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NDA Mock Test - 7 - Defence MCQ


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30 Questions MCQ Test - NDA Mock Test - 7

NDA Mock Test - 7 for Defence 2024 is part of Defence preparation. The NDA Mock Test - 7 questions and answers have been prepared according to the Defence exam syllabus.The NDA Mock Test - 7 MCQs are made for Defence 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NDA Mock Test - 7 below.
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NDA Mock Test - 7 - Question 1

A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?

NDA Mock Test - 7 - Question 2

There are 4 letters and 4 directed envelopes. These 4 letters are randomly inserted into the 4 envelopes. What is the probability that the letters are inserted into the corresponding envelopes?

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NDA Mock Test - 7 - Question 3

If A and B are events such that P (A U B) = 0.5, P  = 0.8 and P (A/B) = 0.4, then what is P (A ∩ B) equal to

NDA Mock Test - 7 - Question 4

The arithmetic mean of the squares of the first n natural numbers is

NDA Mock Test - 7 - Question 5

Which one of the following measures is determined only after the construction of commulative frequency distribution?

NDA Mock Test - 7 - Question 6

Coefficient of correlation is the measure of

NDA Mock Test - 7 - Question 7

Which one of the following is the unit vector perpendicular to the vectors 4i + 2j and –3i + 2j? 

NDA Mock Test - 7 - Question 8

If p, q, r and s be respectively the magnitudes of the vectors 3i – 2j, 2i + 2j + k, 4i – j + k, 2i + 2j + 3k. Then, which one of the following is correct?

NDA Mock Test - 7 - Question 9

If the position vector of a point P with respect to the origin O is i + 3j – 2k and that of a point Q is 3i + j – 2k, then what is the position vector of the bisector of the ∠POQ?

NDA Mock Test - 7 - Question 10

Let a, b and c be the distinct non-negative numbers. If the vectors ai + aj + ck, i + k, ci + cj + bk lie on a plane, then which one of the following is correct?

NDA Mock Test - 7 - Question 11

The solution of the differential equationc  + x3y + cosec (xy) = 0, is equal to

NDA Mock Test - 7 - Question 12

What is the order of the differential equation  – sin2y = 0? 

NDA Mock Test - 7 - Question 13

y = 2 cosx + 3sinx satisfies which of the following differential equations?

select the correct answer using the code given below

NDA Mock Test - 7 - Question 14

The differential equation of the curve y = sin x is

Detailed Solution for NDA Mock Test - 7 - Question 14

NDA Mock Test - 7 - Question 15

The area bounded by the curve the Y-axis and the two lines y = a and y = b is equal to 

NDA Mock Test - 7 - Question 16

What is the area bounded by the curve 

NDA Mock Test - 7 - Question 17

What is the area under the curve f (x) = xex above the Xaxis and between the lines x = 0 and x = 1?

NDA Mock Test - 7 - Question 18

What is the area bounded by the curve y = x2 and the line y = 16?

NDA Mock Test - 7 - Question 19

What is the value of 

NDA Mock Test - 7 - Question 20

If f (x) = a + bx + cx2, then what is  equal to?

NDA Mock Test - 7 - Question 21

What is  (1 - x)n dx equal to

NDA Mock Test - 7 - Question 22

What is the value of 

NDA Mock Test - 7 - Question 23

What is  dx equal to

NDA Mock Test - 7 - Question 24

What is  dx equal to?

NDA Mock Test - 7 - Question 25

What is  equal to?   

NDA Mock Test - 7 - Question 26

What is dx equal to?

NDA Mock Test - 7 - Question 27

The growth of a quantity N (t) at any instant t is given by  = αN(t).  If N(t) = cekt, c is a constant, then what is the value of α? 

NDA Mock Test - 7 - Question 28

What is the maximum value of sinθ cosθ ? 

Detailed Solution for NDA Mock Test - 7 - Question 28

sinθ cosθ = (1/2)xsin2θ   as we max value of sinθ is 1) so our answer would be 1/2

NDA Mock Test - 7 - Question 29

The velocity of telegraphic communication is given by v  where x is the displacement. For maximum velocity, x equals to 

NDA Mock Test - 7 - Question 30

The function y = tan–1 x – x

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