A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest original number is = ?
A. 12
B. 22
C. 26
D. 53
Answer: Option A
Solution(By Examveda Team)
Let the required number be x.Then, $$\frac{11x + 11}{13}$$ = a whole number.
So, (11x + 11) must be divisible by 13
By hit and trial, we get x = 12
Hence, the smallest original number is 12
This Question Belongs to Arithmetic Ability >> Number System
Join The Discussion
Comments ( 2 )
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
Let the number be x and product be y. From the question,
the number is multiplied by 11. 11*x=y
11 is added to the product. 11*x= y+11
Now, the product is divisible by 13. 11*x= (y+11)/13
By hit and trial, apply x=12,
11*12= 132+11= 143 which is divisible by 13.
So the answer is 12.
how to get 12?? plz clearify