# NCHMCT JEE Numerical Ability and Analytical Aptitude Questions Ques. What will be simple interest on 600 at the rate 3 ½ % per annum for 4 year
(a) 80
(b) 90
(c) 87
(d) 84

Ans. (d)

Ques. In a ratio, which is equal to 3 : 4, if the antecedent is 12, then the consequent is:
(a) 10
(b) 16
(c) 20
(d) 22

Ans. (b)

Ques. Find the missing number:
34, 18, 10, ?
(a) 8
(b) 5
(c) 7
(d) 6

Ans. (d)

Ques. A, B and C together can do a piece of work in 20 days. After working with B and C for 8 days, A leaves and then B and C complete the remaining work in 20 days more. In how many days, A alone could do the work?
(a) 40
(b) 50
(c) 60
(d) 80

Ans. (b)

Ques. If

 x : 25 17 21 23 12 18 22 y : 22 20 24 25 17 11 18

the value of r will be approximately

(a) 0.47
(b) 0.55
(c) 0.52
(d) None of these

Ans. (c)

Ques. A man starts from a point, walks 8 km towards north, turns right and walks 12 km, turns left and walks 7 km, turn and walks 24 km towards south, turns right and walks 12 km. In which direction is he from the starting point?
(a) North
(b) South
(c) West
(d) East

Ans. (b)

Ques. In a class of 55 students, the number of students studying different subjects are 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects. The number of students who have taken exactly one subject is
(a) 6
(b) 9
(c) 7
(d) All of these

Ans. (d)

Ques. An amount of 735 was divided between A, B and C. If each of them had received 25 less, their shares would have been in the ratio of 1 : 3 : 2. The money received by C was:
(a) 198
(b) 228
(c) 225
(d) 245

Ans. (d)

Ques. Two dice are thrown simultaneously. The probability that sum is odd or less than 7 or both, is
(a) 2/3
(b) ½
(c) ¾
(d) 1/3

Ans. (c)

Ques. A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 12 days, and C alone in 24 days, in what time could B alone do it?
(a) 36 days
(b) 40 days
(c) 44 days
(d) 48 days

Ans. (d)

Ques. In the following number series only one number is wrong. Find out the wrong number.
2, 3, 6, 18, 109, 1944, 209952
(a) 3
(b) 6
(c) 18
(d) 109

Ans. (d)

Ques. If correlation coefficient is negative, then the regression coefficient is
(a) Zero
(b) One
(c) Negative
(d) Positive

Ans. (c)

Ques. The difference in simple interest at 13% and 12% p.a. of a sum in one year is 110. Then the sum is
(a) 13,000
(b) 15,000
(c) 10,000
(d) 11,000

Ans. (d)

Ques. 3 men can do a work in 6 days. After 2 days 3 more men joined them. How many days will they take to complete the remaining work?
(a) 5 days
(b) 4 days
(c) 3 days
(d) 2 days

Ans. (d)

Ques. In how many ways can 10 true-false questions be replied
(a) 20
(b) 100
(c) 512
(d) 1024

Ans. (d)

Ques. What is the standard deviation of the following series

 Measurements 0-10 10-20 20-30 30-40 Frequency 1 3 4 2

(a) 81
(b) 7.6
(c) 9
(d) 2.26

Ans. (c)

Ques. The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is
(a) Reflexive but not symmetric
(b) Reflexive but not transitive
(c) Symmetric and Transitive
(d) Neither symmetric nor transitive

Ans. (a)

Ques. A _____ distribution is a theoretical probability distribution that shows the functional relationship between the possible values of some summary characteristic of n cases drawn at random and the probability (density) associated with each value over all possible samples of size n from a particular population.
(a) population
(b) sample
(c) sampling
(d) standardized normal

Ans. (c)

Ques. The difference in the interests received from two different banks on 1000 for 2 years is 20. Thus, the difference in their rates is
(a) 2%
(b) 1%
(c) 1.5%
(d) 0.5%

Ans. (b)

Ques. 12 men can complete a work within 9 days. After 3 days they started the work, 6 men joined them to replace 2 men. How many days will they take to complete the remaining work?
(a) 2
(b) 3
(c) 4
(d) 4½

Ans. (d)

Related: Dice and Cube Sample Questions

Ques. A pack of playing cards was found to contain only 51 cards. If the first 13 cards which are examined are all red, then the probability that the missing cards is black, is
(a) 1/3
(b) 2/3
(c) ½
(d) ¾

Ans. (b)

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 95 percent confidence level.
(a) .05
(b) 1.05
(c) 1.65
(d) 1.96

Ans. (d)

Ques. A fair coin is tossed n times. Let X be the number of times head is observed. If P (X = 4), P(X = 5) and P (X = 6) are in H.P., then n is equal to
(a) 7
(b) 10
(c) 14
(d) None of these

Ans. (d)

Ques. An experiment succeeds twice as often as it fails. Find the probability that in 4 trials there will be at least three success
(a) 4/27
(b) 8/27
(c) 16/27
(d) 24/27

Ans. (c)

Ques. Ram borrowed 5,000 from Sanjay with simple interest. After 2 years, Sanjay got 1,000 more than what he had given to Ram. What was the percentage of interest per annum?
(a) 10
(b) 20
(c) 15
(d) 5

Ans. (a)

Ques. Hypothesis tests are designed so that the _____ hypothesis will be rejected.
(a) alternative
(b) null
(c) incorrect
(d) alpha

Ans. (b)

Ques. A team of 30 men is supposed to do a work in 38 days. After 25 days, 5 more men were employed and the work finished one day earlier. How many days would it have been delayed if 5 more men were not employed?
(a) 4 days
(b) 3 days
(c) 2 days
(d) 1 day

Ans. (d)

Ques. In how many different ways can the letters of the word TRUST be arranged ?
(a) 240
(b)120
(c) 80
(d) None of these

Ans. (d)

Ques. A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is
(a) 8/3
(b) 3/8
(c) 4/5
(d) 5/4

Ans. (b)

Ques. A cistern can be filled by pipes A and B in 20 hours and 30 hours respectively. When full, the tank can be emptied by pipe C in 60 hours. If all the taps be turned on at the same time the cistern will be full in
(a) 10 hours
(b) 15 hours
(c) 16 hours
(d) 30 hours

Ans. (b)

Ques. A number consists of two digits whose sum is 8. If 8 is subtracted from the number, the digits interchange their places. The number is
(a) 44
(b) 35
(c) 62
(d) 33

Ans. (d)

Ques. The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is
(a) 10
(b) 11
(c) 12
(d) None of these

Ans. (b)

Ques. In a touring cricket team there are 16 players in all including 5 bowlers and 2 wicket-keepers. How many teams of 11 players from these, can be chosen, so as to include three bowlers and one wicket-keeper?
(a) 650
(b) 720
(c) 750
(d) 800

Ans. (b)

Ques. Karl-Pearson’s coefficient of skewness of a distribution is 0.32. Its S.D. is 6.5 and mean 39.6. Then the median of the distribution is given by
(a) 28.61
(b) 38.81
(c) 29.13
(d) 28.31

Ans. (b)

Ques. Let S be the set of all real numbers. Then the relation R = {(a, b) : 1 + ab > 0} on S is
(a) Reflexive and transitive but not symmetric
(b) Symmetric, transitive but not reflexive
(c) Reflexive, transitive and symmetrc
(d) Reflexive and symmetric but not transitive

Ans. (d)

Ques. REYN : TGZO : : WJPA : ?
(a) QBRN
(b) MQXB
(c) ROMB
(d) YLQB

Ans. (d)

Ques. There is sufficient food for 150 men for 15 days. After 10 days, 75 men leave the place. For how many days will the rest of the food last for the rest of the men?
(a) 10 days
(b) 8 days
(c) 5 days
(d) 15 days

Ans. (a)

Ques. There are 15 terms in an arithmetic progression. Its first term is 5 and their sum is 390. The middle term is
(a) 23
(b) 26
(c) 29
(d) 32

Ans. (b)

Ques. 40 men, working 8 hours a day can do a piece of work in 15 days. Find the number of days in which 60 men working 4 hrs a day can do twice the work. Assume that 3 men of the first group do as much work in 2 hour as 4 men of the second group do in 3 hrs.
(a) 60 days
(b) 40 days
(c) 80 days
(d) None of these

Ans. (c)