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NDA Mock Test - 4 - NDA MCQ


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30 Questions MCQ Test NDA (National Defence Academy) Mock Test Series 2024 - NDA Mock Test - 4

NDA Mock Test - 4 for NDA 2024 is part of NDA (National Defence Academy) Mock Test Series 2024 preparation. The NDA Mock Test - 4 questions and answers have been prepared according to the NDA exam syllabus.The NDA Mock Test - 4 MCQs are made for NDA 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NDA Mock Test - 4 below.
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NDA Mock Test - 4 - Question 1

Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English.  The total number of students learning French is 46 and the total number of students learning only French is 11.

Q.

How many students learn precisely two languages 

NDA Mock Test - 4 - Question 2

The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English.  The total number of students learning French is 46 and the total number of students learning only French is 11.

Q. 

How many students learn at least two languages

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NDA Mock Test - 4 - Question 3

The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English.  The total number of students learning French is 46 and the total number of students learning only French is 11.

Q. 

How many students learn English and French 

NDA Mock Test - 4 - Question 4

Let A = {x| x ≤ 9, x ∈ N}.  Let B = {a, b, c} be the subset of A where (a + b + c) is a multiple of 3. What is the largest possible number of subsets like B? 

NDA Mock Test - 4 - Question 5

A mapping f : R → R which is defined as f (x) = cos x; x ∈ R is

NDA Mock Test - 4 - Question 6

If ω is a complex cube root of unity, then what is ω10 + ω–10 equal to

NDA Mock Test - 4 - Question 7

What is the value of 

NDA Mock Test - 4 - Question 8

What is the modulus of 

NDA Mock Test - 4 - Question 9

100101 + 101 + 1101 + 100 is equal to 

NDA Mock Test - 4 - Question 10

The decimal number (57.375)10 when converted to binary number takes the form

NDA Mock Test - 4 - Question 11

The number 292 in decimal system is expressed in binary system by

NDA Mock Test - 4 - Question 12

In a GP of positive terms, any term is equal to one-third of the sum of next two terms. What is the common ratio of the GP? 

NDA Mock Test - 4 - Question 13

If the AM and GM between two numbers are in the ratio m : n, then what is the ratio between the two numbers?

NDA Mock Test - 4 - Question 14

If the roots of the equation 3ax2 + 2bx + c = 0 are in the ratio 2 : 3, then which one of the following is correct? 

NDA Mock Test - 4 - Question 15

If the roots of a quadratic equation are m + n and m – n, then the quadratic equation will be

NDA Mock Test - 4 - Question 16

What is the sum of the squares of the roots of the equation x2 + 2x – 143 = 0 

NDA Mock Test - 4 - Question 17

How many diagonals will be there in an n-sided regular polygon

NDA Mock Test - 4 - Question 18

There are 4 candidates for the post of a lecturer in Mathematics and one is to be selected by votes of 5 men. What is the number of ways in which the votes can be given

NDA Mock Test - 4 - Question 19

What is the number of three digit odd numbers formed by using the digits 1, 2, 3, 4, 5, 6 if repetition of digits is allowed

NDA Mock Test - 4 - Question 20

What is the ratio of coefficient of x15 to the term independent of x in 

NDA Mock Test - 4 - Question 21

What is the coefficient of x17 in the expansion of 

NDA Mock Test - 4 - Question 22

What is the term independent of x in the expansion of (1 + x + 2x3

NDA Mock Test - 4 - Question 23

NDA Mock Test - 4 - Question 24

NDA Mock Test - 4 - Question 25

Directions : If A and B are two matrices of same order, then

Q. 

(AB)n = AnBn is

NDA Mock Test - 4 - Question 26

If A and B are two matrices of same order, then

Q. 

If A and B are symmetric matrices, then (ABA)T is

NDA Mock Test - 4 - Question 27

If A and B are two matrices of same order, then

Q. 

If AB = BA, then (A + B)2 is equal to

NDA Mock Test - 4 - Question 28

If the sum of the matrices  is the matrix  then what is the value of y?

NDA Mock Test - 4 - Question 29

If  where a, b are natural numbers, then which one of the following is correct?

NDA Mock Test - 4 - Question 30

What is the value of the determinant

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