Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Although Blind, Deaf and Dumb, She graduated from college and achieved high distinction as a writer and scholar. Who was she ?

A) Anna Pova	B) Samantha Fox
C) Sheila Gujral	D) Helen Keller

Answer & Explanation Answer: D) Helen Keller

Explanation:

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Filed Under: Famous Personalities
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Q:

I, J , K and L are all distinct individual. I is the daughter of J. J is the son of K and 'K' is the father of L. If B is the son of J and B has one brother, 'D'. Then which of the following statements is/ are true ?

I. I is the sister of D.

II. D and B are brother.

III. K is the grand father of D.

A) Only I	B) I & II
C) Only III	D) All of these

Answer & Explanation Answer: D) All of these

Explanation:

K

|

J -- L

|

I -- D -- B

Here I is female

J, K, L & D , B are males

Then from the above conditions,

All of the given statements are true.

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Filed Under: Blood Relations
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Q:

Karthik could cover a distance of 200 km in 22 days while resting for 2 hrs. per day. In how many days (approx) he will cover a distance of 250 km while resting for 2 hrs. per day and moving with 2/3rd of the previous speed ?

A) 41.25 days	B) 37.5 days
C) 39.75 days	D) 40 days

Answer & Explanation Answer: A) 41.25 days

Explanation:

Given Karthik can cover the distance of 200 kms resting 2 hrs per day in 22 days.

Let the initial speed be '1'

Hence, Time = 22(24hrs - 2)

Noe new speed = 2/3

Let the number of days he take be 'D'

Therefore, $\frac{22 (24 - 2) x 3}{200} = \frac{D (24 - 2) x 2}{250}$

D = 11 x 3 x 5/4 = 41.25 days. = 41 1/4 days.

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Filed Under: Time and Distance
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Q:

Which statement best compares a line and a point?

A) A point has no dimension and a line has one dimension.	B) A line can have line segments on it whereas a point cannot be on any line segment.
C) point is a location whereas a line has several planes located on it	D) A line can lie on a plane whereas a point cannot lie on a plane.

Answer & Explanation Answer: A) A point has no dimension and a line has one dimension.

Explanation:

A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

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Filed Under: Arithmetical Reasoning
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Q:

What has a foot but no legs?

Answer

A measuring device.

Measuring devices have feet on them to measure distance.

Workspace

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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Q:

Find out which pair of words can be filled up in the blanks in the sentence to make the sentence meaningfully complete.

The policy on foreign direct investment in multi- brand retail may be _______ in a political impasse, but big retail chains are using India as sourcing base and making an _________ on local businesses.

A) Caught, impact	B) Caught, effect
C) Fetched, affect	D) Fetching, impact

Answer & Explanation Answer: A) Caught, impact

Explanation:

Caught - according to the sentence given caught means to become involved in something, often without wanting to.

Impasse - means a situation in which further development is impossible.

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Filed Under: Logical Sequence of Words
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Q:

Find the sum of the all the numbers formed by the digits 2,4,6 and 8 without repetition. Number may be of any of the form like 2,24,684,4862 ?

A) 133345	B) 147320
C) 13320	D) 145874

Answer & Explanation Answer: B) 147320

Explanation:

Sum of 4 digit numbers = (2+4+6+8) x $P_{3}^{3}$ x (1111) = 20 x 6 x 1111 = 133320

Sum of 3 digit numbers = (2+4+6+8) x $P_{2}^{3}$ x (111) = 20 x 6 x 111 = 13320

Sum of 2 digit numbers = (2+4+6+8) x $P_{1}^{3}$ x (11) = 20 x 3 x 11 = 660

Sum of 1 digit numbers = (2+4+6+8) x $P_{0}^{3}$ x (1) = 20 x 1 x 1 = 20

Adding All , Sum = 147320

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Filed Under: Permutations and Combinations
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Q:

If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true ?

A) x > y < z	B) x < y < z
C) x > y > z	D) z < x < y

Answer & Explanation Answer: D) z < x < y

Explanation:

x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3)

As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5)

As (√10 + 3) > (√8 + √7) > (√6 + √5)

z < x < y.

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Filed Under: Arithmetical Reasoning
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