Question : Prabodh has done $\frac{1}{2}$ of a job in 30 days. Sapan completes the rest of the job in 45 days. In how many days can they together do the job?

Option 1: 18 days

Option 2: 48 days

Option 3: 27 days

Option 4: 36 days

Question : If 18 mechanics can repair 90 cars in 10 days, how many mechanics will be required to repair 150 cars in 12 days?

Option 1: 25

Option 2: 30

Option 3: 20

Option 4: 27

Question : A and B can finish a work together in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days can A alone finish the job?

Option 1: 50 days

Option 2: 60 days

Option 3: 48 days

Option 4: 54 days

Question : The ratio of time taken to complete a work by a man and a woman is 2 : 3. The man and the woman can complete the work together in 24 days. In how many days can the woman complete the work alone?

Option 1: 20 days

Option 2: 40 days

Option 3: 60 days

Option 4: 30 days

Question : In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that $\angle$PQR = 30°, then $\angle$RPQ =?

Option 1: 90°

Option 2: 60°

Option 3: 30°

Option 4: 45°