Question 56

Which of the following number is divisible by 11?

Solution

If the positive difference between the sum of even digits and odd digits (starting from unit's place) is divisible by 11, then the number is also divisible by 11.

(A) : 44433 = $$(3+4+4)-(3+4)=11-7=4$$

(B) : 45332 = $$(2+3+4)-(3+5)=9-8=1$$

(C) : 23581 = $$(1+5+2)-(8+3)=8-11=3$$

(D) : 59609 = $$(9+6+5)-(0+9)=20-9=11$$

In the above numbers, only in the last option, 11 is divisible by 11, hence 59609 is divisible by 11.

=> Ans - (D)


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