Gems Interview Questions, Process, and Tips

underroot(1-r^2)/3

first fill 3quart pail and pour in 5quart pail.fill again 3
quart pail and fill remaining 2 quarts in 5 quart
pail.hence 1 quart remains in 3quart pail.empty 5quart pail
and pour 1 quart from 3 quart pail. also add another 3
quart from 3 quart pail. hence 1 + 3 quarts = 4 quarts.

20/- per day
So, if he work one day
So,1*20=20
1/3*20=20/3
2/3*20=40/3
1/8*20=5/2
3/4*20=15
so,
20+20/3+40/3+5/2+15=57.5
So ans is 57.5 is the ans

Joe is fencing in a square area of 576 square feet.
Fence posts, which are needed every three feet, cost 32.00 each.
The fencing cost 4.50 per foot. What is the total cost of the fencing materials?

Solution:-
Area of Square is 576 sq ft.
so, the length of side = root(576) = 24 ft

Since the fencing would be done on the perimeter, we would need that
formula is 4*side = 96 ft.

Number of Fence post needed = 96/3 = 32

1 Fence post cost = 32
32 Fence Post cost = 32 * 32 = 1024

Fencing cost = Perimeter * fencing cost = 96 * 4.5 = 432

Total Cost = 432 + 1024 = 1456

1×2×…100=100!
Number of zeros in product of n numbers =[5n​]+[52n​]+[53n​]+…
Number of zeros in product of 100 numbers =[5100​]+[52100​]+[53100​]
where [.] is greatest integer function
=[20]+[4]+[0.8]=20+4=24

Diagonal of square=1.414* a, where a is side of square.
ans=1.414*20
ans=28.28

20kmph

3.14

volume of a sphere is 4/3 * pi * r^3
by drilling a hole 6 inches long the volume of the sphere is
not affected bcos the hole is a 1 dimension quantity..(say a
straight line) n so it does not have any value w.r.t volume…
hence the volume of the sphere does not change..

79

saying 20%alcohol in 15 litre solution.

It means (20/100)*15=3 litres

Now 5 litre of water is added not alcohol.

So it means only the volume of solution is increases by 5 not alcohol.

It means 15+5=20

Now % of alcohol is

(3/20)*100=15%.

1) time =20mins,speed=15kmph=15*(5/18)=25/6 m/sec
distance=20*(25/6)=250/3 m
then 2) given as time =15min
speed=250/3*15=(50/9)*(18/5)kmph=20kmph

5x/4

Here is the ans with explanation…..
Just divide 48 hours into 8 parts…
for flowchart its 1/4 so it is 2/8 = 12hours
For Coding it is 3/8 = 18 hours
the rest is again 3/8 = 18 hours for debugging..

brother

2 urns, 9 balls.
4(2)+1=9 and 3(2)+3=9
You can’t put 4 balls in each of 7 urns with balls left over when 7*4=28. 28>24.