Thursday, Jun 8, 2023
English News
  • Hyderabad
  • Telangana
  • Andhra Pradesh
  • India
  • World
  • Entertainment
  • Science and Tech
  • Sport
  • Business
  • ...
    • NRI
    • View Point
    • cartoon
    • Columns
    • Reviews
    • Education Today
    • Property
    • Videos
    • Lifestyle
    • Rewind
E-Paper
  • NRI
  • View Point
  • cartoon
  • Columns
  • Reviews
  • Education Today
  • Property
  • Videos
  • Lifestyle
  • Rewind
Home | Education Today | Find The Average Of These Problems

Find the average of these problems

Hyderabad: This article is in continuation to the last article on arithmetic that will aid you in your preparation for government recruitment exams. Here are some examples along with solutions on the Average topic. Examples: 1. Find the average of first 15 whole numbers a) 7 b) 8 c) 9 d) 10 Solution: 0,1,2,…..14 Here […]

By Telangana Today
Published Date - 11:00 PM, Sun - 19 June 22
Find the average of these problems
Representational Image.
whatsapp facebook twitter telegram

Hyderabad: This article is in continuation to the last article on arithmetic that will aid you in your preparation for government recruitment exams. Here are some examples along with solutions on the Average topic.

Examples:

1. Find the average of first 15 whole numbers
a) 7 b) 8 c) 9 d) 10
Solution: 0,1,2,…..14
Here the gap is the same
(0 14 )/2 = 14/2 = 7
Note: If ‘0’ is one of the quantities of a given data, then that ‘0’ will also be included while calculating the average.

2. Find the average of 36, 28, 45, 63, 50
a) 40.4 b) 42.4 c) 44.4 d) 46.4
Solution:
Here the gap is not the same
Method 36 28 45 63 50/5 = 222/5
Average = 44.4
Shortcut:
Assume that average = 50
36 – 50 = 14
28 – 50 = -22
45 – 50 = -5
63 – 50 = 13
50 – 50 = 0
-14 – 22 – 5 13 0 = -28
50 – 28/5 = 50 – 5.6
= 44.4
Similarly, you can take any number:
Let us say the average = 40
36 – 40 = -4
28 – 40 = -12
45 – 40 = 5
63 – 40 = 23
50 – 40 = 10
-4 – 12 5 23 10 = 22
40 22/5 = 40 4.4
= 44.4

3. The average of ‘n’ numbers x1, x2…..xn is x- then the value of (xi – x) is
a) 0 b) n c) x- d) n

4. What is the average of all the multiples of 6 from 20 to 80?
a) 48 b) 50 c) 51 d) 52
Solution:
24, 30, …..78
Here, the gap is the same
24 78/2 = 102/2 = 51

5. a, b, c, d, e, f, g are consecutive even numbers. j, k, l, m, n are consecutive odd numbers. Then, the average of all the numbers is
a) (a b m n)/4 b) (f c n g)/4
c) 3 ( a n/2) d) l d/n
Solution: a, b, c, d, e, f, g
Average = d
j, k, l, m, n
Average = l
Average of all numbers = (d l)/2
Note: Here the gap is same. So the average is the middle number.

6. The average of five consecutive odd numbers is 27. What is the product of the first and the last number?
a) 621 b) 667 c) 713 d)725
Solution: 23 25 27 29 31
23 x 31= 713

7. The average of x and 1/x is M then find the average of x3 and 1/x^3
a) 7M3 – M/2 b) 8M3 – 6M/2
c) 8M3 – M/2 d) 7M3 – 6M/2
Solution:
(x 1/x)/ 2 = M
x 1/x = 2M
(x 1/x)3 = (2M)3
x3 1/x x 3x 1/x (x 1/x) = 8M3
x3 1/x x 3(2M) = 8M3x3 1/x3 = 8M3 – 6M
Average of x3 and 1/x3 = 8M3 – 6M/2
Shortcut method:
Choose any two numbers
Let us say 1, 1/1
Average of 1, 1 is 1 ( = M)
Average of 1^3, 1/1^3 is 1
From given options
From option 1, (7(1)3 – 1)/2 = 6/2 = 3
From option 2, (8 (1)3 – 6 (1))/ 2 = 2/2 = 1

8. The average of 5 consecutive integers starting with ‘m’ is n. What is the average of 6 consecutive integers starting with (m 2)?
a) 2n 5/2 b) (n 2) c) (n 3) d) 2n 9/2
Solution:
m, m 1, m 2, m 3, m 4
Average = n
m 2 = n =>; m = n – 2
m 2, m 3, m 4, m 5, m 6, m 7
average = 2m 9/2
(2(n-2) 9)/2 = 2n – 4 9/2 = 2n 5/2

9. If a,b,c and d are four consecutive numbers. If the sum of a and c is 124. What is the product of b and d?
a) 3906 b) 3968 c) 3782 d) 4032
Solution:
a b c d
a a 1 a 2 a 3
a a 2 = 124
a = 122/2 = 61
b × d
62 × 64 = 3968

To be continued..

By

  • Follow Us :
  • Tags
  • Arithmetic
  • average
  • examples
  • Recruitment exams

Related News

  • TSPSC to re-conduct exam for recruitment to AEE posts in May

    TSPSC to re-conduct exam for recruitment to AEE posts in May

  • TSPSC plans to hold exams in CBT mode

    TSPSC plans to hold exams in CBT mode

  • TSPSC to finalise various recruitment exam dates on Thursday

    TSPSC to finalise various recruitment exam dates on Thursday

  • TSPSC to announce fresh dates for cancelled, postponed exams in one week

    TSPSC to announce fresh dates for cancelled, postponed exams in one week

  • Sleep well to succeed in recruitment exams

    Sleep well to succeed in recruitment exams

  • Conclusion: Leaving a lasting impression on the examiner

    Conclusion: Leaving a lasting impression on the examiner

Latest News

  • Comic Con and Warner Bros host exclusive fan-first premiere of DC’s ‘The Flash’

    15 mins ago
  • Hyderabad: Conman posing as surgeon robs woman’s gold chain, mobile phone

    22 mins ago
  • GHMC comes up with concrete plan to address monsoon issues

    29 mins ago
  • Paddy procurement in Telangana crosses 58 lakh tonne mark

    31 mins ago
  • Telangana BC Commission appeals for socio economic survey

    34 mins ago
  • GITAM student creates own conversation bot, gets recognised by Harvard World Records

    35 mins ago
  • Karimnagar medical college gets MCI node

    39 mins ago
  • MLC Kavitha dares Opposition parties to prove BRS failures

    45 mins ago

company

  • Home
  • About Us
  • Contact Us

business

  • Subscribe

telangana today

  • Telangana
  • Hyderabad
  • Latest News
  • Entertainment
  • World
  • Andhra Pradesh
  • Science & Tech
  • Sport

follow us

© Copyrights 2022 TELANGANA PUBLICATIONS PVT. LTD. All rights reserved. Powered by Veegam