CAT Questions

Q:

'A' sold an article to 'B' at a profit of 20%. 'B' sold the same article to 'C' at a loss of 25% and 'C' sold the same article to 'D' at a profit of 40%. If 'D' paid Rs 252 for the article, then find how much did 'A' pay for it?

A) Rs.196 B) Rs.210
C) Rs.200 D) Rs.235
 
Answer & Explanation Answer: C) Rs.200

Explanation:

Let the article costs 'X' to A
Cost price of B = 1.2X
Cost price of C = 0.75(1.2X) = 0.9X
Cost price of D = 1.4(0.9X) = 1.26X = 252
Amount paid by A for the article = Rs. 200.

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45 27762
Q:

Find the Next Number in the given number series?

3, 10.5, 36.75, 128.625, ?

A) 450.187 B) 442.151
C) 441.231 D) 456.852
 
Answer & Explanation Answer: A) 450.187

Explanation:

Pattern is

      • 3
      • 3 x 3.5 = 10.5
      • 10.5 x 3.5 = 36.75
      • 36.75 x 3.5 = 128.625
      • 128.625 x 3.5 = 450.187
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9 27739
Q:

1, 2, 8, 33, ?

Find the next number in the given series?

A) 148 B) 145
C) 143 D) 141
 
Answer & Explanation Answer: A) 148

Explanation:

1 x 1 + 1 x 1 = (1 + 1) = 2

2 x 2 + 2 x 2 = (4 + 4) = 8

8 x 3 + 3 x 3 = (24 + 9) = 33

33 x 4 + 4 x 4 = (132 + 16) = 148

148 x 5 + 5 x 5 = (740 + 25) = 765.

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10 27690
Q:

Find the odd man out of the series?

128, 32, 14, 2.66, 0.88

A) 32 B) 14
C) 2.66 D) 0.88
 
Answer & Explanation Answer: B) 14

Explanation:

Here the given series is 128, 32, 14, 2.66, 0.88

 

128 / 4 = 32

32 / 3 = 10.666

10.666 / 4 = 2.666

2.666 / 3 = 0.888

 

Hence, the odd man in the given number series is 14.

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7 27676
Q:

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is ?

A) Rs. 55 B) Rs. 60
C) Rs. 65 D) Rs. 70
 
Answer & Explanation Answer: B) Rs. 60

Explanation:

Let the cost price of a ball is Rs.x
Given, on selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls
The equation is :
17x - 720 = 5x
Solving the equation
we get x = 60
Therefore, cost price of a ball is Rs. 60.

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36 27621
Q:

Complete the number series given below ?

13        19       37      ?         141        243

A) 58 B) 67
C) 75 D) 96
 
Answer & Explanation Answer: C) 75

Explanation:

The given series follows the pattern that

exp.

So the missing number is  37 + 38 = 75

75 + 66 = 141

....

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60 27576
Q:

If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of a2+b2+c23 is :

A) M B) 3 M^2
C) 2 (M/3) D) M^2
 
Answer & Explanation Answer: B) 3 M^2

Explanation:

We have : ( a + b + c) / 3 = M   or (a + b + c) = 3M.

Now. a+b+c2=3M2=9M2 .

 

 

 

<=>a2+b2+c2+2ab+bc+ca=9M2

 

 

 

a2+b2+c2=9M2   ,(ab+bc+ca=0)     

 

 

 

Required mean =a2+b2+c23=9M23=3M2 .

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35 27518
Q:

Artists are generally whimsical. Some of them are frustrated. Frustrated people are prone to be drug addicts.

Based on these statements which of the following conclusions is true?

A) All frustrated people are drug addicts B) Frustrated people are whimsical
C) All drug addicts are artists D) Some artists may be drug addicts
 
Answer & Explanation Answer: D) Some artists may be drug addicts

Explanation:
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