# Recent questions tagged gate2017-ec-2

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 ___________
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 $R$
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
4
The number of $3$-digit numbers such that the digit $1$ is never to the immediate right of $2$ is $781$ $791$ $881$ $891$
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 $P$? $\text{P to Q}$ $\text{P to R}$ $\text{P to S}$ $\text{P to T}$
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
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 $P$? $\text{8 km, East}$ $\text{12 km, North}$ $\text{6k m, East}$ $\text{10 km, North}$
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
9
The ninth and the tenth of this month are Monday and Tuesday________. figuratively retrospectively respectively rightfully
10
It is ___________ to read this year’s textbook ________ the last year’s. easier, than most easy, than easier, from easiest, from
1 vote