# GATE (Graduate Aptitude Test in Engineering) Aptitude: Questions 41 - 45 of 105

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## Question 41

Appeared in Year: 2015

### Question

MCQ▾

Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches?

### Choices

Choice (4)Response

a.

10

b.

8

c.

20

d.

5

## Question 42

Appeared in Year: 2015

### Question

MCQ▾

Given Set and Set two numbers are randomly selected one from each set. What is the probability that the sum of the 2 numbers equals 16?

### Choices

Choice (4)Response

a.

0.33

b.

0.20

c.

0.25

d.

0.3

## Question 43

Appeared in Year: 2021

### Question

MCQ▾

Five persons P, Q, R, S and T are sitting in a row not necessarily in the same order. Q and R are separated by one person, and S should not be seated adjacent to Q.

The number of distinct seating arrangements possible is:

### Choices

Choice (4)Response

a.

16

b.

10

c.

8

d.

4

## Question 44

Appeared in Year: 2013

### Question

MCQ▾

Select the pair that best expresses a relationship similar to that expressed in the pair:

### Choices

Choice (4)Response

a.

Wealth: Peace

b.

Money: Happiness

c.

Education: Knowledge

d.

Science: Experiment

## Question 45

Appeared in Year: 2016

### Question

MCQ▾

The binary operation is defined as , where and are any two real numbers. The value of the identity element of this operation, defined as the number such that , for any is

### Choices

Choice (4)Response

a.

1

b.

0

c.

2

d.

10

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