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SSC CGL 2022 PYQ — Question 56

SSC CGL - 06 Dec 2022 - Shift 2 • Quantitative Aptitude • Q56

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350 + 926 + 2718 + 928 + 929 is divisible by which of the following integers?

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 11.

⇒ 350 + 926 + 2718 + 928 + 929

⇒ 350 + (32)26 + (33)18 + (32)28 + (32​​​​​​​)29

⇒ 350 + 352+ 354 + 356+ 358

⇒ 350(1 + 9 + 81 + 729 + 6561)

⇒ 350(7381)

7381 is divisible by 11. 

So, 350 + 926 + 2718 + 928 + 929 is divisible by 11.