230
250
290
350
Answer is Right!
Answer is Wrong!
The correct answer is (b).
The LCM of 12, 15, 18, 20, and 24 is 180. So, the smallest number that is divisible by all of these numbers is 180. When we add 10 to 180, we get 190. Therefore, the smallest number that when increased by 10 is completely divisible by 12, 15, 18, 20, and 24 is 190.
Here is a brief explanation of each option:
- Option (a): 230 is not divisible by 20.
- Option (b): 250 is divisible by all of the given numbers. When we add 10 to 250, we get 260, which is not divisible by 12.
- Option (c): 290 is divisible by all of the given numbers. When we add 10 to 290, we get 300, which is not divisible by 15.
- Option (d): 350 is divisible by all of the given numbers. When we add 10 to 350, we get 360, which is divisible by all of the given numbers. However, 350 is not the smallest number that when increased by 10 is completely divisible by 12, 15, 18, 20, and 24. The smallest number that is divisible by all of these numbers is 180. When we add 10 to 180, we get 190. Therefore, the smallest number that when increased by 10 is completely divisible by 12, 15, 18, 20, and 24 is 190.