model 2 average of consecutive numbers Practice Questions Answers Test with Solutions & More Shortcuts
average PRACTICE TEST [9 - 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
Question : 21 [SSC CHSL 2012]
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
Question : 22 [SSC CGL Tier-II 2015]
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 : 23 [SSC CGL Tier-II 2015]
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 : 24 [SSC SAS 2010]
The average of the squares of first ten natural numbers is
a) 38.5
b) 37.5
c) 36
d) 35.5
Answer »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
Question : 25 [ SSC CGL Tier-I 2010]
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
IMPORTANT quantitative aptitude EXERCISES
-
Basic Average Questions Practice Test, Shortcuts, Tricks, PDF »
-
New Average Aptitude MCQ Average of Consecutive Numbers »
-
Top 99+ Average Aptitude: Twice, One Third of Numbers MCQ »
-
New +99 Average Aptitude MCQ Find nth Average of Numbers »
-
99+ Average Aptitude Find New Average from Error MCQ Test »
-
Top 99+ Aptitude MCQ Test on Average With Excluded Number »
-
Top 99+ Aptitude Average on Ages & Weights MCQ Test Quiz »
-
Top Aptitude Average MCQ Find Monthly Income for Average »
-
Top 149+ Aptitude Average on Cricket & Exam MCQ Test Quiz »
model 2 average of consecutive numbers Shortcuts »
Click to Read...model 2 average of consecutive numbers Online Quiz
Click to Start..average Shortcuts and Techniques with Examples
-
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 …
quantitative aptitude CATEGORIES
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
SSC STENO: Time & Work Questions Solved Problems with PDF
Free Time and work Aptitude-based Practice multiple questions with solutions, Quiz series, Mock Test & Downloadable PDF for SSC Steno (Grade C & D) 2024 Exam
Continue Reading »
SSC STENO 2024: Free Reading Comprehension MCQ Test PDF
Top Reading Comprehension English Section-wise multiple choice questions and answers, Full Mock Test Series & Online Quiz for SSC Steno Grade C & D 2024 Exam
Continue Reading »
Free Percentage Questions Answers for SSC STENO 2024 Exam
Important Top Percentage Aptitude-based multiple choice questions and answers practice quiz series, Online Mock Test PDF for SSC Steno Grade C & D 2024 Exam
Continue Reading »
Free Antonyms (English) MCQ Test for SSC STENO 2024 Exam
Top Antonyms General English Section-based multiple choice questions and answers, Free Full Test Series & Online Quiz PDF for SSC Steno Grade C & D 2024 Exam
Continue Reading »