GATE CS 2020
Question 1 |
during, for | |
for, since | |
for, in | |
within, for |
Discuss it
- We use 'since' to refer back to a previous point in time. We use 'since' as a preposition with a date, a time or a noun phrase.
- We use 'for' with a period of time to refer to duration (how long something lasts).
Question 2 |
extremely poor | |
good | |
desirable | |
praiseworthy |
Discuss it
Question 3 |
Cook : Cook :: Fly : _______
Flyer | |
Flying | |
Flew | |
Flighter |
Discuss it
Verb : NounOne who cooks is a cook and one who flies any aircraft is a flyer. Option (A) is correct.
Question 4 |
The dawn of the 21st century witnessed the melting glaciers oscillating between giving too much and too little to billions of people who depend on them for fresh water. The UN climate report estimates that without deep cuts to man-made emissions, at least 30% of the northern hemisphereโs surface permafrost could melt by the end of the century. Given this situation of imminent global exodus of billions of people displaced by rising seas, nation-states need to rethink their carbon footprint for political concerns, if not for environmental ones.
Which one of the following statements can be inferred from the given passage ?
Nation-states do not have environmental concerns. | |
Nation-states are responsible for providing fresh water to billions of people. | |
Billions of people are responsible for man-made emissions. | |
Billions of people are affected by melting glaciers. |
Discuss it
Option (D) clearly explains the second last line of the passage.
Question 5 |

1โaโcโ2 | |
1โfโbโ2 | |
1โbโ2 | |
1โfโeโ2 |
Discuss it
200 + 200 + 100 + 100 + 100 = 700
(B) Cost of 1-f-b-2 :
100 + 100 + 0 + 100 +200 = 500
(C) Cost of 1-b-2 :
300 + 100 + 200 = 600
(D) Cost of 1-f-e-2 :
100 + 100 + 100 + 200 + 200 = 700
Hence, 1-f-b-2 is having minimum cost.
Option (B) is correct.
Question 6 |
Which one of the following statements can be inferred from the given passage ?
GST is imposed on the production of goods and services. | |
GST includes all indirect taxes. | |
GST does not have a component specific to UT. | |
GST is imposed at the point of usage of goods and services. |
Discuss it
Question 7 |
If values of P=3, R=27, T=243, then find the value of Q+S = ________ .
40 | |
80 | |
90 | |
180 |
Discuss it
Given, sequence is in n-th power of 3. Starting from n=1 and position 'P' alphabetically order.
P = 31 = 3 Q = 32 = 9 R = 33 = 27 S = 34 = 81 T = 35 = 243
Therefore,
Q+S = 9+81 = 90
Option (C) is correct.
Question 8 |

ฯ[(b2โa2)โ(n/4)(bโa)2] | |
ฯ[(b2โa2)โn(bโa)2] | |
ฯ[(b2โa2)+(n/4)(bโa)2] | |
ฯ[(b2โa2)+n(bโa)2] |
Discuss it
= ฯ((b-a)/2)2Hence, area of n blue circles,
= nฯ((b-a)/2)2Now, Area of annular ring
= ฯb2 โ ฯa2Now, answer is, Unpainted area:
= (Area of annular ring) โ (Area of n blue color circles) = ( ฯb2 โ ฯa2 ) - ( nฯ((b-a)/2)2 ) = ฯ( b2 โ a2 ) - ฯ( (n/4)(b-a)2 ) = ฯ[(b2โa2)โ(n/4)(bโa)2]Option (A) is correct.
Question 9 |
60ยฐ | |
90ยฐ | |
120ยฐ | |
180ยฐ |
Discuss it

โ โ a + โ b + โ c = 180ยฐ โ ฮฑ + ฮฒ + 90ยฐ = 180ยฐ โ ฮฑ + ฮฒ = 180ยฐ - 90ยฐ = 90ยฐ โ ฮฑ + ฮฒ = 90ยฐOption (B) is correct.
Question 10 |

16.67% profit | |
16.67% loss | |
20% profit | |
20% loss |
Discuss it
= 500 million/year = 500 ร 5 = 2500 millionNow, Revenue total (from the graph),
= 400 + 500 + 600 + 700 + 800 = 3000 millionTherefore, Profit,
= 3000 - 2500 = 500Profit (in percentage),
= (500/2500)*100 % = 20 % profitOption (C) is correct.