CAT 1997 Question Paper

Let the speed of the car be x.

Using both the statements, we get a quadratic equation in x.

This equation will have 2 roots, one positive root and one negative root. So, we have to consider only the positive root.

The question can, therefore, be answered by using both the statements together.

Considering 1st statement alone:
As height is reduced to 1/3rd of it, radius will also get reduced 1/3rd of complete cone
Now we know volume is directly proportional to product of square of radius and height , we can calculate ratio of volumes.
Similarly considering 2nd statement alone, we can calculate ratio of volumes as we will have sufficient information regarding radius and height.
So answer will be B

 

Considering 1st statement alone:
We can find only one coordinate regarding both lines, which is insufficient information to calculate area.
Considering 2nd statement alone:
We have only one coordinate , regarding one line with insufficient information to calculate area.
Now if we consider both statements together, we can find points where lines are meeting co-ordinate axis and then area.
So our answer will be C.
 

Let the cost price of the Chair be x and that of the table be y.
Using statement 1)
Hence we get the total selling price = 1.15x + 1.2y and profit = 0.15x + 0.2y 
Using this alone we can't find the cost price of the chair.
Using Statement 2)
Total cost price = 1.10 x + 1.2y
Using Statement 1 and 2 together,
We get profit in second case = 0.05x.
Reduction in profit = (0.15x + 0.2y) - 0.05x = 0.1x + 0.2y = 20
Hence we can't deduce the value of x even after using both statements together.

From Statement 1, we know the speed of each runner.

From Statement 2, we can calculate the length of the track as we know the speed of runner every second.

But the answer cannot be determined as we do not know the direction of each runner.

Peel and Peal sound fairly similar but have completely different meanings. Peel is used to as a verb to remove the outer coating of fruits, etc. Peal is a noun and relates to the sound made by ringing bells. Similarly rain and reign sound fairly alike but mean very different and also have noun and verb difference.

Doggerel is a type of poetry and hence poet is associated with doggerel. Similarly pul fiction is a type of novel and hence novelist is associated with it.

In this analogy, a conclusion is derived from a premise. Similarly inference is derived from assumption. Marketing is not derived from brand. Neither is idea or books derived from hypothesis or knowledge. Option A is correct.

Barge and vessel are synonyms for a large boat.

Shovel and implement are synonyms for a tool used for a particular purpose.

Hence, shovel and implement share the same relationship as barge and vessel.

Obsession is an extreme form of love. Similarly Misery is an extreme form of Sorrow. Hence option d is correct.