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Which number is both a square and a triangular number?
- a)16
- b)25
- c)36
- d)49
Correct answer is option 'C'. Can you explain this answer?
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Which number is both a square and a triangular number?a)16b)25c)36d)49...
Understanding Square Numbers
Square numbers are the product of an integer multiplied by itself. The first few square numbers are:
- 1 (1x1)
- 4 (2x2)
- 9 (3x3)
- 16 (4x4)
- 25 (5x5)
- 36 (6x6)
- 49 (7x7)
Understanding Triangular Numbers
Triangular numbers represent objects arranged in a triangle. The nth triangular number is the sum of the first n natural numbers. The first few triangular numbers are:
- 1 (1)
- 3 (1+2)
- 6 (1+2+3)
- 10 (1+2+3+4)
- 15 (1+2+3+4+5)
- 21 (1+2+3+4+5+6)
- 28 (1+2+3+4+5+6+7)
- 36 (1+2+3+4+5+6+7+8)
Finding Common Numbers
To find numbers that are both square and triangular, we can look for overlaps between the two lists:
- From square numbers: 1, 4, 9, 16, 25, 36, 49
- From triangular numbers: 1, 3, 6, 10, 15, 21, 28, 36
Identifying the Answer
The only number that appears in both lists is:
- 36
Thus, the correct answer to the question is option 'C', which is 36.
Conclusion
In conclusion, 36 is the only number among the options given that is both a square number (6x6) and a triangular number (1+2+3+4+5+6+7+8). This unique property makes it a fascinating number in mathematics!
Square numbers are the product of an integer multiplied by itself. The first few square numbers are:
- 1 (1x1)
- 4 (2x2)
- 9 (3x3)
- 16 (4x4)
- 25 (5x5)
- 36 (6x6)
- 49 (7x7)
Understanding Triangular Numbers
Triangular numbers represent objects arranged in a triangle. The nth triangular number is the sum of the first n natural numbers. The first few triangular numbers are:
- 1 (1)
- 3 (1+2)
- 6 (1+2+3)
- 10 (1+2+3+4)
- 15 (1+2+3+4+5)
- 21 (1+2+3+4+5+6)
- 28 (1+2+3+4+5+6+7)
- 36 (1+2+3+4+5+6+7+8)
Finding Common Numbers
To find numbers that are both square and triangular, we can look for overlaps between the two lists:
- From square numbers: 1, 4, 9, 16, 25, 36, 49
- From triangular numbers: 1, 3, 6, 10, 15, 21, 28, 36
Identifying the Answer
The only number that appears in both lists is:
- 36
Thus, the correct answer to the question is option 'C', which is 36.
Conclusion
In conclusion, 36 is the only number among the options given that is both a square number (6x6) and a triangular number (1+2+3+4+5+6+7+8). This unique property makes it a fascinating number in mathematics!
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Which number is both a square and a triangular number?a)16b)25c)36d)49...
36 is both a square number (6x6) and a triangular number, making it unique in this context.
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Which number is both a square and a triangular number?a)16b)25c)36d)49Correct answer is option 'C'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Which number is both a square and a triangular number?a)16b)25c)36d)49Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which number is both a square and a triangular number?a)16b)25c)36d)49Correct answer is option 'C'. Can you explain this answer?.
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