APPSC Group-I Prelims 2019 Paper II · Question 19

Question 19 of the APPSC Group-I Prelims 2019 Paper II (26 May 2019). Try it first, then open the answer and explanation.

1. Prelims 2019 · P-II · Q19 · Mental Ability & Reasoning · Numbers & Series

   The least common multiple of two numbers is 168 and highest common factor of them is 12. If the difference between the numbers is 60, what is the sum of the numbers ?

   రెండంకెల అతి చిన్న గుణకారం 168 అయితే అందులోని కామన్ ఫాక్టర్ 12. ఒకవేళ సంఖ్య మధ్య తేడా 60, అయితే, అంకెలమొత్తమెంత?

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   Answer: 108

   సమాధానం: 108

   Let the numbers be 12a and 12b with a, b co-prime. Then 12ab = 168 gives ab = 14, and 12(b − a) = 60 gives b − a = 5, so a = 2, b = 7. The numbers are 24 and 84, and their sum is 108.

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