GATE EC||GENERAL APTITUDE||PYQS(2000-2025)

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Question 1

The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?

  • 9,92,500

  • 9,95,006

  • 10,00,000

  • 12,51,506

Question 2

Hari (H). Gita (G). Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on I st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:

1. Hari’s age + Gita’s age > Irfan's age + Saira’s age.

2. The age difference between Gita and Saira is 1 year.

However, Gita is not the oldest and Saira is not the youngest.

3. There are no twins.

In what order were they born (oldest first)?

[GATE 2010 | 2 marks | MCQ]

  • HSIG

  • SGHI

  • IGSH

  • IHSG

Question 3

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is

[GATE 2010 | 1 marks | MCQ]

  • 2

  • 17

  • 13

  • 3

Question 4

5 skilled workers can build a wall in 20 days; 8 semiskilled workers can build a wall in 25 days;10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semiskilled and 5 unskilled workers. how long will it take to build the wall?

[GATE || 2010 || MCQ-2 marks]

  • 20 days

  • 18 days

  • 16 days

  • 15 days

Question 5

Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4-digit numbers greater than 3000 can be formed?

[ GATE CS || 2010 MCQ|| 2-mark ]

  • 50

  • 51

  • 52

  • 54

Question 6

There are two candidates P and Q in an election. During the campaign 40% of the voters promised to vote for P, and rest for Q. However, on the day of election 15% of the voters went back on their promise to vote for P and instead voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2 votes. then what was the total number of voters?

[GATE 2011 | 1 mark | MCQ]

  • 100

  • 110

  • 90

  • 95

Question 7

The fuel consumed by a motorcycle during a journey while travelling at various speeds is indicated in the graph below [GATE 2011 | 2 marks | MCQ]

Screenshot-2025-10-03-022701

The distance covered during four laps of the journey are listed in the table below.

Screenshot-2025-10-03-022712

From the given data, we can conclude that the fuel consumed per kilometer was least during the lap

[2011 || MCQ || 2 MARK]

  • P

  • Q

  • R

  • S

Question 8

Three friends, R, S and T shared toffee from a bowl, R took 1/3rd of the toffees but returned 4 toffees to the bowl. S took 1/4th of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees were originally there in the bowl?

[GATE 2011 | 2 marks | MCQ]

  • 38

  • 31

  • 48

  • 41

Question 9

Given that f(y) = |y|/y , and q is any non-zero real number, the value of |f(q) – f(–q) | is

[GATE 2011 | 2 marks | MCQ]

  • 0

  • -1

  • 1

  • 2

Question 10

The sum of n terms of the series 4 + 44 + 444 + .... is

[GATE 2011 | 2 marks | MCQ]

  • (4/81)[10n+1 - 9n -1)

  • (4/81)[10n-1 -9n -1)

  • (4/81)[10n+1 -9n -10)

  • (4/81)[10n -9n -10)

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