Quants Questions for CLAT | QB Set 18

A town council has decided to renovate Greenwood Community Park by creating different activity zones. The main park is rectangular and measures 120 metres in length and 80 metres in width. A 2-metre-wide walking track is planned along the inside boundary of the park. In the centre of the park, a square children’s play area with a side of 30 metres will be developed. Next to it, a rectangular flower garden measuring 24 metres by 18 metres will be fenced. The remaining open space will be covered with grass. The outer boundary of the park will also be enclosed with a decorative fence. The council estimates construction costs based on the length of fencing required and the total area that needs paving, gardening, and grassing. Before approving the final budget, the engineers prepare different calculations involving the area and perimeter of the various sections of the park. The council members carefully examine these measurements to ensure that sufficient materials are purchased and that the project remains within budget while providing adequate recreational facilities for visitors.

Questions

Q1. What is the perimeter of the entire rectangular park?

A. 400 m

B. 360 m

C. 440 m

D. 480 m

Q2. What is the area of the square children’s play area?

A. 600 m²

B. 750 m²

C. 840 m²

D. 900 m²

Q3. What is the perimeter of the rectangular flower garden?

A. 76 m

B. 84 m

C. 90 m

D. 96 m

Q4. What is the area of the 2-metre-wide walking track inside the park?

A. 720 m²

B. 760 m²

C. 784 m²

D. 800 m²

Q5. What is the remaining grassy area after excluding the walking track, square play area, and flower garden?

A. 6,484 m²

B. 6,384 m²

C. 6,284 m²

D. 6,584 m²

Answers with Detailed Explanations

Q1. Correct Answer: A. 400 m

The park is a rectangle.

Perimeter = 2 × (Length + Width)

= 2 × (120 + 80)

= 2 × 200

= 400 metres

Answer: A

Q2. Correct Answer: D. 900 m²

The play area is a square.

Area = Side²

= 30 × 30

= 900 m²

Answer: D

Q3. Correct Answer: B. 84 m

The flower garden is a rectangle.

Perimeter = 2 × (24 + 18)

= 2 × 42

= 84 metres

Answer: B

Q4. Correct Answer: C. 784 m²

Outer park area

= 120 × 80

= 9,600 m²

The walking track is 2 m wide inside all four sides.

Inner rectangle dimensions:

Length = 120 − 4 = 116 m

Width = 80 − 4 = 76 m

Inner area

= 116 × 76

= 8,816 m²

Walking track area

= 9,600 − 8,816

= 784 m²

Answer: C

Q5. Correct Answer: A. 6,484 m²

Total park area

= 120 × 80

= 9,600 m²

Subtract walking track area

= 9,600 − 784

= 8,816 m²

Subtract play area

= 8,816 − 900

= 7,916 m²

Flower garden area

= 24 × 18

= 432 m²

Remaining grassy area

= 7,916 − 432

= 6,484 m²

Answer: A