Question

2ab5 is a four digit number divisible by 25. If a number formed from the two digits ab is a multiple of 13, then ab is select one: a. 25 b. 52 c. 45 d. 10

Answer 1

Since it is given that ab is divisible by 1313 we should first check ans choices to eliminate options that are not divisible by 1313:

option a: 1010 is below 1313so it is not divisible by 1313

option b: 2525 is one less than 2626 so it is also not divisible by 1313

option c: 5252 is divisible by 1313 so let us see if the total number replaced by 5252 for the position ab is divisible by 2525

2525/25=52

option B

Hope its help you

Mark me as brainliest

Answer 2

Answer:

b. 52

Concept used:

If a number is divisible by 25, then the number formed by the last two digits will be of the following,

"25, 50, 75, 00"

Method of finding (Step-by-step):

=> As '2ab5' is divisible by 25, the number formed by last two digits 'b5' should be either 25 or 75. So b is either 2 or 7.

=> Given that 'ab' is a multiple of 13. As b is either 2 or 7, the least multiple of 13 ending in 2 is 52 and that ending in 7 is 117. As 117 is exceeds two digits, the one and only possible for 'ab' being is 52.

=> Thus the value of 'ab' is 52.