Sets Test

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Sets Test - 2

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Weekly Quiz Competition

Question 1

1 / -0

Match the following:

p. Natural numbers (N)	a. {1, 2, 3, …}
q. Whole numbers (W)	b. Integers - negative integers
r. Rational numbers (Q)	c. N ∪ W ∪ Integers ∪ Q
s. Real numbers (R)	d. W ∪ integers ∪ fractions ∪ negative fraction

p - b, q - a, r - d, s - c

p - b, q - a, r - c, s - d

p - a, q - b, r - d, s - c

none of these

Solution

p. Natural numbers (N) = a. {1, 2, 3, …}
q. Whole numbers (W) = b. Integers - negative integers
r. Rational numbers (Q) = d. W ∪ integers ∪ fractions ∪ negative fraction
s. Real numbers (R) = c. N ∪ W ∪ Integers ∪ Q

Question 2
1 / -0

If set A = {1, 6, 8, 9, 12} and set B = {3, 6, 9, 12}, then A ∩ B equals

A
{3, 6, 9, 12}

B
{6, 9, 12, 6, 9, 12}

C
{6, 9, 12}

D
{1, 6, 8, 9, 12}

Solution

Given set A = {1, 6, 8, 9, 12} and set B = {3, 6, 9, 12}
A ∩ B means the set of all those elements that belong to both A and B.
So,
A ∩ B = {6, 9, 12}
Question 3
1 / -0

If set A = {1, 6, 8, 9} and set B = {3, 6, 9, 12}, then A – B equals

A
(1, 9)

B
{–2, 0, –1, –3}

C
{2, 0, 1, 3}

D
{1, 8}

Solution

(A – B) means the set of all those elements of A which do not belong to set B.
So, A - B = {1, 8}
Question 4
1 / -0

Which of the following sets does not contain any element?

A
Set of all human beings that have put a step on the surface of the moon.

B
Set of all human beings who have travelled from New Delhi to New York.

C
Set of all those human beings that can live as long as they wish to.

D
Set of all the cricketers who have scored a duck in their first innings.

Solution

Only option (3) does not contain any element.
Question 5
1 / -0

Which of the following sets does not contain any element?

A
A set of all those rational numbers whose square is 4

B
A set of all the natural numbers which add up to zero

C
A set of all those rational numbers whose square is zero

D
A set of all those real numbers whose square is 17

Solution

There are no natural numbers which add up to zero.
Question 6
1 / -0

Consider a set A = {3, 15, 4, 7}. If we denote each element of set A as 'n', then which of the following sets represents the elements of the type '2n + 1'?

A
{7, 61, 9, 15}

B
{7, 31, 9, 15}

C
(7, 61, 9, 15)

D
{7, 31, 15, 29}

Solution

Put n = 3, 15, 4 and 7 in (2n + 1).

We get 7, 31, 9 and 15 respectively

So, required set = {7, 31, 9, 15}
Question 7
1 / -0

If set A = {– 3, 2, 3, 7} and we denote each element of set A as 'n', then which of the following sets represents the elements of the type 'n²'?

A
{– 9, 4, 49, 9}

B
{4, 9, 49}

C
(4, - 9, 49)

D
{9, 4, 9, 49}

Solution

Put n = - 3, 2, 3, 7 and find n²
Option (4) is rejected as per the definition of set(a set is a collection of distinct objects).
Question 8
1 / -0

If set A = {16, 4, 121, – 9} and we denote each element of set a as 'n', then which of the following sets represents the elements of the type 'n^1/2'?

A
{4, 2, 11, 3}

B
{4, 2, 11}

C
(4, 2, 11, 3)

D
None of these

Solution

Square root of – 9 = 3i

∴ ( 4 ,2, 11, 3i )

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Sets Test - 2

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Sets Test - 2

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Question 1

p - b, q - a, r - d, s - c

p - b, q - a, r - c, s - d

p - a, q - b, r - d, s - c

none of these

Solution

Question 2

{3, 6, 9, 12}

{6, 9, 12, 6, 9, 12}

{6, 9, 12}

{1, 6, 8, 9, 12}

Solution

Question 3

(1, 9)

{–2, 0, –1, –3}

{2, 0, 1, 3}

{1, 8}

Solution

Question 4

Set of all human beings that have put a step on the surface of the moon.

Set of all human beings who have travelled from New Delhi to New York.

Set of all those human beings that can live as long as they wish to.

Set of all the cricketers who have scored a duck in their first innings.

Solution

Question 5

A set of all those rational numbers whose square is 4

A set of all the natural numbers which add up to zero

A set of all those rational numbers whose square is zero

A set of all those real numbers whose square is 17

Solution

Question 6

{7, 61, 9, 15}

{7, 31, 9, 15}

(7, 61, 9, 15)

{7, 31, 15, 29}

Solution

Question 7

{– 9, 4, 49, 9}

{4, 9, 49}

(4, - 9, 49)

{9, 4, 9, 49}

Solution

Question 8

{4, 2, 11, 3}

{4, 2, 11}

(4, 2, 11, 3)

None of these

Solution

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