Common Admission Test (CAT) Questions and Answers with Explanation

Q:

If the positions of the first and the fifth digits of the number 14278359 are interchanged, similarly the positions of the second and the sixth digits are interchanged and so on, then which of the following will be the second digit from the right end after the rearrangement ?

A) 5	B) 2
C) 7	D) 4

Answer & Explanation Answer: B) 2

Explanation:

Given number is 14278359
As given 1st and 5th digits, 2nd & 6th, 3rd & 7th and 4th & 8th digits are to to be interchanged.
Therfore, the rearranged number is 83591427
Then, the second digit from the right end is 2.

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Q:

Thomas cup is associated with which game?

A) Football	B) Cricket
C) Badminton	D) Chess

Answer & Explanation Answer: C) Badminton

Explanation:

Thomas cup is associated with Badminton. It is a competition among teams representing member nations of the Badminton World Federation (BWF).

Thomas_trophy_is_associated_with1557898491.jpg image

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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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8 6363

Q:

A and B entered in a business by making investment of Rs. 4000 & Rs. 5500 respectively. After six months A & B withdrew Rs. 1000 and Rs. 1500 respectively and C joined them with capital of Rs. 4x. If after one year and three months C received Rs. 2250 as profit share out of total profit of Rs. 12250, then find investment of C?

A) Rs. 3600	B) Rs. 3200
C) Rs. 4400	D) Rs. 3000

Answer & Explanation Answer: D) Rs. 3000

Explanation:

Investment ratio of A, B & C = (4000 ×6+3000×9):(5500 ×6+4000×9):4

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Q:

A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is white ?

A) 14/33	B) 14/55
C) 12/55	D) 13/33

Answer & Explanation Answer: A) 14/33

Explanation:

Total number of chairs = (3 + 5 + 4) = 12.

Let S be the sample space.

Then, n(s)= Number of ways of picking 2 chairs out of 12

$=^{12} 12_{2} = \frac{12 \times 11}{2 \times 1} = 66$

Let n(E) = number of events of selecting 2 chairs for selecting no white chairs.

$=^{8} C_{2} = \frac{8 \times 7}{2 \times 1} = 28$

Therefore required probability = 28/66 = 14/33.

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15 6359

Q:

In a daily morning walk three persons step off together. their steps measure 75 cm, 80 cm and 85 cm respectively. What is the minimum distance each should walk so that thay can cover the distance in complete steps ?

A) 222 m 44 cm	B) 204 m
C) 201 m 21 cm	D) 208 m

Answer & Explanation Answer: B) 204 m

Explanation:

To find the minimum distance, we have to get the LCM of 75, 80, 85

Now, LCM of 75, 80, 85 = 5 x 15 x 16 x 17 = 20400

Hence, the minimum distance each should walk so that thay can cover the distance in complete steps = 20400 cms = 20400/100 = 204 mts.

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11 6359

Q:

There are 5 consecutive odd numbers. If the difference between square of the average of first two odd number and the of the average last two odd numbers is 396, what is the smallest odd number?

A) 29	B) 27
C) 31	D) 33

Answer & Explanation Answer: A) 29

Explanation:

Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4

According to the question,

Difference between square of the average of first two odd number and the of the average last

two odd numbers is 396

i.e, x+3 and x-3

$\Rightarrow {(x + 3)}^{2} - {(x - 3)}^{2} = 396 \Rightarrow x^{2} + 9 + 6 x - x^{2} + 6 x - 9 = 396 \Rightarrow 12 x = 396 \Rightarrow x = 33$

Hence, the smallest odd number is 33 - 4 = 29.

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4 6358

Q:

India's first-ever test flight powered by biojet fuel was successfully conducted by which airline?

A) Air India	B) Spice Jet
C) Kingfishers	D) None of the above

Answer & Explanation Answer: B) Spice Jet

Explanation:

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