Mathematics Questions and Answers – Patterns in Cubes

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Patterns in Cubes”.

1. Express 23 as sum of consecutive odd numbers?
a) 1 + 3
b) 3 + 5
c) 5 + 7
d) 7 + 9
View Answer

Answer: b
Explanation: Adding consecutive odd numbers gives us cube of a number. For example, 3 + 5 = 8 which is 23. It is an interesting pattern where sum of consecutive odd numbers gives us cube of a number.
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2. Express 125 as sum of consecutive numbers?
a) 21+23+25+27+29
b) 23+25+27+29+31
c) 19+21+23+25+27
d) 17+19+21+23+25
View Answer

Answer: a
Explanation: Adding consecutive odd numbers gives us cube of a number. 53 gives us 125.
21+23+25+27+29 = 125. Sum of other options doesn’t give us 125.

3. Express 343 as sum of consecutive numbers?
a) 47+49+51+53+55+57+59
b) 41+43+45+47+49+51+53
c) 43+45+47+49+51+53+55
d) 45+47+49+51+53+55+57
View Answer

Answer: c
Explanation: Adding consecutive odd numbers gives us cube of a number. 73 gives us 343.
43+45+47+49+51+53+55 = 343. Sum of other options doesn’t give us 343.
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4. Find the cube of 4.
a) 64
b) 81
c) 111
d) 1331
View Answer

Answer: a
Explanation: To find cube of 4, we need to find 43. We can find cube of number by adding consecutive odd numbers.
Therefore, 43 = 13 + 15 + 17 + 19
Therefore, 43 = 64.

5. Calculate 33.
a) 64
b) 81
c) 111
d) 27
View Answer

Answer: d
Explanation: To find cube of 3, we need to find 33. We can find cube of number by adding consecutive odd numbers.
Therefore, 33 = 7 + 9 + 11
Therefore, 33 = 27.
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6. Evaluate 43– 33 = _____
a) 39
b) 38
c) 37
d) 36
View Answer

Answer: c
Explanation: 43-33=1+4*3*3
Therefore, 43-33=37. The difference between cube of consecutive numbers can be found using the above pattern.

7. Evaluate 203-193=_____
a) 1141
b) 1142
c) 1143
d) 1144
View Answer

Answer: a
Explanation: 203-193=1+20*19*3
Therefore, 203-193=1141. The difference between cube of consecutive numbers can be found using the above pattern.
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8. Evaluate 123-113=_____
a) 939
b) 389
c) 397
d) 396
View Answer

Answer: c
Explanation: 123-113=1+12*11*3
Therefore, 123-113=397. The difference between cube of consecutive numbers can be found using the above pattern.

9. Evaluate 573-563=_____
a) 18890
b) 98818
c) 18900
d) 18818
View Answer

Answer: d
Explanation: 573-563=1+57*56*3
Therefore, 573-563=18818. The difference between cube of consecutive numbers can be found using the above pattern.
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10. Evaluate 143-133 = _____
a) 547
b) 389
c) 559
d) 556
View Answer

Answer: a
Explanation: 143-133=1+14*13*3
Therefore, 143-133=547. The difference between cube of consecutive numbers can be found using the above pattern.

Sanfoundry Global Education & Learning Series – Mathematics – Class 8.

To practice all areas of Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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