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Q.

Is it true that the number 25110 is divisible by 45?

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a

True

b

False

answer is A.

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Detailed Solution

The given numbers are 25110 and 45.
We can write 45 as 5 × 9.
Factors of the number 5 = 1 and 5.
Factors of the number 9 = 1, 3 and 9.
Hence, 5 and 9 are co-prime numbers.
We know that a number is divisible by their product if it is divisible by each of two or more co-prime numbers.
The last digit of 25110 is 0 and hence, it is divisible by 5.
Sum of digits of 25110 is,
2 + 5 + 1 + 1 + 0 = 9.
So, 25110 is divisible by 9.
Since the number is divisible by both 5 and 9, it is also divisible by 45.
Therefore, the number 25110 is divisible by 45.
Hence, the given statement is true.
Therefore, option 1 is correct.

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