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SSC MTS - 07/10/2024 - (12:30 PM - 2:30 PM)

7 October 2024 • 90 questions

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Question 1 / 90

The largest number that can divide 147, 183 and 271 leaving remainders 11,13 and 16, respectively, is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 17.

Let the required number be x

147 leaves remainder 11 ⇒ 147 − 11 = 136

183 leaves remainder 13 ⇒ 183 − 13 = 170

271 leaves remainder 16 ⇒ 271 − 16 = 255

Now, HCF(136, 170, 255) = 17

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