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%, PLD (Profit, loss, discount), Ratio & Proportion, Mixtures

Q.No: 1
Test Name : CAT Paper 2001

Directions for questions 121 to 127: Each question is followed by two statements, I and II.

Mark
(a) if the question can be answered by one of the statements alone and not by the other.
(b) if the question can be answered by using either statement alone.
(c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
(d) if the question cannot be answered even by using both statements together.

Is Country X’s GDP higher than country Y’s GDP?
I. GDPs of the countries X and Y have grown over the past 5 years at compounded annual rate of 5% and 6% respectively.
II. Five years ago, GDP of country X was higher than that of country Y.

A
a
B
b
C
c
D
d
Answer key/Solution
Solution:
From statement I nothing can be said since exact figures are not given.
From statement II since X > Y (from B) we do not know how much X is greater than Y, because if it is slightly greater than it will be less than Y after 5 years whereas if the difference is very high, then X will be greater than Y even after 5 years.
Q.No: 2
Test Name : CAT Paper 1990
Questions. 51 to 58 : Each of the following questions is followed by two statements. MARK,
(a), if the question can be answered with the help of statement I alone,
(b), if the question can be answered with the help of statement II alone,
(c), if both, statement I and statement II are needed to answer the question, and
(d), if the statement cannot be answered even with the help of both the statements.

The unit price of product P1 is non-increasing and that of product P2 is decreasing. Which product will be costlier 5 years hence?
I. Current unit price of P1 is twice that of P2.
II. 5 years ago, unit price of P2 was twice that of P1.

A
B
C
D
Answer key/Solution
Solution:
Although using both the statements we can find out by how much has the price of P1 and P2 changed over the 5 years, we cannot answer the question that is being asked as it is no where mentioned that the rate of change is uniform.
Solution:
From statement I nothing can be said since exact figures are not given.
From statement II since X > Y (from B) we do not know how much X is greater than Y, because if it is slightly greater than it will be less than Y after 5 years whereas if the difference is very high, then X will be greater than Y even after 5 years.

Solution:
Although using both the statements we can find out by how much has the price of P1 and P2 changed over the 5 years, we cannot answer the question that is being asked as it is no where mentioned that the rate of change is uniform.

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