Assertion (A) : 2574 is divisible by 11 but 7083 is not divisible by 11.

Reason (R) : A number is divisible by 11 if the difference between the sum of its digits in even places and the sum of its digits in odd places is either 0 or divisible by 11.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.

We know that,

A number is divisible by 11 if the difference between the sum of its digits in even places and the sum of its digits in odd places is either zero or divisible by 11.

So, reason (R) is true.

Lets check 2574 is divisible by 11. Digits at even place (5 and 4), digits at odd place (2 and 7).

⇒ (5 + 4) - (2 + 7)

⇒ 9 - 9

⇒ 0.

Since, the difference is 0,

∴ 2574 is divisible by 11.

Lets check 7083 is divisible by 11. Digits at even place (0 and 3), digits at odd place (7 and 8).

⇒ (0 + 3) - (7 + 8)

⇒ 3 - 15

⇒ -12

Since, difference is neither 0 nor divisible by 11,

∴ 7083 is not divisible by 11.

So, assertion (A) is true and reason explain assertion.

Hence, option 1 is the correct option.