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Sets, Relations and Functions - 1 - Question 1

The relation R defined in A = {1, 2, 3} by aRb if |a^{2} – b^{2}| ≤ 5. Which of the following is false

Detailed Solution for Sets, Relations and Functions - 1 - Question 1

Sets, Relations and Functions - 1 - Question 2

Let R : A → A, A is set of all children in a family such that x R ⇒ y x is brother of ‘y’ (where x, y ∈ A), then R is-

Detailed Solution for Sets, Relations and Functions - 1 - Question 2

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Sets, Relations and Functions - 1 - Question 3

A relation R is defined from {2, 3, 4, 5} to {3, 6, 7, 10} by xRy ⇔ x is relatively prime to y. Then domain of R is

Detailed Solution for Sets, Relations and Functions - 1 - Question 3

Sets, Relations and Functions - 1 - Question 4

If R is relation from a set A to a set B and S is a relation from B to C, then the relation S o R

Detailed Solution for Sets, Relations and Functions - 1 - Question 4

Sets, Relations and Functions - 1 - Question 5

Let A = {1, 2, 3, 4}, and let R = {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then R is-

Detailed Solution for Sets, Relations and Functions - 1 - Question 5

Sets, Relations and Functions - 1 - Question 6

If R is a relation from a finite set A having m elements to a finite set B having n elements, then the number of relations from A to B is-

Detailed Solution for Sets, Relations and Functions - 1 - Question 6

Sets, Relations and Functions - 1 - Question 7

Given the relation R = {(2, 3), (3,4)} on the set {2, 3, 4}. The number of minimum number of ordered pairs to be added to R so that R is reflexive and symmetric –

Detailed Solution for Sets, Relations and Functions - 1 - Question 7

Sets, Relations and Functions - 1 - Question 8

Let R and S be two equivalence relations on a set A. Then

Detailed Solution for Sets, Relations and Functions - 1 - Question 8

Detailed Solution for Sets, Relations and Functions - 1 - Question 9

Sets, Relations and Functions - 1 - Question 10

An integer m is said to be related to another integer n if m is a multiple of n. Then, the relation is

Detailed Solution for Sets, Relations and Functions - 1 - Question 10

Sets, Relations and Functions - 1 - Question 11

Let R be the relation on the set of all real numbers defined by aRb iff | a – b | ≤ 1. Then, R is

Detailed Solution for Sets, Relations and Functions - 1 - Question 11

Sets, Relations and Functions - 1 - Question 12

Let R be the real line. Consider the following subsets of the plane R × R :

S = {(x, y): y = x + 1 and 0 < x < 2}

T = {(x, y) : x – y is an integer}.

Which one of the following is true ?

Detailed Solution for Sets, Relations and Functions - 1 - Question 12

Sets, Relations and Functions - 1 - Question 13

Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball of the total , 64 played both basketball and hockey, 80 played cricket and basketball and 40 played cricket and hockey, 24 played all the three games. The number of boys who play only cricket is

Detailed Solution for Sets, Relations and Functions - 1 - Question 13

Sets, Relations and Functions - 1 - Question 14

Let R {(3, 3), (6, 6), (9, 9), (12, 12) (6, 12) (3, 9) (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12}. The relation is -

Detailed Solution for Sets, Relations and Functions - 1 - Question 14

Sets, Relations and Functions - 1 - Question 15

Let R be a relation defined in the set of real numbers by a R b ⇔ 1 + ab > 0. Then R is-

Detailed Solution for Sets, Relations and Functions - 1 - Question 15

Sets, Relations and Functions - 1 - Question 16

The minimum number of elements that must be added to the relation R = {(1, 2), (2, 3)} on the set {1,2,3}, so that it is equivalence is-

Detailed Solution for Sets, Relations and Functions - 1 - Question 16

Sets, Relations and Functions - 1 - Question 17

Let W denote the words in the English dictionary. Define the relation R by

R = {(x,y) ∈ W × W | the words x and y have atleast one letter in common |

Then R is

Detailed Solution for Sets, Relations and Functions - 1 - Question 17

Sets, Relations and Functions - 1 - Question 18

Let W denote the words in the English dictionary. Define the relation R by : R = {(x, y) ∈ W × W | the words x and y have at least one letter in common}. Then R is –

Detailed Solution for Sets, Relations and Functions - 1 - Question 18

Sets, Relations and Functions - 1 - Question 19

Let R and S be two non-void relations on a set A. Which of the following statements is false?

Detailed Solution for Sets, Relations and Functions - 1 - Question 19

Sets, Relations and Functions - 1 - Question 20

For real numbers x and y, we write x R y ⇔ x – y + √2 is an irrational number. Then the relation R is -

Detailed Solution for Sets, Relations and Functions - 1 - Question 20

Sets, Relations and Functions - 1 - Question 21

The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(x, y) : | x^{2} – y^{2} | < 16} is given by

Detailed Solution for Sets, Relations and Functions - 1 - Question 21

Sets, Relations and Functions - 1 - Question 22

Let R be a relation on the set N defined by {(x, y): x, y ∈ N and 2x + y = 41}. Then R is

Detailed Solution for Sets, Relations and Functions - 1 - Question 22

Sets, Relations and Functions - 1 - Question 23

The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on the set A = {1, 2, 3} is -

Detailed Solution for Sets, Relations and Functions - 1 - Question 23

Sets, Relations and Functions - 1 - Question 24

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a releation on the set A = {1, 2, 3, 4}. The relation R is-

Detailed Solution for Sets, Relations and Functions - 1 - Question 24

Sets, Relations and Functions - 1 - Question 25

Let A = {2, 3, 4, 5} and let

R = {(2, 2), (3, 3), (4, 4), (5, 5), (2, 3), (3, 2), (3, 5), (5, 3)} be a relation in A. Then R is -

Detailed Solution for Sets, Relations and Functions - 1 - Question 25

Sets, Relations and Functions - 1 - Question 26

The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on the set A = {1, 2, 3} is -

Detailed Solution for Sets, Relations and Functions - 1 - Question 26

Detailed Solution for Sets, Relations and Functions - 1 - Question 27

Sets, Relations and Functions - 1 - Question 28

The relation "less than" in the set of natural numbers is

Detailed Solution for Sets, Relations and Functions - 1 - Question 28

Detailed Solution for Sets, Relations and Functions - 1 - Question 29

Sets, Relations and Functions - 1 - Question 30

Let N denote the set of all natural numbers and R be the relation on N × N defined by (a, b) R (c, d) if ad (b + c) = bc (a + d), then R is-

Detailed Solution for Sets, Relations and Functions - 1 - Question 30

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