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GUJCET 2026 Math Paper

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Question : 1 of 40

Marks: +1, -0

Let

R

be the relation in the set

N

R = \{(a, b) : a = b - 2, b > 6\}

then which of the following is correct?

$(8, 6) \in R$
$(3, 8) \in R$
$(6, 8) \in R$
$(8, 7) \in R$

Solution:

Concept:

The relation

R

pairs

(a,b)

only when

a

is

2

less than

b

, and

b

must be greater than

6

.

Explanation:

Check each option using

R = \{(a,b): a = b-2,\ b > 6\}

.

For

(8,6)

,

b=6

is not greater than

6

, so it fails.

For

(3,8)

,

b-2 = 8-2 = 6

, but

a=3

, so

3 \ne 6

.

For

(6,8)

,

b-2 = 8-2 = 6 = a

, and

b=8 > 6

, so it satisfies both conditions.

For

(8,7)

,

b-2 = 7-2 = 5

, but

a=8

, so

8 \ne 5

.

Answer:

(6,8) \in R

, so option C is correct.

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