# Recent questions tagged gate2014-ae

1
The monthly rainfall chart based on $50$ years of rainfall in Agra is shown in the following figure. Which of the following are true? (k percentile is the value such that k percent of the data fall below that value) On average, it rains more in July than in December Every year, the amount of ... , there is at least $500$ mm of rainfall (i) and (ii) (i) and (iii) (ii) and (iii) (iii) and (iv)
2
One percent of the people of country $X$ are taller than $6$ ft. Two percent of the people of country $Y$ are taller than $6$ ft. There are thrice as many people in country $X$ as in country $Y.$ Taking both countries together, what is the percentage of people taller than $6$ ft? $3.0$ $2.5$ $1.5$ $1.25$
3
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is $3:4:5:6.$ The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?
4
Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered $1$, the floor above it $2$, and so on) Anuj lives on an even-numbered floor, Bhola does not live on an odd numbered floor. Chandan does not live on any of the floors below ...
5
Find the odd one in the following group: $\text{ALRVX, EPVZB, ITZDF,OYEIK}$ $\text{ALRVX}$ $\text{EPVZB}$ $\text{ITZDF}$ $\text{OYEIK}$
6
A foundry has a fixed daily cost of $\text{Rs} \ 50,000$ whenever it operates and a variable cost of $\text{RS} \ 800 Q$,where $Q$ is the daily production in tonnes. What is the cost of production in $\text{Rs}$ per tonne for a daily production of $100$ tonnes.
7
If $y=5x^2+3$, then the tangent at $x=0$, $y=3$ passes through $x=0,y=0$ has a slope of $+1$ is parallel to the $x$-axis has a slope of $-1$