# DBT JRF 2022 — Question 46

Exam: DBT JRF 2022 · Section: A · Topic: Aptitude › Spatial Reasoning - Triangles · Difficulty: Medium

## Question

Find the number of triangles in the given figure: ![figure](https://res.cloudinary.com/dxil5euku/image/upload/v1779453117/pyq/6a104cb5920734408bc0c6d8/DBTJRF22-IMGA46.png)

## Options

- **A.** 12
- **B.** 13
- **C.** 14
- **D.** 15

## Answer

Option D

## Explanation

Counting triangles in the figure ![figure](https://res.cloudinary.com/dxil5euku/image/upload/v1779453117/pyq/6a104cb5920734408bc0c6d8/DBTJRF22-IMGA46.png) : Systematically count all triangles: • Individual (smallest) triangles: count directly • Composite triangles made of 2, 3, 4, or more smaller triangles • Both pointing-up and pointing-down triangles must be counted The total count of all triangles (individual + composite) in the given figure is 15. Method tip: Label all vertices/regions alphabetically, then list all combinations that form valid triangles. Answer: 15 triangles (Option 4).

Source: https://mypyqbuddy.com/questions/find-the-number-of-triangles-in-the-given-6a104cd5920734408bc0c70b