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NDA Exam  >  NDA Tests  >  NDA (National Defence Academy) Mock Test Series 2024  >   NDA Mock Test - 2 - NDA MCQ

NDA Mock Test - 2 - NDA MCQ


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30 Questions MCQ Test NDA (National Defence Academy) Mock Test Series 2024 - NDA Mock Test - 2

NDA Mock Test - 2 for NDA 2024 is part of NDA (National Defence Academy) Mock Test Series 2024 preparation. The NDA Mock Test - 2 questions and answers have been prepared according to the NDA exam syllabus.The NDA Mock Test - 2 MCQs are made for NDA 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NDA Mock Test - 2 below.
Solutions of NDA Mock Test - 2 questions in English are available as part of our NDA (National Defence Academy) Mock Test Series 2024 for NDA & NDA Mock Test - 2 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 - 2 | 150 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 - 2 - Question 1
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What is the modulus of 

NDA Mock Test - 2 - Question 2
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If α is a complex number such that α2 + α + 1 = 0, then what is α31 equal to?

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NDA Mock Test - 2 - Question 3
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If ω is the cube root of unity, then what is the conjugate of 2ω2 + 3i?

NDA Mock Test - 2 - Question 4
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If one root of 5x2+13x+k=0 is reciprocal of the other, then k is equal to
Detailed Solution for NDA Mock Test - 2 - Question 4

let the two roots be a and 1/a

so product of roots

a x 1/a = k/5

k = 5

NDA Mock Test - 2 - Question 5
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The quadratic equation x2 + bx + 4 = 0 will have real roots, if 
NDA Mock Test - 2 - Question 6
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The roots of the equation x2 – 8x + 16 = 0
NDA Mock Test - 2 - Question 7
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If the roots of a quadratic equation ax2 + bx + c = 0 are α and β, then the quadratic equation having roots α2 and β2 is 
NDA Mock Test - 2 - Question 8
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Consider the following statements 

I. The matrix  is singular.
II. The matrix  is non-singular.

Q. 

Which of the above statement is/are correct?
NDA Mock Test - 2 - Question 9
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Consider the following statements

I. Every zero matrix is a square matrix.
II. A matrix has a numerical value.
III. A unit matrix is a diagonal matrix. 

Q.

Which of the above statement is/are correct? 
NDA Mock Test - 2 - Question 10
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What is the order of the product 
NDA Mock Test - 2 - Question 11
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For what value of x does  hold?
NDA Mock Test - 2 - Question 12
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The value of the determinant 
NDA Mock Test - 2 - Question 13
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If a–1 + b–1 + c–1 = 0 such that  λ, then what is λ equal to?
NDA Mock Test - 2 - Question 14
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then what is the value of the determinant 
NDA Mock Test - 2 - Question 15
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then what is the value of ?
NDA Mock Test - 2 - Question 16
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What is the value of sin 
NDA Mock Test - 2 - Question 17
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NDA Mock Test - 2 - Question 18
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If A + B + C = π/2, then what is the value of tan A tan B + tan B tan C + tan C tan A?
NDA Mock Test - 2 - Question 19
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where m is a non-square natural number m, then sec 2θ is 
NDA Mock Test - 2 - Question 20
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If A  then what is the value of

NDA Mock Test - 2 - Question 21
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If (sin x + cosec x)2 + (cos x + sec x)2 = k + tan2xcot2x, then what is the value of k?
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NDA Mock Test - 2 - Question 22
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 is equal to
NDA Mock Test - 2 - Question 23
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If 4 (sin2α + sin2β + sin2γ) = a2, then a is equal to
NDA Mock Test - 2 - Question 24
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A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point P on the plane, the angle of elevation of the bottom of the flag staff α and that of the top is β. What is the height of the tower?
Detailed Solution for NDA Mock Test - 2 - Question 24

NDA Mock Test - 2 - Question 25
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Looking from the top of a 20 m high building, the angle of elevation of the top of a tower is 60o and the angle of depression of its bottom is 30o. What is the height of the tower?
Detailed Solution for NDA Mock Test - 2 - Question 25

NDA Mock Test - 2 - Question 26
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If the angles of a triangle are 30o and 45o and the included side is  cm, then what is the area of the triangle?  
NDA Mock Test - 2 - Question 27
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If, in general, the value of sin A is known but the value of A is not known, then how many values of tan can be calculated? 
NDA Mock Test - 2 - Question 28
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If in a ΔABC, cos B = (sin A)/(2 sin C), then the triangle is 
NDA Mock Test - 2 - Question 29
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The equation to the locus of a point which is always equidistant from the points (1, 0) and (0, –2) is 
NDA Mock Test - 2 - Question 30
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The points (5, 1), (1, –1) and (11, 4) are
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