model 1 basic average questions Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 9 EXERCISES
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Basic Average Questions Practice Test, Shortcuts, Tricks, PDF »
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New Average Aptitude MCQ Average of Consecutive Numbers »
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Top 99+ Average Aptitude: Twice, One Third of Numbers MCQ »
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New +99 Average Aptitude MCQ Find nth Average of Numbers »
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99+ Average Aptitude Find New Average from Error MCQ Test »
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Top 99+ Aptitude MCQ Test on Average With Excluded Number »
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Top 99+ Aptitude Average on Ages & Weights MCQ Test Quiz »
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Top Aptitude Average MCQ Find Monthly Income for Average »
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Top 149+ Aptitude Average on Cricket & Exam MCQ Test Quiz »
The following question based on average topic of quantitative aptitude
(a) 625
(b) 50
(c) 25
(d) 125
The correct answers to the above question in:
Answer: (c)
Sum of first n odd natural numbers = $n^2$
∴ Their average = ${n^2}/n$ = n
∴ Required average = 25
because n = 25
Aliter : Using Rule 7,
Average = 25
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Read more simple average Based Quantitative Aptitude Questions and Answers
Question : 1
The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E whose weight is 3 kg more then that of D, replaces A, then the average weight of B, C, D and E becomes 79 kg. Then weight of A is
a) 75 kg.
b) 76 kg.
c) 74 kg.
d) 72 kg.
Answer »Answer: (a)
D’s weight = 80 × 4 – 84 × 3
= 320 – 252 = 68 kg.
E’s weight = 68 + 3 = 71 kg.
Total weight of (A + B + C + D + E)
= 84 × 3 + 68 + 71
= 252 + 68 + 71 = 391 kg.
Total weight of (B + C + D + E)
= 79 × 4 = 316 kg.
∴ A’s weight= 391 – 316 = 75 kg.
Question : 2
The average of 30 results is 20 and the average of other 20 results is 30. What is the average of all the results ?
a) 25
b) 50
c) 48
d) 24
Answer »Answer: (d)
Using Rule 10,
If the average of '$n_1$' numbers is $a_1$ and the average of '$n_2$' numbers is $a_2$, then average of total numbers $n_1$ and $n_2$ is
$Average = {n_1a_1 + n_2a_2}/{n_1 + n_2}$
Required average
= ${20×30+20×30}/{30+20}$
= ${600+600}/50$
= $1200/50$ = 24
Question : 3
If average of 20 observations $x_1 , x_2 , ....., x_20$ is y, then the average of $x_1 – 101, x_2 – 101, x_3 – 101, ....., x_20 –101$ is
a) 20y
b) 101y
c) y – 101
d) y – 20
Answer »Answer: (c)
Using Rule 2,
If the given observations (x) are occuring with certain frequency (A) then,
$Average = {A_1x_1+A_2x_2+...............+A_nx_n}/{x_1+x_2+......+x_n}$
where, $A_1, A_2, A_3, .......... A_n$ are frequencies
Required average
${x_1+x_2+…+x_20}/20$ = ${101×2}/20$
= y-101
Question : 4
The average income of 40 persons is Rs. 4200 and that of another 35 persons is Rs. 4000. The average income of the whole group is :
a) Rs.4106$2/3$
b) Rs.4108$1/3$
c) Rs.4106$1/3$
d) Rs.4100
Answer »Answer: (a)
Using Rule 2,
If the given observations (x) are occuring with certain frequency (A) then,
$Average = {A_1x_1+A_2x_2+...............+A_nx_n}/{x_1+x_2+......+x_n}$
where, $A_1, A_2, A_3, .......... A_n$ are frequenciesAverage income of whole group
= ${4200×40+4000×35}/75$
= ${168000+140000}/75$
= $308000/75$ =Rs. 4106$2/3$
Question : 5
The average of some natural numbers is 15. If 30 is added to first number and 5 is subtracted from the last number the average becomes 17.5 then the number of natural number is
a) 20
b) 10
c) 30
d) 15
Answer »Answer: (b)
Number of natural numbers = x
∴ Their sum = 15x
According to the question,
15x + 30 – 5 = x × 17.5
⇒ 17.5x – 15x = 25
⇒ 2.5x = 25
⇒ x = $25/2.5$ = 10
Question : 6
The mean of 9 observations is 16. One more observation is included and the new mean becomes 17. The 10th observation is
a) 26
b) 30
c) 16
d) 9
Answer »Answer: (a)
Mean of Ten observations – Mean of nine observations
Tenth observation
= 10 × 17 – 16 × 9
= 170 – 144 = 26
Aliter : Using Rule 19,
Here, N = 9, T = 16
n = 1, t = 1
10th observation
= T+ $({N/n}+1)$t
= 16+$(9/1+1) ×1$
= 16 + 10 = 26
GET average PRACTICE TEST EXERCISES
model 1 basic average questions
model 2 average of consecutive numbers
model 3 twice, thrice, one third etc. of numbers
model 4 find nth average from 1st & last number
model 5 find new average from error
model 6 find average of excluded number
model 7 average on ages/weight
model 8 find monthly income
model 9 average on cricket/exam
average Shortcuts and Techniques with Examples
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model 1 basic average questions
Defination & Shortcuts … -
model 2 average of consecutive numbers
Defination & Shortcuts … -
model 3 twice, thrice, one third etc. of numbers
Defination & Shortcuts … -
model 4 find nth average from 1st & last number
Defination & Shortcuts … -
model 5 find new average from error
Defination & Shortcuts … -
model 6 find average of excluded number
Defination & Shortcuts … -
model 7 average on ages/weight
Defination & Shortcuts … -
model 8 find monthly income
Defination & Shortcuts … -
model 9 average on cricket/exam
Defination & Shortcuts …
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