CAT Questions

Q:

Every year before the festive season, a brand store increases the price of the product by 42% and then introduce two successive discount of 10% and 11% respectively. What is percentage loss and percentage gain ?

A) 3.25% loss B) 13.742% loss
C) 3.25% gain D) 13.742% gain
 
Answer & Explanation Answer: D) 13.742% gain

Explanation:

Let CP = 100,
42 % increase => SP = 142
10 % discount in SP => ((142 x 10)/100) = 14.2
So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.058
2nd SP = (127.8 - 14.058) = 113.742,
So finally CP = 100, SP = 113.742, => gain = 13.742%.

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Filed Under: Profit and Loss
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Q:

The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ?

A) 15 mts B) 30 mts
C) 24 mts D) 36 mts
 
Answer & Explanation Answer: B) 30 mts

Explanation:

The cow can graze an area of 2826 sq.m i.e it is able to cover area of circle of 2826 sq.m

 

Therefore, πr2 =2826
r2 =(2826×7/22) = 899.18 = 900
r = 30 m.

 

Therefore, the radius of the circle implies the length of the rope = 30 mts.

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Filed Under: Area
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Q:

In a cricket match total number of runs scored by Virat, Dhoni and Rohit is 285. The ratio of the number of runs scored by Virat and Rohit is 3 : 2 and that of the runs scored by Rohit and Dhoni is also 3 : 2. The number of runs scored by Virat in that match?

A) 154 B) 135
C) 112 D) 106
 
Answer & Explanation Answer: B) 135

Explanation:

From the given data,

Virat : Rohit = 3 : 2

Rohit : Dhoni = 3 : 2

Ratio of runs scored by Virat, Rohit and Dhoni respectively

= 3 x 3 : 2 x 3 : 2 x 2

9 : 6 : 4

Runs scored by Virat = 9/19 x 285 = 135.

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Filed Under: Ratios and Proportions
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26 7454
Q:

Select a figure from the four alternatives that would complete the Figure Matrix.

     1366338089-121484716755.jpg image

   1366338089-131484716775.jpg image

     (1)   (2)   (3)   (4)

A) 4 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: A) 4

Explanation:

Similar small figures are increasing by one in each of the bigger figure.

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Filed Under: Figure Matrix
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Q:

Tile : Mosaic :: Knot : ?

A) Embroidery B) Abacus
C) Macrame D) Easle
 
Answer & Explanation Answer: C) Macrame

Explanation:

Just as tiles in mosaic make a pattern, so also the knots in a piece of macrame make a pattern.

Hence, Tile : Mosaic :: Knot : Macrame.

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Filed Under: Analogy
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Q:

Diversification is important in investing because

A) It ensures that you only make low-risk investments. B) It helps you to balance your risk across different types of investments.
C) It helps you gain the highest rate of return despite any risks. D) It increases your overall risk, which guarantees that you will make more money.
 
Answer & Explanation Answer: B) It helps you to balance your risk across different types of investments.

Explanation:
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Q:

A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

A) 1 kmph B) 3 kmph
C) 5 kmph D) 4 kmph
 
Answer & Explanation Answer: B) 3 kmph

Explanation:

Let the speed of the stream = x kmph

 

From the given data,

 

 129+x+129-x=3 hrs

3x2 = 27

 

=> x = 3 kmph

 

Therefore, the speed of the stream = 3 kmph

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Filed Under: Boats and Streams
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25 7441
Q:

Car is to garage as aeroplane is to

A) Hangar B) Port
C) Harbour D) Depot
 
Answer & Explanation Answer: A) Hangar

Explanation:

We park car temporarily in garrage, similarly, aeroplane is temporarily parked in hangar.

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Filed Under: Analogy
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