Question

Which one number amongst the following numbers is divisible by 11?

• A. 5356
• B. 3623
• C. 1237
• D. 1650

Answer 1

The correct option is D 1650

a) 5356 -> Sum of digits at odd places $\left(O\right)=6+3=9$
Sum of digits at even places $\left(E\right)=5+5=10$
Difference $O–E=9–10=-1$ (not divisible by 11)

b) 3623 -> Sum of digits at odd places $\left(O\right)=6+3=9$
Sum of digits at even places $\left(E\right)=3+2=5$
Difference $O–E=9-5=4$ (not divisible by 11)

c) 1237 -> Sum of digits at odd places $\left(O\right)=7+2=9$
Sum of digits at even places $\left(E\right)=3+1=4$
Difference $O–E=9–4=5$ (not divisible by 11)

d) 1650 -> Sum of digits at odd places $\left(O\right)=0+6=6$
Sum of digits at even places $\left(E\right)=5+1=6$
Difference $O–E=6-6=0$ (divisible by 11)

So, 1650 is divisible by 11.