Number System Ques 39
Question
The sum of six consecutive even numbers of set-A is 402 . What is the sum of another set-B of four consecutive numbers whose lowest number is 15 less than double the lowest number of set-A?
(1) 444
(2) 442
(3) 440
(4) 446
(5) None of these
(Allahabad Bank PO Exam. 17.04.2011)
Show Answer
Answer: (2)
Solution: (2)
Tricky approach:-
Let the numbers be $x, x+2, x$ $+4, x+6, x+8, x+10$
According to question,
$x+8+x+10+x+x+2+x+4$ $+x+6=402$
$6 x+30=402$
$6 x=372$
$x=62$
Or
Third even number $=\frac{402}{6}-1$ $=67-1=66$
$\Rightarrow$ Smallest even number $=62$
$\because$ Smallest number of set - B $=2 \times 62-15=109$
$\therefore$ Required sum $=109+110+111+112=442$
BETA
