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NDA Exam  >  NDA Tests  >  NDA (National Defence Academy) Mock Test Series 2024  >  NDA Mock Test - 10 - NDA MCQ

NDA Mock Test - 10 - NDA MCQ


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30 Questions MCQ Test NDA (National Defence Academy) Mock Test Series 2024 - NDA Mock Test - 10

NDA Mock Test - 10 for NDA 2024 is part of NDA (National Defence Academy) Mock Test Series 2024 preparation. The NDA Mock Test - 10 questions and answers have been prepared according to the NDA exam syllabus.The NDA Mock Test - 10 MCQs are made for NDA 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NDA Mock Test - 10 below.
Solutions of NDA Mock Test - 10 questions in English are available as part of our NDA (National Defence Academy) Mock Test Series 2024 for NDA & NDA Mock Test - 10 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 - 10 | 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 - 10 - Question 1
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If (4, 0) and (–4, 0) are foci of an ellipse and semiminor axis is 3, then the ellipse passes through which one of the following points?

NDA Mock Test - 10 - Question 2
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Under what condition do the planes bx – ay = n, cy – bz = 1, az – cx = m intersect in a line?

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NDA Mock Test - 10 - Question 3
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What is the maximum point on the curve x = ex y?

NDA Mock Test - 10 - Question 4
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The function f (x) = ex, x ∈ R is 
NDA Mock Test - 10 - Question 5
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If , then what dy/dx is equal to?
NDA Mock Test - 10 - Question 6
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What is the value of λ for which the vectors  are coplanar ?
NDA Mock Test - 10 - Question 7
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What is the equation of the plane through z-axis and parallel to the line 
NDA Mock Test - 10 - Question 8
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If the lines 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, then what is the value of b?
NDA Mock Test - 10 - Question 9
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What is the least value of f (x) = 2x3 – 3x2 – 12x + 1 on [–2, 2.5]? 
NDA Mock Test - 10 - Question 10
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What is the derivative of 
NDA Mock Test - 10 - Question 11
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If (–5, 4) divides the line segment between the coordinate axes in the ratio 1 : 2, then what is its equation? 
NDA Mock Test - 10 - Question 12
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What is the value of  ?
NDA Mock Test - 10 - Question 13
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Out of 32 persons, 30 invest in National Savings Certificates and 17 invest in shares.  What is the number of persons who invest in both?
NDA Mock Test - 10 - Question 14
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What are the equations of the directives of the ellipse 25x2 + 16y2 = 400?
NDA Mock Test - 10 - Question 15
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Let A be an n x n matrix. If det (λA) = λs det (A), what is the value of s? 
NDA Mock Test - 10 - Question 16
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Let E be the ellipse  and C be the circle x2 + y2 = 9. Let P = (1, 2) and Q = (2, 1). Which one of the following is correct? 
NDA Mock Test - 10 - Question 17
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What is the geometric interpretation of the identity  ?

1. If the diagonals of a given parallelogram are used as sides of a second parallelogram, then the area of the second parallelogram is twice that of the given parallelogram. 
2. If the semi-diagonals of a given parallelogram are used as sides of a second parallelogram, then the area of the second parallelogram is half that of the given parallelogram. 

Select the correct answer using the code given below: 
NDA Mock Test - 10 - Question 18
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What is 
NDA Mock Test - 10 - Question 19
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The function  from R to R is 
NDA Mock Test - 10 - Question 20
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If A be a real skew-symmetric matrix of order n such that A2 + I = 0, I being the identity matrix of the same order as that of A, then what is the order of A?
NDA Mock Test - 10 - Question 21
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If sin x + cosec x = 2, then what is the value of sin4x + cosec4x?
NDA Mock Test - 10 - Question 22
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What is the value of tan 15o + cot 15o ?
NDA Mock Test - 10 - Question 23
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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 - 10 - Question 24
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If angles of a triangle are in the ratio 1 : 2 : 3, then what is the ratio of its corresponding sides? 
NDA Mock Test - 10 - Question 25
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If C (n, 12) = C (n, 8), then what is the value of C (22, n)? 
NDA Mock Test - 10 - Question 26
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If  where ω is cube root of unity, then what is A100 equal to?
NDA Mock Test - 10 - Question 27
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What is the modulus of  equal to?
NDA Mock Test - 10 - Question 28
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What is the value of  where n ∈ N ?
NDA Mock Test - 10 - Question 29
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If x = (1 1 0 1)2 and y = (1 1 0)2, then what is the value of x2 – y2?
NDA Mock Test - 10 - Question 30
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If (1 0 x 0 1 0)2 (1 1 y 1)2 = (1 0 z 1 1)2, then what are the possible values of the binary digits x, y, z respectively? 
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