Question

Which one of the following numbers can be represented as a line, a rectangle and a triangle using dots?

A
12
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B
8
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C
15
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D
16
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Solution

The correct option is C 15 Every counting number can be represented as a line using dots 1 + 2 + 3 + 4 + 5 = 15. So, 15 is a triangular number and hence it can be represented as a triangle using dots. . . . . . . . . . . . . . . . Also, 3 x 5 = 15. So, 15 can also be represented as a rectangle with 3 rows and 5 columns or vice versa. . . . . . . . . . . . . . . . So, among the given options, 15 can be represented as a line, rectangle and triangle using dots. Option ‘c’ is the correct option.

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