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Frequently Asked NDA Exam Pattern, NDA Questions with Answers Page 48

(#M40026498) NDA QUESTION Mental Ability Keep an EYE

What is the area of the region enclosed by y = 2 |x| and y = 4 ?
(a) 2 square unit (b) 4 square unit (c) 8 square unit (d) 16 square unit

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(#M40026497) NDA QUESTION Mental Ability Keep an EYE

What is ∫ dx/(x ln x)

equal to

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(#M40026496) NDA QUESTION Mental Ability Keep an EYE

What is dx
x
6 sin x cos x
6
4
5 3
∫
equal to

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(#M40026495) NDA QUESTION Mental Ability Keep an EYE

What is ∫e^lnxdx equal to

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(#M40026494) NDA QUESTION Mental Ability Keep an EYE

What is ∫xe^xdx equal to

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(#M40026493) NDA QUESTION Mental Ability Keep an EYE

What is ∫
(x3 sin x)dx equal to

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(#M40026492) NDA QUESTION Mental Ability Keep an EYE

What is ∫dx/(x^2+4) equal to

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(#M40026490) NDA QUESTION Mental Ability Keep an EYE

Consider the following statements:
1. The derivative where the function attains maxima or minima must be zero
2. If a function is differentiable at a point, then it must be continuous at that point.
Which of the above statements is/are correct ?
(a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2

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(#M40026489) NDA QUESTION Mental Ability Keep an EYE

The curve y = x^ex has minimum value equal to

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(#M40026488) NDA QUESTION Mental Ability Keep an EYE

The function f(x) = x^2 – 4x, x ∈ [0, 4] attains minimum value at

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