Quantitative Aptitude Ques 1771

Question: The sum of two numbers is 24 and their product is 143. The sum of their squares is

Options:

A) 296

B) 295

C) 290

D) 228

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the numbers be x and y.

$ \therefore $ $ x+y=24 $ and $ xy=143 $ From formula, $ x^{2}+y^{2}={{(x+y)}^{2}}-2xy $ $ ={{(24)}^{2}}-2\times 143 $ $ =576-286 $ $ =290 $

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