Question : The least number which is exactly divisible by 5, 6, 8, 10 and 12 is:
Option 1: 180
Option 2: 240
Option 3: 120
Option 4: 150
Correct Answer: 120
Solution : The least number which is exactly divisible by 5, 6, 8, 10, and 12 is their least common multiple (LCM). Factors of 5 = 5 × 1 Factors of 6 = 2 × 3 Factors of 8 = 2 × 2 × 2 Factors of 10 = 2 × 5 Factors of 12 = 2 × 2 × 3 LCM of 5, 6, 8, 10, and 12 = 23 × 3 × 5 = 8 × 3 × 5 = 120 Hence, the correct answer is 120.
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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
Question : The least number which should be added to 1351 so that the sum is exactly divisible by 2, 4, 6 and 8 is:
Option 1: 11
Option 2: 15
Option 3: 13
Option 4: 17
Question : If a 4-digit number x58y is exactly divisible by 9, then the least value of (x + y) is:
Option 1: 4
Option 2: 5
Option 3: 3
Option 4: 2
Question : The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is:
Option 1: 10800
Option 2: 10250
Option 3: 10700
Option 4: 10600
Question : Let $x$ be the least number which when divided by 8, 9, 12, 14 and 36 leaves a remainder of 4 in each case, but $x$ is divisible by 11. The sum of the digits of $x$ is
Option 1: 5
Option 2: 6
Option 3: 9
Option 4: 4
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