Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A line is an undefined term because it

Answer

A line is an undefined term because of it :

1. Contains an infinite number of points

2. can be used to create other geometric shapes

3. is a term that does not have a formal definition

In Geometry, unless it's stated, a line will extend in one dimension and goes on forever in both ways.

Workspace

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Subject: Analytical Reasoning Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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17 6029

Q:

Ravi, Anand and Pranay are running a business firm in partnership. What is Anand's share in the profit earned by them?

a. Ravi, Anand and Pranay invested the amounts in the ratio of 2 : 4 : 7.

b. Pranay's share in the profit is Rs. 8750.

A) Only a is sufficient	B) Neither a nor b is sufficient
C) Only b is sufficient	D) Both a and b sufficient

Answer & Explanation Answer: D) Both a and b sufficient

Explanation:

Given Pranay's profit in the share is Rs. 8750

But given that their investments are in the ratio 2:4:7

$\frac{7}{13} \times P$ = 8750

P = 16250

Now Anand's share = $\frac{4}{13} \times 16250$ = Rs.5000

Thus both staements a and b are sufficient to answer this question.

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Filed Under: Partnership
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3 6028

Q:

Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ?

A) 43929	B) 59049
C) 15120	D) 0

Answer & Explanation Answer: A) 43929

Explanation:

Number of words with 5 letters from given 9 alphabets formed = $9^{5}$

Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = $9 P_{5}$

Number of words can be formed which have at least one letter repeated = $9^{5} - 9 P_{5}$

= 59049 - 15120

= 43929

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Filed Under: Permutations and Combinations
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11 6027

Q:

Who is known as "Iron Lady of India"?

A) Rani Laxmi Bai	B) Sonia Gandhi
C) Indira Gandhi	D) None of the above

Answer & Explanation Answer: C) Indira Gandhi

Explanation:

Indira Gandhi the first Prime Minister of India is known as the Iron Lady of India.

Who_is_known_as_Iron_Lady_of_India1542609309.jpg image

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Filed Under: Indian History
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9 6025

Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) 42	B) 72
C) 110	D) 152

Answer & Explanation Answer: D) 152

Explanation:

$42 = 7^{2} - 7$

$9^{2} - 9$ = 72

$11^{2} - 11$ = 110

$12^{2} + 8$ = 152

Except 152, others show the same trend.

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Filed Under: Classification
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20 6021

Q:

Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ?

A) 50 yrs	B) 47 yrs
C) 45 yrs	D) 42 yrs

Answer & Explanation Answer: A) 50 yrs

Explanation:

Let age of retirement = S
so according to the given condition 25000(x-20)
=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)
= 30000 + 210000 + 30000S-990000
= 30000S - 750000
or 25000S - 500000 = 30000x - 750000
or 5000x = 250000
or S = 50 yrs.

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Filed Under: Problems on Ages
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4 6015

Q:

Greek Roman art has found a place in

A) Buddhist Art	B) Ellora
C) Kalinga	D) Gandhara

Answer & Explanation Answer: A) Buddhist Art

Explanation:

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Filed Under: General Awareness
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8 6004

Q:

What Does BIOS Stand For

A) Backup Input Output System	B) Battery Integrated Operating Setup
C) Basic Input Output System	D) Better Integrated Operating System

Answer & Explanation Answer: C) Basic Input Output System

Explanation:

BIOS in computers stands for Basic Input Output System.

BIOS is a set of computer instructions in firmware which control input and output operations.

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Filed Under: Computer
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25 6000

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