## 10. By using dot (•) patterns, which of the following numbers can be arranged in all the three ways namely a line, a triangle and a rectangl

Question

10. By using dot (•) patterns, which of the following numbers can be arranged in all the three ways namely a line, a triangle and a rectangle? (a) 9 b) 10 c) 11 d) 12

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2 weeks 2021-10-05T06:17:59+00:00 2 Answers 0 views 0

d ) 12

Explanation:

i. As line can have infinite number of dots, we will not take it in consideration here as it is possible with any no. of dots except a single dot.

ii. Now, triangle have 3 vertices and rectangle have 4, so the no. of dots required to be arranged in these form, needs to be the LCM of 3 and 4, which is 12.

iii. So, 12 is the answer.

HOPE THIS IS HELPFUL !!! : )

2. d. 12

### Explanation :

No. of sides in a line = 2

No. of sides in a triangle = 3

No. of sides in a rectangle = 4

So, the number which can be arranged in all three ways must be the LCM of the given numbers (2, 3, 4) = 12