Aptitude & Reasoning

NCHMCT JEE Numerical Ability and Analytical Aptitude Questions

NCHMCT JEE quantitative aptitude

NCHMCT JEE Practice Questions on Quantitative Aptitude

Question 1
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
11
B
10
C
12
D
None of these
Question 2
Ram borrowed Rs. 5,000 from Sanjay with simple interest. After 2 years, Sanjay got Rs. 1,000 more than what he had given to Ram. What was the percentage of interest per annum?
A
10
B
15
C
5
D
20
Question 3
What will be simple interest on Rs 600 at the rate 3 ½ % per annum for 4 year
A
Rs 87
B
Rs 80
C
Rs 84
D
Rs 90
Question 4
An experiment succeeds twice as often as it fails. Find the probability that in 4 trials there will be at least three success
A
24/27
B
4/27
C
16/27
D
8/27
Question 5
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
Question 6
In a ratio, which is equal to 3 : 4, if the antecedent is 12, then the consequent is:
A
20
B
16
C
10
D
22
Question 7
Two dice are thrown simultaneously. The probability that sum is odd or less than 7 or both, is
A
1/3
B
¾
C
½
D
2/3
Question 8
There are 15 terms in an arithmetic progression. Its first term is 5 and their sum is 390. The middle term is

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A
23
B
26
C
29
D
32
Question 9
In how many ways can 10 true-false questions be replied
A
100
B
512
C
1024
D
20
Question 10
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.

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A
sample
B
standardized normal
C
sampling
D
population
Question 11
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
Neither symmetric nor transitive
D
Symmetric and Transitive
Question 12
What is the standard deviation of the following series
Measurements 0-10 10-20 20-30 30-40
Frequency 1 3 4 2
A
9
B
2.26
C
7.6
D
81
Question 13
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
14
B
10
C
7
D
None of these
Question 14
The difference in the interests received from two different banks on Rs. 1000 for 2 years is Rs. 20. Thus, the difference in their rates is
A
2%
B
1.5%
C
0.5%
D
1%
Question 15
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
38.81
B
29.13
C
28.61
D
28.31
Question 16
Let S be the set of all real numbers. Then the relation R = {(a, b) : 1 + ab > 0} on S is
A
Reflexive, transitive and symmetrc
B
Symmetric, transitive but not reflexive
C
Reflexive and transitive but not symmetric
D
Reflexive and symmetric but not transitive
Question 17
A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is

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A
5/4
B
4/5
C
8/3
D
3/8
Question 18
The difference in simple interest at 13% and 12% p.a. of a sum in one year is Rs. 110. Then the sum is
A
Rs. 15,000
B
Rs. 13,000
C
Rs. 11,000
D
Rs. 10,000
Question 19
If correlation coefficient is negative, then the regression coefficient is
A
Positive
B
Zero
C
Negative
D
One
Question 20
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
0.52
B
0.47
C
None of these
D
0.55
Question 21
Hypothesis tests are designed so that the _____ hypothesis will be rejected.
A
alpha
B
alternative
C
null
D
incorrect
Question 22
An amount of Rs. 735 was divided between A, B and C. If each of them had received Rs. 25 less, their shares would have been in the ratio of 1 : 3 : 2. The money received by C was:f

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A
Rs. 228
B
Rs. 225
C
Rs. 198
D
Rs. 245
Question 23
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
1.65
B
1.05
C
1.96
D
.05
Question 24
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
2/3
B
1/3
C
½
D
¾
Question 25
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
All of these
D
7
There are 25 questions to complete.

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