Number System Ques 31
Question
The average of three consecutive positive even integers is more than that of four consecutive positive odd integers by 10 . The sum of second highest even integer and the second highest odd integer is 27 . What is the lowest odd integer?
(1) 9
(2) 11
(3) 5
(4) 3
(5) 7
(Indian Bank Specialist Officer SO Exam, 08.03.2020)
Show Answer
Answer: (3)
Solution: (3)
Three consecutive even integers $=x, x+2$ and $x+4$
Four consecutive odd integers $=y, y+2, y+4$ and $y+6$
According to the question,
$\frac{x+x+2+x+4}{3}-\frac{y+y+2+y+4+y+6}{4}$ $=10$
$\Rightarrow \frac{3 x+6}{3}-\frac{4 y+12}{4}=10$
$\Rightarrow x+2-y-3=10$
$\Rightarrow x-y=11 \ldots .$. (i)
Again, $x+2+y+4=27$
$\Rightarrow x+y=27-6=21 \ldots$. (ii)
By equation (ii)-(i) we have,
$x+y-x+y=21-11$
$\Rightarrow 2 y=10 \Rightarrow y=5$
BETA
