Algebra  Quant Practice Questions  CAT 2016 Preparation
Question 4 the day : March 04, 2003
The question for the day is from the topic of Algebra.
Question
If (x + 2)^{ 2 }= 9 and (y + 3) ^{ 2 } = 25, then the maximum value of x / y is
(1) 1 / 2
(2) 5 / 2
(3) 5 / 8
(4) 1 / 8
Correct Answer is 5 / 8. Correct Choice is (3)
Explanatory Answer
(x + 2) ^{2} = 9
=> x + 2 = ± 3
=> x = 1 or 5
and (y + 3) ^{2} = 25
=> y + 3 = ± 5
=> y = 2 or 8
Therefore, maximum value of x / y = 5 / 8 = 5 / 8.
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