Consider the following statements

(A) 141 is a prime number.

(B) 2984234 is divisible by 11

(C) 39552 is divisible by 18.

(D) The sum of the face values of 3 and 5 in 36251 is 8.

Choose the correct answer from the options given below:

Consider the following statements:

(A) 141 is a prime number.

(B) 2984234 is divisible by 11.

(C) 39552 is divisible by 18.

(D) The sum of the face values of 3 and 5 in 36251 is 8.

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Statement (A): 141 is a prime number

A prime number has only two divisors: 1 and itself.

Checking divisibility by 3:

Sum of digits = 1 + 4 + 1 = 6

Since 6 is divisible by 3, 141 is divisible by 3.

141 ÷ 3 = 47

Therefore 141 = 3 × 47

Statement (A) is FALSE.

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Statement (B): 2984234 is divisible by 11

Divisibility rule for 11: Alternate sum of digits (from right to left) must be 0 or divisible by 11.

4 - 3 + 2 - 4 + 8 - 9 + 2 = 0

Since the result is 0, the number is divisible by 11.

Statement (B) is TRUE.

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Statement (C): 39552 is divisible by 18

For divisibility by 18, the number must be divisible by both 2 and 9.

Divisibility by 2:

Last digit is 2 (even), so divisible by 2.

Divisibility by 9:

Sum of digits = 3 + 9 + 5 + 5 + 2 = 24

24 is not divisible by 9.

Since the number is not divisible by 9, it is not divisible by 18.

Statement (C) is FALSE.

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Statement (D): The sum of face values of 3 and 5 in 36251 is 8

Face value is the digit itself.

In 36251:

Face value of 3 = 3

Face value of 5 = 5

Sum = 3 + 5 = 8

Statement (D) is TRUE.

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Only statements (B) and (D) are correct.

The correct answer is Option 1: (B) and (D) only.