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Q.
If a number 72k23l is divisible by 88. Then find value of k and l ?
A.
k=8 & l=2
B.
k=7 & l=2
C.
k=8 & l=3
D.
k=7 & l=1
View Answer
Correct choice: B
Explanation:
If a number to be divisile by 88, it should be divisible by both "8" and "11" Check for '8' : For a number to be divisible by "8", the last 3-digit should be divisible by "8" Here 72x23y --> last 3-digit is '23y' So y=2 [ (i.e) 232 is absolutely divisible by "8"] Chech for '11' : For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11" (7 + x + 3) - (2 + 2 + y) (7 + x + 3) - (2 + 2 + 2) (10 + x) - 6 should be divisible by "11" for x = 7 => 17 - 6 = 11 [ which is absolutely divisible by "11"] So x = 7 , y= 2.
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