Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2010 · Marks: · Difficulty:
The sum of three consecutive odd numbers and three consecutive even numbers together is 231. Also, the smallest odd number is 11 less than the smallest even number. What is the sum of the largest odd number and the largest even number?
(a)74
(b)82
(c)83
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): E
Explanation
Let the three odd numbers be $x, x+2$, $x+4$ and the three even numbers be $x+11$, $x+13$ and $x+15$. Then, $x+(x+2)+(x+4)+(x+11)+(x+13)+(x+15)=231 \Leftrightarrow 6x+45=231 \Leftrightarrow 6x=186 \Leftrightarrow x=31$. ∴ Required sum $=(x+4)+(x+15)=2x+19=2\times31+19=62+19=81$.
Explanation as extracted from the printed page; notation may be imperfect.