Question

Joseph visits the club on every 5 day Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

(a) Monday

(b) Wednesday

(c) Thursday

(d) Sunday

Answer 1

Correct option is (b) Wednesday

Taking LCM of their visiting intervals

⇒ LCM = 3 × 5 × 8 × 3 = 360

All three will meet 360^th day.

Now as 1^st time they meet is on Sunday which occurs after every 7 days.

⇒ 360 = 51 × 7 + 3 

⇒ 357^th day will be Sunday and hence, 360^th day will be on Wednesday.

Comments

Excellent!