Question

If a cat starts from the 7th step and jumps five steps at a time and a mouse starts from the 4th step and jumps 3 steps at a time, at which step can the cat catch the rat?

• A.
  25 th step
• B.
  14th step
• C. 15 th step
• D.
  17 th step

Answer 1

The correct option is D

17 th step
If the cat starts from the 7th step and jumps five steps at a time, the cat jumps from 5th step to 7, 12, and 17 step and so on.
The mouse jumps from 4th step and jumps 3 steps at a time
So the rat steps on 4, 7, 11, 14, and 17 th steps.
The common step they both land on is the 17th step.
So the cat can catch the mouse at the 17th step.