# Quantitative Aptitude Questions for Competitive Examinations

Ques. What sum of money lent out at compound interest will amount to 968 in 2 years at 10% per annum, interest being charged annually?
(a) 900
(b) 825
(c) 780
(d) 800

Ans. (d)

Ques. If log5 a . loga x = 2, then x is equal to
(a) 125
(b) a2
(c) 25
(d) None

Ans. (c)

Ques. A number consists of two digits whose sum is 8. If 8 is subtracted from the number, the digits interchange their places. What is the number ?
(1) 54
(2) 53
(3) 35
(4) 45
(5) None of these

Ans. (b)

Ques. A dice is thrown 5 times, then the probability that an even number will come up exactly 3 times is
(a) 5/16
(b) Â½
(c) 3/16
(d) 3/2

Ans. (a)

Ques. A certain number of men can do work in 45 days. If there were 4 men less it could be finished in 15 days more. How many men are there?
(a) 28 men
(b) 16 men
(c) 24 men
(d) 20 men

Ans. (b)

Ques. If 2 log10 x + Â½ log10 y = 1, then â€˜yâ€™ in terms of â€˜xâ€™ is
(a) 10xâ€“2
(b) 10xâ€“3
(c) 100xâ€“4
(d) none

Ans. (c)

Ques. The mode of the distribution

 Marks 4 5 6 7 8 No. of students 6 7 10 8 3

(a) 5
(b) 6
(c) 8
(d) 10

Ans. (b)

Ques. The downstream speed of a boat is 15 kmph. and the speed of the stream is 2 kmph. Then the upstream speed of the boat is
(a) 6.5 kmph
(b) 13 kmph
(c) 11 kmph
(d) 12 kmph

Ans. (c)

Ques. A school has four sections of chemistry in class XII having 40, 35, 45 and 42 students. The mean marks obtained in chemistry test are 50, 60, 55 and 45 respectively for the four sections, the over all average of marks per students is
(a) 53
(b) 45
(c) 55.3
(d) 52. 25

Ans. (d)

Ques. The number of quadratic equations having the squared values of its roots also, as roots, is
(a) two
(b) four
(c) six
(d) none

Ans. (b)

Ques. A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
(a) 8925
(b) 8259
(c) 8529
(d) 8952

Ans. (a)

Ques. A line passes through the point of intersection of 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7 is
(a) 3x + 4y + 3 = 0
(b) 3x + 4y = 0
(c) 4x + 3y + 3 = 0
(d) 4x â€“ 3y = 3

Ans. (a)

Ques. In a town of 10,000 families it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then number of families which buy A only is
(a) 3100
(b) 3300
(c) 2900
(d) 1400

Ans. (b)

Ques. Five coins whose faces are marked 2, 3 are tossed. The chance of obtaining a total of 12 is
(a) 1/32
(b) 1/16
(c) 3/16
(d) 5/16

Ans. (a)

Ques. The average speed of a oar is 75 kmph. What will be the average speed of the car if the driver deÂ­creases the average speed of the car by 40 per cent ?
(1) 50 kmph
(2) 45 kmph
(3) 40 kmph
(4)Â  55 kmph
(5)Â  None of these

Ans. (b)

Ques. The sum of squares of deviations for 10 observations taken from mean 50 is 250. The co-efficient of variation is
(a) 50%
(b) 10%
(c) 40%
(d) None of these

Ans. (b)

Ques. The fourth proportional to 5, 8, 15 is :
(a) 22
(b) 24
(c) 23
(d) 20

Ans. (b)

Ques. The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days then in how many days can 12 men, 12 women and 12 boys together finish the same work working 8 hours per day?
(a) 1 Â½ days
(b) 3 Â½ days
(c) 3 days
(d) 2 day

Ans. (a)

Ques. How many even numbers of 3 different digits can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 (repetition is not allowed)
(a) 224
(b) 280
(c) 324
(d) None of these

Ans. (a)

Ques. Which of the following is not a step in calculation of the chi-square statistic?
(a) Formulate the null hypothesis and determine the expected frequency of each answer.
(b) Determine the appropriate significance level
(c) Calculate the sample mean
(d) Calculate the chi-square value.

Ans. (c)

Ques. In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspapers is
(a) At least 30
(b) At most 20
(c) Exactly 25
(d) None of the above

Ans. (c)

Ques. In how many ways can 21 English and 19 Hindi books be placed in a row so that no two Hindi books are together
(a) 1540
(b) 1450
(c) 1504
(d) 1405

Ans. (a)

Ques. The number of terms of the A.P. 3,7,11,15…to be taken so that the sum is 406 is
(a) 5
(b) 10
(c) 12
(d) 14

Ans. (d)

Ques. If 40% of a number is 256, then what is 25% of that number ?
(a) 260
(b) 150
(c) 160
(d) 210

Ans. (c)

Ques. If the coefficient of correlation is positive, then for the values of the variables x, y when the value of x increases perfectly, then
(a) The value of y increases
(b) The value of y decreases
(c) The value of y remains constant
(d) Nothing can be said

Ans. (a)

Ques. The prices of a Car and a Motorcycle are in the ratio 7 : 5. If the Car costs 8000 USD more than a Motorcycle set, then the price of a Car set is:
(a) USD 10,000
(b) USD 42,000
(c) USD 28,000
(d) USD 32,000

Ans. (c)

Ques. Using the standardized normal table supplied with this exam determine what Z value would be used to set up a confidence interval at the 99 percent confidence level.
(a) .01
(b) 1.01
(c) 1.65
(d) 57

Ans. (d)

Ques. 38% of 295 + 62% of 445 = ?
(a) 380
(b) 388
(c) 346
(d) 391

Ans. (b)

Ques. Sum of infinite number of terms in G.P. is 20 and sum of their square is 100. The common ratio of G.P. is
(a) 5
(b) 3/5
(c) 8/5
(d) 1/5

Ans. (b)

Ques. The expenditure of a family for a certain month were as follows :
Food â€“ Rs.560, Rent â€“ Rs.420, Clothes â€“ Rs.180, Education â€“ Rs.160, Other items â€“ Rs.120
A pie graph representing this data would show the expenditure for clothes by a sector whose angle equals
(a) 180 degree
(b) 90 degree
(c) 45 degree
(d) 64 degree

Ans. (c)

Ques. Which of the following is not needed in calculating a confidence interval for a population mean?
(a) a point estimate of the population mean
(b) an estimate of the population variance
(c) a confidence level
(d) All of the above are needed.

Ans. (d)

Ques. 15 men would finish a piece of work in 210 days. But at the end of every 10 days, 15 additional men are employed. In how many days will it be finished?
(a) 30 days
(b) 70 days
(c) 35 days
(d) 60 days

Ans. (d)

Ques. A box contains 100 tickets numbered 1, 2 …… 100. Two tickets are chosen at random. It is given that the maximum number on the two chosen tickets is not more than 10. The minimum number on them is 5 with probability
(a) 1/8
(b) 13/15
(c) 1/7
(d) None of these

Ans. (b)

Related: examples of contraction

Ques. In a battle 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, x% lost all the four limbs. The minimum value of x is
(a) 10
(b) 12
(c) 15
(d) None of these

Ans. (a)

Ques. 21 x 24 â€“ (4)3 + 72 â€“ (?) = 192
(1) 134
(2) 128
(3) 161
(4) 149

Ans. (b)

Ques. The number of observations in a group is 40. If the average of first 10 is 4.5 and that of the remaining 30 is 3.5, then the average of the whole group is
(a) 1/5
(b) 15/4
(c) 4
(d) 8

Ans. (b)

Ques. A boat goes 11 km in an hour with the stream and 5 km in an hour against the stream. The speed of the boat (in km/hr.) in still water is (a) 5
(b) 6
(c) 8
(d) 9

Ans. (c)

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