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Frequently Asked Gate Latest Exam Pattern - Gate Sample Question with Solutions Page 84

(#M40019928) GATE QUESTION SET THEORY Keep an EYE

How we can find volume of a cube using pythagoras theorem .

Asked In Gate vignesh (12 years ago)

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(#M40019927) GATE QUESTION PARTIAL FRACTIONS Keep an EYE

The ratio of the measure of an interior angle of a regular hexagon to the measure of each of its exterior angle is :

(A) 2:1

(B) 1:2

Asked In Gate vignesh (12 years ago)

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(#M40019925) GATE QUESTION TRIGONOMETRY Keep an EYE

If (cosθ)^2 -(sinθ)^2=1/3, value of [(cosθ)^4-(sinθ)^4+1] is:
(A) 4/3
(B) 5/3

Asked In Gate vignesh (12 years ago)

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(#M40019922) GATE QUESTION DIFFERENTIAL EQUATIONS Keep an EYE

Solve: dy/dx =[x√(x^2-1) +y]/(√x^2-1)

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(#M40019921) GATE QUESTION TRIGONOMETRY Keep an EYE

If tan6θ=3/4 then find the value of 3/2cosec2θ+2sec2θ

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(#M40019919) GATE QUESTION PROBABILITY Keep an EYE

A drawer holds 4 red hats & 4 blue hats.what is the probability of getting exactly three red hats or exactly three lue hats when taking out 4 hats randomly out of the drqwer & immediately returning every hat to the drawer before taking out the next?

Asked In Gate vignesh (12 years ago)

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(#M40019918) GATE QUESTION DIFFERENTIAL EQUATIONS Keep an EYE

using the transformation x=r cosθ and y=r sinθ,find the singular solutionof the differential equation x+py=(x-y)(p2+1)½ where p=dy/dx

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(#M40019900) GATE QUESTION Limit Continuity and Differentiability Keep an EYE

let g(x) be the inverse of the function f(x), and f/(x) = 1/1+x3 then g/(x) equals

(1) 1/1+g3

(2) 1/1+f3

(3) 1+ g3

(4) 1+f3

Asked In Gate vignesh (12 years ago)

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(#M40019899) GATE QUESTION permutation and combination Keep an EYE

rank of the number 3241?(digits cannot be repeated)

Asked In Gate vignesh (12 years ago)

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(#M40019898) GATE QUESTION binomial theorem Keep an EYE

if x^y means x raised to the power y. find the last two digits of 2957^3661+3081^3643.

Asked In Gate vignesh (12 years ago)

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