HCF and LCM Word Problems Workbook - Class 5 CBSE

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Q1 · MCQ · 1 mark
Three bells toll at intervals of 12, 15, and 18 minutes respectively. If they toll together at 9:00 AM, when will they next toll together?
Q2 · SHORT · 2 marks
A baker has 144 chocolate chip cookies and 108 oatmeal cookies. He wants to package them into boxes such that each box contains an equal number of each type of cookie. What is the greatest number of identical boxes he can make?
Q3 · FILL · 1 mark
Two ropes are 56 meters and 84 meters long. They are to be cut into pieces of equal length. The greatest possible length of each piece is ____ meters.
Q4 · MCQ · 1 mark
What is the smallest number of marbles a child must have so that if they are arranged in groups of 12, 15, or 20, no marble is left over?
Q5 · SHORT · 2 marks
A shopkeeper has 48 pencils, 72 pens, and 96 erasers. He wants to pack them into identical gift packs such that each pack has the same number of pencils, pens, and erasers. What is the maximum number of gift packs he can make?
Q6 · FILL · 1 mark
The product of two numbers is 2500. If their HCF is 50, then their LCM is ____.
Q7 · MCQ · 1 mark
Three friends run around a circular track. Friend A completes a lap in 3 minutes, Friend B in 4 minutes, and Friend C in 6 minutes. If they all start at the same point and time, after how many minutes will they all meet again at the starting point?
Q8 · SHORT · 2 marks
Two numbers are in the ratio 3:4. If their HCF is 6, find the numbers and their LCM.
Q9 · FILL · 1 mark
A group of students can be arranged in rows of 8, 12, or 16 without any student left over. The minimum number of students in the group is ____.
Q10 · MCQ · 1 mark
The HCF of 105 and 150 is 15. What is their LCM?
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