CAT Questions

Q:

Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4 ?

A) 600 B) 300
C) 150 D) 75
 
Answer & Explanation Answer: A) 600

Explanation:

1/2:1/3:1/4 = 6:4:3

As the difference is 3

=> 3/13x2600 = 600

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Filed Under: Ratios and Proportions
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20 14292
Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at  cost price, is:

A) 20% B) 25%
C) 33.33% D) 18%
 
Answer & Explanation Answer: B) 25%

Explanation:

When the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 20 litres of milk.

 

  Since,    the profit % = ProfitCostPricex100

Therefore, profit percentage = 520x100  = 25%

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Filed Under: Profit and Loss
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44 14291
Q:

In a row of thirty boys, R is fourth from the right end and W is tenth from the left end . How many boys are there between R and W?

A) 15 B) 16
C) 17 D) can't be determined
 
Answer & Explanation Answer: B) 16

Explanation:

W = 10th from the left

 

R = 4th from the right = (30 - 4 + 1= ) 27th from left

 

 No of boys between R and W = (27 - 10) - 1 = 16

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28 14262
Q:

Ashtadhyayi was written by

A) Ved vysa B) Panini
C) Shukadeva D) Balmiki
 
Answer & Explanation Answer: B) Panini

Explanation:

Ashtadhyayi was written by Panini. He was a Sanskrit grammarian who gave a comprehensive and scientific theory of phonetics, phonology, and morphology. Panini was born in Shalatula, a town near to Attock on the Indus river in present day Pakistan.

Ashtadhyayi_was_written_by1565176023.jpg image

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Filed Under: Indian History
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13 14256
Q:

In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ?

A) 910 B) 1000
C) 970 D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

504/M = 384/800

(504 x 800) / 384 = M

M = 1050

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Filed Under: Ratios and Proportions
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13 14251
Q:

Lagaan is levied on the 60% of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Sukhiya over the total taxable land of the village is:

A) 0.15% B) 15%
C) 0.125% D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

Total land of Sukhiya = 480x/0.6 = 800x

 

Cultivated land of village = 384000x

 

Required percentage = 800x384000x 100 = 0.20833

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16 14239
Q:

The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ?

A) 4:5 B) 6:5
C) 3:2 D) 1:3
 
Answer & Explanation Answer: B) 6:5

Explanation:

    4:5
    3:2
   -------
=> 12:15:10

 12:10

=> 6:5

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11 14234
Q:

Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ?

A) 36 kmph B) 35 kmph
C) 72 kmph D) 70 kmph
 
Answer & Explanation Answer: D) 70 kmph

Explanation:

By car 240 km at 60 kmph
Time taken = 240/60 = 4 hr.

By train 240 km at 60 kmph
Time taken = 400/100 = 4 hr.

By bus 240 km at 60 kmph
Time taken = 200/50 = 4 hr.

So total time = 4 + 4 + 4 = 12 hr.
and total speed = 240+400+200 = 840 km
Average speed of the whole journey = 840/12 = 70 kmph.

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Filed Under: Time and Distance
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