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 : A gives B a head-start of 10 seconds in a 1500 m race and both finish the race at the same time. What is the time A takes (in minutes) to finish the race if the speed of B is 6 m/s?

Option 1: 3

Option 2: 4

Option 3: 8

Option 4: 5

Question : Directions: From point D, Sarita walks 50 metres to the north, then, after turning to the right, walks 50 metres. She again turned right and walked another 70 metres, and finally turned right and walked 50 metres. In which direction and at what distance is she from the starting point D?

Option 1: 20 metres to the North

Option 2: 40 metres to the South

Option 3: 20 metres to the south

Option 4: 30 metres to the south

Question : The outer circumference of the circular race track is 528 metres. The track is everywhere 14 metres wide. The cost of levelling the track at the rate of Rs. 10 per sq. metre is:

Option 1: Rs. 77,660

Option 2: Rs. 66,760

Option 3: Rs. 76,760

Option 4: Rs. 67,760

Question : A person observes that the angle of elevation at the top of a pole of height 5 metres is 30°. Then the distance of the person from the pole is:

Option 1: $5\sqrt3$ metres

Option 2: $\frac{5}{\sqrt3}$ metres

Option 3: $\sqrt3$ metres

Option 4: $10\sqrt3$ metres

Question : Reema runs $\frac{5}{4}$ times as fast as Rekha. In view of this Reema allows Rekha a lead of 50 metres to Rekha in a friendly race competition. What is the distance from the starting point where both Reema and Rekha meet?

Option 1: 250 m

Option 2: 225 m

Option 3: 200 m

Option 4: 240 m