# If the 4-digit number x27y is exactly divisible by 9, then the least value of (x + y) isA. 0B. 3C. 6D. 9

We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.

Here,

x + 2 + 7 + y = multiple of 9

x + y + 9= 0, 9, 18, …

Hence,

x + y + 9 = 9

x + y =0

But x + y cannot be 0 because then x and y both will have to be 0.
Since x is the first digit, it cannot be 0.
x + y + 9 = 18

x + y = 9

the least value of (x + y) is 9

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Who will Win the Game?41 mins
Quiz on Divisibility Test32 mins
Divisible or not41 mins
Mastering Divisibility Test42 mins
NCERT | Divisibility Test43 mins
Quiz | Imp. Qs. on Playing With Numbers45 mins
Properties of Rational Numbers29 mins
On the Number line44 mins
Essentials of Rational Numbers45 mins
Missing Numbers55 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses