model 6 find average of excluded number 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) 47.9 kg
(b) 49.9 kg
(c) 45 kg
(d) 50.1 kg
The correct answers to the above question in:
Answer: (b)
Weight of the student who left = 50 × 45 – 49 × 44.9
= 2250 – 2200.1 = 49.9 kg.
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Read more excluded numbers Based Quantitative Aptitude Questions and Answers
Question : 1
The mean weight of 34 students of a school is 42 kg. If the weight of the teacher be included, the mean rises by 400 grams. Find the weight of the teacher (in kg).
a) 57 kg
b) 66 kg
c) 55 kg
d) 56 kg
Answer »Answer: (d)
Weight of the teacher = 42 kg. + ${35 × 400}/1000$kg
= 42 + 14 = 56 kg.
Aliter : Using Rule 24,
Here, x = $400/100$ = 0.4, n = 34
Weight of teacher = Average + x (n + 1)
= 42 + 0.4 (34 + 1)
= 42 + 14 = 56 kg
Question : 2
The average of five numbers is 140. If one number is excluded, the average of the remaining four numbers is 130. The excluded number is :
a) 134
b) 180
c) 135
d) 150
Answer »Answer: (b)
Required number = 5 × 140 – 4 × 130
= 700 – 520 = 180
Aliter : Using Rule 25,
Here, x = (140 – 130) = 10, n = 5
Excluded number = Average + x (n – 1)
= 140 + 10 × 4 = 180
Question : 3
The average of marks of 28 students in Mathematics was 50; 8 students left the school, then this average increased by 5. What is the average of marks obtained by the students who left the school ?
a) 37.5
b) 42.5
c) 50.5
d) 45
Answer »Answer: (a)
Total marks of 28 students = 28× 50 = 1400
Total marks of 20 students = 20 × 55 = 1100
∴Total marks of 8 students = 1400 – 1100 = 300
∴ Average = $300/8$ = 37.5
Question : 4
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
Question : 5
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 : 6
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
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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