model 2 average of consecutive numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 9 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on average topic of quantitative aptitude

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

(a) 4.5

(b) 5.5

(c) 4

(d) 5

The correct answers to the above question in:

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

Practice average (model 2 average of consecutive numbers) Online Quiz

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Read more consecutive numbers Based Quantitative Aptitude Questions and Answers

Question : 1

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

a) 11

b) 13

c) 12

d) 14

Answer: (c)

Required average

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

= $120/10$ = 12

Question : 2

Average of first five prime numbers is

a) 3.6

b) 5

c) 5.6

d) 5.3

Answer: (c)

Required average

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

= $28/5$ = 5.6

Question : 3

What is the average of the first six (positive) odd numbers each of which is divisible by 7?

a) 49

b) 47

c) 43

d) 42

Answer: (d)

Required average

= ${7+21+35+49+63+77}/6$

= ${7(1+3+5+7+9+11)}/6$

= ${7×36}/6$ = 42

Question : 4

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

Answer: (c)

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

= x + 10 – x = 10

Question : 5

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

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 : 6

The average of four consecutive even numbers is 9. Find the largest number.

a) 10

b) 8

c) 6

d) 12

Answer: (d)

x + x + 2 + x + 4 + x + 6 = 9 × 4

⇒ 4x + 12 = 36

⇒ 4x = 36 – 12 = 24

∴ x = $24/4$ = 6

∴ Largest number = 6 + 6 = 12

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