Latest Infosys Aptitude Question SOLUTION: If 5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days then how many artists are required to make 25 paintings using 25 canvases in 25 days?

5/2=25/X
x=50/5;
x=10;
5/2=25/10;

That is 5/2 artists r required to make 25 paintings.

here A=artists and P= painting C = canvases d=day
A is direct proportional Pand C but inverse proportional to d

so we can write
A==K*P*C/d here k is constant
solve
5/2=(K*5/2*5/2)/5/2
so k=1
A=P*C/d
A=25*25/25
A =25 day

2.5--can do in 2.5work in 2.5 days
1 can do 2.5/6.25 in 1 one day=0.4
so 1 can do .4*25 work in 25 days=10
so 2 cand do 50*.4=20
so 5/2 is the answer

we can't mention a person as 5/2 or in any other fractions...if so is the person alive or the 1/2 portion of a person is cut off?

The amount of work to be done and time required to the do the work are directly proportional to each other. If we change the amount of work to be done and we change the time taken by the same quantity, everything else will remain the same.

In this case, the work to be done has become 10 times of the original (from 2.5 paintings on 2.5 canvases to 25 paintings on 25 canvases) and the time taken has also become 10 times (from 2.5 days to 25 days)
=> Everything else will remain the same.
=> No. of artists will remain to be 2.5

Long answer:

This is a question which is actually quite simple but looks too complex.
5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days basically means that an artist takes 2.5 days to make a painting on a canvas.

To solve these kind of questions, it is important to reduce them to a per capita (like we have done above).
So, if an artist takes 2.5 days for a painting on a canvas he would take 2.5*25 days for 25 paintings on 25 canvases.
But we want it done in 25 days.
This is possible if we employ more people (artists).
If we wanted it done in 1/2 the time, we would need twice the people.
If we wanted it done in 1/3rd of the time, we would need thrice the people.
If we wanted it done in 4/17th of the time, we would need 17/4 times the people.

In this case, we want it done in 1/2.5 th of the time, so we would need 2.5 times the people
=> We need 2.5 artists.

More artist more paintings(direct proportion)
More artist more canvas (direct proportion)
More artist less days (indirect proportion)
Thus,
((5/2)*(5/2))/((5/2)*(5/2)) = x*25/25*25

Solving above equation we get,

x = 25

Thus 25 artist are required.. anssssss................

here each painting we need one canvas so they both are equal no need to consider that. but here m=artists
d=days
w=paintings
then m1d1w2=m2d2w1
so
(5/2)(5/2)(25)=(x)(25)(5/2)
then x= 5 artists required here days has been increased so artists number is changing otherwise if days =5/2 then 25 artists are required.
so 5 artists is the ansssssssssss

25 artists are required to 25 paintings in 25 dayzzzz...;)

can anyone tell me the correct answer? whether it is 5/2 or 25? please do reply the correct answer soon!!

25 is right answer (as there is no 2.5 in options)
for explanation look into RAVI PRAKASH's answer