Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2009 · Marks: · Difficulty:
The sum of five consecutive odd numbers is 575. What is the sum of the next set of five consecutive odd numbers?
(a)595
(b)615
(c)635
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): E
Explanation
Let the five numbers be $x, x+2, x+4, x+6$ and $x+8$. Then, $x+(x+2)+(x+4)+(x+6)+(x+8)=575 \Leftrightarrow 5x+20=575 \Leftrightarrow 5x=555 \Leftrightarrow x=111$. ∴ Required sum $=(x+10)+(x+12)+(x+14)+(x+16)+(x+18)=5x+70=5\times111+70=555+70=625$.
Explanation as extracted from the printed page; notation may be imperfect.