CAT WhatsApp Group

Question 66

In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?

Solution

Consider rectangle with shorter side as $$y$$, longer side as $$x$$ and diagonal as $$z$$.

So $$(x+y) - z = \frac{x}{2}$$ => x/2+y=z

Where $$z^2=x^2 + y^2$$

So, $$(x/2 +y)^2$$ = z

squaring on both sides and after putting value of z and solving we can get ratio of y to x as 3:4

Get 3 Free CAT Mock Tests with Expert Video Solutions Get 3 Free CAT Mock Tests

Video Solution

video

View More Questions From Geometry

Create a FREE account and get:

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

maruti sir image

CAT Quant Questions | CAT Quantitative Ability

CAT Geometry Questions CAT Progressions and Series Questions CAT Remainders Questions CAT Simple Interest Compound Interest Questions CAT Inequalities Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Table based DI Sets Questions CAT DI Miscellaneous Questions CAT Coins and Weights Questions CAT Data change over a period Questions CAT Quant Based LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Verbal Ability Questions CAT Para Jumbles Questions CAT Grammar and Sentence Correction Questions CAT Reading Comprehension Questions CAT Odd One Out Questions