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) 80
(b) 90
(c) 70
(d) 60
The correct answers to the above question in:
Answer: (a)
Number of successful students in the exam = x
∴ Number of unsuccessful students = 100 – x
According to the question,
30 = ${35x+10(100-x)}/100$
⇒ 3000 = 35x + 1000 – 10x
⇒ 3000 = 25x + 1000
⇒ 25x = 3000 – 1000 = 2000
⇒ x = $2000/25$ = 80
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Read more simple average Based Quantitative Aptitude Questions and Answers
Question : 1
The average of 30 numbers is 15. The average of the first 18 numbers is 10 and that of the next 11 numbers is 20. The last number is
a) 60
b) 50
c) 52
d) 56
Answer »Answer: (b)
Let the last number be x.
According to the question,
18 × 10 + 11 × 20 + x = 30 × 15
⇒ 180 + 220 + x = 450
⇒ 400 +x = 450
⇒ x = 450 – 400 = 50
Question : 2
A student was asked to find the arithmetic mean of the following 12 numbers : 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x He found the mean to be 12. The value of x will be :
a) 17
b) 31
c) 7
d) 3
Answer »Answer: (c)
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
Mean = ${3 +11+ 9+7+15+ 13+ 8 +19 +17 +21 +14+x}/12$
According to question,
${137+x}/12$ = 12
∴ 137 + x = 144
∴ x = 144 – 137 = 7
Question : 3
The average of 100 observations was calculated as 35. It was found later, that one of the observations was misread as 83 instead of 53. The correct average is :
a) 35.7
b) 36.7
c) 34.7
d) 32.7
Answer »Answer: (c)
Difference = 83 – 53 = 30
Incorrect observation > Correct observation
∴ Required average
= 35 - $30/100$ = 35 – 0.3 = 34.7
Question : 4
The average of 20 numbers is 15 and the average of first five is 12. The average of the rest is
a) 14
b) 13
c) 15
d) 16
Answer »Answer: (d)
If the average of remaining numbers be x, then
20 × 15 = 5 × 12 + 15x
⇒ 300 = 60 + 15x
⇒ 15x = 300 – 60 = 240
⇒ x = $240/15$ = 16
Aliter : Using Rule 13,
Here, m = 20, x = 15
n = 5, y = 12
Average of remaining Numbers = $({mx-ny}/{m-n})$
= $({20×15-5×12}/{20-5})$
= $({300-60}/15)$ = $240/15$ = 16
Question : 5
The average marks of 32 boys of section A of class X is 60 whereas the average marks of 40 boys of section B of class X is 33. The average marks for both the sections combined together is
a) 46$1/2$
b) 45$1/2$
c) 45
d) 44
Answer »Answer: (c)
Required average
${32×60+33×40}/72$
${1920+1320}/72$ = $3240/72$ = 45
Question : 6
The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is
a) 76 kg
b) 76.5 kg
c) 85 kg
d) 84 kg
Answer »Answer: (c)
Weight of new person
= (65 + 8 × 2.5) kg
= (65 + 20) kg
= 85 kg
Aliter : Using Rule 23,
Here, x = 2.5, n = 8
Weight of new person
= weight of replaced boy + x × n
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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