and D, so E and F are both sons of B and D (B has no daughter). A's father must be a son of B, and A's mother his wife. E has no child. If C were A's father, his wife would have to be A's mother, but G is C's sister-in-law and H is A's aunt, so neither can be C's wife and mother of A. So F is A's father. F's wife cannot be H (H is A's aunt), so F is married to G, who is D's daughter-in-law. The third couple must include C; C cannot marry E, because then H would be unmarried and could be A's aunt only as a sister of A's parents, which is impossible (B has no daughter, and G's parents are not in the family). So C is married to H. Since H is female, C is male and A is female. G being C's sister-in-law makes C a son of B. So B and D have sons C, E and F; C is married to H, F to G, and A is the daughter of F and G. Males: B, C, E and F, so four.
Q73.Who is the mother of E?
- AH
- BA
- CD
- DG
- ECan't be determined
Answer: (C) D
Every child's parents are in the family, and the only couple who can be parents of the brothers E and F is B and D, so E and F are both sons of B and D (B has no daughter). A's father must be a son of B, and A's mother his wife. E has no child. If C were A's father, his wife would have to be A's mother, but G is C's sister-in-law and H is A's aunt, so neither can be C's wife and mother of A. So F is A's father. F's wife cannot be H (H is A's aunt), so F is married to G, who is D's daughter-in-law. The third couple must include C; C cannot marry E, because then H would be unmarried and could be A's aunt only as a sister of A's parents, which is impossible (B has no daughter, and G's parents are not in the family). So C is married to H. Since H is female, C is male and A is female. G being C's sister-in-law makes C a son of B. So B and D have sons C, E and F; C is married to H, F to G, and A is the daughter of F and G. E is a son of B and D, so D is his mother.
Reasoning - Inequality (Q74–76)
Q74.In the question, assume the given statements to be true and decide which of the two conclusions follows. Statements: O > S = G ≤ R ≥ K; L ≤ R = P; T < J = P Conclusions: I. S < L II. J ≥ G
- AOnly conclusion I follows
- BOnly conclusion II follows
- CEither conclusion I or II follows
- DBoth conclusions I and II follow
- ENeither conclusion I nor II follows
Answer: (B) Only conclusion II follows
J = P = R ≥ G, so J ≥ G and II follows. S = G ≤ R and L ≤ R give no relation between S and L, so I does not follow.
Q75.In the question, assume the given statements to be true and decide which of the two conclusions follows. Statements: Q ≤ M > D > E = T; F = G ≥ H < C < T ≥ A Conclusions: I. A < M II. F > Q
- AOnly conclusion I follows
- BOnly conclusion II follows
- CEither conclusion I or II follows
- DBoth conclusions I and II follow
- ENeither conclusion I nor II follows
Answer: (A) Only conclusion I follows
M > D > E = T ≥ A, so A < M and I follows. F is linked to the rest only through H < C < T, and Q only through M, so the relation between F and Q is unknown; II does not follow.
Q76.In the question, assume the given statements to be true and decide which of the two conclusions follows. Statements: Z = X < Y > O ≤ W; P ≥ Q = R < S > W Conclusions: I. X > R II. Z ≤ Q
- AOnly conclusion I follows
- BOnly conclusion II follows
- CEither conclusion I or II follows
- DBoth conclusions I and II follow
- ENeither conclusion I nor II follows
Answer: (C) Either conclusion I or II follows
X and R (and so Z and Q) are not connected by a definite relation, so neither conclusion follows on its own. But Z = X and Q = R, so II says X ≤ R; I (X > R) and II (X ≤ R) together cover every case and exactly one must be true. Hence either I or II follows.
Reasoning - Puzzle (Q77–86)
- Six people A, B, C, D, E and F have their birthdays on six different dates of one year: the 9th and the 26th of April, July and September, one person per date. Each has a different favourite colour among Red, Blue, Pink, Green, White and Yellow. There are exactly two birthdays between F's and the Red-lover's. D's birthday is on the 9th of a 30-day month, and F's birthday comes right after D's. C's birthday comes two places after the Pink-lover's (one birthday in between). E, whose birthday falls on a 26th, comes right before C. The Pink-lover and the Blue-lover have exactly two birthdays between them. A comes two places after the Yellow-lover (one birthday in between), and A comes earlier than the Green-lover. E's favourite colour is not Yellow.
Q77.Who was born on 9th July?
- AF
- BC
- CThe one who likes Pink
- DD
- EThe one who likes Green
Answer: (C) The one who likes Pink
Final arrangement: 9 April D (Yellow), 26 April F (White), 9 July A (Pink), 26 July E (Green), 9 September C (Red), 26 September B (Blue). A, who likes Pink, was born on 9th July.
Q78.Which of the following combinations is correct?
- AB - Green - 26th September
- BC - Red - 26th July
- CE - Green - 26th April
- DD - Yellow - 9th September
- EF - White - 26th April
Answer: (E) F - White - 26th April
Final arrangement: 9 April D (Yellow), 26 April F (White), 9 July A (Pink), 26 July E (Green), 9 September C (Red), 26 September B (Blue). Only F - White - 26th April matches.
Q79.How many persons were born between F and the one who likes Blue?
- ATwo
- BFour
- CNone
- DThree
- EOne
Answer: (D) Three
Final arrangement: 9 April D (Yellow), 26 April F (White), 9 July A (Pink), 26 July E (Green), 9 September C (Red), 26 September B (Blue). F (26 April) and B, the Blue-liker (26 September): A, E and C are between them, so three.
Q80.Who likes White?
- AB
- BF
- CC
- DE
- EA
Answer: (B) F
Final arrangement: 9 April D (Yellow), 26 April F (White), 9 July A (Pink), 26 July E (Green), 9 September C (Red), 26 September B (Blue). F likes White.
Q81.Which of the following statements is/are incorrect? I. C was born before D. II. No one was born between F and the one who likes Pink. III. E was born in a month with 31 days and likes Green.
- ABoth II and III
- BOnly I
- CBoth I and III
- DOnly III
- EAll I, II and III
Answer: (B) Only I
Final arrangement: 9 April D (Yellow), 26 April F (White), 9 July A (Pink), 26 July E (Green), 9 September C (Red), 26 September B (Blue). I is incorrect (D was born first). II is correct (F on 26 April, Pink-liker A on 9 July, with no one between). III is correct (July has 31 days and E likes Green). So only I is incorrect.
- Six people A, B, C, D, E and F each bought one of six cars (Sedan, SUV, Hatchback, Limousine, Coupe and Convertible), one person at a time in some order. The Sedan was bought three turns before F's purchase (two buyers in between). The number of buyers before F equals the number of buyers after the Hatchback buyer. The Hatchback and SUV buyers have exactly two buyers between them. E bought just before A and earlier than the SUV buyer. The Coupe was bought two turns after A (one buyer in between) and just before the Convertible. The Convertible buyer came after D and before B.
Q82.Who bought the Limousine?
- AA
- BD
- CB
- DC
- EE
Answer: (A) A
Final order of buying: 1st E (Sedan), 2nd A (Limousine), 3rd D (Hatchback), 4th F (Coupe), 5th C (Convertible), 6th B (SUV). A bought the Limousine.
Q83.Who bought a car three turns after the person who bought immediately before D?
- AC
- BB
- CF
- DE
- EA
Answer: (A) C
Final order of buying: 1st E (Sedan), 2nd A (Limousine), 3rd D (Hatchback), 4th F (Coupe), 5th C (Convertible), 6th B (SUV). The person just before D is A (2nd); three turns later is the 5th buyer, C.
Q84.A is related to the Hatchback and E is related to the Limousine in a certain way based on the order of buying. In the same way, C is related to which car?
- ASedan
- BSUV
- CHatchback
- DConvertible
- ECoupe
Answer: (B) SUV
Final order of buying: 1st E (Sedan), 2nd A (Limousine), 3rd D (Hatchback), 4th F (Coupe), 5th C (Convertible), 6th B (SUV). Each person is related to the car bought immediately after his own turn: A (2nd) to the Hatchback (3rd), E (1st) to the Limousine (2nd). C (5th) relates to the SUV (6th).
Q85.The number of persons who bought between E and the Hatchback buyer is one more than the number of persons who bought after the buyer of which car?
- ALimousine
- BCoupe
- CSUV
- DConvertible
- ESedan
Answer: (C) SUV
Final order of buying: 1st E (Sedan), 2nd A (Limousine), 3rd D (Hatchback), 4th F (Coupe), 5th C (Convertible), 6th B (SUV). Between E (1st) and the Hatchback buyer (3rd) there is one person. One more than the count after X means zero persons after X, so X is the last car bought, the SUV.
Q86.Who bought the Sedan?
- AC
- BD
- CA
- DE
- EF
Answer: (D) E
Final order of buying: 1st E (Sedan), 2nd A (Limousine), 3rd D (Hatchback), 4th F (Coupe), 5th C (Convertible), 6th B (SUV). E bought the Sedan.
Reasoning - Syllogism (Q87–89)
Q87.In the question, some statements are followed by two conclusions. Take the statements to be true even if they seem to differ from known facts, and decide which conclusion(s) logically follow. Statements: Only a few clubs are courts. Some courts are allowances. No allowance is revenue. Conclusions: I. Some clubs being allowances is a possibility. II. Some courts are not revenue.
- 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: (E) Both conclusions I and II follow
I: nothing prevents clubs from overlapping allowances, so the possibility holds. II: the courts that are allowances can never be revenue (no allowance is revenue), so some courts are definitely not revenue. Both follow.
Q88.In the question, some statements are followed by two conclusions. Take the statements to be true even if they seem to differ from known facts, and decide which conclusion(s) logically follow. Statements: Only a few editions are investors. All investors are verdicts. No verdict is an affect. Conclusions: I. No edition is an affect. II. All investors being affects is a possibility.
- 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
I: editions that are not investors may or may not be affects, so I is not certain. II: all investors are verdicts and no verdict is an affect, so no investor can be an affect; the possibility is ruled out. Neither follows.
Q89.In the question, some statements are followed by two conclusions. Take the statements to be true even if they seem to differ from known facts, and decide which conclusion(s) logically follow. Statements: All skippers are wins. Some wins are players. Only a few players are hears. Conclusions: I. All skippers being hears is a possibility. II. No win is a hear.
- 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
I: nothing stops all skippers from also being hears, so the possibility holds. II: some players are hears, and those players may be wins, so 'No win is a hear' is not certain. Only I follows.
Reasoning - Odd One Out (Q90–90)
Q90.Four of the following five letter groups are alike in a certain way and form a group. Which one does not belong?
- AEGHK
- BACDG
- CLNOR
- DJLMP
- EQSTU
Answer: (E) QSTU
JLMP, ACDG, EGHK and LNOR each follow +2, +1, +3 (for example J10 L12 M13 P16). QSTU is Q17 S19 T20 U21, which is +2, +1, +1, so it is the odd one.
Reasoning - Puzzle (Q91–95)
- Seven people A, B, C, D, E, F and G share the same birthday (day and month) but were born in seven different years: 1947, 1959, 1964, 1973, 1978, 1988 and 2001. Take ages as on that birthday in 2025. D's age equals C's age plus F's age. G's age is a multiple of 6. A's age plus G's age is a prime number. Among the given years, A was born in the year just before F's year (A is just older than F). A's age plus B's age is a multiple of 5.
Q91.Who was born in 1973?
- AC
- BG
- CB
- DA
- EE
Answer: (E) E
Ages: 1947 - 78, 1959 - 66, 1964 - 61, 1973 - 52, 1978 - 47, 1988 - 37, 2001 - 24. The only pair summing to another age is 24 + 37 = 61, so C and F are 24 and 37 and D is 61. A is just older than F, so F cannot be 24 (then A would be 37); F = 37 and A = 47, C = 24. G is 66 or 78; A + G is prime only for 47 + 66 = 113, so G = 66. B + 47 must be divisible by 5, so B = 78. E = 52. Final: B 1947, G 1959, D 1964, E 1973, A 1978, F 1988, C 2001. E was born in 1973.
Q92.How many persons were born between A and B?
- AMore than four
- BThree
- CFour
- DOne
- ETwo
Answer: (B) Three
Ages: 1947 - 78, 1959 - 66, 1964 - 61, 1973 - 52, 1978 - 47, 1988 - 37, 2001 - 24. The only pair summing to another age is 24 + 37 = 61, so C and F are 24 and 37 and D is 61. A is just older than F, so F cannot be 24 (then A would be 37); F = 37 and A = 47, C = 24. G is 66 or 78; A + G is prime only for 47 + 66 = 113, so G = 66. B + 47 must be divisible by 5, so B = 78. E = 52. Final: B 1947, G 1959, D 1964, E 1973, A 1978, F 1988, C 2001. Between B (1947) and A (1978): G, D and E, so three.
Q93.What is the difference between the ages of C and D?
- A37 years
- B38 years
- C12 years
- D24 years
- E10 years
Answer: (A) 37 years
Ages: 1947 - 78, 1959 - 66, 1964 - 61, 1973 - 52, 1978 - 47, 1988 - 37, 2001 - 24. The only pair summing to another age is 24 + 37 = 61, so C and F are 24 and 37 and D is 61. A is just older than F, so F cannot be 24 (then A would be 37); F = 37 and A = 47, C = 24. G is 66 or 78; A + G is prime only for 47 + 66 = 113, so G = 66. B + 47 must be divisible by 5, so B = 78. E = 52. Final: B 1947, G 1959, D 1964, E 1973, A 1978, F 1988, C 2001. D is 61 and C is 24, so the difference is 37 years.
Q94.Who is the oldest?
- AE
- BG
- CD
- DB
- EA
Answer: (D) B
Ages: 1947 - 78, 1959 - 66, 1964 - 61, 1973 - 52, 1978 - 47, 1988 - 37, 2001 - 24. The only pair summing to another age is 24 + 37 = 61, so C and F are 24 and 37 and D is 61. A is just older than F, so F cannot be 24 (then A would be 37); F = 37 and A = 47, C = 24. G is 66 or 78; A + G is prime only for 47 + 66 = 113, so G = 66. B + 47 must be divisible by 5, so B = 78. E = 52. Final: B 1947, G 1959, D 1964, E 1973, A 1978, F 1988, C 2001. B, born in 1947, is the oldest.
Q95.What is G's age?
- A24 years
- B52 years
- C66 years
- D47 years
- E37 years
Answer: (C) 66 years
Ages: 1947 - 78, 1959 - 66, 1964 - 61, 1973 - 52, 1978 - 47, 1988 - 37, 2001 - 24. The only pair summing to another age is 24 + 37 = 61, so C and F are 24 and 37 and D is 61. A is just older than F, so F cannot be 24 (then A would be 37); F = 37 and A = 47, C = 24. G is 66 or 78; A + G is prime only for 47 + 66 = 113, so G = 66. B + 47 must be divisible by 5, so B = 78. E = 52. Final: B 1947, G 1959, D 1964, E 1973, A 1978, F 1988, C 2001. G was born in 1959, so G is 66.
Reasoning - Seating Arrangement (Q96–100)
- Two rows of seven seats face each other, so that each person faces exactly one person in the other row. Row 1 holds A, B, C, D, E, F and G, all facing north; Row 2 holds P, Q, R, S, T, U and V, all facing south. The order within each row is not as listed. D sits at an end of Row 1, and E is the only person next to D. B is second to the left of G. Q is two seats away from whoever faces E. U faces the person third to the right of C. There are as many people to Q's right as there are to G's left. R and V have exactly one person between them, and neither of them is at an end. S is somewhere to the right of T and is not at an end. A faces the person second to the right of R.
Q96.Who faces R?
- AB
- BD
- CC
- DA
- EG
Answer: (C) C
Final arrangement, written from west to east. Row 1 (facing north): A, B, C, G, F, E, D. Row 2 (facing south): P, S, R, Q, V, U, T. So A faces P, B faces S, C faces R, G faces Q, F faces V, E faces U and D faces T. (For Row 1 the right is east; for Row 2, facing south, the right is west.) C faces R.
Q97.Which of the following statements is true?
- AA sits at an end of Row 1
- BExactly two persons sit between B and E
- CT faces F
- DU faces G
- EQ sits at an end of Row 2
Answer: (A) A sits at an end of Row 1
Final arrangement, written from west to east. Row 1 (facing north): A, B, C, G, F, E, D. Row 2 (facing south): P, S, R, Q, V, U, T. So A faces P, B faces S, C faces R, G faces Q, F faces V, E faces U and D faces T. (For Row 1 the right is east; for Row 2, facing south, the right is west.) A is at the west end of Row 1. U faces E, Q is fourth in Row 2, T faces D and three persons (C, G, F) sit between B and E.
Q98.Four of the following five pairs are alike in a certain way based on the arrangement. Which pair does not belong to the group?
- AB - S
- BA - P
- CG - Q
- DF - U
- EC - R
Answer: (D) F - U
Final arrangement, written from west to east. Row 1 (facing north): A, B, C, G, F, E, D. Row 2 (facing south): P, S, R, Q, V, U, T. So A faces P, B faces S, C faces R, G faces Q, F faces V, E faces U and D faces T. (For Row 1 the right is east; for Row 2, facing south, the right is west.) A-P, B-S, C-R and G-Q face each other. F faces V, not U, so F - U is the odd pair.
Q99.How many persons sit to the left of the person who faces S?
- AMore than four
- BTwo
- CThree
- DFour
- EOne
Answer: (E) One
Final arrangement, written from west to east. Row 1 (facing north): A, B, C, G, F, E, D. Row 2 (facing south): P, S, R, Q, V, U, T. So A faces P, B faces S, C faces R, G faces Q, F faces V, E faces U and D faces T. (For Row 1 the right is east; for Row 2, facing south, the right is west.) B faces S. B faces north, so B's left is west, where only A sits.
Q100.Who sits second to the right of the person who faces F?
- AT
- BR
- CV
- DQ
- ES
Answer: (B) R
Final arrangement, written from west to east. Row 1 (facing north): A, B, C, G, F, E, D. Row 2 (facing south): P, S, R, Q, V, U, T. So A faces P, B faces S, C faces R, G faces Q, F faces V, E faces U and D faces T. (For Row 1 the right is east; for Row 2, facing south, the right is west.) V faces F. V faces south, so V's right is west: Q, then R. R is second to the right of V.
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