Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Which of the following is a rational number?

A) 0.241	B) 1.732
C) 4	D) All of the above

Answer & Explanation Answer: C) 4

Explanation:

Any number which can be expressed as a fraction of two integers like P & Q as P/Q where Q is not equal to zero.

Every integer is a rational number since Q can be 1.

Hence, in the given options, 4 can be expressed as a simple fraction as 4/1. And all other options cannot be expressed as fractions.

Hence, 4 is a rational number in the given options.

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Q:

____________has became the second city in the country, and the first in south India, to have a full-fledged Metro rail.

A) Bangalore	B) Chennai
C) Kerala	D) Hyderabad

Answer & Explanation Answer: A) Bangalore

Explanation:

Bengaluru has became the second city in the country, and the first in south India, to have a full-fledged Metro rail in operation following the opening of a final 12-km section of the 42-km first phase of the Metro project. The first phase, comprising an 18-km east-west line and a 24-km north-south line, built at a cost of Rs 13,845 crore, was dedicated to the nation by President Pranab Mukherjee at an event in Bengaluru.

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Q:

Planets do not twinkle because

A) Far distance	B) Total internal reflection
C) Refraction	D) Near distance

Answer & Explanation Answer: D) Near distance

Explanation:

Stars twinkle because they’re so far away from Earth that when light from the stars passes through the atmosphere, it is bent countless times due to refraction, making it look like as if they were blinking. The sun and other planets doesn’t twinkle because it’s too close to Earth compared to other stars.

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Q:

Which sentence is written correctly?

A) Ms. Praveena showed us a documentary in class today because the film, "focuses on a similar subject" to a book we are going to read.	B) Ms. Praveena showed us a documentary in class today because the film "focuses on a similar subject" to a book we are going to read.
C) Ms. Praveena showed us a documentary in class today because the film, "Focuses on a similar subject" to a book we are going to read.	D) Ms. Praveena showed us a documentary in class today because the film "Focuses on a similar subject" to a book we are going to read.

Answer & Explanation Answer: A) Ms. Praveena showed us a documentary in class today because the film, "focuses on a similar subject" to a book we are going to read.

Explanation:

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Q:

If $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$ then find the value of $x^{3} - 6 x^{2} + 6 x$ ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

Given that $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

So x - 2 = $2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

Now cubing on both sides, we get

=> $x^{3} - 8 - 6 x^{2} + 12 x = 4 + 2 + 6 (x - 2)$

Therefore, $x^{3} - 6 x^{2} + 6 x = - 6 + 8 = 2$

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Q:

Assuming the given statements to be true, find which of the two conclusions A and B given below is/are definitely true.

Statements: C < T < L= P > Q, N > C > Y

Conclusions: A. P > Y B. Y < P

A) only conclusion B is true.	B) only conclusion A is true.
C) neither conclusion I nor II is true.	D) either conclusion I or II is true.

Answer & Explanation Answer: A) only conclusion B is true.

Explanation:

From given statements, we can conclude that

N > C < T < L= P > Q .....(1)

Here given that C > Y but in eq(1) we got that C < T < T <= P => Y is definitely less than P.

So only conclusion B is True.

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Q:

Who is the new Chairman of ISRO in 2018?

A) K. Sivan	B) S. Manish Arya
C) A.S. Kiran Kumar	D) Bibeth Roy

Answer & Explanation Answer: A) K. Sivan

Explanation:

Rocket specialist K. Sivan has been appointed as new Chairman of India's space agency ISRO for a three-year term. He replaces current ISRO Chairman A.S. Kiran Kumar, whose term ends January 14, 2018.

He is currently Director of Vikram Sarabhai Space Centre in Trivandrum.

His expertise gave ISRO ability to send 104 satellites in a single mission.

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Q:

Opening in a wall to let in air or light

A) Ceiling	B) Door
C) Window	D) All the above

Answer & Explanation Answer: C) Window

Explanation:

The Opening in a wall to let in air or light is nothing but a Window.

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