Simultaneous Order Mondays
XAT 2022 · Quantitative Ability & Data Interpretation · Easy · Numbers
A supplier receives orders from 5 different buyers. Each buyer places their order only on a Monday. The first buyer places the order after every 2 weeks, the second buyer, after every 6 weeks, the third buyer, after every 8 weeks, the fourth buyer, every 4 weeks, and the fifth buyer, after every 3 weeks. It is known that on January 1st, which was a Monday, each of these five buyers placed an order with the supplier.
On how many occasions, in the same year, will these buyers place their orders together excluding the order placed on January 1st?
- A.
1
- B.
5
- C.
2
- D.
4
- E.
3
C
Explanation
LCM of intervals weeks. In a 52/53-week year, after Jan 1st, orders coincide after 24 weeks and 48 weeks. Thus, 2 occasions.
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