MHT-CET

Relations and Functions question bank (Mathematics)

Practice 12 free MHT-CET Mathematics - Relations and Functions questions with answers and step-by-step solutions.

Q1.

Let $A = \{a, b, c, d\}$ and $B = \{1, 2, 3\}$. The relations $R_1, R_2, R_3, R_4$ are defined as follows:
$R_1 = \{(a, 1), (b, 2), (c, 1), (d, 2)\}$
$R_2 = \{(a, 1), (b, 1), (c, 1), (d, 1)\}$
$R_3 = \{(a, 2), (b, 3), (c, 2), (d, 2)\}$
$R_4 = \{(a, 1), (b, 2), (a, 2), (d, 3)\}$
Which of the following is true?

(A)
Only $R_3$ and $R_4$ are not functions
(B)
Only $R_1$ and $R_2$ are not functions
(C)
Only $R_3$ is not a function
(D)
Only $R_4$ is not a function
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Q2.

If $R = \{(a, b) : b = a - 1, a \in \mathbb{Z}, 5 \lt a \lt 9\}$,then the range of $R$ is

(A)
$\{7, 8, 9\}$
(B)
$\{5, 6, 7\}$
(C)
$\{6, 7, 8\}$
(D)
$\{5, 6, 7, 8, 9\}$
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