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Frequently Asked NDA Exam Pattern, NDA Questions with Answers Page 40

(#M40026595) NDA QUESTION Mental Ability Keep an EYE

If sinθ + 2 cosθ = 1, then what is 2 sinθ – cosθ equal to

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(#M40026594) NDA QUESTION Mental Ability Keep an EYE

If cosecθ + cotθ = c, then what is cos θ equal to ?

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(#M40026593) NDA QUESTION Mental Ability Keep an EYE

The angle of elevation of the top of a tower of height H from the foot of another tower in the same plane is
60º and the angle of elevation of the top of the second tower from the foot of the first tower is 30º. If h is the
height of the other tower,then find relation between h and H

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(#M40026591) NDA QUESTION Mental Ability Keep an EYE

If α and β are the roots of the equation x^2 + bx + c = 0, then what is the value of α^–1 + β^–1 ?

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(#M40026589) NDA QUESTION Mental Ability Keep an EYE

Let N be the set of natural numbers and f : N → N be a function given by f(x) = x + 1 for x ∈ N. Which one
of the following is correct ?
(a) f is one-one and onto (b) f is one-one but not onto
(c) f is only onto (d) f is neither one-one nor onto

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(#M40026588) NDA QUESTION Mental Ability Keep an EYE

If A is a relation on a set R, then which one of the following is correct ?
(a) R ⊆ A (b) A ⊆ R (c) A ⊆ (R ×R) (d) R ⊆ (A×A)

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(#M40026587) NDA QUESTION Mental Ability Keep an EYE

What is the value of logy x^5 logx y^2 logz z^3 ?

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(#M40026586) NDA QUESTION Mental Ability Keep an EYE

If A = {x, y}, B = {2, 3}, C = {3, 4}, then what is the number of elements in A × (B ∪ C) ?

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(#M40026584) NDA QUESTION Mental Ability Keep an EYE

What is the degree of the equation,1/(x-1^3)=1/x+2

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(#M40026583) NDA QUESTION Mental Ability Keep an EYE

What is the degree of the equation,2/(x+2)=2(x-5)^2+6

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