Question : In a 500-metre race, the ratio of speeds of two runners P and Q is $3:5$. P has a start of 200 metres, then the distance between P and Q at the finish of the race is:

Option 1: P wins by 100 metres

Option 2: Both reach at the same time

Option 3: Q wins by 100 metres

Option 4: Q wins by 50 metres

Question : What is the length (in metres) of the longest rod that can be placed in a room which is 2 metre long, 2 metre broad, and 6 metre high?

Option 1: $8$

Option 2: $2\sqrt{11}$

Option 3: $3\sqrt{11}$

Option 4: $10$

Question : A rectangular lawn whose length is twice its breadth is extended by having four semi-circular portions on its sides. What is the total cost (in INR) of levelling the entire lawn at the rate of INR 100 per square metre, if the smaller side of the rectangular lawn is 12 m? (Take $\pi=3.14$)

Option 1: 85,320

Option 2: 78,650

Option 3: 86,540

Option 4: 97,625

Question : Directions: Sunita walks 45 metres towards the south, then turns right and walks another 45 metres. She then turns right and walks for 20 metres to reach point L. She then again turns to her right and walks for 45 metres. How far (in metres) is she from point L?

Option 1: 50 metres

Option 2: 45 metres

Option 3: 25 metres

Option 4: 60 metres

Question : The sides of a triangular park are 35 m, 53 m, and 66 m. The cost of levelling the park at the rate of INR 9.25 per m² is:

Option 1: INR 8,584

Option 2: INR 8,547

Option 3: INR 8,621

Option 4: INR 8,510