model 6 find average of excluded number 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 : 1 [SSC CGL Tier-I 2014]
A student finds the average of 10, 2 – digit numbers. If the digits of one of the numbers is interchanged, the average increases by 3.6. The difference between the digits of the 2-digit numbers is
a) 3
b) 2
c) 4
d) 5
Answer »Answer: (c)
Total increase = 3.6 × 10 = 36
∴ If the number be 10x + y,
then Number obtained after reversing the digits = 10y + x
∴ 10y + x – 10x – y = 36
⇒ 9y – 9x = 36
⇒ 9 (y – x) = 36
⇒ y – x = $36/9$ = 4
Question : 2
In a class, the average score of girls in an examination is 73 and that of boys is 71. The average score for the whole class is 71.8. Find the percentage of girls.
a) 50%
b) 55%
c) 40%
d) 60%
Answer »Answer: (c)
Let the number of boys be x and that of girls be y.
∴ 71x + 73y = 71.8 (x + y)
⇒ 71.8x – 71x = 73y – 71.8y
⇒ 0.8x = 1.2y
⇒ $\text"x"/ \text"y"$ = ${1.2}/{0.8}$ = $12/8$ = $3/2$
∴ $\text"x"/\text"y"$+1 = $3/2$ + 1⇒ $\text"x+y"/ \text"y"$ = $5/2$
∴ Percentage of girls
= $\text"y"/ \text"x+y"$ × 100= $2/5$ × 100= 40%
Question : 3 [SSC MTS 2013]
Average weight of 25 students of a class is 50 kg. If the weight of the class teacher is included, the average is increased by 1 kg. The weight of the teacher is
a) 77 kg
b) 74 kg
c) 76 kg
d) 75 kg
Answer »Answer: (c)
Weight of teacher = 50 + 26 × 1 = 76 kg
Aliter : Using Rule 24,
( If a new member is added in a group then. age (or income) of added member = Average (or income) ± x (n + 1)
where x = increase (+) or decrease (–) in average age (or income) n = Number of members. )
Here, N = 50, T = 45, t = $1/10$ = 0.1
Weight of teacher = Average + × (n + 1)
= 50 + 1 (25 + 1)
= 50 + 26 = 76 kg
Question : 4 [SSC CHSL 2010]
The average of five numbers is 7. When three new numbers are included, the average of the eight numbers becomes 8.5. The average of the three new numbers is
a) 10.5
b) 11
c) 9
d) 11.5
Answer »Answer: (b)
Sum of the three new numbers
= 8 × 8.5 – 5 × 7 = 68 – 35 = 33
∴ Required average = $33/3$ = 11
Question : 5 [SSC Delhi Police 2012]
The average weight of 40 children of a class is 36.2 kg. When three more children with weight 42.3 kg, 39.7 kg and 39.5 kg join the class, the average weight of the 43 children in the class is
a) 36.5 kg
b) 38.35 kg
c) 39.2 kg
d) 37.3 kg
Answer »Answer: (a)
Total weight of 40 children = 40 × 36.2 kg = 1448 kg
Total weight of 43 children = 1448 + 42.3 + 39.7 + 39.5 = 1569.5 kg
∴ Required average weight = $1569.5/43$ = 36.5 kg
IMPORTANT quantitative aptitude 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 »
model 6 find average of excluded number Shortcuts »
Click to Read...model 6 find average of excluded number Online Quiz
Click to Start..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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