Number System Ques 11
Question
The sum of a series of 5 consecutive odd numbers is 195 . The second lowest number of this series is 9 less than the second highest number of another series of 5 consecutive even numbers. What is $40 \%$ of the second lowest number of the series of consecutive even numbers?
(1) 16.8
(2) 18.8
(3) 19.4
(4) 17.6
(5) 16.4
(IBPS RRBs Officer CWE (Pre.))
Show Answer
Answer: (1)
Solution: (1)
Five consecutive odd numbers
$\Rightarrow x, x+2, x+4, x+6$ and $x+8$
$\therefore x+x+2+x+4+x+6+x$ $+8=195$
$\Rightarrow 5 x+20=195$
$\Rightarrow 5 x=195-20=175$
$\Rightarrow x=\frac{175}{5}=35$
$\therefore$ Second lowest number $=35+2=37$
$\therefore$ Second highest even number $=37+9=46$
$\therefore$ Second lowest even number $=42$
$\therefore 40 \%$ of $42=\frac{42 \times 40}{100}=16.8$