What is the sum of six consecutive odd numbers to form $216$ ?

31 + 33 + 35 + 17 + 39 + 41

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31 + 33 + 35 + 19 + 39 + 41

No worries! We‘ve got your back. Try BYJU‘S free classes today!

31 + 33 + 35 + 27 + 39 + 41

No worries! We‘ve got your back. Try BYJU‘S free classes today!

31 + 33 + 35 + 37 + 39 + 41

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Solution

The correct option is C $31 + 33 + 35 + 37 + 39 + 41$
Given number $216$ is the cube of $6$ , i.e. $6^{3} = 216$ .

We know,
$1 = 1 = 1^{3}$ ,
$3 + 5 = 8 = 2^{3}$ ,
$7 + 9 + 11 = 27 = 3^{3}$ ,
$13 + 15 + 17 + 19 = 64 = 4^{3}$ ,
$21 + 23 + 25 + 27 + 29 = 125 = 5^{3}$ ,
$31 + 33 + 35 + 37 + 39 + 41 = 216 = 6^{3}$ .

$∴$ The sum of six consecutive odd numbers are to form $216$ is $31 + 33 + 35 + 37 + 39 + 41 = 216$ .

Hence, option $D$ 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. Consider the following marks (out of

50

) scored in mathematics by

50

students of

8 t h

class:

41, 31, 33, 32, 28, 31, 21, 10, 30, 22, 33, 37, 12, 05, 08, 15, 39, 26, 41, 46, 34, 22, 09

11, 16, 22, 25, 29, 31, 39, 23, 31, 21, 45, 47, 30, 22, 17, 36, 18, 20, 22, 44, 16, 24, 10, 27, 39, 28, 17

.
Prepare a frequency distribution table

Q. Prepare a frequency table of the following scores obtained by 50 students in a test:

42	51	21	42	37	37	42	49	38	52
7	33	17	44	39	7	14	27	39	42
42	62	37	39	67	51	53	53	59	41
29	38	27	31	54	19	53	51	22	61
42	39	59	47	33	34	16	37	57	43

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

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42	51	21	42	37	37	42	49	38	52
7	33	17	44	39	7	14	27	39	42
42	62	37	39	67	51	53	53	59	41
29	38	27	31	54	19	53	51	22	61
42	39	59	47	33	34	16	37	57	43

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

42	51	21	42	37	37	42	49	38	52
7	33	17	44	39	7	14	27	39	42
42	62	37	39	67	51	53	53	59	41
29	38	27	31	54	19	53	51	22	61
42	39	59	47	33	34	16	37	57	43

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

What is the sum of six consecutive odd numbers to form 216?

What is the sum of six consecutive odd numbers to form $216$ ?

42	51	21	42	37	37	42	49	38	52
7	33	17	44	39	7	14	27	39	42
42	62	37	39	67	51	53	53	59	41
29	38	27	31	54	19	53	51	22	61
42	39	59	47	33	34	16	37	57	43

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