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6.
180 kg of mixture of milk and water contains 5% water. How much more water should be added to it so that water may be 10% in the mixture?
  • A.
    20 kg
  • C.
    15 kg
  • B.
    12 kg
  • D.
    10 kg
  • Answer & Explanation
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Answer : [D]
Explanation :
Quantity of water =
180 x 5
100
 = 9 kg    
 
  Quantity of milk = 180 – 9 = 171 kg      
Let x kg water be added. Then,
9 + x
180 + x
 x 100 = 10    
90 + 10x = 180
9x = 90
x = 10
Hence 10 kg of water should be added
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7.
Three types which cost Rs. 81 per kg. Rs. 84 per kg and Rs. 75. 60 per kg are blended together to make 18 kg new blend, in which there are 5 kg, 6 kg and 7 kg of the respective types of quantity. What will be the price per kg of the new quantity?
  • A.
    Rs. 78.90
  • C.
    Rs. 80.90
  • B.
    Rs. 78.10
  • D.
    Rs. 79.90
  • Answer & Explanation
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Answer : [D]
Explanation :
1st type :
Weight = 5 kg
 
  Cost of 5 kg  = 81 x 5 = 405
2nd type
Weight = 6 kg
 
  Cost of 6 kg  = 84 x 6 = 504
3rd type
Weight = 7 kg
 
  Cost of 7 kg = 75.60 x 7 = 529.20
 
  Total cost of 18 kg  = 405 + 504 + 529.20 = 1438.20
 
 
  Cost of 1 kg =
1438.20
18
 = Rs. 79.90  
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8.
800 litres of mixture contains milk and water in the ratio 5 : 3. How much more water is to be added to get a new mixture containing milk and water in the ratio 5 : 4?
  • A.
    175 litres
  • C.
    150 litres
  • B.
    200 litres
  • D.
    100 litres
  • Answer & Explanation
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Answer : [D]
Explanation :
Initially,
Water =
3
8
 x 800 = 300 litres    
 
  Milk = 800 – 300 = 500 litres  
Now, let x litres of water be added to make the ratio 5 : 4
500
300 + x
=
5
4
   
2000 = 1500 + 5x
5x = 500
x = 100 litres
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9.
There are 65 peoples in a village, 39 rupees are distributed among them so that each men gets 80 paise and women gets 30 paise. Find the number of men and women in that village?
  • A.
    45,42
  • C.
    36,33
  • B.
    43,40
  • D.
    39,26
  • Answer & Explanation
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Answer : [D]
Explanation :
Here, allegation is applicable for "money per men and women"
Mean value of money per student =
3900
65
 = 60 Paise  
  Men 80 Women 30  
 
 
30
 
 
60
 
 
 
20
 
  Men : Women = 3 : 2  
 
 

Number of men =

65
3 + 2
 x 3 = 39
and, number of women = 65 – 39 = 26
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10.
In an examination out of 80 students 85% of the girls and 70% of the boys passed. How many boys appeared in the examination if total pass percentage was 75%?
  • A.
    360
  • C.
    340
  • B.
    320
  • D.
    370
  • Answer & Explanation
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Answer : [B]
Explanation :
  Pass % of boys
Pass % of girls  
  (70%) (85%)  
 
 
10
 
 
Average
75%
 
 
 
5
By Alligation rule:
 
Number of boys
Number of girls
=
10
5
=
2
1
 
Total number of students = 480
Number of boys =
480 x 2
3
 = 320  
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