NTSE Stage 2 MAT 2014 Question Paper

From statement I

1

2

C=A
C = 2A
b Now let A can complete a work in y day
∴ C = 2y
Now A, B and C together can complete a work in x day.
∴ B’s one day work
=

1

x

−(

1

y

+

1

2y

)
=

1

x

−

3

2y

=

2y−3x

2xy

So B can do a work in

2xy

2y−3x

day
From statement II
A+C=

1

2

B
B = 2(A + C)
Let A & C together can complete in m days
∴ B = 2m days
From statement III
A and C taken together can complete the work in ‘z’ day
∴ B’s one day work =

1

x

−

1

2

=

z−x

2x

∴ B can complete the work in

2x

z−x

days.
So either II or III are sufficient for answering the problem.