GATE EC ||GENERAL APTITUDE ||QUANTITATIVE APTITUDE||PYQs(2000-2025)

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Question 1

1200 men and 500 women can build a bridge in 2 weeks; 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?

[GATE 2012 | 2 marks | MCQ]

  • 3000

  • 3300

  • 3600

  • 3900

Question 2

A super additive function f (.) satisfies the following property: f(x1 + x2 ) >= f(x1) + f(x2)

Which of the following functions is a super additive function for x > 1?

[GATE 2012 | 1 mark | MCQ]


  • e x

  • e -x

  • 1/x

  • √x

Question 3

The bar graph in Panel (a) shows the proportion of male and female illiterates in 2001 and 2011.The proportions of males and females in 2001 and 2011 are given in Panel (b) and (c), respectively. The total population did not change during this period. The percentage increase in the total number of literate from 2001 to 2011 is ___________.

Screenshot-2025-10-04-043210
Screenshot-2025-10-04-043225

[GATE 2012 | 2 marks | MCQ]

  • 33.43

  • 35.43

  • 34.43

  • 30.43

Question 4

Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the consultants. P stopped working when the hour hand moved by 210 degrees on the clock. Q stopped working when the hour hand moved by 240 degrees. P took two tea breaks of 15 minutes each during her shift but took no lunch break. Q took only one lunch break for 20 minutes, but no tea breaks. The market rate for consultants is USD 200 per hour and breaks are not paid. After paying the consultants, the client shall have USE _____ remaining in the budget.

[GATE 2012 | 2 marks | MCQ]

  • 000.00

  • 433.33

  • 166.67

  • 300.00

Question 5

It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is _______ hours.

[GATE 2012 | 1 mark | MCQ]


  • 2/3

  • 7/3

  • 4/3

  • 3/4

Question 6

Leila aspires to buy a car worth Rs. 10,00,000 after 5 years. What is the minimum amount in Rupees that she should deposit now in a bank which offers 10% annual rate of interest, if the interest was compounded annually?
[GATE 2012 | 2 marks | MCQ]

  • 5,00,000

  • 6,21,000

  • 6,66,667

  • 7,50,000

Question 7

Two alloys A and B contain gold and copper in the ratios of 2 : 3 and 3 : 7 by mass, respectively. Equal masses of alloys A and B are melted to make an alloy C. The ratio of gold to copper in alloy C is ___________.

[GATE 2012 | 2 marks | MCQ]

  • 5 : 10

  • 7 : 13

  • 6 : 11

  • 9 : 13

Question 8

A 1.5 m in tall person is standing at a distance of 3 m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters?

[GATE 2012 | 1 mark | MCQ]

  • 1.5

  • 3

  • 4.5

  • 6

Question 9

What is the value of

Screenshot-2025-10-04-030125

[GATE 2012 | 1 mark | MCQ]

  • 2

  • 7/4

  • 3/2

  • 4/3

Question 10

It is quarter past three in your watch. The angle between the hour hand and the minute hand

[GATE 2012 | 2 marks | MCQ]


  • 0°

  • 22.5°

  • 15°

  • 7.5°

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