CAT 1997 Question Paper Question 76

Question 76

What is the value of $$a^3 + b^3$$ ?
I. $$a^2 + b^2 = 22$$
II. $$ab = 3$$

Solution

Considering first statement only, nothing absolute can be said about the value of $$a^3 + b^3$$ similarly considering 2nd statement only nothing absolute can be said about the value of $$a^3 + b^3$$.
When we consider both statements together two values of (a+b) can be possible as $$\sqrt{28}$$ and $$-\sqrt{28}$$
By which two possible values of $$a^3 + b^3$$. Nothing absolute can be said about it.
Hence answer will be D).

Create a FREE account and get:

All Quant CAT Formulas and shortcuts PDF
30+ CAT previous papers with solutions PDF
Top 500 CAT Solved Questions for Free

Comments

Register with

OR

CAT DILR Questions | LRDI Questions For CAT

CAT Data Interpretation

CAT DI Data Change Over Period

CAT Tables With Missing Values

CAT DI Venn Diagrams

CAT DI Special Charts

CAT DI Maxima & Minima

CAT Quant-Based DI

CAT DI Connected Sets

CAT DI Miscellaneous

CAT LR Arrangement

CAT LR Selections With Conditions

CAT LR Coins & Weights

CAT LR Truth & Lie

CAT LR Scheduling

CAT LR Games & Tournaments

CAT 2D & 3-D LR

CAT Quant-Based LR

CAT LR Miscellaneous

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Reading Comprehension (RC)

CAT Para Jumbles

CAT Para Completion and Summary Questions

CAT Grammar & Sentence Correction

CAT Critical Reasoning

Boost your Prep!

Download App