1.

When 1231, 1471, and 1711 are divided by the greatest number a, then, the remainder in each case is b. Then, what is the value of (a - b)?1. 2492. 2603. 3004. 209

Answer» Correct Answer - Option 4 : 209

We need to find the Greatest Common Factor (HCF).

Thus, (1471 – 1231) = 240

(1711 - 1471) = 240

(1711 – 1231) = 480 = 2 × 240

Therefore,

The greatest number is 240.

So, Numbers are –

1231 = (240 × 5) + 31

1471 = (240 × 6) + 31

1711 = (240 × 7) + 31

The remainder is 31.

According to question –

⇒ (a – b) = 240 – 31 = 209



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