Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A merchant buys two items for Rs. 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal, the merchant makes neither any profit nor any loss. What is the difference between the selling price of both the items?

A) Rs. 620	B) Rs. 654
C) Rs. 725	D) Rs. 747

Answer & Explanation Answer: A) Rs. 620

Explanation:

Let the C.P of one item is Rs. P
and that of other is Rs. (7500 - P)

According to the data given
C.P = S.P
=> Px(116/100) + (7500-P)x(86/100) = 7500
=> 30P = 105000
=> P = 3500

Required difference between selling prices
= Rs. [(3500/100) x 116] - [(4000/100) x 86]
= 4060-3440
= Rs. 620

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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15 14720

Q:

Find the Value of ?

${(5.11)}^{2.2} + {(5.55)}^{3.3} + {(6.3)}^{1.4} + {(7.2)}^{2.001} = ? x 3.34$

A) 81	B) 77
C) 73	D) 89

Answer & Explanation Answer: D) 89

Explanation:

This can be done in a method called Approximation.

Now,

$5^{2} + 6^{3} + 6 + 7^{2} = ? x 3.34 25 + 216 + 6 + 49 = ? x 3.34 296 = ? x 3.34 ? = \frac{296}{3.34} = 88.622 ≅ 89$

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Filed Under: Mathematical Operations
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25 14718

Q:

Which unit holds data temporarily?

A) Secondary storage unit	B) Output Unit
C) Primary Memory Unit	D) Input unit

Answer & Explanation Answer: C) Primary Memory Unit

Explanation:

Memory is the part of the computer that temporarily holds data and instructions before and after they are processed by the ALU.

Memory is also known as primary storage, primary memory, main storage, internal storage, and main memory.

Manufacturers often use the term RAM, which stands for random-access memory.

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Filed Under: Computer
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23 14712

Q:

A person who writes books is called

A) Anthropologist	B) Archeologist
C) Author	D) Dendrologist

Answer & Explanation Answer: C) Author

Explanation:

A person one who writes books, stories or articles is called as an author.

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Filed Under: English
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29 14659

Q:

If x is a whole number, then x²(x² - 1) is always divisible by ?

A) 4	B) 8
C) 12	D) None

Answer & Explanation Answer: C) 12

Explanation:

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

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Filed Under: Numbers
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14 14654

Q:

Study the following information and answer the given question:

Point A is 10m to the south of B.Point G is 3 m to the east of A. Point H is 5 m to the south of G. Point D is 6 m to the west of H. Point C is 10 m to the north of D. Point K is 6 m to the east of C. Point L is 5 m to the north of K.

How far and in which direction is point B from point L?

A) 5 metres south	B) 4 metres east
C) 6 metres north	D) 3 metres west

Answer & Explanation Answer: D)

3 metres west

Explanation:

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Filed Under: Verbal Reasoning - Mental Ability
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2 14648

Q:

Study the information carefully and answer the question based on it.

Square: The person who reads English newspaper.

Triangle: The person who reads Marathi newspaper.

Circle: The person who reads Hindi newspaper.

How many people read only Marathi newspaper?

A) 30	B) 20
C) 60	D) 10

Answer & Explanation Answer: B) 20

Explanation:

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Filed Under: Image Analysis
Exam Prep: Bank Exams , CAT

2 14638

Q:

A Shopkeeper charges sales tax of x% upto Rs.2,000 and above it he charges y%. A customer pays total tax of Rs 320, when he purchases the goods worth Rs. 6,000 and he pay's the total tax of Rs. 680 for the goods worth Rs. 12,000. The value of (x-y) is:

A) 0	B) -2
C) -4	D) 5

Answer & Explanation Answer: B) -2

Explanation:

$2000 x \frac{X}{100} + 4000 x \frac{Y}{100} = 320$

and $2000 x \frac{X}{100} + 10000 x \frac{Y}{100} = 680$

x = 4 and y = 6

x-y = -2

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT
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14 14627

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