Recent questions tagged gate2017-ec-2

3 votes
1 answer
1
Consider the random process: $X\left ( t \right )=U+Vt$ where $U$ is zero-mean Gaussian random variable and $V$ is a random variable uniformly distributed between $0$ and $2.$ Assume $U$ and $V$ statistically independent. The mean value of random process at $t=2$ is ___________
3 votes
1 answer
2
Each of $P, Q, R, S, W, X, Y$and $Z$ has been married at most once. $X$ and $Y$ are married and have two children $P$ and $Q. Z$ is the grandfather of the daughter $S$ of $P$. Further, $Z$ and $W$ are married and are parents of $R$. Which one of the following must ... mother-in-law of $R$ $P$ and $R$ are not married to each other $P$ is a son of $X$ and $Y$ $Q$ cannot be married to $R$
0 votes
2 answers
3
$1200$ men and $500$ women can build a bridge in $2$ weeks. $900$ men and $250$ women will take $3$ weeks to build the same bridge. How many men will be needed to build the bridge in one week? $3000$ $3300$ $3600$ $3900$
1 vote
1 answer
4
The number of $3$-digit numbers such that the digit $1$ is never to the immediate right of $2$ is $781$ $791$ $881$ $891$
2 votes
1 answer
5
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ m intervals in this plot. Which of the following is the steepest path leaving from $P$? $\text{P to Q}$ $\text{P to R}$ $\text{P to S}$ $\text{P to T}$
0 votes
2 answers
6
A rule states that in order to drink beer, one must be over $18$ years old. In a bar, there are $4$ people. $P$ is $16$ years old. $Q$ is $25$ years old. $R$ is drinking milkshake and $S$ ... and $\text{S's}$ age Only $\text{S's}$ age Only $\text{P's}$ drink, $\text{Q's}$ drink and $\text{S's}$ age
2 votes
1 answer
7
Fatima starts from point $P$, goes North for $3$ km, and then East for $4$ km to reach point $Q$. She then turns to face point $P$ and goes $15$ km in that direction. She then goes North for $6$ km. How far is she from point $P$, and in which direction should she go to reach point $P$? $\text{8 km, East}$ $\text{12 km, North}$ $\text{6k m, East}$ $\text{10 km, North}$
0 votes
2 answers
8
$500$ students are taking one or more course out of Chemistry, Physics, and Mathematics. Registration records indicate course enrollment as follows: Chemistry $(329)$, Physics $(186)$, and Mathematics $(295)$. Chemistry and Physics $(83)$, Chemistry and Mathematics $(217)$, and Physics and Mathematics (63). How many students are taking all $3$ subjects? $37$ $43$ $47$ $53$
1 vote
1 answer
9
The ninth and the tenth of this month are Monday and Tuesday________. figuratively retrospectively respectively rightfully
0 votes
1 answer
10
It is ___________ to read this year’s textbook ________ the last year’s. easier, than most easy, than easier, from easiest, from
1 vote
2 answers
11
If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for all reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will ... with an impartial perspective. An intimate association offers an impartial perspective. Actors are typically associated with the impartial recording of matters.
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