Number System Ques 12
Question
The sum of a series of 5 consecutive odd numbers is 225 . The second number of this series is 15 less than the second lowest number of another series of 5 consecutive even numbers. What is $60 \%$ of the highest number of this series of consecutive even numbers?
(1) 36.0
(2) 34.6
(3) 38.4
(4) 40.8
(5) 39.2
(IBPS RRBs Officer CWE (Pre.) 14.11.2016 (Shift-III))
Show Answer
Answer: (3)
Solution: (3)
Let the odd numbers be : $x, x+2, x+4, x+6$ and $x+8$
$\therefore x+x+2+x+4+x+6+x$ $+8=225$
$\Rightarrow 5 x+20=225$
$\Rightarrow 5 x=225-20=205$
$\Rightarrow x=\frac{205}{5}=41$
$\therefore$ Second number $=43$
Second lowest even number $=43+15=58$
$\therefore$ Largest even number $=58+6=64$
$\therefore 60 \%$ of $64=\frac{64 \times 60}{100}=38.4$
BETA
