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NDA Mock Test: Mathematics - 8 - NDA MCQ


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30 Questions MCQ Test NDA (National Defence Academy) Mock Test Series 2024 - NDA Mock Test: Mathematics - 8

NDA Mock Test: Mathematics - 8 for NDA 2024 is part of NDA (National Defence Academy) Mock Test Series 2024 preparation. The NDA Mock Test: Mathematics - 8 questions and answers have been prepared according to the NDA exam syllabus.The NDA Mock Test: Mathematics - 8 MCQs are made for NDA 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NDA Mock Test: Mathematics - 8 below.
Solutions of NDA Mock Test: Mathematics - 8 questions in English are available as part of our NDA (National Defence Academy) Mock Test Series 2024 for NDA & NDA Mock Test: Mathematics - 8 solutions in Hindi for NDA (National Defence Academy) Mock Test Series 2024 course. Download more important topics, notes, lectures and mock test series for NDA Exam by signing up for free. Attempt NDA Mock Test: Mathematics - 8 | 120 questions in 150 minutes | Mock test for NDA preparation | Free important questions MCQ to study NDA (National Defence Academy) Mock Test Series 2024 for NDA Exam | Download free PDF with solutions
NDA Mock Test: Mathematics - 8 - Question 1

What is the maximum value of sinθ cosθ ? 

Detailed Solution for NDA Mock Test: Mathematics - 8 - Question 1

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

NDA Mock Test: Mathematics - 8 - Question 2

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?

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NDA Mock Test: Mathematics - 8 - Question 3

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?

NDA Mock Test: Mathematics - 8 - Question 4

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: Mathematics - 8 - Question 5

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

NDA Mock Test: Mathematics - 8 - Question 6

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

NDA Mock Test: Mathematics - 8 - Question 7

Coefficient of correlation is the measure of

NDA Mock Test: Mathematics - 8 - Question 8

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

NDA Mock Test: Mathematics - 8 - Question 9

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: Mathematics - 8 - Question 10

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: Mathematics - 8 - Question 11

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: Mathematics - 8 - Question 12

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

NDA Mock Test: Mathematics - 8 - Question 13

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

NDA Mock Test: Mathematics - 8 - Question 14

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

select the correct answer using the code given below

NDA Mock Test: Mathematics - 8 - Question 15

The differential equation of the curve y = sin x is

Detailed Solution for NDA Mock Test: Mathematics - 8 - Question 15

NDA Mock Test: Mathematics - 8 - Question 16

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

NDA Mock Test: Mathematics - 8 - Question 17

What is the area bounded by the curve 

NDA Mock Test: Mathematics - 8 - Question 18

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: Mathematics - 8 - Question 19

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

NDA Mock Test: Mathematics - 8 - Question 20

What is the value of 

NDA Mock Test: Mathematics - 8 - Question 21

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

NDA Mock Test: Mathematics - 8 - Question 22

What is  (1 - x)n dx equal to

NDA Mock Test: Mathematics - 8 - Question 23

What is the value of 

NDA Mock Test: Mathematics - 8 - Question 24

What is  dx equal to

NDA Mock Test: Mathematics - 8 - Question 25

What is  dx equal to?

NDA Mock Test: Mathematics - 8 - Question 26

What is  equal to?   

NDA Mock Test: Mathematics - 8 - Question 27

What is dx equal to?

NDA Mock Test: Mathematics - 8 - Question 28

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: Mathematics - 8 - 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: Mathematics - 8 - Question 30

The function y = tan–1 x – x

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