Question

(x,
y) is a pair of positive integers such that LCM (x,
y) – HCF (x,
y) = 143 and x > y. Which one of the following is correct in respect of the Question and the Statements given below? Statement 1: There are three possible values of HCF (x,
y). Statement 2: The minimum value of (x –
y) is 7. Statement 3: There are 6 pairs of (x,
y) that satisfy the given conditions.

A Only Statements 1 and 2 are correct.

B All three statements are correct.

C Statement 1 is incorrect but Statements 2 and 3 are correct.

D Statements 1 and 3 are correct but Statement 2 is incorrect.

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