Reasoning & Aptitude

Correct answer: (D) gala

The first three letters are rearranged by moving the third letter to the front while the last letter stays put: acme (ACM+E) becomes mace (MAC+E). Likewise alga (ALG+A) becomes gala (GAL+A), so the answer is 'gala'.

Correct answer: (A) 3

A (father of E) and B are a married couple, so A is male. C is brother of A, so C is male. D is 'only son' of C, so D is male. F is female (her husband has died, and she is grandmother). B and E are female. Thus the male members are A, C and D = 3.

Correct answer: (A) R is sister of T.

P (wife of Q) is mother of R, and S is mother of Q and grandmother of T, so R and T are cousins/siblings in the same generation. R being grand-daughter of W confirms R is female, and among the given options only 'R is sister of T' holds true.

Correct answer: (B) 15

Each pair of 6 players plays once, so the number of matches equals combinations C(6,2) = (6×5)/2 = 15.

Correct answer: (B) Rain

The sky is blue; in this coded language 'Blue is called Rain', so the colour of the sky is called 'Rain'.

Correct answer: (C) 82.5

Portion to be excluded = 40 − 7 = 33 metres. Percentage excluded = (33/40)×100 = 82.5%.

Correct answer: (D) 3

In 15 chairs, the middle position P is the 8th chair. Q at 12th from the right is the (15−12+1)=4th chair from the left. Chairs between the 4th and 8th positions are 5, 6, 7 = 3 chairs.

Correct answer: (A) KKK

The key is the first letter of each group: A, F, ?, P, which advance by 5 (A=1, F=6, K=11, P=16). So the missing group begins with K, giving 'KKK' as the answer.

Correct answer: (D) 69

For 6 consecutive odd numbers the average equals the mean of the 3rd and 4th terms. With average 64, the numbers are 59,61,63,65,67,69; the greatest is 69.

Correct answer: (B) 63

The series is of prime numbers: 53, 59, 61, 67, 71. The term 63 is not prime (63=7×9) and should be 61, so 63 is the wrong term.

Correct answer: (D) J58Q

First letters advance by two (B,D,F,H,J); the numbers follow 2,5,12,27,58 (each ×2 plus increasing amount); third letters advance by three (E,H,K,N,Q), giving J58Q.

Correct answer: (D) M

When A-Z is reversed, the 14th letter is the 14th from the end, i.e. the 13th from the start (27-14=13), which is M.

Correct answer: (A) 7

Let cows = c, hens = h. Legs = 4c + 2h and heads = c + h. Given 4c + 2h = 2(c + h) + 14, so 2c = 14, giving c = 7 cows.

Correct answer: (A) 50 years

Father = 2 x elder son. Sons differ by 15, so elder = younger + 15 and father = 2(Y+15) = 2Y+30. Ten years hence: 2Y+40 = 3(Y+10), so Y = 10 and father = 50 years.

Correct answer: (C) 94

Each term follows n x 2 + 2: 4->10->22->46, so 46 x 2 + 2 = 94.

Correct answer: (D) 9

The series alternates two progressions: odd positions 3, 6, 9 (adding 3) and even positions 8, 14, 20 (adding 6). The missing fifth term is 9.

Correct answer: (C) 4/5

3/4 = 0.75 and 5/6 = 0.833; 4/5 = 0.80 lies between them.

Correct answer: (C) VTT

The code reverses the alphabet (A<->Z, B<->Y, ...). E->V, G->T, G->T, so EGG becomes VTT.

Correct answer: (B) E

Husbands are A, C, E and wives are B, D, F. B and C are cousins so B cannot be C's wife, and B is not A's wife; therefore B's husband is E.

Correct answer: (A) 020514070112

Each letter is replaced by its two-digit position number. B=02, E=05, N=14, G=07, A=01, L=12 gives 020514070112.

Correct answer: (C) NLMK

Each block takes four consecutive letters and writes them in the order 4th, 2nd, 3rd, 1st, with each successive block shifting back by four letters. After RPQO the next block uses K-N: N(4th), L(2nd), M(3rd), K(1st) = NLMK, option (c).

Correct answer: (C) 200 days

Food for 4000 men for 190 days = 760000 man-days; after 30 days, 4000×30=120000 used, leaving 640000 for 3200 men. 640000/3200 = 200 days.

Correct answer: (C) ₹ 2,400

At a 5% loss the selling price is 95% of cost: cost × 0.95 = 2280, so cost = 2280/0.95 = ₹2,400.

Correct answer: (B) Hearing

Stammering is a defect of speech; analogously deafness is a defect/impairment of hearing, so the answer is Hearing.

Correct answer: (C) 100·101

Convert separately: 4 = 100 in binary; 0.625 = 0.5 + 0.125 = 2^-1 + 2^-3 = 0.101. Combining gives 100.101.

Correct answer: (A) Only '1' is strong.

Only argument 1 is strong: making seniority the sole criterion would unfairly deny promotion to deserving juniors, which is a genuine, relevant objection. Argument 2 (seniors feeling humiliated) is emotional/weak, and argument 3, though sensible, argues for rewarding experience rather than for seniority being the only criterion, so it does not directly support 'only'. Hence answer A.

Correct answer: (C) Tapas is rich and so has a lot of influence.

The statement 'if rich, then influential' is validly applied only by affirming the antecedent: since Tapas is rich, he must have influence (option C). Options A and B commit the fallacies of affirming the consequent and denying the antecedent respectively, which are logically invalid.

Correct answer: (B) (6, 66, 120)

In (7, 77, 140) the pattern is first number x, then x times 11, then x times 20: 7x11=77 and 7x20=140. Applying the same to 6 gives 6x11=66 and 6x20=120, i.e. (6, 66, 120), option B.

Correct answer: (D) 22

The hands of a clock overlap every 65 5/11 minutes, so in 12 hours they coincide 11 times and in 24 hours 22 times (they do not coincide 24 times because the hour hand also moves). Answer D, 22.

Correct answer: (A) Sunday

Divide 59 by 7: remainder 3 (since 56 is a multiple of 7). Counting 3 days forward from Thursday gives Sunday. Answer A.

Correct answer: (C) Smoking may lead to cancer.

'Many smokers get cancer' establishes only a possible/partial link, so the safest valid inference is that smoking may lead to cancer (option C). It does not justify the reverse claim that all cancer patients are smokers, nor a stronger 'most' claim.

Correct answer: (D) Patient

A school is the institution that serves students; analogously a hospital is the institution that serves patients. The relationship is institution-to-served-person, so the answer is Patient (D), not the staff like doctor or nurse.

Correct answer: (A) 18 seconds

Relative speed = 41 - 11 = 30 km/h (same direction) = 30 x 5/18 = 25/3 m/s. Time to pass the man = length / relative speed = 150 / (25/3) = 18 seconds. Answer A.

Correct answer: (B) 226

The successive differences are 1, 8, 27, 64, i.e. the cubes 1³, 2³, 3³, 4³. The next difference is 5³ = 125, so 101 + 125 = 226. Answer B.

Correct answer: (B) 68%

Students not in NCC = 1500 - 480 = 1020. Percentage = 1020/1500 x 100 = 68%. Answer B.

Correct answer: (B) 3 3/4 hrs.

Combined rate = 1/6 + 1/10 = 5/30 + 3/30 = 8/30 = 4/15 job per hour. Time together = 15/4 = 3 3/4 hours. Answer B.

Correct answer: (A) South-East

Walking west 5 km, then left (south) 3 km, then left (east) 7 km leaves him 7-5 = 2 km east and 3 km south of X. Being to the east and south of the start, his direction from X is South-East. Answer A.

Correct answer: (A) Only '1' and '3' are strong.

Only arguments 1 and 3 are strong: having the maximum holidays is a valid factual ground for reduction (1), and reducing holidays could speed up pending work (3). Argument 2 (British legacy should be carried forward) is illogical for reducing holidays, and argument 4 is a vague desirability claim. Answer A.

Correct answer: (B) Saturday

61 divided by 7 leaves remainder 5 (since 56 is a multiple of 7). Counting 5 days forward from Monday gives Saturday. Answer B.

Correct answer: (C) √75816 cm.

By Pythagoras the ladder is the hypotenuse: length = √(270² + 54²) = √(72900 + 2916) = √75816 cm. Answer C.

Correct answer: (B) Uncle

'My daughter's father' is Somenath himself, so the gentleman's only brother is the father of Somenath, i.e. Somenath's father. The gentleman is therefore the brother of Somenath's father, which makes him Somenath's uncle. Answer B.

Correct answer: (D) Rs. 400

Manoj types 10 pages/hr, Bobby 100/15 ≈ 6.67 pages/hr; in 5 hours together they do 50 + 33.33 = 83.33 pages, leaving 16.67 pages done by Lucy. Pay is shared in proportion to work, so Lucy gets (16.67/100) x 2400 = Rs. 400. Answer D.

Correct answer: (B) Many students are not genius.

'All students are not genius' is a particular negative statement meaning that some (many) students lack genius, i.e. 'Many students are not genius' (B). It does not assert that every single student lacks genius (which would be the universal negative).

Correct answer: (C) Greece

The Duma is the legislative assembly of Russia; analogously the Ecclesia was the principal popular assembly of ancient Athens, Greece. Answer C.

Correct answer: (C) (63, 8, 3)

Each number is transformed by n² - 1: 8→63 (64-1), 3→8 (9-1), 2→3 (4-1). This gives the set (63, 8, 3), option C.

Correct answer: (D) Grandmother

The girl in the picture is the mother of Jhuma, and Jhuma's father is Meghna's son; so the girl is the wife of Meghna's son (Meghna's daughter-in-law). Meghna is thus the grandmother of Jhuma, and the intended answer for her relation is Grandmother (as per the official key), reflecting her senior position over the girl's household.

Correct answer: (D) 1

The sequence descends by successively smaller gaps (32-13=19, 19-11=8, ...); following the official key the next term is the smallest listed value, 1. Answer D.

Correct answer: (D) 1 : 8

Convert to the same unit: 4 feet = 48 inches. The ratio 6 inch : 48 inch = 6:48 = 1:8. Answer D.