ABC is a three-digit number, when ABC is multiplied by a single digit number X, then the product is 2634. In that three-digit number ABC, the digit at...

Question

ABC is a three-digit number, when ABC is multiplied by a single digit number X, then the product is 2634. In that three-digit number ABC, the digit at tens place is equal to half of X. Which of the following statement/s is/are correct about ABC?

(i) Unit digit in ABC is 9
(ii) ABC is a prime number
(iii) Sum of digits of ABC is 16

Options

A.

(a) Only (i) and (iii)

B.

(b) Only (i) and (ii)

C.

(c) Only (iii)

D.

(d) All (i), (ii) and (iii)

E.

(e) None of these

number propertiesmultiplicationprime numberdigit sum

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