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

The number 4a6 is divisible by 3. Find the least value of a.

A
0.0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
7
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 2
For a number to be divisible by 3, the sum of all the digits of the number should be divisible by 3.
The number given is 4a6.

Sum of digits = 4 + a + 6
= 10 + a

If a=0
Sum of digits = 10 + 0 = 10.

If a=1
Sum of digits = 10 + 1 = 11.

If a=2
Sum of digits = 10 + 2 = 12.
12 is divisible by 3.

Therefore, the least value of a is 2.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Divisibility for 3 and 9
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon