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Frequently Asked NDA Exam Pattern, NDA Questions with Answers Page 34

(#M40026676) NDA QUESTION Mental Ability Keep an EYE

The binary representation of the decimal number 152522 is

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(#M40026675) NDA QUESTION Mental Ability Keep an EYE

The binary representation of the decimal number 28295 is

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(#M40026674) NDA QUESTION Mental Ability Keep an EYE

The binary representation of the decimal number 2929 is

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(#M40026673) NDA QUESTION Mental Ability Keep an EYE

The binary representation of the decimal number 2025 is

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(#M40026670) NDA QUESTION Mental Ability Keep an EYE

If y = x^x, what is
dx
dy at x = 1 equal to

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(#M40026669) NDA QUESTION Mental Ability Keep an EYE

What is the range of the function
x
f (x) = | x | , x ≠ 0

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(#M40026668) NDA QUESTION Mental Ability Keep an EYE

If y = sin (ax + b), then what is d^2y/dx^2 at x = –b/a, where a, b are constants and a ≠ 0 ?

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(#M40026667) NDA QUESTION Mental Ability Keep an EYE

What is

lim (sin x- tan x)/x
equal to

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(#M40026666) NDA QUESTION Mental Ability Keep an EYE

Consider the following statements:
1.
x 0
lim
→
sin
x
1 does not exist.
2.
x 0
lim
→
x sin
x
1 exists.
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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(#M40026665) NDA QUESTION Mental Ability Keep an EYE

Consider the function
  
− ≤
>
=
3x 2, x 2
f (x) x , x 2
2
Which one of the following statements is correct in respect of the above function ?
(a) f(x) is derivable but not continuous at x = 2 (b) f(x) is continuous but not derivable at x = 2
(c) f(x) is neither continuous nor derivable at x = 2 (d) f(x) is continuous as well as derivable at x = 2

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