CAT 2002 Question Paper Question 32

Question 32

Suppose for any real number x, [x] denotes the greatest integer less than or equal to x. Let L(x, y) = [x] + [y] + [x + y] and R(x, y) = [2x] + [2y]. Then it is impossible to find any two positive real numbers x and y for which

Solution

Consider different values of x and y:

x = -1.5 and y = -1.5; x = 1.5 and y = -1.5; x = -1.5 and y = 1.5; x = 1.5 and y = 1.5.

For these possibilities, options A,B and C gets satisfied , but it is impossible to find any two positive real numbers x and y for which L(x, y) > R(x, y).

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Comments

Raj Dharod

4 years ago

Bro what about 0.8 and 0.9

kushagra

2 years, 6 months ago

ITt is asking +ve real numbers , Zero is not a +ve real number. So the GIF would result in 0.

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