How many numbers of the form 34a5b are divisible by 36?A]3B] 2C] 5

1.	How many numbers of the form 34a5b are divisible by 36?A]3B] 2C] 5
Answer» Step-by-step EXPLANATION: since digital sum of a number divisible by 36 is equal to 9. and even number at it's unit place. also 0 or multiple of 4 at hundred place (not at all, only in this CASE) => 3+4+a+5+B = 9 => 12+a+b = 9 => 1+2+a+b = 9 => a+b+3 = 9 => a+b = 6 => (a,b) = (0,6),(4,2) therefore four numbers are formed (1) 34056 (3) 34452 thus option(B) 2 is correct.

Answer»

Step-by-step EXPLANATION:

since digital sum of a number divisible by 36

is equal to 9.

and even number at it's unit place.

also 0 or multiple of 4 at hundred place

(not at all, only in this CASE)

=> 3+4+a+5+B = 9

=> 12+a+b = 9

=> 1+2+a+b = 9

=> a+b+3 = 9

=> a+b = 6

=> (a,b) = (0,6),(4,2)

therefore four numbers are formed

(1) 34056

(3) 34452

thus option(B) 2 is correct.

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How many numbers of the form 34a5b are divisible by 36?A]3B] 2C] 5​

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How many numbers of the form 34a5b are divisible by 36?A]3B] 2C] 5