Target Exam

CUET

Subject

General Test

Chapter

Logical and Analytical Reasoning

Topic

Counting of Figures

Question:

How many triangles are there in the figure ?

Options:

11

12

13

14

Correct Answer:

13

Explanation:

Here

When n is odd:

No. of triangles = \(\frac{n\;(n\;+\;2)(2n\;+\;1)\;-\;1}{8}\)

                       = \(\frac{3\;(3\;+\;2)(6\;+\;1)\;-\;1}{8}\)

                       = \(\frac{105\;-\;1}{8}\) = 13