model 1 basic average questions 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 : 11
If the average of x and $1/x (x ≠ 0)$ is M, then the average of $x^2$ and $1/x^2$is :
a) $1-M^2$
b) $1-2M$
c) $2M^2-1$
d) $2M^2+1$
Answer »Answer: (c)
Question : 12
If the average of m numbers is $n^2$ and that of n numbers is $m^2$, then average of (m + n) numbers is
a) $m/n$
b) m+n
c) mn
d) m-n
Answer »Answer: (c)
The average of m numbers = n2
Total number of ‘m’ numbers = m × n²
And the average of n numbers = m2
Total number of ‘n’ numbers = n × m²
∴ Average of (m + n) numbers
= ${mn² + m²n}/{m + n} = {mn(n + m)}/{m + n} = mn$
Question : 13
Numbers of boys and girls are ‘x’ and ‘y’ respectively. Ages of a girl and a boy are ‘a’ years and ‘b’ years respectively. The average age (in years) of all boys and girls is
a) $\text"x+y"/\text"bx+ay"$
b) $\text"x+y"/\text"bx+ay"$
c) $\text"bx+ay"/\text"x+y"$
d) $\text"x+y"/\text"ax+by"$
Answer »Answer: (c)
According to question,
Total age of boys = ap years
Total age of girls = bq years
∴ Required average =${ap + bq}/{p +q}$
Question : 14
Six friends have an average height of 167 cms. A boy with height 162 cm leaves the group. Find the new average height.
a) 169 cm
b) 167 cm
c) 166 cm
d) 168 cm
Answer »Answer: (d)
Total height of 5 friends
= (6 × 167 – 162) cm.
= (1002 – 162) cm.
= 840 cm.
∴ Required average = $840/ 5$
= 168 cm.
Question : 15 [SSC CGL Tier-I 2015]
The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew, who weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg).
a) 66
b) 43
c) 65
d) 67
Answer »Answer: (a)
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
If the average age decreases by ‘t’ years after entry of new person, then the age of the new person = T – N.t
Here, N = 15, T = 42, t = 1.6
Weight of new oarsman
= (42 + 15 × 1.6) kg.
= (42 + 24) kg. = 66 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 1 basic average questions Shortcuts »
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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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