Question : Find the least number exactly divisible by 9, 24, and 36.
Option 1: 72
Option 2: 36
Option 3: 24
Option 4: 9
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Correct Answer: 72
Solution : Given numbers are 9, 24, and 36. 9 = 3 × 3 24 = 2 × 2 × 2 × 3 36 = 2 × 2 × 3 × 3 ⇒ LCM of 9, 24, and 36 = 3 × 3 × 2 × 2 × 2 = 72 Hence, the correct answer is 72.
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Question : What is the least value that must be assigned to * so that the number 451*603 is exactly divisible by 9?
Option 1: 7
Option 2: 8
Option 3: 5
Question : Find the least number divisible by 2, 3, 5, 6, 9, and 18 which is a perfect square.
Option 1: 900
Option 2: 400
Option 3: 144
Option 4: 3600
Question : What is the least value that should be added to 1812 to make it divisible by 7, 11, and 14?
Option 1: 12
Option 3: 72
Option 4: 154
Question : The least number that should be added to 35460 so that the sum is exactly divisible by 3, 4, 5, and 7 is:
Option 1: 84
Option 2: 420
Option 3: 240
Option 4: 180
Question : A 9-digit number $846523X7Y$ is divisible by 9 and $Y - X = 6$. Find the value of $\sqrt{2X+4Y}$.
Option 1: 4
Option 2: 2
Option 3: 6
Option 4: 8
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