Algebra Test

Result

Algebra Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

Let A = {4, 8, 16, 32, 64} and B = {1, 2, 3, 4, 5, 6, 7, 8} and R be the relation "is square of" from A to B. Which of the following represents relation R in roster form?

A
{(4, 2) (8, 4) (16, 8) (64, 8)}

B
{(4, 2), (16, 4), (64, 8)}

C
{(4, 8), (8, 8)}

D
{(4, 2), (8, 4), (16, 8), (32, 6), (64, 8)}

Solution

A = {4, 8, 16, 32, 64} B = {1, 2, 3, 4, 5, 6, 7, 8}
Roster form of R:
R = {(4, 2) (16, 4), (64, 8)}
Question 2
1 / -0

If M = {12, 13, 15, 17}, N = {6, 9, 11, 13, 15} and R is relation "divisible by" from P to Q, which of the following represents relation R.

A
{(2, 6) (12, 9) (13, 13) (15, 15)}

B
{(12, 6) (12, 9) (12, 15) (13, 13) (15, 15)}

C
{(12, 6) (13, 13) (15, 15)}

D
{(12, 9) (12, 15) (15, 15)}

Solution

M = {12, 13, 15, 17} and N = {6, 9, 11, 13, 15}
R = {(12, 6), (13, 13) (15, 15)} [As 12 is divisible by 6, 13 by 13 and 15 by 15]
Question 3
1 / -0

Which of the following is a function?

A
{(1, 1), (2, 3), (3, 3), (4, 5)}

B
{(1, 2), (1, 3), (2, 3)}

C
{(- 2, 4), (- 3, 5), (- 3, 2)}

D
{(1, 3), (2, 2), (3, 2), (4, 5), (1, 5)}

Solution

Option (1) is the mapping (function) because first elements are different and belong to unique elements.