Instructions

Directions for the next 2 questions:

For real numbers x, y, let

f(x, y) = Positive square-root of (x + y), if $$(x + y)^{0.5}$$ is real
f(x, y) = $$(x + y)^2$$; otherwise

g(x, y) = $$(x + y)^2$$, if $$\sqrt{(x + y)}$$ is real
g(x, y) = $$- (x + y)$$ otherwise

Question 114

Under which of the following conditions is f(x, y) necessarily greater than g(x, y)?

Solution

When both x and y are less than -1, g(x,y) > 2 and f(x,y) > 4 and $$f(x,y) = g(x,y)^2$$
So, f(x,y) > g(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 Number Systems Questions CAT Remainders Questions CAT Progressions and Series Questions CAT Profit And Loss Questions CAT Arithmetic Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Data change over a period Questions CAT Charts Questions CAT Games and Tournamnents Questions CAT DI with connected data sets Questions CAT Truth Lie Concept Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Reading Comprehension Questions CAT Verbal Ability Questions CAT Miscellaneous Questions CAT Para Jumbles Questions CAT Para Summary Questions

Follow us on

Boost your Prep!

Download App