Number System Ques 34
Question
There are six consecutive odd numbers in ascending order and each is divisible by 3 . The average of all the numbers is 48 . What is the average of next 3 consecutive odd numbers divisible by 3 ?
(1) 57
(2) 63
(3) 75
(4) 81
(5) 93
Show Answer
Answer: (3)
Solution: (3)
Let the smallest odd number be $x$.
$\therefore$ Sum of the numbers
$=[x+(x+6)+(x+12)+(x+18) +(x+24)+(x+30)]$ $=6 x+90$
$\therefore$ Average $=\frac{6 x+90}{6}=48 $
$\Rightarrow x$ $+15=48$
$\Rightarrow x=48-15=33$
Sixth number $=33+30=63$
So next three consecutive numbers $=69,75$ and 81
Required average $=\frac{(69+75+81)}{3}=\frac{225}{3}=75$
BETA
