Quantitative Aptitude - Arithmetic Ability Questions

A man travels 800 km in partly by rail and partly by steamer. He spends 7 hours more time on steamer. If the velocity of the steamer is 20 km/hr and the velocity of rail is 55 km/hr, how much distance does he cover by steamer?

If a - b = -5 and a2+b2=73, then find ab.

Average of all even numbers between 104 and 148 is __________.

A train crosses a 375 m long platform in 27 seconds. How long was the train if it was travelling at the speed of 70 kmph?

If the radius of a circle is increased by 21%, then its area will increase by what percent?

If a+b=2c then the value of aa-c+cb-c is equal to (where a≠b≠c)

If the expression px3 – 2x2 – qx + 18 is completely divisible by (x2 – 9), then what is the ratio between p and q respectively?

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the mid points of the sides PQ and PR respectively. What is the area (in sq.cm) of the shaded region?