Question : A rectangular park, 60 metres long and 40 metres wide, has two concrete crossroads running in the middle of the park, and the rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. metres, then the width of the road is:
Option 1: 3 metres
Option 2: 5 metres
Option 3: 6 metres
Option 4: 2 metres
Latest: SSC CGL 2024 final Result Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 3 metres
Solution : Given: A rectangular park, 60 meters long and 40 metres wide. Area of the park = (60 × 40) = 2400 sq. metres Area of the lawn = 2109 sq. metres So, the area of the crossroads = (2400 – 2109) = 291 sq. metres Let the width of the road be $x$ metres. Then, $60x + 40x - x^2 = 291$ ⇒ $x^2 - 100x + 291 = 0$ ⇒ $(x - 97) (x -3) = 0$ $\therefore x = 3$ $x$ cannot be 97 because the width of the road cannot be larger than the length and breadth. Hence, the correct answer is 3 metres.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at a speed of 12 km/hr completes one round in 8 minutes, then the area of the park is:
Option 1: 1,53,650 sq. metres
Option 2: 1,35,600 sq. metres
Option 3: 1,53,600 sq. metres
Option 4: 1,56,300 sq. metres
Question : A lawn is in the form of a rectangle having its breadth and length in the ratio $3:4$. The area of the lawn is $\frac{1}{12}$ hectare. The breadth of the lawn is:
Option 1: 25 metres
Option 2: 50 metres
Option 3: 75 metres
Option 4: 100 metres
Question : The total surface area of a hemisphere is 41.58 sq. cm. Find its curved surface area.
Option 1: 27.72 sq. cm.
Option 2: 55.44 sq. cm.
Option 3: 9.24 sq. cm.
Option 4: 13.86 sq. cm.
Question : Direction: A man takes 6 kms distance to go around the rectangular area. If the area of the rectangle is 2 sq. km. Find the difference between length and breadth.
Option 1: 2 km
Option 2: 0.5 km
Option 3: 1 km
Option 4: 0.75 km
Question : The length and breadth of a rectangular piece of land are in a ratio of 5 : 3. The owner spent Rs. 6,000 to surround it from all sides at Rs. 7.50 per metre. The difference between its length and breadth is:
Option 1: 50 metres
Option 2: 100 metres
Option 3: 150 metres
Option 4: 250 metres
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile