Question : What is that least perfect square which is exactly divisible by each of 14, 84, and 28?
Option 1: 7056
Option 2: 3528
Option 3: 1764
Option 4: 441
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Correct Answer: 1764
Solution : Factors of 14 = 2 × 7 Factors of 84 = 2 × 2 × 3 × 7 Factors of 28 = 2 × 2 × 7 LCM of 14, 84, and 28 = 2 × 2 × 3 × 7 = 84 To make it a perfect square, one 3, and one 7 more are required. So, required number = 84 × 3 × 7 = 1764 Hence, the correct answer is 1764.
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Question : What is that least perfect square, which is exactly divisible by each of 12, 84 and 24?
Option 1: 2304
Option 2: 7056
Option 3: 11664
Option 4: 1764
Question : What is the smallest perfect square which is divisible by both 8 and 12?
Option 1: 100
Option 2: 144
Option 3: 121
Option 4: 196
Question : What is the smallest perfect square number that is divisible by both 10 and 15?
Option 1: 1200
Option 2: 1800
Option 3: 360
Option 4: 900
Question : The least number of five digits exactly divisible by 88 is:
Option 1: 10032
Option 2: 10132
Option 3: 10088
Option 4: 10023
Question : What is the least number that should be added to 478 so that the number obtained becomes exactly divisible by 5, 6, and 12?
Option 1: 62
Option 2: 12
Option 3: 2
Option 4: 52
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