Multiple choice

An ice-cream vendor is taking continuous rounds of a residential colony on a tricycle cart. He passes Gautam's house after every 30 minutes. A fruit seller walking with his cart takes rounds on the same path and passes Gautam's house in every 50 minutes. If Gautam buys ice-creams and fruits from both of them together and the two start from his house at the same time, after how many minutes again will they pass simultaneously toghether in-front of Gautam's house.

  1. 120

  2. 90

  3. 150

  4. 160

  5. 140

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Correct.

The next simultaneous appearance of two infront of Gautams house will be a least common multiple of the times taken by both the vendors.

i.e. LCM of 30 & 50.

Which is 150.