Environmental Science and Engineering
GATE ES Quantitative Aptitude PYQs
Build your understanding with focused practice from past exam papers.
How to practice Quantitative Aptitude
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 22. Imported answers require independent review unless marked reviewed.
Question 10
Open questionGAMCQ2 marksNeeds review
Circles
,
, and
, with centers
,
, and
, and radii
,
, and
, respectively, touch each other as shown in the following figure. Given
cm,
cm and the angle
is
,
_____ cm. 
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
A 4 × 4 digital image has pixel intensities (
) as shown in the figure. The number of pixels with
is: 
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 5
Open questionGAMCQ1 markNeeds review
A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all values of L and W?
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 7
Open questionGAMCQ2 marksNeeds review
Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then it monotonically decreases. Let
and
(in years) denote the ages of the brothers and
.Which one of the following statements is correct about their age on the day when they attain the same weight?
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 9
Open questionGAMCQ2 marksNeeds review
If a real variable
satisfies
, then the value of
is:Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 10
Open questionGAMCQ2 marksNeeds review
The number of patients per shift (
) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns per shift is ₹ 1000(
), what is the average amount (in ₹) she has earned per shift in the past 100 shifts?Note: The figure shown is representative.
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 62
Open questionESNAT2 marksNeeds review
A street sweeping machine starts from point P and ends at S, as shown in the network of streets below. It sweeps all the streets at least once.
Length of the streets, in km, are shown on the network. The minimum distance travelled by the sweeping machine for completing the job of sweeping all the streets is ______ km. (round off to nearest integer)
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 3
Open questionGAMCQ1 markNeeds review
How many 4-digit positive integers divisible by 3 can be formed using only the digits , such that no digit appears more than once in a number?
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 5
Open questionGAMCQ1 markNeeds review
In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid.
Based on the data provided, the total number of valid votes received by the candidates B and C is
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 8
Open questionGAMCQ2 marksNeeds review
Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table.
| Mutual fund A | Mutual fund B | Mutual fund C |
|---|---|---|---|
Person 1 | ₹10,000 | ₹20,000 | ₹20,000 |
Person 2 | ₹20,000 | ₹15,000 | ₹15,000 |
At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15% each. What is the annual rate of return for the mutual fund A?
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