NTSE Stage 2 MAT 2014 Question Paper

Let a & b be the speed of boat and the speed of the current
From statement I
According to statement I
a = b + 2
a – b = 2 ...(i)
From statement II
b = a + 1
b – a = 1 ...(ii)
Compare statement (i) & (ii), we get the speed of the boat is not possible.
From statement III
x=

y

(a+b)

+

y

(a−b)

x

y

=

2a

(a+b)

(a−b) ...(iii)
Compare equation (i) & (iii), we get

x

y

=

2a

(2a−2).2

2ax−2x=ay
∴ a=

2x

2x−y

So the speed of boat =

2x

2x−y

Thus statement I & III together are sufficient for answering the problem.