GATE CE 2018 Set 1
General Aptitude
1
"The driver applied the _______ as soon as she approached the hotel where she wanted to
take a ________."
The words that best fill the blanks in the above sentence are
The words that best fill the blanks in the above sentence are
2
"It is no surprise that every society has had codes of behaviour; however, the nature of
these codes is often _________."
The word that best fills the blank in the above sentence is
The word that best fills the blank in the above sentence is
3
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 of tower B, at what distance (in meters) from tower A will the rope
intersect the skywalk?
4
The price of a wire made of a superalloy 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 lengths 4 m and 6m?
5
A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he
would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller?
6
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?
7
The temperature T in a room varies as a function of the outside temperature T0 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 $$\Theta $$ given the following data?
8
Which of the following function(s) is an accurate description of the graph for the range(s)
indicated?
$$\eqalign{
& (i)\,\,y = 2x + 4\,for\, - 3 \le x \le - 1 \cr
& (ii)\,y = \,|x - 1|\,for\, - 1 \le x \le 2 \cr
& (iii)\,y = \,\left| {\left| x \right| - 1} \right|\,for\, - 1 \le x \le 2 \cr
& (iv)\,y = 1\,for\,2 \le x \le 3 \cr} $$
9
Consider a sequence of numbers $${a_1},{a_2},{a_3},....,{a_n}$$ where $${a_n} = {1 \over n} - {1 \over {n + 2}}$$, for each integer
n > 0. What is the sum of the first 50 terms?
10
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?