2025
GATE CE 2025 Set 2GATE CE 2025 Set 12024
GATE CE 2024 Set 2GATE CE 2024 Set 12023
GATE CE 2023 Set 2GATE CE 2023 Set 12022
GATE CE 2022 Set 2GATE CE 2022 Set 12018
GATE CE 2018 Set 2GATE CE 2018 Set 12017
GATE CE 2017 Set 2GATE CE 2017 Set 12016
GATE CE 2016 Set 2GATE CE 2016 Set 12015
GATE CE 2015 Set 1GATE CE 2015 Set 22014
GATE CE 2014 Set 2GATE CE 2014 Set 12013
GATE CE 20132012
GATE CE 20122011
GATE CE 20112010
GATE CE 20102009
GATE CE 20092008
GATE CE 20082007
GATE CE 20072006
GATE CE 20062005
GATE CE 20052004
GATE CE 20042003
GATE CE 20032002
GATE CE 20022001
GATE CE 20012000
GATE CE 20001999
GATE CE 19991998
GATE CE 19981997
GATE CE 19971996
GATE CE 19961995
GATE CE 19951994
GATE CE 19941993
GATE CE 19931992
GATE CE 19921991
GATE CE 19911990
GATE CE 19901989
GATE CE 19891988
GATE CE 19881987
GATE CE 1987GATE CE 2018 Set 2
Paper was held on Thu, Jan 1, 1970 12:00 AM
1
"His face ___________ with joy when the solution of the puzzle was _______ to him."
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
"Although it does contain some pioneering ideas, one would hardly characterize the work
as _________."
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
$$\underbrace {{\rm{a}}\,{\rm{ + }}\,{\rm{a}}\,{\rm{ + }}\,{\rm{a}}\,{\rm{ + }}\,.......\,{\rm{ + }}\,{\rm{a}}}_{{\rm{n}}\,{\rm{times}}} = {a^2}b$$ and $$\underbrace {b\,{\rm{ + }}\,b\,{\rm{ + }}\,b\,{\rm{ + }}\,.......\,{\rm{ + }}\,b}_{m\,\,{\rm{times}}} = a{b^2}$$, where a, b, n and m are
natural numbers. What is the value of $$\left( {\underbrace {b\,{\rm{ + }}\,b\,{\rm{ + }}\,b\,{\rm{ + }}\,.......\,{\rm{ + }}\,b}_{n\,\,{\rm{times}}}} \right)\left( {\underbrace {a\,{\rm{ + }}\,a\,{\rm{ + }}\,a\,{\rm{ + }}\,.......\,{\rm{ + }}\,a}_{m\,\,{\rm{times}}}} \right)$$?
4
A three-member committee has to be formed from a group of 9 people. How many such
distinct committees can be formed?
5
In manufacturing industries, loss is usually taken to be proportional to the square of the
deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the
loss in Rupees for a deviation of 4 units from the target?
6
For non-negative integers, a, b, c, what would be the value of a + b + c if
$$$\log \,a\, + \,\log \,b\, + \,\log \,c\, = \,0?$$$
7
A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the
correct time at 9 AM on 11th July. What will be the correct time to the nearest minute when
the clock shows 2 PM on 15th July of the same year?
8
The annual average rainfall in a tropical city is 1000 mm. On a particular rainy day
(24-hour period), the cumulative rainfall experienced by the city is shown in the graph.
Over the 24-hour period, 50% of the rainfall falling on a rooftop, which had an obstruction-free
area of 50 m2, was harvested into a tank. What is the total volume of water collected in
the tank in liters?


9
Each of the letters in the figure below represents a unique integer from 1 to 9. The letters
are positioned in the figure such that each of (A+B+C), (C+D+E), (E+F+G) and (G+H+K)
is equal to 13. Which integer does E represent?


10
Given that $${{\log \,P} \over {y - z}} = {{\log \,Q} \over {z - x}} = {{\log \,R} \over {x - y}} = 10$$ for $$x \ne y \ne z$$, what is the value of the product
PQR?