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SSC CGL 2022 PYQ — Question 70

SSC CGL - 21 April 2022 - Shift 3 • Quantitative Aptitude • Q70

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If a 10- diit number 54726x79y6 is divisible by 72, then what is the value of 5x - 3y, for the least value of y?

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Correct answer: C

Explanation

 The correct answer is option 3 i.e. 16

72 = 8 × 9

So the number should be divisible by both 8 and 9

78y should be divisible by 8

Now, 9y6 is divisible by 8 and y is the least possible value

So the least possible value of y = 3

Now, 5 + 4 + 7 + 2 + 6 + x + 7 + 9 + 3 + 6 = 49 + x is divisible by 9

So, x = 5

Now, 5x - 3y = (5 × 5 - 3 × 3) = 16