Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is
(a)7
(b)29
(c)41
(d)67
Answer
Answer (as printed): D
Explanation
Let the required prime numbers be $x, y, y+36$. Then, $$x+y+y+36=100 \Rightarrow x+2 y=64$$ Let $x=2$. Then, $2 y=62 \Rightarrow y=31$. So, these prime numbers are 2, 31 and 67. In given choices 67 is the answer.
Explanation as extracted from the printed page; notation may be imperfect.