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How many numbers among 1210, 1331, 1442, 1553 are divisible by 11?
Question

How many numbers among 1210, 1331, 1442, 1553 are divisible by 11?

A.

1

B.

2

C.

3

D.

4

Correct option is B

Given:
The set of numbers is 1210, 1331, 1442, and 1553.
Formula Used:
Divisibility Rule of 11: A number is divisible by 11 if the difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11.
Solution:
Let us check each number independently.
For 1210: Difference = (1 + 1) - (2 + 0) = 2 - 2 = 0. Divisible.
For 1331: Difference = (1 + 3) - (3 + 1) = 4 - 4 = 0. Divisible.
For 1442: Difference = (1 + 4) - (4 + 2) = 5 - 6 = -1. Not divisible.
For 1553: Difference = (1 + 5) - (5 + 3) = 6 - 8 = -2. Not divisible.
There are exactly 2 numbers (1210 and 1331) that satisfy the condition.
Final Answer
So the correct answer is (b)

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