# Quantitative Aptitude and Data sufficiency Quiz for CAT, XAT

Dear readers,

This quiz consists of questions from

various past actual Cat papers. Leave your answers/ responses in the comments

section below and soon we’ll let you know the correct answers!

**1. A man has 9 friends: 4 boys and 5 girls. In how
many ways can he invite them, if there have to be exactly 3 girls that should
be invited? **

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a. 320 b.

160 c. 80 d. 200

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**2. In a watch, the minute hand crosses the hour hand
for the third time exactly after every 3 hr 18 min and 15 s of watch time. What
is the time gained or lost by this watch in one day? **

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a. 14 min 10 s lost b. 13 min 50 s lost c. 13 min 20 s gained d. 14 min 40 s gained

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**3. I sold two watches for Rs. 300 each, one at the
loss of 10% and the other at the profit of 10%. What is the percentage of
loss(-) or profit(+) that resulted from the transaction? **

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a. (+)10 b. (-)1 c. (+)1 d. (-)10

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**Direction for questions 4 to 10: Each
question is followed by two statements, I and II. Mark the answer as **

**a. if the question cannot be answered even
with the help of both the statements taken together. **

**b. if the question can be answered by any one of the two statements. **

**c. if each statement alone is sufficient to
answer the question, but not the other one (e.g. statement I alone is required
to answer the question, but not statement II and vice versa). **

**d. if both statements I and II together are
needed to answer the question.**

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**4. What is the ratio of the two liquids A and B in the
mixture finally, if these two liquids kept in three vessels are mixed together?
(The containers are of equal volume.) **

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I. The ratio of liquid A to liquid B in the first and

second vessel is 3 : 5, 2 : 3 respectively.

II. The ratio of liquid A to liquid B in vessel 3 is 4

: 3.

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**5. What is the cost price of the article? **

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I. After selling the article, a loss of 25% on cost

price is incurred.

II. The selling price is three-fourths of the cost

price.

**6. What is the selling price of the article? **

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I. The profit on sales is 20%.

II. The profit on each unit is 25% and the cost price

is Rs. 250.

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**7. How many different triangles can be formed?**

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I. There are 16 coplanar, straight lines.

II. No two lines are parallel.

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**8. What is the total worth of Lakhiram’s assets?**

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I. A compound interest at 10% on his assets, followed

by a tax of 4% on the interest, fetches him Rs. 1,500 this year.

II. The interest is compounded once every four months.

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**9. How old is Sachin in 1997? **

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I. Sachin is 11 years younger than Anil whose age will

be a prime number in 1998.

II. Anil’s age was a prime number in 1996.

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**10. What is the number of type-2 widgets produced, if
the total number of widgets produced is 20,000? **

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I. If the production of type-1 widgets increases by

10% and that of type-2 decreases by 6%, the total production remains the same.

II. The ratio in which type-1 and type-2 widgets are

produced is 2 : 1.

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