Question

Quiz If abc is a three digit number, then the number abc - a - b - cis
divisible by : [NCERT Exemplar]
A. 9
B. 90
C. 10
D. 11

Answer 1

Answer:

The correct answer is option (a) 9

Step-by-step explanation:

We know that the general form of abc is 100a+10b+c Then the given number is abc – a – b – c =100a+10b+c – a – b- c By simplifying the above expression, we will get abc – a – b – c = 9(11a+b) Hence, then number abc – a – b – c is divisible by 9

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Answer 2

Answer:

9

Step-by-step explanation:

We know that the general form of abc is 100a + 10b + c

Given number is abc – a – b – c

So, abc – a – b – c = 100a + 10b + c – a – b – c

=> abc – a – b – c = 100a – a + 10b – b + c – c

=> abc – a – b – c = 99a + 9b

After simplifying, abc – a – b – c = 9(11a + b)

Hence, then abc – a – b – c is divisible by 9.

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