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) 20
(b) 10
(c) 30
(d) 15
The correct answers to the above question in:
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
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Read more simple average Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
The average of 1, 3, 5, 7, 9, 11, -------- to 25 terms is
a) 625
b) 50
c) 25
d) 125
Answer »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
Question : 3
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 : 4
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
Question : 5
There are two groups A and B of a class, consisting of 42 and 28 students respectively. If the average weight of group A is 25 kg and that of group B is 40 kg, find the average weight of the whole class.
a) 70 kg
b) 30 kg
c) 31 kg
d) 69 kg
Answer »Answer: (c)
Required average weight
= ${42×25+28×40}/{42+28}$
= ${1050+1120}/70$ = $2170/70$ = 31kg
Aliter : Using Rule 10,
Here, $n_1$ = 42, $a_1$ = 25
$n_2$ = 28, $a_2$ = 40
∴ Average = ${n_1a_1+ n_2a_2}/{n_1+ n_2}$
Question : 6
The average monthly expenditure of a family is Rs.2,200 during first three months,Rs.2,550 during next four months and Rs.3,120 during last five months of the year. If the total savings during the year was Rs.1,260, what is the average monthly income ?
a) Rs.2,805
b) Rs.2,850
c) Rs.1,280
d) Rs.1,260
Answer »Answer: (a)
Using Rule 1,
Average of two or more numbers/quantities is called the mean of these numbers, which is given by
$\text"Average(A)" = \text"Sumof observation / quantities"/\text"No of observation / quantities"$
∴ S = A × n
Total expenditure of the year
= Rs.(3 × 2200 + 4 × 2550 + 5 × 3120)
= Rs. (6600 + 10200 + 15600)
= Rs.32400
∴ Total income of the year
= Rs. (32400 + 1260)
= Rs.33660
∴ Average monthly income
= Rs.$33660/12$ = Rs. 2805
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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