Consider the following statements:

(A) The unit's digit in the product of (5236 × 6231) is 1.
(B) The digit in the unit's place for the product 31 × 32 × 33 × 34 × .....× 49 is 0.
(C) The sum of the face values of 7 and 4 in 8175349 is 11.
(D) The sum of the place values of 3 in 3935 is 6.

Choose the correct answer from the options given below:

(B) and (C) only

The correct answer is Option (4) → (B) and (C) only

Statement (A): The unit’s digit in the product of (5236 × 6231) is 1. Incorrect. The unit digit depends only on the unit digits of the numbers. The unit digit of 5236 is 6 and of 6231 is 1. Their product gives a unit digit of 6, not 1.

Statement (B): The digit in the unit’s place for the product 31 × 32 × 33 × 34 × … × 49 is 0. Correct. The product includes numbers like 40, which has 0 in the unit place. Hence, the entire product will have 0 as the unit digit.

Statement (C): The sum of the face values of 7 and 4 in 8175349 is 11. Correct. The face value of a digit is the digit itself. The face values of 7 and 4 are 7 and 4, and their sum is 11.

Statement (D): The sum of the place values of 3 in 3935 is 6. Incorrect. The digit 3 appears in the thousands place and tens place, giving place values of 3000 and 30. Their sum is 3030, not 6.