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).



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