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) 25.2°C
(b) 25.6° C
(c) 25°C
(d) 25.5°C
The correct answers to the above question in:
Answer: (b)
Temperature on 4th day
= (4 × 25 + 4 × 25.5 –25.2 × 7)°C
= (100 + 102 – 176.4)°C
= 25.6°C
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Read more simple average Based Quantitative Aptitude Questions and Answers
Question : 1
The average of all the numbers between 6 and 50 which are divisible by 5 is
a) 28.5
b) 22
c) 30
d) 27.5
Answer »Answer: (d)
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
Numbers are : 10, 15, 20, 25, 30, 35, 40, 45
Sum = 220
Average = $220/8$ = 27.5
Question : 2
The average of n numbers $x_1 , x_2 , .... x_n$ is $\ov{x}$ . Then the value of $∑↙{i=1} ↖n $$(x_i - \ov{x})$ is equal to
a) n$\ov{x}$
b) $\ov{x}$
c) 0
d) n
Answer »Answer: (c)
Using Rule 1,
${x_1+x_2+…x_n}/n$ = $\ov{x}$
∴ $??{i=1}?n $$(x_i - \ov{x})$
= $(x_1 - \ov{x})$+$(x_2 - \ov{x})$+…$(x_n - \ov{x})$
= $({x_1+x_2+…+x_n})$ - n.$\ov{x}$
=n $({x_1+x_2+…+x_n}/n)$ - n.$\ov{x}$
= $n\ov{x} – n\ov{x}$ = 0
Question : 3
The average marks of 50 students in a class is 72. The average marks of boys and girls in that subject are 70 and 75 respectively. The number of boys in the class is
a) 25
b) 30
c) 35
d) 20
Answer »Answer: (b)
Number of students in the class = x (let)
∴ Number of girls = 50 – x
According to the question,
x × 70 + (50 – x) × 75
= 50 × 72
⇒ 70x + 3750 – 75x = 3600
⇒ 3750 – 5x = 3600
⇒ 5x = 3750 – 3600 = 150
⇒ x = $150/5$ = 30
Question : 4
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is
a) 55
b) None of these
c) 53.33
d) 54.68
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
$Average = {n_1a_1 + n_2a_2}/{n_1 + n_2}$
The required average marks
= ${55×50+60×55+45×60}/{55+60+45}$
= ${2750+3300+2700}/{160}$
= $8750/160$ = 54.68
Question : 5
The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is
a) 14
b) 20
c) 5
d) 4
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 mean
= ${1×1+2×2+3×3+4×4+5×5+6×6+7×7}/{1+2+3+4+5+6+7}$
= ${1+4+9+16+25+36+49}/28$
= $140/28$ = 5
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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