CAT Questions

Q:

A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.

A) Rs. 1250 B) Rs. 600
C) Rs. 900 D) Rs. 1500
 
Answer & Explanation Answer: D) Rs. 1500

Explanation:

From the given data,

Ratio of capital = 12000 : 14400 = 5 : 6

Required Difference = 

6 - 56 + 5 88100 x 7500 + 12100 x 7500= 111 x 88 x 75  + 12 x 75= 600 + 900= 1500

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Filed Under: Partnership
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Q:

Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit  ?

A) Rs. 8840 B) Rs. 8800
C) Rs. 8810 D) None
 
Answer & Explanation Answer: D) None

Explanation:

Amount = 80001+51002

 

= 8000 x 21/20 x 21/20 

 

= Rs. 8820

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Filed Under: Compound Interest
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Q:

A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?

A) 2% B) 4%
C) 3% D) 2.5%
 
Answer & Explanation Answer: B) 4%

Explanation:

SP of first article = 1000

Profit = 20%

CP = 100100+P×SP= 5000/6 = 2500/3


SP of second article = 1000

Loss = 20%

CP = 100100-L×SP= 5000/4 = 1250


Total SP = 2000

Total CP = 25003+ 1250 = 6250/3

CP is more than SP, he makes a loss.

Loss = CP-SP = (6250/3)- 2000 = 250/3


Loss Percent =250362503×100= 4%

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Filed Under: Profit and Loss
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Q:

A clock is started at 11 a.m. By 600 seconds past 6 p.m, the hour hand has turned through ?

A) 155 degrees B) 175 degrees
C) 205 degrees D) 215 degrees
 
Answer & Explanation Answer: D) 215 degrees

Explanation:

The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes.
We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º.
Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand.

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Filed Under: Clock puzzles
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Q:

A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ?

A) 300 B) 150
C) 175 D) 200
 
Answer & Explanation Answer: B) 150

Explanation:

Half of the cloth = 37.5/2
From 1 meter he will make 8 pieces
=> in 37.5/2 ---- ?

37.5/2 x 8

= 150.

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Filed Under: Simplification
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Q:

The ozone layer is located in the

A) Mesosphere B) Ionosphere
C) Troposphere D) Stratosphere
 
Answer & Explanation Answer: D) Stratosphere

Explanation:

The earth's atmosphere is composed of 4 layers. 

 

1. Troposphere

2. Stratosphere

3. Ionosphere

4. Mesosphere

 

the_ozone_layer_is_located_in_the1534497103.jpg image

 

The ozone layer is located in the lower region of the Stratosphere which extends at 11 - 50 kms from the Earth's suface.

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Filed Under: General Awareness
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Q:

There are 600 Kabaddi players 4% wear knee band on one leg. Of the remaining, 25% wear knee bands on both legs. How many players don't wear a knee band ?

A) 426 B) 428
C) 415 D) 432
 
Answer & Explanation Answer: D) 432

Explanation:

There are 600 Kabaddi players
4% wear knee band on one leg
Remaining players = 600 x 0.96 = 576
Of the remaining, 25% wear knee bands on both leg
and Of the remaining, 75% do not wear knee bands .
So players not wearing knee bands = 0.75 x 576 = 576 x 3/4 = 144 x 3 = 432.

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Filed Under: Percentage
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Q:

Solve this number puzzle?

Number_puzzle_41538031779.jpg image

A) 111 B) 121
C) 1111 D) 0
 
Answer & Explanation Answer: B) 121

Explanation:

Given 

1 = 1 => 1 x 11 = 11

2 = 22 => 2 x 11 = 22

3 = 33 => 3 x 11 = 33

...

...

Similarly,

11 => 11 x 11 = 121.

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