A number consists of two digits If the digits interchange place...

Home / Arithmetic Ability / Problems On Numbers / Question

Examveda

A number consists of two digits. If the digits interchange place and the new number is added to the original number, then the resulting number will be divisible by :

A. 3

B. 5

C. 9

D. 11

Answer: Option D

Solution (By Examveda Team)

Let the ten's digit be x and unit's digit be y
Then, number = 10x + y
Number obtained by interchanging the digits = 10y + x
∴ (10x + y) + (10y + x)
= 11(x + y), which is divisible by 11

This Question Belongs to Arithmetic Ability >> Problems On Numbers

Join The Discussion

Related Questions on Problems on Numbers

If one-third of one-fourth of a number is 15, then three-tenth of that number is:

A. 35

B. 36

C. 45

D. 54

E. None of these

View Answer

Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

A. 9

B. 11

C. 13

D. 15

E. None of these

View Answer

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

A. 3

B. 4

C. 9

D. Cannot be determined

E. None of these

View Answer

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

A. 4

B. 8

C. 16

D. None of these

View Answer