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HCF & LCM · Question 62 of 63

Question 62

HardOriginal question

Neha visits the library every 4 days, Rakesh every 6 days and Salma every 10 days. All three visited on 1 March. On which date will all three next visit on the same day?

Options for question 62

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. They meet again after LCM⁡(4,6,10)=60\operatorname{LCM}(4, 6, 10) = 60 days.

  2. March has 31 days, so 30 days after 1 March is 31 March.

  3. 30 more days is 30 April.

Worth noting

1 May comes from treating every month as 30 days; 60 days after 1 March is 30 April.

Concept
LCM with calendar counting
Typical time
100 s
Your time
—
The rule this testsHCF and LCM word problems
Practise this chapter →

Ten questions from HCF & LCM, at your own pace.

Practise this chapter →

Ten questions from HCF & LCM, at your own pace.