CAT 2001 Question Paper

Total tonnes of transportation by both rail and road is about  31*12/100 = 3.72 million tonnes and total cost incured 18*30/100 = 5.4 .

Hence required value is 5.4/3.72 which is about 1.5.

Hence option B . 

Cheapest mode of transport will be the one which will have highest transport volume and comparatively lowest cost. We can figure out from the graph that Road have wide gap with very less costs. 

For Road, Cost = 6/22

For Rail, Cost = 12/9

For Pipeline, = 65/49

For Ship, Cost = 10/9

Lowest cost is for road.

If the costs per tonne of transport by ship, air and road are represented by P, Q and R respectively.

P = 10/9

Q = 7/11

R = 6/22

We can see that P>Q and Q>R  and P>R. Hence option C. 

E = 3Y
Z = W/2
Y > Z
So, Y > W/2 => 2Y > W => 2E/3 > W => E > 3W/2 => E > W
So, Elle is older than W

E = 3Y
Z = W/2
Y > Z

Using statement A alone, Z and W can be determined but not E

Using statement B, Y = W. So, using this statement alone, we can get a relation between all the four ages but cannot determine the absolute values.

Using both the statements, we can determine the value of E.

10 = W/2

W = 20 = Y

E = 3*20 = 60

So, c) is the correct answer.

Shyam and Rahim have to be selected together. This rules out options a) and c). Ram will be in the group only if Peter is also there. This rules out option d). Option b) is a feasible group

David and Peter cannot be selected together. So, option d) is not possible.
David and Fiza have to be selected together. So, option b) is ruled out.
Shyam and Rahim have to be selected together. So, option a) is also ruled out.
Option c) is the correct answer

If Ram is selected, Peter also has to be selected. If Kavita is selected, David also has to be selected. But, Peter and David cannot be selected together. So, option a) is false.

If both the women are selected, David has to be selected. If David is selected, Peter cannot be selected. So, Ram also cannot be selected. Shyam and Rahim have to be selected together but there is room for only one more person. So, option b) cannot be true.

If David is selected in the group, Fiza has to be there. So, David cannot be in a group of all men. But, Ram and Shyam cannot be selected together. So, a group of all men is not possible. So option c is false.

Using either statement alone, we cannot answer the question.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30. From the information given in both statements, the value of m is 15, and n is 2. So, option c).

This is a previous year's CAT question. We can also consider the negative values, which gives us other possibilities. So, a single answer can't be obtained. 

Even by using both the statements, we do not know whether country X has a higher GDP than country Y because we do not know the absolute values of the GDPs 5 years back. So, the question cannot be answered.