In a Mathematics examination the number scored by 5 candidates are 5 successive odd integers. If their total… · ABC26GN1779
Subject: General Aptitude · Chapter: Problems on Numbers · Exam: NICL—AAO Exam 2015
In a Mathematics examination the number scored by 5 candidates are 5 successive odd integers. If their total marks are 185, the highest score is
(a)39
(b)43
(c)41
(d)47
Answer
Answer (as printed): C
Explanation
Let the five successive odd numbers be $x, x+2, x+4, x+6, x+8$. Then, according to given information, $185=x+x+2+x+4+x+6+x+8 \Rightarrow 185=5x+20 \Rightarrow 5x=185-20=165 \Rightarrow x=33$. Highest number $=33+8=41$.
Explanation as extracted from the printed page; notation may be imperfect.