Quantitative Aptitude - Arithmetic Ability Questions

The brother is elder to his sister by 6 years. Seven years ago the product of their ages was 72. What is the age of the brother?

In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?

If cosec ­4π/3 = x, then the value of x is

Priya's marks in History and Geography are in the ratio 5 : 7. If she got 14 marks more in Geography than in History, what are her History marks?

The marked price of an article is 40% more than its cost price. If 15% discount is given on the marked price, then what will be the profit percentage?

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: Vipin can swim at 6 km/hr in still water. The river flows at 3 km/hr and it takes 8 hours more upstream then downstream for the same distance. How far is the place?

Quantity II: A man can row 25 km/hr in still water and the river is running at 15 km/hr. if the man takes 2 hr to row to a place and back, how far is the place?

Vijay can do a work in 8 hours. Vijay and Puneet together can do the same work in 6 hours. Puneet and Sachin together can do the same work in 4 hours. Sachin alone can complete the same work in how many hours?

In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels always come together?