Question : In a 120-metre race, P beats S by 6 metres. If S starts with ahead start of 7.5 metres and it is a 100-metre race, then who wins the race and how many metres? (Correct to 2 decimal places)

Option 1: S, 2.63

Option 2: P, 3.63

Option 3: S, 3.63

Option 4: P, 2.63

Question : In a linear race of 1000 m, Prakash beats Ved by 280 m, while Ved beats Rahul by 100 m. By how many metres does Prakash beat Rahul, in the same race?

Option 1: 346

Option 2: 350

Option 3: 352

Option 4: 348

Question : Anil completed a certain journey by car. If he covered 35% of the distance at 70 km/h, 40% of the distance at 80 km/h and the remaining distance at 50 km/h, his average speed (in km/h) for the entire journey is:

Option 1: $66 \frac{1}{6} $km/h

Option 2: $66 \frac{2}{3} $km/h

Option 3: $66 \frac{1}{3} $km/h

Option 4: $66 \frac{4}{3} $km/h

Question : If $\sin (p+q)=1$ and $\cos (p-q)=\frac{\sqrt{3}}{2}$, then find $p$.

Option 1: 90°

Option 2: 80°

Option 3: 60°

Option 4: 120°

Question : A man travelled a certain distance by train at the speed of 50 km/hr and walked back the same distance at the speed of 10 km/hr. If the whole journey took 12 hours, then what was the distance travelled by train?

Option 1: 100 km

Option 2: 180 km

Option 3: 150 km

Option 4: 120 km