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).

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
35+ CAT previous papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Arithmetic Questions CAT Data Sufficiency Questions CAT Time And Work Questions CAT Progressions and Series Questions CAT Coordinate Geometry Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Selection With Condition Questions CAT Routes And Networks Questions CAT DI Miscellaneous Questions CAT Miscellaneous LR Questions CAT Data Interpretation Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Critical Reasoning Questions CAT Vocabulary Questions CAT Para Jumbles Questions CAT Verbal Ability Questions CAT Odd One Out Questions

CAT 2002 QA Question

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

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Free Quant Questions

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account