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11.
In an institute of 20 boys in an exam in Maths 2 boys scored 100 marks each, 3 got zero each and the average of the rest was 40. What is the average of the whole institute?
  • A.
    40 Marks
  • C.
    32 Marks
  • B.
    35 Marks
  • D.
    45 Marks
  • Answer & Explanation
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Answer : [A]
Explanation :
Marks scored by 2 boys = 100 x 2 = 200
Marks scored by 3 boys = 3 x 0 = 0
Marks scored by 15 boys = 15 x 40 = 600
Marks scored by 20 boys = 200 + 0 + 600 = 800
 
 
  Average marks =
800
20
 = 40  
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12.
The average weight of 8 mariners in a vessel is increased by 1 kg if one of them weighing 56 kg is replaced by a new mariner. The weight of the new mariner is
  • A.
    57 kg
  • C.
    64 kg
  • B.
    60 kg
  • D.
    62 kg
  • Answer & Explanation
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Answer : [C]
Explanation :
The sailor weighing 56 kg is replaced and the average is increased by 1 kg.
Hence, the weight of the new sailor is (56 + increase in total weight) = 56 + 1 x 8
  = 56 + 8 = 64 kg
 
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13.
The average salary per head of all the staffs in a factory is Rs. 850, If the average salary per head of 7 technicians is Rs 1000 and the average salary per head of the rest is Rs 780, find the total number of staffs in the factory.
  • A.
    26
  • C.
    28
  • B.
    24
  • D.
    22
  • Answer & Explanation
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Answer : [D]
Explanation :
Let the total number of staffs be x
 
 
  850 x x = 7 x 1000 + (x - 7) x 780
 
 
  x = 22
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14.
The daily earnings of a Book seller during a week are : Rs. 70, Rs. 52.50, Rs. 60, Rs. 63, Rs. 68, Rs. 65, and Rs. 73. What is his average daily earning for the week?
  • A.
    Rs. 74.50
  • C.
    Rs. 64.50
  • B.
    Rs. 54.50
  • D.
    Rs. 84.50
  • Answer & Explanation
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Answer : [C]
Explanation :
Total earning for 7 days
  = Rs (70 + 52.50 + 60 + 63 + 68 + 65 + 73)
 
  = Rs. 451.50
 
  Average daily earning = Rs
451.50
7
 = Rs. 64.50  
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15.
The sum of 3 numbers is 98. If the ratio between 1st and 2nd be 2:3 and that between 2nd and 3rd be 5:8, then the 2nd number is
  • A.
    30
  • C.
    58
  • B.
    20
  • D.
    48
  • Answer & Explanation
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Answer : [A]
Explanation :
Let the numbers be x, y and z, Then
  x + y + z = 98,
x
y
 =
2
3
and
y
z
=
5
8
     
 
 
  x =
2y
3
 and z =
8y
5
 
  So,
2y
3
+ y +
8y
5
 = 98          
  or,
49y
15
 = 98 or, y = 30.          
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