wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question


If 21y5 is a multiple of 9, where y is a digit, which of the numbers can take the possible value of y?


A

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

7

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

8

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

1


Since 21y5 is a multiple of 9.

Therefore according to the divisibility rule of 9, the sum of all the digits should be a multiple of 9.

2+1+y+5=8+y

8+y=9y=1

This is possible when 8+y is any one of these numbers 0, 9, 18, 27, and so on …….

However, since y is a single digit number, this sum can be 9 only.

Therefore, y = 1


flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Why Divisibility Rules?
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon