Question : A road of 5 km in length will be constructed in 100 days. So, 280 workers were employed. But after 80 days it was found that only $3\frac{1}{2}$ km road was completed. Now how many more people were needed to finish the work in the specified time?

Option 1: 480

Option 2: 80

Option 3: 200

Option 4: 100

Question : Tom can do a piece of work in 7 days, whereas Jay can do the same work in 14 days. How long will it take to finish the work if both work together?

Option 1: $5 \frac{2}{3}$ days

Option 2: $4 \frac{2}{3}$ days

Option 3: $7 \frac{2}{3}$ days

Option 4: $2 \frac{2}{3}$ days

Question : If the angle of elevation of a balloon from two consecutive kilometre stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be:

Option 1: $\frac{\sqrt{3}}{2}$ km

Option 2: $\frac{1}{2}$ km

Option 3: $\frac{2}{\sqrt{3}}$ km

Option 4: $3\sqrt{3}$ km

Question : A can do a job in 10 days and B can do the same job in 15 days. They start working together, but B leaves after 5 days. How many more days does A want to finish the work?

Option 1: $2$ days

Option 2: $1\frac{2}{3}$ days

Option 3: $3$ days

Option 4: $2\frac{2}{3}$ days

Question : From an aeroplane just over a straight road, the angles of depression of two consecutive kilometre stones situated at opposite sides of the aeroplane were found to be 60° and 30°, respectively. The height (in km) of the aeroplane from the road at that instant, is:

Option 1: $\frac{\sqrt{3}}{2}$

Option 2: $\frac{\sqrt{3}}{3}$

Option 3: $\frac{\sqrt{3}}{4}$

Option 4: $\sqrt{3}$

Question : $(1-\frac{1}{5})(1-\frac{1}{6})(1-\frac{1}{7}).......(1-\frac{1}{100})$ is equal to:

Option 1: $0$

Option 2: $\frac{1}{25}$

Option 3: $\frac{1}{100}$

Option 4: $\frac{1}{50}$