## 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

11 | |

10 | |

12 | |

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?

10 | |

15 | |

5 | |

20 |

Question 3 |

What will be simple interest on Rs 600 at the rate 3 Â˝ % per annum for 4 year

Rs 87 | |

Rs 80 | |

Rs 84 | |

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

24/27 | |

4/27 | |

16/27 | |

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?

650 | |

720 | |

750 | |

800 |

Question 6 |

In a ratio, which is equal to 3 : 4, if the antecedent is 12, then the consequent is:

20 | |

16 | |

10 | |

22 |

Question 7 |

Two dice are thrown simultaneously. The probability that sum is odd or less than 7 or both, is

1/3 | |

Âľ | |

Â˝ | |

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

**Related:**Â Quantitative Aptitude and Data Interpretation QuestionsÂ

23 | |

26 | |

29 | |

32 |

Question 9 |

In how many ways can 10 true-false questions be replied

100 | |

512 | |

1024 | |

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.

**Related:**Â SBI Reasoning Sample Paper for PO Exam

sample | |

standardized normal | |

sampling | |

population |

Question 11 |

The relation

*R*= {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set*A*= {1, 2, 3} isReflexive but not symmetric | |

Reflexive but not transitive | |

Neither symmetric nor transitive | |

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 |

9 | |

2.26 | |

7.6 | |

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 to14 | |

10 | |

7 | |

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

2% | |

1.5% | |

0.5% | |

1% |

Question 15 |

Karl-Pearsonâ€™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

38.81 | |

29.13 | |

28.61 | |

28.31 |

Question 16 |

Let

*S*be the set of all real numbers. Then the relation*R*= {(*a*,*b*) : 1 +*ab*> 0} on*S*isReflexive, transitive and symmetrc | |

Symmetric, transitive but not reflexive | |

Reflexive and transitive but not symmetric | |

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

**Related:** Dice and Cube Sample Questions

5/4 | |

4/5 | |

8/3 | |

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

Rs. 15,000 | |

Rs. 13,000 | |

Rs. 11,000 | |

Rs. 10,000 |

Question 19 |

If correlation coefficient is negative, then the regression coefficient is

Positive | |

Zero | |

Negative | |

One |

Question 20 |

If

the value of

x : |
25 | 17 | 21 | 23 | 12 | 18 | 22 |

y : |
22 | 20 | 24 | 25 | 17 | 11 | 18 |

*r*will be approximately0.52 | |

0.47 | |

None of these | |

0.55 |

Question 21 |

Hypothesis tests are designed so that the _____ hypothesis will be rejected.

alpha | |

alternative | |

null | |

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

Related: General Knowledge Test

Rs. 228 | |

Rs. 225 | |

Rs. 198 | |

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.1.65 | |

1.05 | |

1.96 | |

.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

2/3 | |

1/3 | |

Â˝ | |

Âľ |

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

6 | |

9 | |

All of these | |

7 |

There are 25 questions to complete.

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