Advanced Mathematics Primary 4 Factors and Multiples

Amir is thinking of a number between 50 and 65. The number is a multiple of both 4 and 6. What is the number?

A 52
B 56
C 60
D 64
Show Worked Solution

Worked Solution

Step 1: Find LCM(4, 6). 4=2², 6=2×3. LCM=2²×3=12. Step 2: Common multiples of 4 and 6 are multiples of 12: 12, 24, 36, 48, 60, 72... Step 3: Which is between 50 and 65? Only 60. Step 4: Verify: 60÷4=15 ✓, 60÷6=10 ✓. Answer: 60.

Correct answer: 60

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