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) 26
(b) 25
(c) 23
(d) 21
The correct answers to the above question in:
Answer: (c)
Using Rule 1,
Average of numbers = ${x_1+x_2+…+x_n}/n$
x+x+1+x+2+x+3+x+4+x+5+x+ 6 = 26 × 7
⇒ 7x + 21 = 182
⇒ 7x = 182 – 21 = 161
⇒ x = $161/7$ = 23
Shortcut Approach
Fourth number = 26
∴ First number = 23
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Read more consecutive numbers Based Quantitative Aptitude Questions and Answers
Question : 1
The average of first ten prime numbers is
a) 13
b) 12.9
c) 10
d) 10.1
Answer »Answer: (b)
Required average
= ${2+3+5+7+11+13+17+19+23+29}/10$
= $129/10$ = 12.9
Question : 2
The average of 6 consecutive natural numbers is K. If the next two natural numbers are also included, how much more than K will the average of these 8 numbers be?
a) 1.8
b) 2
c) 1
d) 1.3
Answer »Answer: (c)
x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 6K
⇒ 6x + 15 = 6K
⇒ x + $15/6$ = K
⇒ x + $5/2$ = K ..... (i)
Again, ${x+(x+1)+…+(x+6)+(x+7)}/8$
= ${8x}/2$ + $28/8$ = x +$7/2$ ........ (ii)
Now, x + $7/2$ – x – $5/2$ = 1
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
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 : 5
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
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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