GATE IN Quantitative Aptitude PYQs & Answers — Page 2

Questions 11–20 of 37. Imported answers require independent review unless marked reviewed.

Topic practice 37 questionsPage 2 of 4

Ankita has to climb 5 stairs starting at the ground, while respecting the following rules:

At any stage, Ankita can move either one or two stairs up.

At any stage, Ankita cannot move to a lower step.

Let

denote the number of possible ways in which Ankita can reach the

stair. For example,

The value of

is _____.

Your answerChoose one option.

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How many five-digit numbers can be formed using the integers 3, 4, 5 and 6 with exactly one digit appearing twice?

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A sphere of radius

cm is packed in a box of cubical 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)?

Your answerChoose one option.

26.8

60.0

120.0

127.5

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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 their 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?

Diagram for Instrumentation Engineering question 7

Your answerChoose one option.

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Consider the following inequalities.

(i)

(ii)

Which one of the following expressions below satisfies the above two inequalities?

Your answerChoose one option.

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In a company, 35% of the employees drink coffee, 40% of the employees drink tea and 10% of the employees drink both tea and coffee. What % of employees drink neither tea nor coffee?

Your answerChoose one option.

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⊕ and ⊙ are two operators on numbers

and

such that

and

. If

, then

Your answerChoose one option.

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A function

is defined by

The value of the expression

is:

Your answerChoose one option.

−1

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The sum of the first

terms in the sequence 8, 88, 888, 8888, ... is _____.

Your answerChoose one option.

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GATE IN Quantitative Aptitude PYQs

Question 7

Question 49

Question 2

Question 3

Question 7

Question 8

Question 3

Question 4

Question 9

Question 8