# Recent questions tagged gate2016-ec-3

1
A shipping clerk has to weigh 10 distinct packets. He weighs them four at a time, weighing all the possible combinations of the packets from the ten. The average weight of all the weighing combination is found to be 800 gm. What is the combined weight of all the size packets?
2
A straight line is fit to a data set (ln $x, y$). This line intercepts the abscissa at ln $x = 0.1$ and has a slope of $-0.02$. What is the value of y at $x = 5$ from the fit? $-0.030$ $-0.014$ $0.014$ $0.030$
3
Find the area bounded by the lines $3x + 2y=14, 2x - 3y = 5$ in the first quadrant. $14.95$ $15.25$ $15.70$ $20.35$
4
A flat is shared by four first year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat? Manu Sravan Trideep Pavan
5
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating $70$% of pets and stray dogs against rabies can lead to a significant reduction in the number of ... . Rabies can be eradicated in India by vaccinating $70$% of stray dogs. Stray dogs are the main source of rabies worldwide.
6
The velocity $V$ of a vehicle along a straight line is measured in $m/s$ and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will the odometer reading increase by (in m)? $0$ $3$ $4$ $5$
7
It takes $10$ s and $15$ s, respectively, for two trains travelling at different constant speeds to completely pass a telegraph post. The length of the first train is $120$ m and that of the second train is $150$ m. The magnitude of the difference in the speeds of the two trains (in $m/s$) is ____________. $2.0$ $10.0$ $12.0$ $22.0$
8
The number that least fits this set: $(324$, $441$, $97$ and $64)$ is ________. $324$ $441$ $97$ $64$
An apple costs Rs. $10$. An onion costs Rs. $8$. Select the most suitable sentence with respect to grammar and usage. The price of an apple is greater than an onion. The price of an apple is more than onion. The price of an apple is greater than that of an onion. Apples are more costlier than onions.