Multiple choice

A company gives a coupon of £100 for every 100th caller and 40th caller is given a free concert ticket. How many callers must get through before one of them receives both a coupon as well as concert ticket?

  1. 100

  2. 150

  3. 200

  4. 250

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

This is an LCM problem. A caller gets both prizes when they are both a 100th caller and a 40th caller. Find LCM(100, 40). Prime factors: 100 = 2² × 5², 40 = 2³ × 5. LCM = 2³ × 5² = 8 × 25 = 200.