Express the sum of odd consecutive cube number for $6^{3}$ .

31 + 33 + 35 + 35 + 39 + 41

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21 + 23 + 35 + 39 + 39 + 41

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31 + 33 + 35 + 37 + 39 + 41

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31 + 33 + 35 + 37 + 39 + 43

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Solution

The correct option is C $31 + 33 + 35 + 37 + 39 + 41$
We know,
$1 = 1 = 1^{3}$ ,
$3 + 5 = 8 = 2^{3}$ ,
$7 + 9 + 11 = 27 = 3^{3}$ ,
$13 + 15 + 17 + 19 = 64 = 4^{3}$ ,
$21 + 23 + 25 + 27 + 29 = 125 = 5^{3}$ ,
$31 + 33 + 35 + 37 + 39 + 41 = 216 = 6^{3}$ .
Therefore, the sum of odd consecutive cube number for $6^{3} = 216$ must be $31 + 33 + 35 + 37 + 39 + 41$ .
Hence, option $C$ is correct.

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Similar questions

Question 95(i)

The weights (in kg) of 30 students of a class are as follows :
39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,
31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26
Prepare a frequency distribution table using one class interval as (30-35), 35 not included.
(i) Which class has the least frequency ?

Q. Find the prime numbers from the following.

30, 31, 32, 33, 34, 35, 36, 37, 38, 39.

Q. Study the following table and answer the questions that follow.

\begin{matrix} S u b j e c t s A n i l & I & I I & I I I & I V & V M a t h s & 42 & 32 & 47 & 22 & 37 D I & 32 & 42 & 27 & 32 & 22 V A & 37 & 27 & 17 & 32 & 42 R e a s o n i n g & 47 & 49 & 34 & 41 & 39 E n g l i s h & 26 & 30 & 38 & 41 & 45 B a r u n M a t h s & 32 & 22 & 37 & 47 & 42 D I & 27 & 47 & 32 & 39 & 30 V A & 35 & 29 & 42 & 36 & 28 R e a s o n i n g & 44 & 45 & 42 & 45 & 47 E n g l i s h & 32 & 30 & 39 & 36 & 33 C h a m a n M a t h s & 33 & 34 & 37 & 44 & 39 D I & 44 & 42 & 35 & 42 & 38 V A & 36 & 43 & 42 & 40 & 39 R e a s o n i n g & 26 & 37 & 46 & 34 & 35 E n g l i s h & 27 & 29 & 35 & 35 & 43 D h a n n u M a t h s & 29 & 36 & 37 & 42 & 43 D I & 33 & 39 & 37 & 29 & 31 V A & 44 & 45 & 39 & 49 & 45 R e a s o n i n g & 31 & 36 & 48 & 43 & 43 E n g l i s h & 35 & 38 & 36 & 41 & 45 E l l a M a t h s & 35 & 34 & 43 & 45 & 46 D I & 47 & 33 & 44 & 39 & 47 V A & 47 & 44 & 39 & 43 & 42 R e a s o n i n g & 39 & 37 & 36 & 42 & 43 E n g l i s h & 32 & 33 & 38 & 41 & 44 \end{matrix}

What was the total of the marks of Anil in V A in all the concise tests?

Q. Prepare a frequency table taking class intervals 20−24, 25−29, 30−34 and so on, from the following data:

21	20	55	39	48	46	36	54	42	30
29	42	32	40	34	31	35	37	52	44
39	45	37	33	51	53	52	46	43	47
41	26	52	48	25	34	37	33	36	27
54	36	41	33	23	39	28	44	45	38

Q. Study the following table and answer the questions given below that.

\begin{matrix} S u b j e c t s A n i l & I & I I & I I I & I V & V M a t h s & 42 & 32 & 47 & 22 & 37 D I & 32 & 42 & 27 & 32 & 22 V A & 37 & 27 & 17 & 32 & 42 R e a s o n i n g & 47 & 49 & 34 & 41 & 39 E n g l i s h & 26 & 30 & 38 & 41 & 45 B a r u n M a t h s & 32 & 22 & 37 & 47 & 42 D I & 27 & 47 & 32 & 39 & 30 V A & 35 & 29 & 42 & 36 & 28 R e a s o n i n g & 44 & 45 & 42 & 45 & 47 E n g l i s h & 32 & 30 & 39 & 36 & 33 C h a m a n M a t h s & 33 & 34 & 37 & 44 & 39 D I & 44 & 42 & 35 & 42 & 38 V A & 36 & 43 & 42 & 40 & 39 R e a s o n i n g & 26 & 37 & 46 & 34 & 35 E n g l i s h & 27 & 29 & 35 & 35 & 43 D h a n n u M a t h s & 29 & 36 & 37 & 42 & 43 D I & 33 & 39 & 37 & 29 & 31 V A & 44 & 45 & 39 & 49 & 45 R e a s o n i n g & 31 & 36 & 48 & 43 & 43 E n g l i s h & 35 & 38 & 36 & 41 & 45 E l l a M a t h s & 35 & 34 & 43 & 45 & 46 D I & 47 & 33 & 44 & 39 & 47 V A & 47 & 44 & 39 & 43 & 42 R e a s o n i n g & 39 & 37 & 36 & 42 & 43 E n g l i s h & 32 & 33 & 38 & 41 & 44 \end{matrix}

In which of the following concise tests did Ella obtain the highest percentage of marks in Maths?

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21	20	55	39	48	46	36	54	42	30
29	42	32	40	34	31	35	37	52	44
39	45	37	33	51	53	52	46	43	47
41	26	52	48	25	34	37	33	36	27
54	36	41	33	23	39	28	44	45	38

21	20	55	39	48	46	36	54	42	30
29	42	32	40	34	31	35	37	52	44
39	45	37	33	51	53	52	46	43	47
41	26	52	48	25	34	37	33	36	27
54	36	41	33	23	39	28	44	45	38

Express the sum of odd consecutive cube number for 63.

The correct option is C 31+33+35+37+39+41We know,1=1=13,3+5=8=23,7+9+11=27=33,13+15+17+19=64=43,21+23+25+27+29=125=53,31+33+35+37+39+41=216=63.Therefore, the sum of odd consecutive cube number for 63=216 must be 31+33+35+37+39+41.Hence, option C is correct.

Express the sum of odd consecutive cube number for $6^{3}$ .

21	20	55	39	48	46	36	54	42	30
29	42	32	40	34	31	35	37	52	44
39	45	37	33	51	53	52	46	43	47
41	26	52	48	25	34	37	33	36	27
54	36	41	33	23	39	28	44	45	38