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Average - General Questions (1)

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  • Average - General Questions
1. 

A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:

A. 10
B. 20
C. 40
D. 73

Answer: Option C

Explanation:

Let there be x pupils in the class.

Total increase in marks = 1-sym-oparen-h1 x x 1 1-sym-cparen-h1 = x
2 2
x = (83 - 63)    x = 20      x= 40.
2 2
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2. 

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

A. 53.33
B. 54.68
C. 55
D. None of these

Answer: Option B

Explanation:

Required average
= 1-sym-oparen-h1 55 x 50 + 60 x 55 + 45 x 60 1-sym-cparen-h1
55 + 60 + 45
 
= 1-sym-oparen-h1 2750 + 3300 + 2700 1-sym-cparen-h1
160
 
= 8750
160
  = 54.68
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3. 

The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.

A. 47.55 kg
B. 48 kg
C. 48.55 kg
D. 49.25 kg

Answer: Option C

Explanation:

Required average
= 1-sym-oparen-h1 50.25 x 16 + 45.15 x 8 1-sym-cparen-h1
16 + 8
 
= 1-sym-oparen-h1 804 + 361.20 1-sym-cparen-h1
24
 
= 1165.20
24
  = 48.55
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4. 

The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:

A. 17 kg
B. 20 kg
C. 26 kg
D. 31 kg

Answer: Option D

Explanation:

Let A, B, C represent their respective weights. Then, we have:

A + B + C = (45 x 3) = 135 .... (i)

A + B = (40 x 2) = 80 .... (ii)

B + C = (43 x 2) = 86 ....(iii)

Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)

Subtracting (i) from (iv), we get : B = 31.

 B's weight = 31 kg.

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5. 

In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

A. 67 kg.
B. 68 kg.
C. 69 kg.
D. Data inadequate
E. None of these

Answer: Option A

Explanation:

Let Arun's weight by X kg.

According to Arun, 65 < X < 72

According to Arun's brother, 60 < X < 70.

According to Arun's mother, X <= 68

The values satisfying all the above conditions are 66, 67 and 68.

 Required average = 1-sym-oparen-h1 66 + 67 + 68 1-sym-cparen-h1 = 1-sym-oparen-h1 201 1-sym-cparen-h1 = 67 kg.
3 3
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6. 

A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?

A. Rs. 7.98
B. Rs. 8
C. Rs. 8.50
D. Rs. 9

Answer: Option A

Explanation:

Total quantity of petrol
consumed in 3 years
= 1-sym-oparen-h1 4000 + 4000 + 4000 1-sym-cparen-h1  litres
7.50 8 8.50
 
= 4000 1-sym-oparen-h1 2 + 1 + 2 1-sym-cparen-h1  litres
15 8 17
 
= 1-sym-oparen-h1 76700 1-sym-cparen-h1  litres
51

Total amount spent = Rs. (3 x 4000) = Rs. 12000.

 Average cost = Rs. 1-sym-oparen-h1 12000 x 51 1-sym-cparen-h1 = Rs. 6120   = Rs. 7.98
76700 767
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7. 

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

A. 35 years
B. 40 years
C. 50 years
D. None of these

Answer: Option B

Explanation:

Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.

Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.

 Husband's present age = (90 - 50) years = 40 years.

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8. 

The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:

A. 3500
B. 4000
C. 4050
D. 5000

Answer: Option B

Explanation:

Let P, Q and R represent their respective monthly incomes. Then, we have:

P + Q = (5050 x 2) = 10100 .... (i)

Q + R = (6250 x 2) = 12500 .... (ii)

P + R = (5200 x 2) = 10400 .... (iii)

Adding (i), (ii) and (iii), we get:  2(P + Q + R) = 33000  or   P + Q + R = 16500 .... (iv)

Subtracting (ii) from (iv), we get P = 4000.

 P's monthly income = Rs. 4000.

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