Instructions

Answer the questions based on the following information. A, S, M and D are functions of x and y, and they are defined as follows.

$$A(x, y)=x + y$$

$$S(x, y)=x-y$$

$$M(x, y)=xy$$

$$D(x,y)=\frac{x}{y}$$. $$y\neq0$$

Question 16

What is the value of $$S[M(D(A(a, b), 2), D(A(a, b), 2)), M(D(S(a, b), 2), D(S(a, b), 2))]$$?

Solution

Given expression can be reduced to:

$$S[M(\frac{a+b}{2}),(\frac{a+b}{2})), M((\frac{a- b}{2}, (\frac{a-b}{2})]$$

= $$S[(\frac{(a+b)}{2})^2, (\frac{(a-b)}{2})^2]$$

= $$(\frac{a+b}{2})^2 - (\frac{(a-b)}{2})^2 $$

= ab

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 Remainders Questions CAT Mensuration Questions CAT Time And Work Questions CAT Probability, Combinatorics Questions CAT Percentages Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based LR Questions CAT Table with Missing values Questions CAT Scheduling Questions CAT Data Interpretation Basics Questions CAT DI Miscellaneous Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Jumbles Questions CAT Grammar and Sentence Correction Questions CAT Verbal Ability Questions CAT Reading Comprehension Questions CAT Vocabulary Questions

Follow us on

Boost your Prep!

Download App