model 5 find new average from error 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 CPO 2009]
The average weight of 15 students in a class increases by 1.5kg when one of the students weighing 40 kg is replaced by a new student. What is the weight (in kg) of the new student ?
a) 56 kg.
b) 64.5 kg.
c) 62.5 kg.
d) 60 kg.
Answer »Answer: (c)
Weight of the new student
= (40 + 15 × 1.5) kg
= (40 + 22.5) kg
= 62.5 kg
Aliter : Using Rule 18,
If in the group of N persons, a new person comes at the place of a person of 'T’ years, so that average age,
increases by 't’ years
Then, the age of the new person = T + N.t.
Here, N = 15, T = 40, t = 1.5
Weight of new Person = T + Nt
= 40 + 15 × 1.5
= 40 + 22.5
= 62.5 kg.
Question : 22 [SSC CGL Prelim 2003]
The average weight of three men A, B and C is 84 kg. D joins them and the average weight of the four becomes 80 kg. If E whose weight is 3 kg more than that of D, replaces A, the average weight of B, C, D and E becomes 79 kg. The weight of A is
a) 70 kg.
b) 65 kg.
c) 80 kg.
d) 75 kg.
Answer »Answer: (d)
Total weight of A, B and C = 84 × 3 = 252 kg.
Again, A + B + C + D = 80 × 4 = 320 kg.
∴ D = (320 – 252) kg. = 68 kg.
E = 68 + 3 = 71 kg.
B + C + D + E = 79 × 4 = 316 kg.
Now, (A + B + C + D) – (B + C + D +E) = (320 – 316) kg.
∴ A – E = 4 kg.
or A = 4 + E = 4 + 71 = 75 kg
Question : 23
A student finds the average of ten 2-digit numbers. While copying numbers, by mistake, he writes one number with its digits interchanged. As a result his answer is 1.8 less than the correct answer. The difference of the digits of the number, in which he made mistake, is
a) 3
b) 2
c) 6
d) 4
Answer »Answer: (b)
Difference in average = 1.8
∴ Difference between the number and the number formed by interchanging the digits
= 1.8 × 10 = 18
(Since 53 – 35 = 18)
∴ Number = 35
∴ Difference of digits = 5 – 3 = 2
Question : 24
The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average one number, namely 36, was wrongly read as 26. The correct average is
a) 18
b) 20
c) 14
d) 16
Answer »Answer: (d)
Correct total of 10 numbers = 15 × 10 – 26 + 36 = 160
∴ Correct average = $160/10$ = 16
Aliter : Using Rule 26,
If average of n numbers is m later on it was found that a number 'a’ was misread as 'b’.
The correct average will be = m +${\text"(a-b)"}/ \text"n"$.
Here, n = 10, m =15
a = 36, b = 26
Correct Average = m + ${\text"(a - b)"}/\text"n"$
= 15 +${(36 – 26)}/10$
= 15 + 1 = 16
Question : 25
The average of a collection of 20 measurements was calculated to be 56 cm. But later it was found that a mistake had occurred in one of the measurements which was recorded as 64 cm., but should have been 61 cm. The correct average must be
a) 54.5 cm
b) 53 cm
c) 56.15 cm
d) 55.85 cm
Answer »Answer: (d)
Total length of 20 measurements = 56 × 20 = 1120 cm
Correct length of 20 measurements = 1120 – 64 + 61 = 1117
Correct average = $1117/20$ = 55.85 cm
Aliter : Using Rule 26,
If average of n numbers is m later on it was found that a number 'a’ was misread as 'b’.
The correct average will be = m +${\text"(a-b)"}/ \text"n"$.
Here, n = 20, m = 56
a = 61, b = 64
Correct Average = m +${\text"(a-b)"}/ \text"n"n$
= 56 +$({61-64}/20)$
= 56 -$3/20$
= 56 – 0.15 = 55.85 cm
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 »
-
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 5 find new average from error Shortcuts »
Click to Read...model 5 find new average from error 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 …
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