Harmonic Progressions Questions and Answers

Harmonic Progression Questions and Answers in Aptitude

A Harmonic progression is a kind of sequence of real numbers made after procuring the reciprocal of the arithmetic progression. Consistently, it is also a classification of real numbers in a way that any term in the order is the harmonic mean of its two fellow numbers. Harmonic Progression Questions and Answers is very important to Know . Furthermore, if the converse of a sequence follows the rule of an arithmetic progression, then it is known as the harmonic progression. It basically means that if a, a+d, a+2d, and so on is an A.P. then \frac{1}{a}, \frac{1}{(a+d)}, \frac{1}{(a+2d)}, and so on is known as H.P.

There are Many Applications of Harmonic Progression. In this Page Harmonic progression Questions is given for your Practices.

Calendar Questions and Answers

Question 1

Time: 00:00:00
Find the 6th and 9th term of the series 6, 4, 3, …

\frac{12}{5}, \frac{4}{3}

\frac{12}{5}, \frac{4}{3}

\frac{8}{5},\frac{7}{11}

\frac{8}{5},\frac{7}{11}

\frac{4}{3},\frac{12}{7}

\frac{4}{3},\frac{12}{7}

\frac{12}{7},\frac{6}{5}

\frac{12}{7},\frac{6}{5}

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Question 2

Time: 00:00:00
Find the harmonic mean of 2, 4, and 6

0.45

0.45

1.34

1.34

4.12

4.12

3.27

3.27

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Question 3

Time: 00:00:00
Given the following frequency distribution of second year students of a particular college, calculate the harmonic mean.



















Age (Years) 15 16 17 18 19
Number Of Students 3 7 13 2 5

18

18

19

19

17

17

16

16

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Question 4

Time: 00:00:00
Calculate the harmonic mean for the data given below:























Marks 30-39 40-49 50-59 60-69 70-79 80-89 90-99
F 7 25 32 20 11 3 2

 

54

54

64

64

74

74

44

44

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Question 5

Time: 00:00:00
If x, y, z are in h.p, then y is connected with x and z as :

2\times\frac{1}{y} = \frac{1}{x} + \frac{1}{z}

2\times\frac{1}{y} = \frac{1}{x} + \frac{1}{z}

2 \times\frac{1}{z} = \frac{1}{y} + \frac{1}{z}

2 \times\frac{1}{z} = \frac{1}{y} + \frac{1}{z}

2 \times\frac{1}{x} = \frac{1}{x} + \frac{1}{y}

2 \times\frac{1}{x} = \frac{1}{x} + \frac{1}{y}

None of the mentioned

None of the mentioned

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Question 6

Time: 00:00:00
For 2 number X.Y, Harmonic Mean among them will be?

\frac{2y +2x}{3y}

\frac{2y +2x}{3y}

\frac{2xy}{x+y}

\frac{2xy}{x+y}

\frac{(x+y)}{2xy}

\frac{(x+y)}{2xy}

\frac{2y}{(x+y)}

\frac{2y}{(x+y)}

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Question 7

Time: 00:00:00
From the given data 5, 10,17,24,30 calculate H.M.

12.123

12.123

11.526

11.526

10.324

10.324

11.932

11.932

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Question 8

Time: 00:00:00
If the sum of reciprocals of first 9 terms of an HP series is 81, find the 5th term of HP.

10

10

9

9

\frac{1}{9}

\frac{1}{9}

\frac{1}{8}

\frac{1}{8}

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Question 9

Time: 00:00:00
The 3rd term of an HP is 5 and the 6th term is 8. Find the maximum possible number of terms in H.P.

12

12

9

9

10

10

13

13

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Question 10

Time: 00:00:00
Find maximum partial sum of harmonic progression, if second and third terms are \frac{1}{13} and \frac{1}{10} respectively.

1.23

1.23

1.63

1.63

1.25

1.25

1.09

1.09

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Question 11

Time: 00:00:00
The sixth term of H.P. is \frac{9}{106} and seventh term is \frac{9}{122}. Find the sum of its second and fifth term.

\frac{513}{3233}

\frac{513}{3233}

\frac{11}{35}

\frac{11}{35}

\frac{81}{63}

\frac{81}{63}

\frac{897}{41}

\frac{897}{41}

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Question 12

Time: 00:00:00
x , y ,z are said to be in harmonic progression if the reciprocals \frac{1}{x},\frac{1}{y},\frac{1}{z} are in a.p. find out the value of A for which 13,a,16 are in harmonic progression

12.23

12.23

13.66

13.66

14.34

14.34

15.78

15.78

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Question 13

Time: 00:00:00
A.M and G.M of two numbers is 13 and 12 respectively then H.M is _____