Averages Quiz Set 015

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Question 1

The average weight of 13 students of a class is 39 Kg, whereas the average weight of remaining 17 students is 30 Kg. What is the average weight of all 30 students?

 A

$33{9/10}$.

 B

$35{2/29}$.

 C

$32{25/31}$.

 D

$36{9/28}$.

Soln.
Ans: a

Total weight of 13 students is 13 × 39 = 507. Similarly, the total weight of remaining 17 students is 17 × 30 = 510. The total weight of all 30 students is 507 + 510 = 1017. So the average = 1017/30 = $33{9/10}$.


Question 2

What is the increase in the average of 14 numbers if the number 12 is replaced by 152?

 A

10.

 B

11.

 C

9.

 D

12.

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 = 152, r = 12, n = 14. So increase = $(152 - 12)/14$ = 10.


Question 3

There are three sections in school with 30, 30 and 40 students respectively. The average weight of a student in these sections, respectively, is 6, 2 and 6 Kg. What is the average weight of all the the students of the combined sections?

 A

$4{4/5}$.

 B

$4{81/100}$.

 C

$4{79/100}$.

 D

$4{39/50}$.

Soln.
Ans: a

The sums of the weights of all the students is 30 × 6 + 30 × 2 + 40 × 6 = 480. The required average = 480/total students = $480/{30 + 30 + 40}$ = ${24/5}$, which is same as: $4{4/5}$.


Question 4

Two of the 26 numbers are 22 and 50, If these two are excluded the average of the remaining 24 numbers is 1 more than the average of all the 26 numbers. What is the average of all the 26 numbers?

 A

24.

 B

25.

 C

23.

 D

26.

Soln.
Ans: a

Let the required average be x. Then $26x - (22 + 50) = 24 × (x - 1).$ which gives $26x - 72 = 24 × (x - 1).$ Solving for x we get x = 24.


Question 5

The sales(in rupees) of a gift shop for six consecutive days is 1254, 5016, 4230, 876, 984 and 2076. What is the overall average sale for these six days?

 A

Rs.2406.

 B

Rs.2412.

 C

Rs.2400.

 D

Rs.2418.

Soln.
Ans: a

The total sale on first six days is 1254 + 5016 + 4230 + 876 + 984 + 2076 = 14436. The average for 6 days is: 14436/6, which gives Rs. 2406.


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Creative Commons License
This Blog Post/Article "Averages Quiz Set 015" 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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