A number when divided by 100 leaves a quotient (Q) and a
remainder (R). How many three-digit natural numbers are
there such that Q + R is divisible by 11?
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Answer Posted / kartik
FROM 100 TO 200 ANY NO DIVIDED BY 100 WILL GIVE Q AS 1
ALSO Q+R SHLD BE DIVISIBLE BY 11 SOIT CAN ONLY BE 11 22 33....
NOW...
Q+R Q THEREFORE THEREFORE
R NUMBER IS(Q*100+R)
11 1 10 110
22 1 21 121
33 1 32 132
44 1 43 143
55 1 54 154
66 1 65 165
77 1 76 176
88 1 87 187
99 1 98 198
THUS THERE A TOTAL OF 9 NOS BETWEEN 100 AND 200
LIKEWISE THERE WILL BE 9 NOS BET 200 AND 300 THEN 300-400
AND SO ON
SO THERE WILL BE 81 SUCH NOS
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