GATE XH-C5 Quantitative Aptitude PYQs & Answers — Page 2

Questions 11–20 of 35. Imported answers require independent review unless marked reviewed.

Given a series 5, 8, 11, 14, … If the nth term of the given series is 320, then n (where, n ≥ 1) is

Your answerChoose one option.

104

105

106

107

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Suppose, your last year taxable income was Rs. 2200. Due to hike in salary, your taxable income this year is Rs. 3400. The details for tax calculation are given in the table below.

Income range (Rs.)	Tax slab (Rs.)
0 to 5000	2 % of income
Greater than 5000 to 10000	100 + 3 % of income over 500
Greater than 1000 to 2000	250 + 5 % of income over 1000
Greater than 2000 to 3000	750 + 8 % of income over 2000
Greater than 3000 to 5000	1550 + 10 % of income over 3000
Greater than 5000 to 10000	3550 + 20 % of income over 5000

Consider the appropriate tax slab corresponding to your income. What is the additional amount of tax you need to pay this year compared to last year?

Your answerChoose one option.

190

1060

910

420

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In the following figure, four overlapping shapes (rectangle, triangle, circle, and hexagon) are given.

The sum of the numbers which belong to only two overlapping shapes is_______.

Diagram for Humanities and Social Sciences (Psychology) question 25

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Consider a square field ABCD. The diagonal AC is 50 meter. The cost of laying grass in the field is Rs. 5 per square-meter. The total cost for laying grass in the field ABCD is Rs. ______ (rounded off to two decimal places).

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In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is

Your answerChoose one option.

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For positive integers

and

, with

. Then,

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On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?

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Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people.

How many unique seating arrangements are possible such that each person is sitting next to their twin?

Your answerChoose one option.

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The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of 1000 hours (h).

Diagram for Humanities and Social Sciences (Psychology) question 8

The Capacity Factor of a power generation technology is:

Capacity Factor = Electricity Generation (MWh) / (Installed Capacity (MW) × 1000 (h))

Which one of the given technologies has the highest Capacity Factor?

Your answerChoose one option.

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During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the ratio of the Earth-Sun and Earth-Moon distances is closest to

Your answerChoose one option.

328

382

238

283

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GATE XH-C5 Quantitative Aptitude PYQs

Question 21

Question 22

Question 25

Question 26

Question 2

Question 3

Question 5

Question 7

Question 8

Question 10