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 : 16 [SSC Multi-Tasking Staff 2013]
Six tables and twelve chairs were bought for Rs.7,800. If the average price of a table is Rs.750, then the average price of a chair would be
a) Rs.150
b) Rs.175
c) Rs.275
d) Rs.250
Answer »Answer: (c)
Average cost of a chair
=Rs. x, then
x × 12 + 6 × 750 = 7800
⇒ 12x = 7800 – 4500 = 3300
⇒ x = $3300/12$ = Rs. 275
Question : 17 [SSC CGLTier-I 2012]
The average monthly expenditure of a family is Rs.2,200 during first three months,Rs.2,550 during next four months and Rs.3,120 during last five months of the year. If the total savings during the year was Rs.1,260, what is the average monthly income ?
a) Rs.2,805
b) Rs.2,850
c) Rs.1,280
d) Rs.1,260
Answer »Answer: (a)
Using Rule 1,
Average of two or more numbers/quantities is called the mean of these numbers, which is given by
$\text"Average(A)" = \text"Sumof observation / quantities"/\text"No of observation / quantities"$
∴ S = A × n
Total expenditure of the year
= Rs.(3 × 2200 + 4 × 2550 + 5 × 3120)
= Rs. (6600 + 10200 + 15600)
= Rs.32400
∴ Total income of the year
= Rs. (32400 + 1260)
= Rs.33660
∴ Average monthly income
= Rs.$33660/12$ = Rs. 2805
Question : 18 [SSC FCI 2013]
There are two groups A and B of a class, consisting of 42 and 28 students respectively. If the average weight of group A is 25 kg and that of group B is 40 kg, find the average weight of the whole class.
a) 70 kg
b) 30 kg
c) 31 kg
d) 69 kg
Answer »Answer: (c)
Required average weight
= ${42×25+28×40}/{42+28}$
= ${1050+1120}/70$ = $2170/70$ = 31kg
Aliter : Using Rule 10,
Here, $n_1$ = 42, $a_1$ = 25
$n_2$ = 28, $a_2$ = 40
∴ Average = ${n_1a_1+ n_2a_2}/{n_1+ n_2}$
Question : 19 [SSC CISF 2010]
The mean of 9 observations is 16. One more observation is included and the new mean becomes 17. The 10th observation is
a) 26
b) 30
c) 16
d) 9
Answer »Answer: (a)
Mean of Ten observations – Mean of nine observations
Tenth observation
= 10 × 17 – 16 × 9
= 170 – 144 = 26
Aliter : Using Rule 19,
Here, N = 9, T = 16
n = 1, t = 1
10th observation
= T+ $({N/n}+1)$t
= 16+$(9/1+1) ×1$
= 16 + 10 = 26
Question : 20 [SSC CAPFs SI, CISF 2015]
The average of some natural numbers is 15. If 30 is added to first number and 5 is subtracted from the last number the average becomes 17.5 then the number of natural number is
a) 20
b) 10
c) 30
d) 15
Answer »Answer: (b)
Number of natural numbers = x
∴ Their sum = 15x
According to the question,
15x + 30 – 5 = x × 17.5
⇒ 17.5x – 15x = 25
⇒ 2.5x = 25
⇒ x = $25/2.5$ = 10
IMPORTANT quantitative aptitude EXERCISES
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Basic Average Questions Practice Test, Shortcuts, Tricks, PDF »
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Top 99+ Average Aptitude: Twice, One Third of Numbers MCQ »
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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 »
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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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