Number System Ques 27
Question
Sum of two numbers is equal to sum of square of 11 and cube of 9. Larger number is $(5)^{2}$ less than square of 25 . What is the value of the sum of twice of 24 percent of the smaller number and half of the larger number?
415
400
410
425
(5) None of these
(UCO Bank PO Exam. 30.01.2011)
Show Answer
Answer: (5)
Solution: (5)
$x+y=11^{2}+9^{3}$,
Where $x$ is the larger number
$\Rightarrow x+y=121+729$
$\Rightarrow x+y=850$
$x=25^{2}-5^{2}=(25+5)(25-5)$ $=30 \times 20=600$
$\therefore y=850-600=250$
$\therefore$ Required sum $=\frac{250 \times 24 \times 2}{100}+\frac{600}{2}$ $=120+300=420$
BETA
