Multiple choice

Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively. सबसे बड़ी संख्या ज्ञात कीजिये जो कि 400, 435 और 541 को विभाजित करने पर क्रमशः में 9, 10 और 14 शेष के रूप में छोड़ेगी । That number can be possible:- यह संभव संख्या हो सकती है:- A. 19 B. 17 C. 13 D. 9

  1. All A, B, C and D सभी A, B, C तथा D

  2. Only B and C केवल B तथा C

  3. Only D and B केवल D तथा B

  4. Only A केवल A

  5. Only B केवल B
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

If a number N divides 400, 435, 541 leaving remainders 9, 10, 14 respectively, then N divides (400-9)=391, (435-10)=425, and (541-14)=527 exactly. We need HCF(391, 425, 527). 391 = 17 × 23, 425 = 5² × 17, and 527 = 17 × 31. The HCF is 17. The claimed answer is correct.

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