# Recent questions tagged gate2018-ce-1 1 vote
1
A fruit seller sold a basket of fruits at $\text{12.5%}$ loss. Had he sold it for Rs. $108$ more, he would have made a $\text{10%}$ gain. What is the loss in Rupees incurred by the fruit seller? $48$ $52$ $60$ $108$
2
Which of the following function(s) is an accurate description of the graph for the range(s) indicated? $y=2x+4 \text{ for } -3 \leq x \leq -1$ $y= \mid x-1 \mid \text{ for } -1 \leq x \leq 2$ $y= \mid\mid x \mid -1 \mid \text{ for } -1 \leq x \leq 2$ $y=1 \text{ for } 2 \leq x \leq 3$ i, ii and iii only i, ii and iv only i and iv only ii and iv only
1 vote
3
The price of a wire made of a super alloy material is proportional to the square of its length. The price of $10 m$ length of the wire is Rs. $1600$. What would be the total price (in Rs.) of two wires of length $4m$ and $6m$ ? $768$ $832$ $1440$ $1600$
1 vote
4
Consider a sequence of numbers $a_1, a_2, a_3, \dots , a_n$ where $a_n = \frac{1}{n}-\frac{1}{n+2}$, for each integer $n>0$. Whart is the sum of the first 50 terms? $\left( 1+ \frac{1}{2} \right) - \frac{1}{50}$ $\left( 1+ \frac{1}{2} \right) + \frac{1}{50}$ $\left( 1+ \frac{1}{2} \right) - \left( \frac{1}{51} + \frac{1}{52} \right)$ $1 - \left( \frac{1}{51} + \frac{1}{52} \right)$
1 vote
5
Tower $A$ is $90 \ m$ tall and tower $B$ is $140 \ m$ tall. They are $100 \ m$ apart. A horizontal skywalk connects the floors at $70 \ m$ in both the towers. If a taut rope connects the top of tower $A$ to the bottom tower $B,$ at what distance (in meters) from tower $A$ will the rope intersect the skywalk$?$
1 vote
6
The temperature $T$ in a room varies as a function of the outside temperature $T_0$ and the number of persons in the room $p$, according to the relation $T=K(\theta p +T_0)$, where $\theta$ and $K$ are constants. What would be the value of $\theta$ ... $} \\\hline \text{$30$} & \text{$5$} & \text{$42.0$} \\\hline \end{array}$ 0.8 1.0 2.0 10.0
7
Hema's age is $5$ years more than twice Hari's age. Suresh's age is $13$ years less than 10 times Hari's age. If Suresh is $3$ times as old as Hema, how old is Hema? $14$ $17$ $18$ $19$
Each of the letters arranged as below represents a unique integer from $1$ to $9.$ The letters are positioned in the figure such that $(A \times B \times C), (B \times G \times E)$ and $(D \times E \times F)$ are equal. Which integer among the following choices cannot be represented by the letters $A, B, C, D, E, F \ or \ G?$ A D B G E C F $4$ $5$ $6$ $9$