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) Rs.2,805
(b) Rs.2,850
(c) Rs.1,280
(d) Rs.1,260
The correct answers to the above question in:
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
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Read more simple average Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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 : 4
Six tables and twelve chairs were bought for Rs.7,800. If the average price of a table is Rs.750, then the average price of a chair would be
a) Rs.150
b) Rs.175
c) Rs.275
d) Rs.250
Answer »Answer: (c)
Average cost of a chair
=Rs. x, then
x × 12 + 6 × 750 = 7800
⇒ 12x = 7800 – 4500 = 3300
⇒ x = $3300/12$ = Rs. 275
Question : 5
The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew, who weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg).
a) 66
b) 43
c) 65
d) 67
Answer »Answer: (a)
Using Rule 18,
If in the group of N persons, a new person comes at the place of a person of ‘T’ years, so that average age, increases by ‘t’ years
Then, the age of the new person = T + N.t
If the average age decreases by ‘t’ years after entry of new person, then the age of the new person = T – N.t
Here, N = 15, T = 42, t = 1.6
Weight of new oarsman
= (42 + 15 × 1.6) kg.
= (42 + 24) kg. = 66 kg.
Question : 6
Six friends have an average height of 167 cms. A boy with height 162 cm leaves the group. Find the new average height.
a) 169 cm
b) 167 cm
c) 166 cm
d) 168 cm
Answer »Answer: (d)
Total height of 5 friends
= (6 × 167 – 162) cm.
= (1002 – 162) cm.
= 840 cm.
∴ Required average = $840/ 5$
= 168 cm.
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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