CAT Questions

Q:

Each edge of a cube is increased by 20% then the percentage increase in surface area of the cube is : 

A) 144% B) 40%
C) 44% D) 72.8%
 
Answer & Explanation Answer: C) 44%

Explanation:

The surface area of a cube = 6a2 =  6 side2

 

New  Surface area = 6 x 1.44a2

 

Therefore, 0.44a2a2x100 = 44%

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Filed Under: Percentage
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13 9129
Q:

A supplier supplies cartridges to a news paper publishing house. He earns a profit of 25% by selling cartridges for Rs. 1540. Find the cost price of the Cartridges ?

A) Rs. 1100 B) Rs. 1793.4
C) Rs. 1440 D) Rs. 1232
 
Answer & Explanation Answer: D) Rs. 1232

Explanation:

Let Cost Price(C.P) = P
gain% = {(S.P-C.P)/C.P} x 100
25 = {(1540-P)/P} x 100
25/100 = (1540-P)/P
=> P = 4(1540)-4P
=> 5P = 4(1540)
=> P = 1232
So, Cost Price = Rs. 1232

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Filed Under: Profit and Loss
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11 9112
Q:

From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is 

A) 81.92L B) 96L
C) 118.08L D) None of these
 
Answer & Explanation Answer: C) 118.08L

Explanation:

The amount of petrol left after 4 operations  

200 × 1-402004  

200 × 454  

200 × 256625  

= 81.92 litres

 

Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres

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Filed Under: Alligation or Mixture
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9 9105
Q:

Ashok Mehta committee recommended for the establishment of

A) Gram Panchayat B) Nagar Panchayat
C) Panchayat Samiti D) All of the above
 
Answer & Explanation Answer: A) Gram Panchayat

Explanation:

Under the chairmanship of Ashoka Mehta, the Janata Government appointed a committee on Panchayat Raj system in December 1977. They have made 132 recommendations to revive and strengthen the declining Panchayati Raj system in the country. As a result of this report, the Indian states of Karnataka, Andhra Pradesh, and West Bengal passed new legislation.

Ashok_Mehta_committee_recommended_for_the_establishment_of1560945557.jpg image

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Filed Under: Indian Politics
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4 9102
Q:

Adverbs can modify all of the following except

A) Nouns B) Verbs
C) Adjectives D) Other adverbs
 
Answer & Explanation Answer: A) Nouns

Explanation:

An adverb is a word that modifies a verb, adjective, determiner, clause, preposition, or sentence.

Adverbs can modify all of the following except nouns.

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Filed Under: English
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6 9093
Q:

Which of these is not a means of personal communication on the internet  ?

A) Instant messaging B) Chat
C) Electronic mail D) Instanotes
 
Answer & Explanation Answer: D) Instanotes

Explanation:
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Filed Under: Computer
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24 9086
Q:

In a class of students, if 1 is absent rest of people can be divided into 6 equal parts and if 2 are absent rest of them are divided into 7 equal parts, how many students are present in the class ?

A) 28 B) 19
C) 57 D) 37
 
Answer & Explanation Answer: D) 37

Explanation:

Let the number of students in the class be 'x'.
Given if 1 is absent rest of people can be divided into 6 equal parts i.e (x-1)/6.........(1)
And given if 2 are absent rest of people can be divided into 7 equal parts i.e (x-2)/7.....(2)
From (1)&(2), we get
x-1/6 = ((x-2)/7) + 1
=> x = 37.

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Filed Under: Arithmetical Reasoning
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13 9081
Q:

A rectangular block has the dimensions 5x6x7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm. If the level of the fluid in the cylinder rises by 4 cm, What portion of the block is immersed in the fluid ?

A) 22/7 x 24/35 B) 22/7 x 36 x 4
C) 22/7 x 36/5 D) 22/7 x 37/21
 
Answer & Explanation Answer: A) 22/7 x 24/35

Explanation:

Since level of water increased in cylinder by height 4. 

This is because of the rectangular block .

 

Therefore , area of rectangular block immersed in water is 

= 227×6×6×4  

Thats why portion of block immersed in water is 

= (22/7 * 36 * 4) / total vol. of rectangle 

= (22/7 * 36 * 4)/ (7*5*6) 

= (22/7 * 24)/ 35.

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Filed Under: Volume and Surface Area
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7 9077