CAT Questions

Q:

A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit  ? 

A) Rs. 8,640 B) Rs. 9,850
C) Rs. 10,000 D) Rs. 11,220
 
Answer & Explanation Answer: C) Rs. 10,000

Explanation:

Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12

= 36 : 36 : 48

= 6 : 6 : 8

But given that the annual profit of B is Rs. 3000

=> 6 ratio = 3000

Then for the total annual profit of partners is

20 ratio = 3000 x 20/6 = 10,000.

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Filed Under: Partnership
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18 12283
Q:

Arjun and Bhishma are running on a circular track of length 600m. Speed of Arjun is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?

Answer

SolTime = Circumference Relative Speed = 60010 = 60 sec.


 


Actually Arjun has to make a lead of 600 m, because when Arjun will be 600m ahead of Bhishma, they will be together again as a person when completes the total length it starts retracing he same path and thus Arjun and Bhishma can be together again.


 


Since , they make  a difference of 10 m in 1 second. so, he will create 600m difference in 60 second.

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Subject: Time and Distance Exam Prep: AIEEE , Bank Exams , CAT
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14 12279
Q:

The Capacity of a Communication Channel is Measured in

A) Band rate B) Band width
C) Data flow D) Bit capacity
 
Answer & Explanation Answer: B) Band width

Explanation:

The path that data takes from source to destination is called a Channel. A channel is a communication medium. A channel has a certain capacity for transmitting information. 

 

The "capacity" of a channel is the theoretical upper-limit to the bit rate over a given channel that will result in negligible errors. Channel capacity is often measured by its Bandwidth in Hz or its data rate in bits per second.

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Filed Under: Physics
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15 12265
Q:

Karthik read 613 th of a book in 1st week and 59 th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

A) 404 B) 415
C) 418 D) 420
 
Answer & Explanation Answer: C) 418

Explanation:

Let the total book be 1

Then, in the 1st week 613th of book is read

i.e remaining pages =  1-613=713


in 2nd week he read 59th of it

i.e 59×713=35117
Remaining pages after 2nd week = 713-35117=28117

But given remaining pages after 2nd week = 100

 

28x117=100

--> x = 418 

 The total pages in the book are 418

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Filed Under: Decimal Fractions
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17 12263
Q:

Who has become First Hindu to be a Pakistan Cabinet Minister in 20 years ?

A) Parash Kumar B) Raghav Verma
C) Darshan Lal D) Manik Patel
 
Answer & Explanation Answer: C) Darshan Lal

Explanation:

After a span of 20 years, a Hindu politician, Darshan Lal, is set to take the role of a cabinet minister in Pakistan.  The new Prime Minister Shahaid Khaqan Abbasi formulated his cabinet and has appointed 65-year old Lal to lead coordination between four Pakistan provinces.

Lal reportedly used to practice as a doctor in Mirpur Mathelo town in Ghotki district of Sindh province.

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Filed Under: General Awareness
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5 12262
Q:

Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is ?

A) 387 kms B) 242 kms
C) 145 kms D) 444 kms
 
Answer & Explanation Answer: D) 444 kms

Explanation:

1h ----- 5 kms
? ------ 60 kms

Time = 12 hrs

Relative Speed = 16 + 21 = 37 kmph

T = 12 hrs

D = S x T = 37 x 12 = 444 kms.

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Filed Under: Problems on Trains
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11 12255
Q:

Bold, Italic, Regular are known as

A) Text Effects B) Font Styles
C) Font Effects D) Word Art
 
Answer & Explanation Answer: B) Font Styles

Explanation:

Bold, Italic, Regular are known as Font Styles.

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Filed Under: Computer
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10 12237
Q:

Find the logarithm of 144 to the base 23 :

A) 2 B) 4
C) 8 D) None of these
 
Answer & Explanation Answer: B) 4

Explanation:

log23144 = 4 

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Filed Under: Logarithms
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55 12198