CAT Questions

Q:

Order of basicity of amines in gaseous state?

A) 2'> 1'> 3' > NH3 B) 3' > 2' > 1'> NH3
C) 1' > 2' > 3'> NH3 D) 2'> 3'> 1' > NH3
 
Answer & Explanation Answer: B) 3' > 2' > 1'> NH3

Explanation:

The order of basicity in ammonia is different in gaseous phases vs. aqueous phases due to hydrogen bonding.

 

So in gaseous phases it's the well known: 3' > 2' > 1'> NH3. Just so we're on the same page, this is due to the inductive effect of electron donating alkyl groups--they destabilize the lone pair on nitrogen atom, making nitrogen more basic.

 

But in aqueous phase, the order is slightly different: 2'> 1'> 3' > NH3.

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6 7991
Q:

The average of the ages of Sumit, Krishna and Rishabh is 43 years and the average of the ages of Sumit, Rishabh and Rohit is 49 years. If Rohit is 54 years old, what is Krishna'a age ? 

A) 48 yrs B) 42 yrs
C) 40 yrs D) 36 yrs
 
Answer & Explanation Answer: D) 36 yrs

Explanation:

Let present ages of Sumit=w, Krishna=x, Rishabh=y and Rohit=z , then
w+x+y = 43x3 = 129 ---(i) and
w+y+z = 49x3 = 147 ---(ii)
Subtracting (i) from (ii), (w+y+z) - (w+x+y)=147 -129 , z- x =18 ---(iii)
Given Rohit's age => z = 54, so from (iii), x = 54-18 = 36

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6 7971
Q:

A term used interchangeably with diskette is

A) Floppy disk B) Disk pack
C) Disk cartridge D) Packette disk
 
Answer & Explanation Answer: A) Floppy disk

Explanation:

A term used interchangeably with diskette is Floppy disk.

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5 7970
Q:

The marked price of a Watch is Rs.8400. It is to be sold at Rs.6896 at two successive discounts. If the first discount is 12%, the second discount is ?

A) 7.2 % B) 9.14 %
C) 7.13 % D) 6.709 %
 
Answer & Explanation Answer: D) 6.709 %

Explanation:

(100-x)%  of 88% of 8400 = 6896

 

=> 100-x10088100x8400 = 6896


=> x = 6.709%

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4 7968
Q:

Mahesh bought 100 kg of rice for Rs. 1040 and sold it at a loss of as much money as he received for 30 kg rice. At what price did he sell the rice?

A) Rs. 7.46/kg B) Rs. 8/kg
C) Rs. 8.74/kg D) Rs. 8.56/kg
 
Answer & Explanation Answer: B) Rs. 8/kg

Explanation:

Let the selling price of the rice = Rs.P/kg

Now, according to the question,

1040 - 100p = 30p

=> p = 8/kg

 

Hence, the selling price of the rice = Rs. 8/kg

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16 7966
Q:

The Largest Component of National Income is

A) Proprietors Income B) Compensation of Employees
C) Corporate Profits D) Rental Income
 
Answer & Explanation Answer: B) Compensation of Employees

Explanation:

National Income is the total income value of the goods and services produced by the residents of a country, usually during the period of one year.

National Income is categorized into 6 components. They are :

1. Compensation of Employees (Wages and Benefits)
2. Corporate Profits
3. Rental Income
4. Proprietors Income (Income of unincorporated business)
5. Net Interest

The Largest Component of National Income is Compensation of Employees.

 

The Largest component of National Income in India is Service Sector.

 

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11 7963
Q:

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?

A) 27 7/9 mts B) 25 8/7 mts
C) 21 1/4 mts D) 22 mts
 
Answer & Explanation Answer: A) 27 7/9 mts

Explanation:
Relative speed = (40 - 20) km/hr = ( 20 x 5 ( m/sec = ( 50 ( m/sec.
18 9
Therefore Length of faster train = ( 50 x 5 ( m = 250 m = 27 7 m.
9 9 9
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10 7949
Q:

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ?

A) ²²C₁₀ + 1 B) ²²C₉ + ¹⁰C₁
C) ²²C₁₀ D) ²²C₁₀ - 1
 
Answer & Explanation Answer: D) ²²C₁₀ - 1

Explanation:

The total number of ways of forming the group of ten representatives is ²²C₁₀.
The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way
The required number of ways = ²²C₁₀ - 1

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2 7932