# DBT JRF 2022 — Question 15

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

## Question

How many rectangles are there in the diagram? ![figure](https://res.cloudinary.com/dxil5euku/image/upload/v1779453114/pyq/6a104cb5920734408bc0c6d8/DBTJRF22-IMGA15.png)

## Options

- **A.** 8
- **B.** 9
- **C.** 10
- **D.** 12

## Answer

Option D

## Explanation

Counting rectangles in a grid (geometric reasoning): For a grid with m horizontal lines and n vertical lines: Number of rectangles = $\binom{m}{2} \times \binom{n}{2}$ For the given figure with the appropriate number of horizontal and vertical lines, systematically counting all rectangles (including squares and composite rectangles) yields 12. Method: Choose any 2 horizontal lines and any 2 vertical lines; each combination defines exactly one rectangle. Answer: 12 rectangles (Option 4).

Source: https://mypyqbuddy.com/questions/how-many-rectangles-are-there-in-the-diagram-6a104cd5920734408bc0c6ec