A set S has all 3-digit numbers which is divisible by 11 Mr A picks one numbers out from the

rakesh 242 when divided by 3 and 7 will give remainder 2 and 4 which is not equal.
10 years agoHelpfull: Yes(13) No(0)
all the 3- digit nos that are of the form 11k are
12,132,143,......209,220,...308,319,....407,418,...506,517,...606,616,...704,715,...803,814,...920,913,..990)
out of these the nos that are (7k and 3k')..or leave rem 1 or 2 are :
231,253,275,462,484,506,693,715,737,924,946,968 respectively
thus 12 such nis. exist .
10 years agoHelpfull: Yes(5) No(2)
12

remainder is same when divided by 3 and 7, LCM of 3,7 = 21
so number can be of form 21k, (21k+1),(21k+2)
also no. is divisible by 11 so, no. will be of form 11*21k,11*(21k+1),11*(21k+2)

i.e 231k, (231k+11) & (231k+22)
k=1,2,3,4

231,462,693,924 => rem=0
242,473,704,935 => rem=2
253,484,716,946 => rem=1
:) :)
10 years agoHelpfull: Yes(2) No(14)
remainder is same when divided by 3 and 7, LCM of 3,7 = 21
so number can be of form 21k, (21k+1),(21k+2)
also no. is divisible by 11 so, no. will be of form 11*21k,11*(21k+2),11*(21k+4)
here we didnt use 11*(21k+1) & 11*(21k+3) since it gives diffrnt remnder.
i.e 231k, (231k+22)&(231k+44)
k=1,2,3,4
solving we get 12 different nos

total = 12 numbers
10 years agoHelpfull: Yes(2) No(1)
Answer is 12 or 21?
10 years agoHelpfull: Yes(0) No(2)
S = { 121, 132, ........ , 990 }

set devided by 3 and 7 ={ 231, 462, 693, 924 } reamining ??????????
10 years agoHelpfull: Yes(0) No(2)

A set S has all 3-digit numbers which is divisible by 11. Mr. A picks one numbers out from the set which when divided by 3 and 7, remainder is same. How many numbers is possible to pick out by Mr. A?
a) 12
b) 21
c) 24
d) 36