Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Find the next number in the series 3, 4, 5, 5, 12, 13, 7, 24, 25, 8, 15, ...

A) 26	B) 16
C) 17	D) 18

Answer & Explanation Answer: C) 17

Explanation:

The pattern is $3^{2} + 4^{2} = 5^{2}$ , $5^{2} + 12^{2} = 13^{2}$ , $7^{2} + 24^{2} = 25^{2}$

The next number = $8^{2} + 15^{2} = 17^{2}$

i.e. 17

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27 13540

Q:

In a cricket match, five batsmen P, Q, R, S and T scored an average of 36 runs. S Scored 5 more than T; T scored 8 fewer than P; Q scored as many as S and T combined; and Q and R scored 107 between them. How many runs did T score ?

A) 20	B) 29
C) 28	D) 24

Answer & Explanation Answer: A) 20

Explanation:

Let the runs scored by P, Q, R, S and T be a, b, c, d and e

From given data,

a + b + c + d + e = 36 x 5 = 180
b + c = 107
Let a = x
e = x-8
d = x-3
now 3x - 11 + 107 = 180
3x = 84
x = 28
e's score = 28-8 = 20

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Filed Under: Mathematical Operations
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40 13538

Q:

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?

A) 2 9/7 km	B) 3 7/5 km
C) 1 3/4 km	D) 4 3/8 km

Answer & Explanation Answer: D) 4 3/8 km

Explanation:

Relative Speed = 5 ¾ - 4 ½ = 1 ¼

Time = 3 ½ h.

Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

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Filed Under: Time and Distance
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9 13537

Q:

Refer the below data table and answer the following question.

What is the average bonus in Rs. ?

A) 606154	B) 7880002
C) 253333	D) 224000

Answer & Explanation Answer: A) 606154

Explanation:

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Filed Under: Table Charts
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0 13522

Q:

Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join.

A) 7 months	B) 8 months
C) 3 months	D) 4 months

Answer & Explanation Answer: D) 4 months

Explanation:

we can assume that Amar join into business after x months. So Amar money was invest into (12 – x ) months.

$\frac{76000 \times 12}{57000 \times (12 - x)} = \frac{2}{1}$

--> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912

--> x = 4

After 4 months amar join the business.

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7 13521

Q:

Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4 ?

A) 600	B) 300
C) 150	D) 75

Answer & Explanation Answer: A) 600

Explanation:

1/2:1/3:1/4 = 6:4:3

As the difference is 3

=> 3/13x2600 = 600

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20 13516

Q:

8 S on a SS means?

Answer

8 S on SS means 8 Sides on a Stop Sign.

This is one type of Letter Equations which are well known phrases or facts where the key words have been replaced with the first letter of that word. These are often in the form of an equation, which contain a number, an = sign and the rest of the obscured phrase or fact.

Some more of them are ::

90 D in a RA

26 L of the A

12 S of the Z.

Workspace

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22 13504

Q:

A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all ?

A) 8	B) 18
C) 9	D) 10

Answer & Explanation Answer: C) 9

Explanation:

There were all parrots but six means that six birds were not parrots but only pigeons and koels.

Similarly, number of parrots + number of koels = 6 and number of parrots + number of pigeons = 6.

This is possible when there are 3 parrots, 3 pigeons and 3 koels i.e. 9 birds in all.

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Filed Under: Arithmetical Reasoning
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17 13502

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