Question 95

Is $$x = y$$?

A. $$(x+y)(1/x + 1/y) = 4$$

B. $$(x-50)^2 = (y-50)^2$$

Solution

Consider statement 1:$$(x+y)(1/x + 1/y) = 4$$

$$(x+y)^2/xy = 4$$

$$x^2+y^2+2xy = 4xy$$

$$x^2+y^2+2xy-4xy = 0$$

$$(x-y)^2 = 0$$

x = y.

Consider statement 2:$$(x-50)^2 = (y-50)^2$$

(x-y)(x+y-100) = 0

Either x = y or x+y = 100.

Statement 1 is sufficient whereas statement 2 is not sufficient to answer the question.

Video Solution

video

Create a FREE account and get:

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

Related Formulas With Tests

cracku

Boost your Prep!

Download App