model 2 average of consecutive numbers 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) 38.5
(b) 37.5
(c) 36
(d) 35.5
The correct answers to the above question in:
Answer: (a)
Using Rule 4,
Average of $1^2,2^2,3^2,4^2…x^2$ = ${(n+1)(2n+1)}/6$
${1^2+2^2+3^2+…+n^2}/n$ = ${(n+1)(2n+1)}/6$
∴ ${1^2+2^2+3^2+…+10^2}/10$ = ${(10+1)(2×10+1)}/6$
= ${11×21}/6$ = 38.5
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Read more consecutive numbers Based Quantitative Aptitude Questions and Answers
Question : 1
The average of odd numbers upto 100 is
a) 49
b) 49.5
c) 50
d) 50.5
Answer »Answer: (c)
Formula,
Average of the first n natural odd numbers = $n/2$
Number of odd numbers upto $100/2$ = 50 = required average
Aliter : Using Rule 7,
Odd numbers are 1, 3, 5, ............., 99
Total odd numbers are= 50
∴ Average = 50
Question : 2
a, b, c, d, e, f, g are consecutive even numbers. j, k, l, m, n are consecutive odd numbers. The average of all the numbers is
a) $({j+c+n+g}/4)$
b) $({a+b+m+n}/4)$
c) $({l+d}/2)$
d) 3$({a+n}/2)$
Answer »Answer: (c)
Average of a, b, c, d, e, f, g = d
Average of j, k, l, m, n, = l
∴ Required average = ${d+l}/2$
Question : 3
The average of 5 consecutive natural numbers is m. If the next three natural numbers are also included, how much more than m will the average of these 8 numbers be?
a) 1.5
b) 1.4
c) 1
d) 2
Answer »Answer: (a)
Using Rule 1,
Average of numbers = ${x_1+x_2+…+x_n}/n$
The average will increase by 1.5.
As, ${1+2+3+4+5}/5$ = 3,
${1+2+3+4+5+6+7+8}/8$ = 4.5
⇒ 4.5 - 3 = 1.5
Question : 4
The average of five consecutive positive integers is n. If the next two integers are also included, the average of all these integers will
a) increase by 2
b) remain the same
c) increase by 1
d) increase by 1.5
Answer »Answer: (c)
Five consecutive integers are :
x, x + 1, x + 2, x + 3 and x + 4
∴ Their average
= ${x+x+1+x+2+x+3+x+4}/5$
= ${5x+10}/5$ = x+2
New average
= ${(5x+10)+x+5+x+6}/7$
= ${7x+21}/7$= x + 3
Difference = x + 3 – x – 2 = 1
Question : 5
If the average of eight consecutive even numbers be 93, then the greatest number among them is
a) 98
b) 102
c) 86
d) 100
Answer »Answer: (d)
Average of 8 consecutive even numbers = 93
∴ Fifth number = 93 + 1 = 94
∴ Largest number = 94 + 6 = 100
Question : 6
Eight consecutive numbers are given. If the average of the two numbers that appear in the middle is 6, then the sum of the eight given numbers is
a) 48
b) 36
c) 64
d) 54
Answer »Answer: (a)
Let the first number be x.
∴ x + 3 + x + 4 = 2 × 6
⇒ 2x + 7 = 12
⇒ 2x = 5 ⇒ x =$5/2$
∴ x + (x + 1) + ....... + (x + 7) = 8x + 28
= 8×$5/2$+ 28 = 20 + 28 = 48
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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