model 2 average of consecutive numbers 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

average Important Formulas, Rules, Concepts & Shortcuts

Question : 6 [SSC CHSL 2013]

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

a) increase by 1

b) increase by 1.5

c) remain the same

d) increase by 2

Shortcut »

Answer: (a)

Fifth number = n

Tenth number = n + 5

Eleventh number = n + 6

New average = ${9n+n+5+n+6}/11$

= ${11n+11}/11$ = ${(n+1) ×11}/11$ = n+1

Question : 7 [SSC CGL Tier-II 2013]

If the average of 6 consecutive even numbers is 25, the difference between the largest and the smallest number is

a) 14

b) 12

c) 10

d) 8

Shortcut »

Answer: (c)

Numbers = x, x + 2, ...., x + 10 Required difference

= x + 10 – x = 10

Question : 8 [SSC CISF ASI 2010]

The arithmetic mean (average) of the first 10 whole numbers is

a) 4.5

b) 5.5

c) 4

d) 5

Shortcut »

Answer: (a)

Using Rule 1,

Average of numbers = ${x_1+x_2+…+x_n}/n$

Required average

= ${0+1+2+3+…+9}/10$

${9× (9+1)}/{2×10}$ = 4.5

Question : 9 [SSC CHSL 2015]

The average of all the odd integers between 2 and 22 is:

a) 11

b) 13

c) 12

d) 14

Shortcut »

Answer: (c)

Required average

= ${3+5+7+9+11+13+15+17+19+21}/10$

= $120/10$ = 12

Question : 10 [SSC Multi-Tasking Staff 2013]

Average of first five prime numbers is

a) 3.6

b) 5

c) 5.6

d) 5.3

Shortcut »

Answer: (c)

Required average

= ${2+3+5+7+11}/5$

= $28/5$ = 5.6

IMPORTANT quantitative aptitude EXERCISES

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