@gautam22 said:sir 8*6 hoga ye 4*12 kya kara hai aapne?
Another one:
There are 3 identical cubical boxes P, Q, R.. Box P is perfectly packed with 216 identical solid balls, Q with 64 and R with 27. In each box, each layer has the same no of balls and the bordering balls of each layer touch the sides of the box. Which is the heaviest box?
P
Q
R
All are same wt
There are 3 identical cubical boxes P, Q, R.. Box P is perfectly packed with 216 identical solid balls, Q with 64 and R with 27. In each box, each layer has the same no of balls and the bordering balls of each layer touch the sides of the box. Which is the heaviest box?
P
Q
R
All are same wt
@sonamaries7 said:Another one:There are 3 identical cubical boxes P, Q, R.. Box P is perfectly packed with 216 identical solid balls, Q with 64 and R with 27. In each box, each layer has the same no of balls and the bordering balls of each layer touch the sides of the box. Which is the heaviest box?PQ RAll are same wt
What does the word "identical balls" mean?? Do they have same radius or the density is same??
If same radius..to question kuch zada he simple hojaega
@ScareCrow28 said:What does the word "identical balls" mean?? Do they have same radius or the density is same??
thats all it says...i thnk it shud be the density...
@sonamaries7 said:Another one:There are 3 identical cubical boxes P, Q, R.. Box P is perfectly packed with 216 identical solid balls, Q with 64 and R with 27. In each box, each layer has the same no of balls and the bordering balls of each layer touch the sides of the box. Which is the heaviest box?PQ RAll are same wt
Accordingly it shud be R. as no connection is given between balls of the three boxes.
Otherwise it shud be CBD.
@sonamaries7 said:Another one:There are 3 identical cubical boxes P, Q, R.. Box P is perfectly packed with 216 identical solid balls, Q with 64 and R with 27. In each box, each layer has the same no of balls and the bordering balls of each layer touch the sides of the box. Which is the heaviest box?PQ RAll are same wt
All are same wt
@sonamaries7 said:Another one:There are 3 identical cubical boxes P, Q, R.. Box P is perfectly packed with 216 identical solid balls, Q with 64 and R with 27. In each box, each layer has the same no of balls and the bordering balls of each layer touch the sides of the box. Which is the heaviest box?PQ RAll are same wt
jitni jayada balls utna jayada volume waste hoga I guess..so is it 27 mam 
nhn hai toh fir mathematical approach se verify karna padega..
nhn hai toh fir mathematical approach se verify karna padega..
@sonamaries7 said:Another one:There are 3 identical cubical boxes P, Q, R.. Box P is perfectly packed with 216 identical solid balls, Q with 64 and R with 27. In each box, each layer has the same no of balls and the bordering balls of each layer touch the sides of the box. Which is the heaviest box?PQ RAll are same wt
R.... If not given, only thing we can assume that all balls have same density... So the gaps wil be least in box R between the balls as there are only 3 in each row and column... Hence higher density and higher wt.!!
@audiq7 said:@sonamaries7 all are same wt
@deedeedudu :guys, share ur approach also...
i am out of the box
i am out of the box
@maddy2807 said:explain
We just have find the total volumes of the balls since their density is same
Let the side of box be x
The box with 216 balls have 6 balls in each row
Radius of each ball is x/12
Volume=4/3pi*(x/12)^3*216=(4/3pi*x^3)/8
Similarly box with 64 balls have radius x/8
Volume=4/3pi*(x/8)^3*64=(4/3pi*x^3)/8
Likewise for the third
Since volume is same weight of all the boxes will be same
Let the side of box be x
The box with 216 balls have 6 balls in each row
Radius of each ball is x/12
Volume=4/3pi*(x/12)^3*216=(4/3pi*x^3)/8
Similarly box with 64 balls have radius x/8
Volume=4/3pi*(x/8)^3*64=(4/3pi*x^3)/8
Likewise for the third
Since volume is same weight of all the boxes will be same
All are same.. I think obviously radii are different since balls are touching the sides.. Hence density is same..
Now if we calculate the total volume of all the balls in different boxes ..that comes out to be same for all.. Hence Mass is same in all the three boxes..Therefore all have same weight ..
Now if we calculate the total volume of all the balls in different boxes ..that comes out to be same for all.. Hence Mass is same in all the three boxes..Therefore all have same weight ..
@maddy2807 all r same wt. suppose radius of a ball in p is 2cm. so side of p will be 24. so sides of q and r are also 24. now in these 24cm, p has 6*6*6 balls of radius 2. Q has 4*4*4 balls of radius 3. R has 3*3*3 balls of radius 4. if u compare the volume of ball multiplied by no. of balls, result comes the same. so all r same wt.
P, Q, R, S, T, U, V and W are sitting round the circle and are facing the centre:
P is second to the right of T who is the neighbour of R and V.
S is not the neighbour of P.
V is the neighbour of U.
Q is not between S and W. W is not between U and S.
Which two of the following are not neighbours ?
A. RV
B. UV
C. RP
D. QW
P.S. Question Posted just to break this eerie silence
P is second to the right of T who is the neighbour of R and V.
S is not the neighbour of P.
V is the neighbour of U.
Q is not between S and W. W is not between U and S.
Which two of the following are not neighbours ?
A. RV
B. UV
C. RP
D. QW
P.S. Question Posted just to break this eerie silence
@ScareCrow28 said:P, Q, R, S, T, U, V and W are sitting round the circle and are facing the centre:P is second to the right of T who is the neighbour of R and V.S is not the neighbour of P.V is the neighbour of U. Q is not between S and W. W is not between U and S.Which two of the following are not neighbours ?A. RV B. UV C. RP D. QWP.S. Question Posted just to break this eerie silence
option A
@sonamaries7 said:Another one:There are 3 identical cubical boxes P, Q, R.. Box P is perfectly packed with 216 identical solid balls, Q with 64 and R with 27. In each box, each layer has the same no of balls and the bordering balls of each layer touch the sides of the box. Which is the heaviest box?PQ RAll are same
Box P... 216 balls... 6 balls in each row and column...
Let radius be 1 unit...
dia- 2units..
side of the cube = 2*6=12 unit..
volume = (1^3) *216 = 216 cubic units( Ignoring constant terms,, just assume as ratios)
Box R... 27 balls... 3 balls in each row & column..
Side of the cube = 12 units
Dia 12/3 = 4 units
rad= 2 units
volume (2^3) * 27 = 216 cubic units!!
Similarly for box q.. My bad,, all are same weight!! bigger balls have bigger gaps so it all nullifies!!