GATE XH-C5 Quantitative Aptitude PYQs & Answers

Questions 1–10 of 35. Imported answers require independent review unless marked reviewed.

As shown in the figure, circle

with center

and radius

touches the square

at points

and

while circle

with center

and radius

touches the square

at points

and

. The two circles touch each other at

Given

and

_____ cm.

Diagram for Humanities and Social Sciences (Psychology) question 10

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The 12 musical notes are given as

, and

. Frequency of each note is

times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes

and C is:

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after ‘Iteration

’ is:

Note: The figures shown are representative.

Iteration 0: a straight segment of length 1. Iteration 1: a stepped curve with 4 segments, each of length

. Iteration 2: a stepped curve with 16 segments, each of length

Diagram for Humanities and Social Sciences (Psychology) question 4

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Which one of the following plots represents

, where

is a non-zero real number?

Note: The figures shown are representative.

Your answerChoose one option.

Diagram for Humanities and Social Sciences (Psychology) question 5

Diagram for Humanities and Social Sciences (Psychology) question 5 (figure 2)

Diagram for Humanities and Social Sciences (Psychology) question 5 (figure 3)

Diagram for Humanities and Social Sciences (Psychology) question 5 (figure 4)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A stick of length one meter is broken at two locations at distances of

and

from the origin (0), as shown in the figure. Note that

. Which one of the following is NOT a necessary condition for forming a triangle using the three pieces?

Note: All lengths are in meter. The figure shown is representative.

Diagram for Humanities and Social Sciences (Psychology) question 7

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze medals won by them. Based only on the data provided in the table, which one of the following statements is INCORRECT?

Nation	Gold	Silver	Bronze
USA	40	44	41
Canada	39	27	24
Japan	20	12	13
Australia	17	19	16
France	16	26	22

Your answerChoose one option.

France will occupy the third place if the list were made on the basis of the total number of medals won.

The order of the top two nations will not change even if the list is made on the basis of the total number of medals won.

USA and Canada together have less than 50% of the medals awarded to the nations in the above table.

Canada has won twice as many total medals as Japan.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20% of the consulting fee, if the fee is up to ₹ 5,00,000. For higher fees, the overhead is ₹ 1,00,000 plus 10% of the amount by which the fee exceeds ₹ 5,00,000. The government charges a Goods and Service Tax of 18% on the total amount (the consulting fee plus the overhead). An employee of the organization charges this entire amount, i.e. the consulting fee, overhead, and tax, to the client. If the client cannot pay more than ₹ 10,00,000, what is the maximum consulting fee that the employee can charge?

Your answerChoose one option.

₹ 7,01,438

₹ 7,24,961

₹ 7,51,232

₹ 7,75,784

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A car started from city P at 9.40am. The time taken for the car to reach the city Q is 4 hours and 50 minutes.

The time of arrival of the car at city Q is

Your answerChoose one option.

15:10 Hours

14:20 Hours

14:30 Hours

14:10 Hours

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The table shows the data of 450 candidates who appeared in the examination of three subjects – Social Science, Mathematics, and Science.

Particulars	Number of candidates
Passed in all the three subjects	167
Failed in all the three subjects	60
Failed in Social Science subject	175
Failed in Mathematics subject	199
Failed in Science subject	191
Passed in only Social Science subject	62
Passed in only Mathematics subject	48
Passed in only Science subject	52

How many candidates have passed in at least one subject?

Your answerChoose one option.

162

390

425

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

If × means +, + means ÷, − means ×, and ÷ means −, then 8 × 7 − 8 + 40 ÷ 2 =

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE XH-C5 Quantitative Aptitude PYQs

How to practice Quantitative Aptitude

Question 10

Question 3

Question 4

Question 5

Question 7

Question 9

Question 10

Question 16

Question 19

Question 20