Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part. Then B came to the room and he divided the laddoos into four equal parts and A and B ate their part. Then C came to the room he divided the laddoos into four equal parts and he ate his part. Then at the last D came to the room he also divided the laddoos into four equal parts and he ate his part. The number of laddoos D ate was 3.
1. How many laddoos did A eat?
2. How many laddoos did B eat?
3. How many laddoos did C eat?
4. How many laddoos were there in the box altogether?
Say there are x laddoes. A shares x/4 each to himself, B,C,D. n eates it (A=x/4) B comes and shares x/4*4 to each and eat (A=x/4+x/16, B=x/16) C comes , shares x/4*4*4 to each and eat (A=x/4+x/16, B=x/16, c=x/64) D comes, shares x/4*4*4*4 to each and eat (A=x/4+x/16, B=x/16, c=x/64, D=x/256)
as its given D eats 3: x/256 =3 => x=768 (Clear)
let us check it with c = x/64 => 768/64 = 12
B = x/16 =>768/16 = 48
A = x/4 + x/16 => 192+48 = 240
A=240, B=48,C=12 D=3.
Above answer was rated as good by the following members: ghf13
RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.
A eat 71 laddos B eat 39 laddos C eat 15 laddos Total laddos were 128
ApproachSince D eat 3 laddos that means when he came he saw there were 12 laddos (3*4)That means when C came in he must have seen 48 (12*4) laddos and divided then in four parts each which left 12 for D.Now important point to note here is that when C came he saw 48 laddos which were actually for C and D 24 each because if B has divided in 4 equal part he would have eat 24, give A as 24 and left 24 each for C and D. That gives us step that When B came in must have seen 96 (24*3) laddos. Which were actually for B, C and D. That gives us answer that when A got the box there should be 128 laddos which he divided in 4 equal parts of 32 each.So if we sum up laddos which A must have eat it will be (32+24+12+3)
RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.
RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.
RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.
Hi All, My approach is quite simple:
Say there are x laddoes. A shares x/4 each to himself, B,C,D. n eates it (A=x/4) B comes and shares x/4*4 to each and eat (A=x/4+x/16, B=x/16) C comes , shares x/4*4*4 to each and eat (A=x/4+x/16, B=x/16, c=x/64) D comes, shares x/4*4*4*4 to each and eat (A=x/4+x/16, B=x/16, c=x/64, D=x/256)
RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.
no: of laddoos A ate is 240 no: of laddoos B ate is 48 no: of laddoos c ate is 12 total no: of laddoos in the box is 768
RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.
RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.
RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.
1. How many laddoos did A eat?
18.66667
2. How many laddoos did B eat? 8 3. How many laddoos did C eat? 4 4. How many laddoos were there in the box altogether? 3
RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.
1. How many laddoos did A eat? 18.66 2. How many laddoos did B eat? 8 3. How many laddoos did C eat? 4 4. How many laddoos were there in the box altogether? 42.66