Instructions

For the following questions answer them individually

Question 41

P takes twice as much time as Q or thrice as much time as R to finish a piece of work. Working together, they can finish the work in 5 days. Q can do the work alone in:

Question 42

Rohan takes 2 hours more than Soham to walk 50 km. but if Rohan doubles his speed, then he can make it in 1 hour less then Soham. How much time does Soham require for walking 50 km?

Question 43

Two trains of equal length are running on parallel tracks in the same direction at 40 km/hr and 30 km/hr. The faster train passes the slower train in 54 seconds. The length of each train is:

Question 44

The and water in two vessels P and Q are in the ratio 5:2 and 2:3 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel R containing milk and Half water?

Question 45

How many liters of water should be added to a 30 liters mixture of milk and water in the ratio of 7 : 3, such that the resultant mixture has 60% milk in it?

Question 46

The altitude drawn to the base of an isosceles triangle is 8 cm and the perimeter is 32 cm. Find the area of the triangle?

Question 47

A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 1 cm and height 4 cm. How many bottles will be needed to empty the bowl?

Question 48

A hollow hemisphere and a cone have equal bases. If their are also equal, then the ratio of their curved surface area will be:

Question 49

In how many different ways can the letters of the word "TRANSPORT" be arranged the vowels always come together?

Question 50

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?