Sample Quantitative Questions for CAT

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CAT Sample Quantitative Questions-Direction for next quantitative questions: Answer the following quantitative questions on the basis of data given below.

In a company X, 5 employees drink tea, Coffee and milk. 4 employees drink only tea and milk, 1 employee drinks only tea and coffee. No employee takes only milk and coffee , 8 employees take only tea , 13 employees take only milk, 9 employees take only coffee.

In a company Y, 7 employees drink tea, Coffee and milk. 4 employees drink only milk and tea, 11 employees take only tea and coffee and 3 only milk and coffee. 5 employees drink only tea. 1 employee drinks only coffee and 12 employees drink only milk. There are 10 common employees in company X and Y who drink only milk.

1. What is the total no of employees in X and Y together?
a) 33
b) 73
c) 63
d) 43
e) 53
Answer b) 73

From the diagram , No of employees only in x = 30
No. Of employee only in Y = 33
Thus 10 common employees taking only milk .
Therefore, Total number of employees = 30 + 33 + 10 = 73 .

2. What is the ratio of number of employees of X taking milk to the number of employees of Y taking milk?
a) 13/12
b) 11/13
c) 12/16
d) 22/16
e) 13/26
2. Answer b) 11/13
No. of employees taking milk in X / No. of employees taking milk in Y
= 22/26 = 11/13.

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