Recent questions tagged gate2018-ce-2

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For non-negative integers, $a, b, c$, what would be the value of $a+b+c$ if $\log a + \log b + \log c = 0$?$3$$1$$0$$-1$
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Given that $\dfrac{\log P}{y-z} = \dfrac{\log Q}{z-x} = \dfrac{\log R}{x-y} = 10$ for $x \neq y \neq z$, what is the value of the product $PQR$?$0$$1$$xyz$$10^{xyz}$
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A three-member committee has to be formed from a group of $9$ people. How many such distinct committees can be formed?$27$$72$$81$$84$
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"Although it does contain some pioneering ideas, one would hardly characterize the work as _____."innovativesimpledullboring
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"His face ____ with joy when the solution of the puzzle was ___ to him."The words that best fill the blanks in the above sentence areshone, shownshone, shoneshown, shone...
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Four bolts P, Q, R and S of equal diameter are used for a bracket subjected to a load of $130$ kN as shown in the figure.The force in bolt P is$32.50$ kN$69.32$ kN$82.50$...
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The rank of the following matrix is $\\ \begin{pmatrix} 1 & 1 & 0 & -2 \\ 2 & 0 & 2 & 2 \\ 4 & 1 & 3 & 1 \end{pmatrix}$$1$$2$$3$$4$
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