Chemistry
GATE CY Quantitative Aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 45. Imported answers require independent review unless marked reviewed.
Question 5
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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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The probability of a boy or a girl being born is 1/2. For a family having only three children, what is the probability of having two girls and one boy?
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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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What is the smallest number with distinct digits whose digits add up to 45?
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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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Which one of the following options represents the given graph?

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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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A sphere of radius
cm is packed in a box of cubic shape.What should be the minimum volume (in cm
) of the box that can enclose the sphere?Your answerChoose one option.
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Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute. P, Q and R operate at a constant rate.
If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, what is the capacity of the storage tank (in litres)?
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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
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A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7 or 8 as shown. Two such disks are used in a game where the arrows are independently spun.
What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?

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