Question : Which is the smallest natural number that is exactly divisible by each of 96, 108, and 144?
Option 1: 864
Option 2: 2592
Option 3: 1296
Option 4: 1728
Correct Answer: 864
Solution : Given numbers, 96, 108 and 144 96 = 2 × 2 × 2 × 2 × 2 × 3 108 = 2 × 2 × 3 × 3 × 3 144 = 2 × 2 × 2 × 2 × 3 × 3 ⇒ Least common multiple = 24 × 33 = 432 The smallest multiple of 432 from the given options = 864 Hence, the correct answer is 864.
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Question : What is the smallest 6-digit number that is completely divisible by 108?
Option 1: 100003
Option 2: 100004
Option 3: 100006
Option 4: 100008
Question : The sum of three consecutive natural numbers divisible by 3 is 45. The smallest number is:
Option 1: 18
Option 2: 3
Option 3: 12
Option 4: 9
Question : The number 1563241234351 is:
Option 1: divisible by 11 but not by 3
Option 2: neither divisible by 3 nor by 11
Option 3: divisible by both 3 and 11
Option 4: divisible by 3 but not by 11
Question : What is the smallest perfect square number that is completely divisible by 4, 6, 9, 12, and 15?
Option 1: 784
Option 2: 900
Option 3: 961
Option 4: 841
Question : The least number which is exactly divisible by 4, 5, 8, 10 and 12 is:
Option 1: 150
Option 2: 120
Option 3: 180
Option 4: 240
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