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NDA Mock Test - 6 - Defence MCQ


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30 Questions MCQ Test - NDA Mock Test - 6

NDA Mock Test - 6 for Defence 2024 is part of Defence preparation. The NDA Mock Test - 6 questions and answers have been prepared according to the Defence exam syllabus.The NDA Mock Test - 6 MCQs are made for Defence 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NDA Mock Test - 6 below.
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NDA Mock Test - 6 - Question 1

If the area of a triangle with vertices (–3, 0), (3, 0) and (0, k) is 9 square units, then what is the value of k

NDA Mock Test - 6 - Question 2

If Na = {ax | x ∈ N}, then what is N12 ∩ N8 equal to?

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NDA Mock Test - 6 - Question 3

If X = {(4n – 3n – 1) | n ∈ N} and Y = {9 (n – 1) | n ∈ N}, then what is  equal to?

NDA Mock Test - 6 - Question 4

Sets A and B have n elements in common. How many elements will (A x B) and (B x A) have in common?

NDA Mock Test - 6 - Question 5

then what is |z| equal to

NDA Mock Test - 6 - Question 6

What is the modulus of 

NDA Mock Test - 6 - Question 7

If is the imaginary cube root of unity, then what is (2 – ω + 2ω2)27 equal to

NDA Mock Test - 6 - Question 8

If x = (1101)2 and y = (110)2, then what is the value of x2 – y2

NDA Mock Test - 6 - Question 9

If (10 x010)2 – (11y1)2 = (10z11)2, then what are the possible values of the binary digits x, y, z respectively

NDA Mock Test - 6 - Question 10

If a, b, c are in GP, then  is equal to 

NDA Mock Test - 6 - Question 11

If x2, y2, z2 are in AP, then y + z, z + x, x + y are in

NDA Mock Test - 6 - Question 12

If the sum of the first two terms and the sum of the first four terms of a geometric progression with positive common ratio are 8 and 80 respectively, then what is the 6th term?

NDA Mock Test - 6 - Question 13

If x > 1 and log2 x, log3 x, logx 16 are in GP, then what is x equal to? 

NDA Mock Test - 6 - Question 14

The harmonic mean of two numbers is 21.6.  If one of the numbers is 27, then what is the other number?

NDA Mock Test - 6 - Question 15

If α and β are the roots of the equation x2 – 2x + 4 = 0, then what is the value of α3 + β3?

NDA Mock Test - 6 - Question 16

If a, b and c are real numbers, then roots of the equation (x – a) (x – b) + (x – b) (x – c) + (x – c) (x – a) = 0 are always

NDA Mock Test - 6 - Question 17

If x = 2 + 21/3 + 22/3, then what is the value of x3 – 6x2 + 6x?

NDA Mock Test - 6 - Question 18

Using the digits 1, 2, 3, 4 and 5 only once, how many numbers greater than 41000 can be formed? 

NDA Mock Test - 6 - Question 19

A, B, C, D and E are coplanar points and three of them lie in a straight line.  What is the maximum number of triangles that can be drawn with these points as their vertices?

NDA Mock Test - 6 - Question 20

What is the number of ways of arranging the letters of the word 'BANANA', so that no two N's appear together?

Detailed Solution for NDA Mock Test - 6 - Question 20

NDA Mock Test - 6 - Question 21

What is the middle term in the expansion of 

NDA Mock Test - 6 - Question 22

What is the number of terms in the expansion of (a + b + c)n, n ∈ N?

NDA Mock Test - 6 - Question 23

What is the coefficient of x4 in the expansion of ?

NDA Mock Test - 6 - Question 24

The value of is equal to

NDA Mock Test - 6 - Question 25

The value of (yz)log  y – log z x (zx)log z – log x x (xy)log x – log y is equal to 

NDA Mock Test - 6 - Question 26

then x is equal to

NDA Mock Test - 6 - Question 27

Two poles are 10 m and 20 m high. The line joining their tops makes an angle of 15o with the horizontal. What is the approximate distance between the poles? 

NDA Mock Test - 6 - Question 28

From the top of a lighthouse 120 m above the see, the angle of depression of a boat is 15o. What is the (approx) distance of the boat from the lighthouse? 

NDA Mock Test - 6 - Question 29

then a, b, c are in 

NDA Mock Test - 6 - Question 30

then AT  is equal to

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