Recent questions tagged gateme-2015-set3

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In the given figure $Q$ is a right triangle, $$PS:QS = 3:1$$ $$RT:QT = 5:2$$ $$PU:UR = 1:1$$ If area of triangle $QTS$ is $20$ $cm^2$, then the area of triangle $PQR$ in ...
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Tanya is older than Eric.Cliff is older than Tanya.Eric is older than Cliff. If the first two statements are true ,then the third statement is :TrueFalseUncertainDa...
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Fill the blank with the correct idiom/phrase.That boy from the town was ______________________ in the sleepy village.dog out of heardsheep from the heapfish out of waterb...
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Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:Apparent lifelessness _________ dormant life.harboursleads tos...
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Newton-Raphson method is used to find the roots of the equation, $x^3+3x^2+3x-1=0$. If the initial guess is $x_0=1$, then the value of $x$ after $2^{nd}$ iteration is ___...
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A cantilever bracket is bolted to a column using three M$12×1.75$ bolts P, Q and R. The value of maximum shear stress developed in the bolt P (in $MPa$) is ________
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The value of $\int_{C}^{ }[(3x-8y^2)dx+(4y-6xy)dy]$, (where $C$ is the boundary of the region bounded by $x$ = $0$, $y$ = $0$ and $x+y$ = $1$) is ________
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A solid sphere $1$ of radius ‘$r$’ is placed inside a hollow, closed hemispherical surface $2$ of radius ‘$4r$’. The shape factor $F_{2-1}$ is$1/12$$1/2$$2$$12$
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The value of $\displaystyle{\lim_{x\rightarrow 0}\left(\frac{-\sin x}{2\sin x+x\cos x}\right)}$ is ________