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A square plot of some size , at four corners equal squares
of some size are cut and is formed as open box. If this
open box carries 128ml of oil. What is the size of the
plate i.e. side a.17 b.14 c.13 d.none
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Answer / asdf
all the answers are wrong it is 12
len * breadth * height must be 128
len = breadth since it is a square plot..
hence height = 2
len = 8 + 2 + 2 = 12 cm
| Is This Answer Correct ? | 30 Yes | 5 No |
Answer / leech
let, side of original plate be =x
also, side of the square at the corners= a
so, when the square at the corner is cut off, the length of the box is=x-2a
similarly, the breadth of the box is=x-2a
the height of the box would be invariably=a
so, the dimension of the open box=(x-2a)*(x-2a)*a=a*(x-2a)^2
so, we need to factorize 128 so that we get a square term & an integer.
case 1. 128=2*2*2*2*2*2*2=(2*2*2*2*2)*2*2=32*2*2
so, a=32, x-2a=2, x=2*32+2=66
case 2. 128=2*2*2*2*2*2*2=(2*2*2)*(2*2)*(2*2)=8*4*4
so, a=8, x-2a=4, x=2*8+4=20
case 3. 128=2*2*2*2*2*2*2=2*(2*2*2)*(2*2*2)=2*8*8
so, a=2, x-2a=8, x=2*2+8=12
so, the possible values of the side of the original square plate are 66, 20 & 12
none of these match the answer options provided in a. , b. or c.
so, the correct choice is d. or none
| Is This Answer Correct ? | 16 Yes | 1 No |
Answer / manoharnsr
THe answer cannot be determined as it can have multiple
answers and the question is silent about two things.
First:What is the shape of the box so formed - cube/Cuboid?
Second: What is the oil and what is its density (there are
several types of oils with different densities - if its
water the density is unity that is 1ml per 1CC)
So even by assuming the density to be unity and the
resultant box so formed is a cuboid we have more than one
answer. It cuold be 18 Cms (8*8*2) or 16Cms (4*4*8)
if it is a cube them the length of the side will be
slighlty above 15 Cms.
Guess this is a trick question to test the fundamentals of
the cadidates. one should be careful while answering such
questions as they involve certain assumptions.
| Is This Answer Correct ? | 9 Yes | 1 No |
Answer / sabarish
ans d) none
the volume is 128 ml.
since the container is cut to form a square , height -width-
length are equal.
cube root of 128. which equals 4.98 rounded to 5 ans.
| Is This Answer Correct ? | 12 Yes | 7 No |
Answer / bhupinder saini
ans- (d) none
sq. plate shd be of length-20cm
| Is This Answer Correct ? | 7 Yes | 4 No |
Answer / justin jose
A aquare plot can be divided into 9 equal squares.out of 9
four squares are at the corner .the corner squares are
removed and using other 6 small squares the box is built
now a*a*a = 125
a=5
Actual length of big square = 3a = 3*5 = 15
in the question a*a*a =128
Actual length of big square = 3a = 3*5.04 = 15.12
| Is This Answer Correct ? | 8 Yes | 9 No |
Answer / nidhi
Size of plate ie. side = 8
Reason:--
Four equal suares are cut from a square...it will form
another square.
Volume=128
i.e. length * breadth * height=128
or side*side *height = 128
If i consider that all values are integer only, then
putting heighjt=2, will only give me the integer values.
now side =8
And the length of one side of original plate = 10.
| Is This Answer Correct ? | 1 Yes | 7 No |
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