model 1 basic average questions Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 9 EXERCISES
-
Basic Average Questions Practice Test, Shortcuts, Tricks, PDF »
-
New Average Aptitude MCQ Average of Consecutive Numbers »
-
Top 99+ Average Aptitude: Twice, One Third of Numbers MCQ »
-
New +99 Average Aptitude MCQ Find nth Average of Numbers »
-
99+ Average Aptitude Find New Average from Error MCQ Test »
-
Top 99+ Aptitude MCQ Test on Average With Excluded Number »
-
Top 99+ Aptitude Average on Ages & Weights MCQ Test Quiz »
-
Top Aptitude Average MCQ Find Monthly Income for Average »
-
Top 149+ Aptitude Average on Cricket & Exam MCQ Test Quiz »
The following question based on average topic of quantitative aptitude
(a) $(x^3+y^3)/\text"x+y"$
(b) $xy$
(c) $(x^2+y^2)/\text"x+y"$
(d) $xy^2+yx^2$
The correct answers to the above question in:
Answer: (b)
According to the question,
Average of x number is y2
∴ Sum of x number is = xy2
Average of y number is = x2
∴ Sum of y number is = yx2
Average of all number is
= ${xy^2+yx^2}/{x+y}$
= ${xy(x+y)}/{x+y}$
= xy
Discuss Form
Read more simple average Based Quantitative Aptitude Questions and Answers
Question : 1
In a class, average height of all students is ‘a’ cms. Among them, average height of 10 students is ‘b’ cms and the average height of the remaining students is ‘c’ cms. Find the number of students in the class. (Here a > c and b > c )
a) $(a(b-c))/(a-c)$
b) $(b-c)/(a-c)$
c) $(b-c)/\text"10(a-c)"$
d) $\text"10(b-c)"/(a-c)$
Answer »Answer: (d)
Let the total number of students in the class be n.
According to the question,
an = 10 × b + (n – 10) c
⇒ an = 10b + nc – 10c
⇒ an – cn = 10b – 10c
⇒ n (a – c) = 10 (b – c)
$⇒ n =\text"10 (b - c )"/ ( a - c )$
Question : 2
Average of n numbers is a. The first number is increased by 2, second one is increased by 4, the third one is increased by 8 and so on. The average of the new numbers is
a) $a+(2^(n-1)-1)/n$
b) $a+2(2^n-1)/n$
c) $a+2^(n-1)/n$
d) $a+(2^n-1)/n$
Answer »Answer: (b)
Sum of new numbers
= na + (2 + 4 + 8 + 16 ..... to n terms)
Now, S = 2 + 4 + 8 + 16 + ..... to n terms
Here, a = first term = 2
r = common ratio = $4/2$ = 2
It is a geometric series.
∴ S =${a({r^n} - 1)}/{r-1}$= ${2({2^n} - 1)}/{2-1}$
= 2 ($2^n$ –1)
∴ Required average
= ${na +2({2^n}-1)}/n$
a +${2({2^n}-1)}/n$
Question : 3
a, b, c, d, e, f, g are consecutive even numbers. j, k, l, m, n are consecutive odd numbers. The average of all the numbers is
a) $3(\text"a+n"/2)$
b) $(\text"l+d"/2)$
c) $\text"a+b+m+n"/4$
d) $\text"j+c+n+g"/4$
Answer »Answer: (b)
According to the question consecutive even numbers = a, b, c, d, e, f, g
Consecutive odd numbers = j, k, l, m, n
Consecutive even number = 2, 4, 6, 8, 10, 12, 14
$\text"2+4+6+8+10+12+14"/7=56/7=8$ middle term
Consecutive odd numbers 1, 3, 5, 7, 9
$\text"1+3+5+7+9"/5=25/5$ middle term
Same as in the above situation.
Average of a, b, c, d, e, f, g = d
Average of j, k, l, m, n, = l
∴ Required average = ${d+l}/2$
Question : 4
If average of 20 observations x1,x2, ....., x20 is y, then the average of x1 – 101, x2 – 101, x3 –101, ....., x20 –101 is
a) y-20
b) y-101
c) 20y
d) 101y
Answer »Answer: (b)
${X_1 + X_2 + X_3 + X_4 + ..... + X_20}/20 = Y$
$X_1 + X_2 + X_3 + X_4 + ..... + X_20 = 20Y$
$= {X_1 - 101 + X_2 - 101 + X_3 - 101 + X_4 - 101 + ..... + X_20 - 101}/20$
$= (X_1 + X_2 + X_3 + X_4 + ..... + X_20) - 20 x 101/20$
$\text"20Y - 20 x 101"/20$
= Y - 101
Question : 5
The average of x numbers is y and average of y numbers is x. Then the average of all the numbers taken together is
a) $\text"x+y"/\text"2xy"$
b) $\text"2xy"/\text"x+y"$
c) $(x^2+y^2)/\text"x+y"$
d) $\text"xy"/\text"x+y"$
Answer »Answer: (b)
Sum of x numbers = xy
Sum of y numbers = xy
∴ Required average = ${xy+xy}/{x+y}$ = ${2xy}/{x+y}$
Aliter : Using Rule 10,
Here, $n_1$ = x, $a_1$ = y
$n_2$ = y, $a_2$ = x
∴ Average = ${n_1a_1+n_2a_2}/{n_1+n_2}$
= ${xy+yx}/{x+y}$ = ${2xy}/{x+y}$
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
-
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 …
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »
IBPS Profit and Loss Questions Solved Problems with PDF
Most important Profit and Loss multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Average Aptitude Questions Answers solutions MCQ PDF
New Average multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Quantitative Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »