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Miscellaneous(sets theory etc)

Q.No: 1
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 67 to 69: Answer the questions on the basis of the information given below.

Each point in the graph below shows the profit and turnover data for a company. Each company belongs to one of the three industries: textile, cement and steel.

For how many companies does the profit exceed 10% of turnover?

A
8
B
7
C
6
D
5
Answer key/Solution
Solution:
Here the scale of the profit axis is exactly 10% of the scale of turnover axis. Just draw a diagonal line from bottom left point to top right point. All companies lying above this line have profit in excess of 10% of turnover.
From the graph, there are 7 companies, has the profit 10% of turnover.
Q.No: 2
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 67 to 69: Answer the questions on the basis of the information given below.

Each point in the graph below shows the profit and turnover data for a company. Each company belongs to one of the three industries: textile, cement and steel.

For how many steel companies with a turnover of more than 2000 is the profit less than 300?

A
0
B
1
C
2
D
7
Answer key/Solution
Solution:
From the graph there are 2 steel companies with a turnover of more than 2000 and profit less than 300.
Q.No: 3
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 67 to 69: Answer the questions on the basis of the information given below.

Each point in the graph below shows the profit and turnover data for a company. Each company belongs to one of the three industries: textile, cement and steel.

An investor wants to buy stock of only steel or cement companies with a turnover more than 1000 and profit exceeding 10% of turnover. How many choices are available to the investor?

A
4
B
5
C
6
D
7
Answer key/Solution
Solution:
From the graph there are 5 companies.
Solution:
Here the scale of the profit axis is exactly 10% of the scale of turnover axis. Just draw a diagonal line from bottom left point to top right point. All companies lying above this line have profit in excess of 10% of turnover.
From the graph, there are 7 companies, has the profit 10% of turnover.

Solution:
From the graph there are 2 steel companies with a turnover of more than 2000 and profit less than 300.

Solution:
From the graph there are 5 companies.

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