CAT 2020 Question Paper | Quants Slot 2

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Question 12 : If x and y are non-negative integers such that x + 9 = z, y + 1 = z and x + y < z + 5, then the maximum possible value of 2x + y equals

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Video Explanation

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Explanatory Answer

x + x + 8 < x + 9 + 5
2x + 8 < x + 14
x < 6
Maximum possible of x = 5, then y = 13
2x + y = 2(5) + 13 = 23

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The question is "If x and y are non-negative integers such that x + 9 = z, y + 1 = z and x + y < z + 5, then the maximum possible value of 2x + y equals"

Hence, the answer is, "23"