Multiple choice

Find the greatest number which on dividing 3050 and 5200 leaves remainder 7 and 9 respectively.

  1. 149

  2. 111

  3. 153

  4. 179
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D Correct answer
Explanation

To find the greatest number that divides 3050 and 5200 leaving remainders 7 and 9 respectively, we first subtract the remainders: 3050 - 7 = 3043, and 5200 - 9 = 5191. We need to find the HCF of 3043 and 5191. Factorizing: 3043 = 17 × 179, and 5191 = 29 × 179. The HCF is 179, which is the greatest such divisor.

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