CAT Questions

Q:

Rohith started a business by investing Rs. 3600. After somedays, Puneeth joined him by investing Rs. 2400. At the end of one year, the profit was divided in the ratio 2 : 1. After how many months did Puneeth join the business?

A) 2 months B) 2.5 months
C) 3 months D) 3.5 months
 
Answer & Explanation Answer: C) 3 months

Explanation:

Ratio of profit of Rohith and Puneeth = 3600 x 12 : 2400 x P

= 3600 x 12/2400P = 2/1

=> P = 9

So, Puneeth joined the business after (12 - P) = 12 - 9 = 3 months.

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Filed Under: Partnership
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12 6974
Q:

What value will replace the question mark in the puzzle?


A) 64 B) 56
C) 46 D) 36
 
Answer & Explanation Answer: C) 46

Explanation:

The Answer is 46.

Logic ::

First number on the right hand side is the second number in the left side of equation ( and ) second number on the right side is the sum of two numbers on the left side of the equation.

 

Hence, 2 + 4 = 4(2+4) = 46.

 

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Filed Under: Math Puzzles
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19 6973
Q:

Fifth generation computer is also known as

A) Very Large Scale Integration (VLSI) B) Knowledge information processing system
C) Both A & B D) None of the above
 
Answer & Explanation Answer: B) Knowledge information processing system

Explanation:
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13 6972
Q:

The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is   ?

A) 6 B) 9
C) 7 D) 5
 
Answer & Explanation Answer: D) 5

Explanation:

Arithmatic mean = sum/members 

=> (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7)

=> 140/28 = 5

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Filed Under: Arithmetical Reasoning
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4 6968
Q:

What is so delicate that even mentioning it breaks it?

Answer

Silence is what is so delicate that even mentioning it breaks it.

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8 6968
Q:

The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned  ?

A) Rs. 11828.80 B) Rs. 19828.80
C) Rs. 9828.80 D) Rs. 19328.80
 
Answer & Explanation Answer: B) Rs. 19828.80

Explanation:

Let the sum be Rs. P
P{ 1+81002- 1 } = 2828.80

 

It is in the form of  a2-b2 = a+ba-b

 

P(8/100)(2 + 8/100) = 2828.80

 

P = 2828.80 / (0.08)(2.08)

 

= 1360/0.08 = 17000

 

Principal + Interest = Rs. 19828.80

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Filed Under: Compound Interest
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12 6964
Q:

If Laxmi is taller than Ramya but shorter than Susmitha and Ramya is as tall as Hema but taller than Avanthi, then Hema is :

A) shorter than Ramya B) taller than Avanthi
C) taller than susmitha D) shorter than Laxmi
 
Answer & Explanation Answer: D) shorter than Laxmi

Explanation:

As given, we have:

Susmitha > Laxmi > Ramya; Ramya = Hema, Ramya > Avanthi

Thus the sequence of heights becomes:

Susmitha > Laxmi > Ramya = Hema > Avanthi

Clearly, Hema is shorter than Laxmi.

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Filed Under: Logical Sequence of Words
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14 6955
Q:

The length of a brigade which a train 130 m long and traveling at 45kmph can cross in 30 seconds, is 

A) 196 mts B) 220 mts
C) 230 mts D) 245 mts
 
Answer & Explanation Answer: D) 245 mts

Explanation:

Let the length of the brigade is x mts
Then Distance = 130 + x mts
given speed = 45 kmph = 45 x5/18 m/s
Time = 30 sec
T = D/S
=> 30 = 130+x/(45x5/18)
=> x = 245 mts.

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Filed Under: Problems on Trains
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5 6952