Averages Quiz Set 011

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Question 1

A box contains 5 marbles each having a weight of 66 grams. The box also contains 25 marbles each having a weight of 96 grams. What is the average weight of all the marbles in the box?

 A

91 grams.

 B

92 grams.

 C

90 grams.

 D

89 grams.

Soln.
Ans: a

The weighted average = ${5 × 66 + 25 × 96}/30$, which equals ${330 + 2400}/30$ = 91.


Question 2

The sales(in rupees) of a gift shop for six consecutive days is 5028, 3042, 4446, 786, 5376 and 2838. What is the overall average sale for these six days?

 A

Rs.3586.

 B

Rs.3592.

 C

Rs.3580.

 D

Rs.3598.

Soln.
Ans: a

The total sale on first six days is 5028 + 3042 + 4446 + 786 + 5376 + 2838 = 21516. The average for 6 days is: 21516/6, which gives Rs. 3586.


Question 3

Two of the 28 numbers are 24 and 58, If these two are excluded the average of the remaining 26 numbers is 1 more than the average of all the 28 numbers. What is the average of all the 28 numbers?

 A

28.

 B

29.

 C

27.

 D

30.

Soln.
Ans: a

Let the required average be x. Then $28x - (24 + 58) = 26 × (x - 1).$ which gives $28x - 82 = 26 × (x - 1).$ Solving for x we get x = 28.


Question 4

If the average of p and q is 20, the average of q and r is 54, and of r and p is 64, then what is the value of p?

 A

30.

 B

31.

 C

29.

 D

32.

Soln.
Ans: a

We have three equations (p + q)/2 = average of pq, (q + r)/2 = average of qr and (r + p)/2 = average of rp. Adding these three we get p + q + r = (average of pq + average of qr + average of rp) = (20 + 54 + 64) = 138. So p = 138 - (q + r) = 138 - (2 × average of q and r) = 138 - 2 × 54 = 30.


Question 5

What is the increase in the average of 11 numbers if the number 13 is replaced by 112?

 A

9.

 B

10.

 C

8.

 D

11.

Soln.
Ans: a

If a number r is replaced by a number R, the increase/decrease of average is determined according to the formula $(R - r)/n$. So in our case we have R = 112, r = 13, n = 11. So increase = $(112 - 13)/11$ = 9.


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Creative Commons License
This Blog Post/Article "Averages Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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