Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Chromite : Chromium : : Ilmenite :?

A) Cobalt	B) Titanium
C) Limestone	D) Manganese

Answer & Explanation Answer: B) Titanium

Explanation:

Chromite is a mineral of chromium and ilmenite is a mineral of titanium

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Filed Under: Analogy
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17 8663

Q:

Who termed the Indian Constitution as "Quasi Federal" ?

A) D.D. Basu	B) K.C. Wheare
C) Ivor Jennings	D) M.V. Paylee

Answer & Explanation Answer: B) K.C. Wheare

Explanation:

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Filed Under: Indian Politics
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31 8649

Q:

Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ?

A) E = 15 & Y = 3	B) E = 14 & Y = 12
C) E = 40 & Y = 22	D) E = 4 & Y = 2

Answer & Explanation Answer: D) E = 4 & Y = 2

Explanation:

Let the the age of the elder boy = E

Let the the age of the younger boy = Y

Given that Y = cube root of EY

=> $Y^{3}$ = EY => E = $Y^{2}$ .....(1)
By the condition of number replacement the age of the father is YE

The Mother's age = EY/2

But she is 3 years less than father => EY/2 + 3 = YE
2YE = EY + 6 ......(2)

Then now from the given options we can identify which satisfies the all the conditions.

Here Y =2 and E = 4 satisfies all the conditions.

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Filed Under: Problems on Ages
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8 8647

Q:

A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?

A) 3 hrs	B) 6 hrs
C) 7 hrs	D) 5 hrs

Answer & Explanation Answer: B) 6 hrs

Explanation:

Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.
Then, (1/x + 2/x + 3/x) = 1/2
6/x = 1/2 => x = 12
So, B takes 6 hours to finish the work.

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Filed Under: Time and Work
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5 8643

Q:

If a 36 cm thread is used to wrap a book, lengthwise twice and breadth wise once, what is the size of the book ?

A) 288 sq.cm	B) 188 sq.cm
C) 144 sq.cm	D) 244 sq.cm

Answer & Explanation Answer: A) 288 sq.cm

Explanation:

Length of the thread is 36 cms.
length wise twice breath wise once then totally thrice.
so 36/3 = 12.
so length is 12 x 2 = 24 cms
breath is 12 cms
Area of the book = length x breath = 24 x 12 = 288 sq.cm

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Filed Under: Area
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6 8639

Q:

The layer of air around the earth is known as

A) Troposphere	B) Ionosphere
C) Atmosphere	D) Ozone layer

Answer & Explanation Answer: C) Atmosphere

Explanation:

The layer of air around the earth is known as Atmosphere. And this atmosphere has 4 layers like troposhere, stratosphere, ionosphere and mesosphere.

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Filed Under: General Science
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34 8625

Q:

A train covers 180 km distance in 5 hours. Another train covers the same distance in 1 hour less. What is the difference in the distances covered by these trains in one hour if they are moving in the same direction?

A) 15 kms	B) 9 kms
C) 6 kms	D) 18 kms

Answer & Explanation Answer: B) 9 kms

Explanation:

The first train covers 180 kms in 5 hrs

=> Speed = 180/5 = 36 kmph

Now the second train covers the same distance in 1 hour less than the first train => 4 hrs

=> Speed of the second train = 180/4 = 45 kmph

Now, required difference in distance in 1 hour = 45 - 36 = 9 kms.

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Filed Under: Time and Distance
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11 8623

Q:

During First World War(1914-1918) AD, The Raja of Chamba State, Raja Bhuri Singh ....................

A) opposed the British Government	B) partcipated in the Ghaddar Movement
C) helped the British Government	D) remained Passive

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