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
Correct Answer: 900
Solution : Given numbers = 4, 6, 9, 12, and 15 LCM of 4, 6, 9, 12, and 15 = 180 From the above-given numbers: 784, 900, 961, 841, only 900 is divisible by 180. Hence, the correct answer is 900.
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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 smallest whole number that is to be multiplied by 59535 to make a perfect square is $x$. The sum of digits of $x$ is:
Option 1: 9
Option 2: 5
Option 3: 7
Option 4: 6
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 : What smallest value must be added to 508, so that the resultant is a perfect square?
Option 1: 4
Option 2: 9
Option 3: 18
Option 4: 21
Question : What is the least value of x so that the number 8x5215 becomes divisible by 9?
Option 1: 3
Option 2: 1
Option 3: 5
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