Recent questions tagged gate2018-ce-2

A faulty wall clock is known to gain $15$ minutes every $24$ hours. It is synchronized to the correct time at $9$ AM on $11$th July. What will be the correct time to the ...

The annual average rainfall in a tropical city is $1000$ mm. On a particular rainy day ($24$-hour period), the cumulative rainfall experienced by the city is shown in the...

In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. $4900$ for a deviation of $7$ units...

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$

Each of the letters in the figure below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that each of $(A+B+C), (C+D+E), (E+F+G)...

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}$

"Although it does contain some pioneering ideas, one would hardly characterize the work as _____."innovativesimpledullboring

"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...

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$

$\underbrace{a+a+a+ \dots +a}_{\text{n times}}=a^2b$ and $\underbrace{b+b+b+ \dots +b}_{\text{m times}} = ab^2$, where $a, b, n, m$ are natural numbers. What is the value...