model 1 basic average questions Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6 [S.S.C. (CHSL) 2011]

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: (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 : 7 [S.S.C. (CHSL) 2013]

The average of nine consecutive numbers is n. If the next two numbers are also included the new average w

a) increase by 2

b) remain the same

c) increase by 1.5

d) increase by 1

Answer: (d)

Given,

$\text"(a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 + a + 6 + a + 7 + a + 8)"/9 = n$

$=> \text"(9a + 36)"/9 = n$

=> a + 4 = n -------------------- ( 1 )

If the next 2 numbers are included , let new average = k

$\text"(a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 + a + 6 + a + 7 + a + 8 + a + 9 + a + 10)"/11 = k$

$\text"(11a + 55)"/11 = k$

a + 5 = k -------------------- ( 2 )

Subtracting ( 1 ) from ( 2 ) , we get :

a + 5 - a - 4 = k - n

=> k - n = 1

=> k = n + 1

Therefore the new average is n + 1

Question : 8 [S.S.C. (CGL) 2012]

The average of 5 consecutive integers starting with ‘m’ is n. What is the average of 6 consecutive integers starting with (m + 2) ?

a) $\text"2n+5"/2$

b) $n+2$

c) $n+3$

d) $\text"2n+9"/2$

Answer: (a)

According to the question let m = 1

∴ 5 consecutive integers are = 1,2,3,4,5

$\text"1+2+3+4+5"/5=n$

$n = 15/5=3$

6 consecutive integers starting with (m + 2) are = 3,4,5,6,7,8

∴$\text"3+4+5+6+7+8"/6=33/6=11/2$

Now check from option to put n = 3

While in Option :(a) $\text"2n+5"/2 = 11/2 $

Question : 9 [S.S.C. (CGL) 2013]

If a, b, c, d, e are five consecutive odd numbers, their average is

a) $5(a+4)$

b) $\text"abcde"/5$

c) $5(a+b+c+d+e)$

d) $a+4$

Answer: (d) 

Question : 10

The average monthly income (in ₨) of certain agricultural workers is S and that of other workers is T. The number of agricultural workers is 11 times that of other workers. Then, the average monthly income (in ₨) of all the workers is :

a) $\text"S+11T"/12$

b) $\text"S+T"/12$

c) $\text"11S+T"/12$

d) $1/\text"11S"+T$

Answer: (c)

IMPORTANT quantitative aptitude EXERCISES

model 1 basic average questions Shortcuts »

Click to Read...

model 1 basic average questions Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

Classification Reasoning MCQ For IBPS Clerk Prelims 2024

Most Important 100+ Classification based Verbal Reasoning Ability Multiple choice questions and answers PDF, Free New Mock tests For IBPS Clerk Prelims 2024

03-May-2024 by Careericons

Continue Reading »

Ratio and Proportion Questions with Solutions, IBPS Clerk

New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam

02-May-2024 by Careericons

Continue Reading »

Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024

Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024

01-May-2024 by Careericons

Continue Reading »

SSC STENO: Mensuration Area & Volume Questions Test PDF

Free Mensuration Area and Volume Aptitude-based Practice multiple questions with solutions, Quiz, Full Mock Test & PDF for SSC Steno (Grade C & D) 2024 Exam

30-Apr-2024 by Careericons

Continue Reading »