Electronics and Communication Engineering
GATE ECE Quantitative Aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 52. Imported answers require independent review unless marked reviewed.
Question 3
Open questionGAMCQ1 markNeeds review
Five years ago, the ratio of Aman’s age to his father’s age was 1:4, and five years from now, the ratio will be 2:5. What was his father’s age when Aman was born?
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For a real number
,
The value of
isYour answerChoose one option.
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The greatest prime factor of
isYour answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
Four identical cylindrical chalk-sticks, each of radius
cm and length
cm, are bound tightly together using a duct tape as shown in the following figure. 
The width of the duct tape is equal to the length of the chalk-stick. The area (in cm
) of the duct tape required to wrap the bundle of chalk-sticks once, isYour answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index (BMI) in 2003 and 2023.
Based on the data provided, which one of the following options is INCORRECT?
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What is the smallest number with distinct digits whose digits add up to 45?
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Open questionGAMCQ1 markNeeds review
In a class of 100 students,
(i) there are 30 students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy movies, and
(iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?
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Open questionGAMCQ2 marksNeeds review
Which one of the following options represents the given graph?
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Open questionGAMCQ2 marksNeeds review
Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. The strategy is to:
(i) Collect saliva samples from all 1000 individuals and randomly group them into sets of 5.
(ii) Mix the samples within each set and test the mixed sample for covid.
(iii) If the test done in (ii) gives a negative result, then declare all the 5 individuals to be covid negative.
(iv) If the test done in (ii) gives a positive result, then all the 5 individuals are separately tested for covid.
Given this strategy, no more than ______ test kits will be required to identify all the 100 covid positive individuals irrespective of how they are grouped.
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Open questionGAMCQ1 markNeeds review
A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively.
If R gets ₹ 100 more than S, what is the share of Q (in ₹)?
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