Quantitative Aptitude - Arithmetic Ability Questions

In a company 2/3 of the workers are girls, 1/2 of the girls are married and 1/3 of the married girls live in hostel. If 3/4 of the boys are married and 2/3 of married boys live in hostel. Calculate the part of workers who don’t live in hostel.

If a - b = -7 and a2+ b2= 85, then find ab.

The area of a semicircle is 308 sq.cm. Calculate its perimeter (in cm)

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.

Question:

What is the total age of the sisters 10 years from now?

Statements:

1. Lina is 20 years old now.

2. Lina's sister's age is twice that of the age of Lina.

In the given figure, AB, AE, EF, FG and GB are semicircles. AB = 56 cm and AE = EF = FG = GB. What is the area (in sq.cm) of the shaded region?