aptitude qustions

8/13/2019 aptitude qustions

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DEPARTMENT OF METALLURGICAL ENGINEERING AND MATERIALS SCIENCE

(1) Log {1/3(a+b)} = ½(loga + logb)

Which of the following is equal to a 2+ b2

(a) 9ab (b) 7ab (c) 5ab (d) none of these.

(2) In how many ways can Rs. 18.75 be paid in exactly 85 coins consisting of 50-paisa, 25-paisa and 10-paisa coins?

(a) 1 (b) 2 (c) 4 (d) 8

(3) In how many ways may 20 identical gold coins be given to 5 persons so that noperson may receive less than 3 of them?

(a) 126 (b) 162 (c) 120 (d) 210

(4) The probability that the sum of the squares of the two numbers which show upwhen two fair dice are thrown is even, is(a) ½ (b)2/7 (c) 3/7 (d) 4/7 (e) none of these

Directions for question 5

In each of the following sentences, part/parts of the sentence is/are left blank. Beneatheach sentence four different ways of completing the sentence are indicated. Choose the

best alternative from among the four

(5) Today’s businesses are looking for innovative ways to differentiate themselves inthe minds of their customers

(a) to build loyalty and allegiance.(b) to build honesty and abeyance.(c) to rebuild new strategies.(d) to seek and to be sought.



(6)Which of the following best completes the passage below?One tax-reform proposal that has gained increasing support in recent years is theflat tax, which would impose a uniform tax rate on incomes at every level.Opponents of the flat tax say that a progressive tax system, which levies a higherrate of taxes on higher-income taxpayers, is fairer, placing the greater burden onthose better able to bear it. However, the present crazy quilt of tax deductions,exemptions, credits, and loopholes benefits primarily the high-income taxpayer,who is consequently able to reduce his or her effective tax rate, often to a levelbelow that paid by the lower-income taxpayer. Therefore, ______(A) higher-income taxpayers are likely to lend their support to the flat-tax proposal

now being considered by Congress(B) a flat-tax system that allowed no deductions or exemptions would substantially

increase actual government revenues

(C) the lower-income taxpayer might well be penalized by the institution of a flat-tax system in this country(D) the progressive nature of our present tax system is more illusory than real(E) the flat tax would actually be fairer to the lower-income taxpayer than any

progressive tax system could be.

(7) After surgery for my knee injury, my doctor gave me painkillers that made me _____and _____.

(A) articulate -- copious

(B) doltish -- overt(C) autocratic -- congruent(D) torpid -- phlegmatic(E) ludicrous – remiss

(8) Antonym of the word IMPECCABLE(A) Immaculate.(B) Irreproachable.(C) Imperturbable.(D) Impropriety.(E) Immolate.

(9) INCEPTION:: CONCLUSION(A) Departure : arrival(B)Culmination : upshot(C)Refutation : approval(D)Approach : return(E)Escapade : punishment



(10) HACKNEYED :: FRESHNESS(A) stale : porosity(B) facile : delicacy

(C) ponderous : lightness(D) central : vitality(E) relevant : pertinence

(11) People who seek advice from (i)____ often find that what they are told can seemtrue, because these seekers of information attribute significance to some predictionsand ignore others. The mind seeks to make sense of predictions that, in themselves,have no (ii)____ value, and thus it becomes difficult to prove that the forecasts are(iii)____ .

Blank (i)

A. expertsB.philosophers

C. clairvoyants

Blank (ii)

D. specialE. general

F. legal

Blank (iii)

G. genuineH. specious

I. accurate

(12) The success of the business venture ____ his expectations; he never thought thatthe firm would prosper.(A)confirmed(B)belied(C)nullified

(D)fulfilled(E)ratified

Direction for questions 13 to 18 : The following data gives the market share of the salesturnover (in rupees) of the major two-wheeler manufacturers in India for 2000.

The table below gives the production and sales of TVS Suzuki for the periodsAprilAugustin 2000 and 2001.



(13) If the motorcycles form 40% of the sales of the two-wheeler industry in 2000, whatis the market share of TVS Suzuki in the ‘rest of the two- wheeler’ category?

(A) 29% (B) 27% (C) 23% (D) 31%

(14) If Hero Honda manufactures only motorcycles, find the market share ofmotorcycles in the two- wheeler industry in 2000.

(A) 22% (B) 28% (C) 56% (D) Data Insufficient

(15) If sales of TVS Suzuki in April-August period for 2000 are 50% of its annual sales for

each of the categories, find the size of the two-wheeler market in 2000 in revenueterms.

(A) Rs. 31,64,000 crore (B) Rs. 1,58,200 crore (C) Rs. 1,61,100 crore (D) Data insufficient.

(16) Which of the following is true?(A) Hero Honda is the largest player in the scooter and moped market.

(B) TVS Suzuki has a higher profitability in scooters.(C) The growth rate in sales for TVS Suzuki is the highest for mopeds.(D) None of the above.

(17) The ratio of the number of units of motorcycles sold to the number of units of the restof the two- wheelers is 3: 7 in 2000. If the average price of the rest of the two-wheelers and theaverage price of a motorcycle are in the ratio 4: 7, find what percent of its turnover does HeroHonda get from its motorcycle sales? (Assume the total turnover is only from manufacturingtwo-wheelers.)

(A) 35.2 (B) 43.7 (C) 56 (D) 76.5

(18) What is the sales turnover of two-wheelers sold by TVS Suzuki in April-August 2001, if theaverage price of a two-wheeler sold in India is Rs. 20,000?

(A) Rs. 610 crore (B) Rs. 576 crore (C) Rs. 552 crore (D) Data insufficient

(19) A cube is inscribed in a sphere and another sphere is inscribed in the cube. What is the ratioof surface areas of the outer sphere and the inner sphere?

(A)3: 1 (B) √2:1 (C)4:1 (D) 2:1

(20) For natural numbers N, the inequality 2 N> N2 holds when

(A) N > 4 (B) N = 1 and N > 4 (C) N> 1 (D) N >2



21) A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs.1600 each on 1 st January and 1 st July of a year. At the end of the year, the amount he wouldhave gained by way of interest is:

a)120 b)121 c)122 d)123

22) A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comesback in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

a)4 b)5 c)6 d)10

23) The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. Thelarger of the two numbers is:

a)276 b)299 c)322 d)345

24) Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 secondsrespectively. In 30 minutes, how many times do they toll together ?

a)4 b)10 c)15 d)16

25)Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is aproposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio ofincreased seats?

a)2:3:4 b)6:7:8 c)6:8:9 d)none of these

26) How many of the following numbers are divisible by 132 ?264, 396, 462, 792, 968, 2178, 5184, 6336

a)4 b)5 c)6 d)7

27) Given the sequence A,B,B,C,C,C,D,D,D,D…… so on, the 240 th letter in the sequence will be

a)V b)U c)T d)W

28) Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50years, what is definitely the difference between R and Q's age?

a)1 years b) 2 years c) 25 years d) data inadequate e) none of these

29) What is the present age of Tanya?

I. The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively.

II. After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5.



III. Rahul is 5 years older than Tanya.

a) I and II only b) II and III only c) I and III only d) All I, II and III e) Any two of the three

30) A dice is rolled three times and the sum of three numbers on the upper most face is 15.The chance that the first roll was a 4 on the upper most face is:

a)1/5 b)3/5 c)2/5 d)1/6

31) If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is thefather of B. Which of the following means that C is the son of M?

(a) M - N x C + F (b) F - C + N x M (c) N+M-FxC (d) MxN-C+F

32) P, Q, R, S, T, U, V and W are sitting round the circle and are facing the centre:

1. P is second to the right of T who is the neighbour of R and V.2. S is not the neighbour of P.3. V is the neighbour of U.4. Q is not between S and W. W is not between U and S.

a)RV b)UV c)RP d)QW

33) Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10minutes respectively. When the tank is empty, all the three pipes are opened. A, B and Cdischarge chemical solutions P,Q and R respectively. What is the proportion of the solution R inthe liquid in the tank after 3 minutes?

A)5/11 b)6/11 c)7/11 d)8/11

34) Running at the same constant rate, 6 identical machines can produce a total of 270 bottlesper minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

a)648 b)1800 c)2700 d) 10800

35) The length of the bridge, which train 130 metres long and travelling at 45 km/hr can cross in30 seconds, is:

a)200 b)225 c)245 d)250

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