Question

2. The seven-digit number 876 p37q is divisible by 225. The values of p and q can be respectively [CDS 2015 (11)]

Railway Exams

Maths

Solution

148

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Step-by-step explanation: The seven digit number ( 876 p 37 q ) is divisible by ( 225 . ) And ( 225=9 times 25 ) So, the given number would also be divisible by 9 and 25 We know if a number is divisible by 25 its last two digit must be multiple of 25 i.e. ( 00,25,50, ) or 75 So it is clear that ( mathrm{q} ) can not be 0 hence it would be ( 5 . ) Now, the number is divisible by ( 9, ) so according to the divisibility by ( 9, ) the sum of digits of the given number must be divisible by 9. Sum of digits ( =8+7+6+p+3+7+5=36+p ) So, the number to be divisible by ( 9, p ) can have the value either 0 or 9 .