Quantitative Aptitude - Arithmetic Ability Questions

If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is

ΔABC is similar to ΔPQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ΔABC is 324 sq cm, what is the area of ΔPQR?

To cover a distance of 144 km in 3.2 hours what should be the average speed of the car in meters/second?

A man starts walking from a place X and reaches the place Y in 12 hours. He travels 3/7th of the total distance at the speed of 3 km/hr and the remaining distance at the speed of 4 km/hr. What is the distance (in km) between X and Y?

If a = 5, b = 4, c = 8 then find the value of (a3 + b3 + c3 - 3abc)/(ab + bc + ca - a2 - b2 - c2)

What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?

If a4 + 1 = [a2 /b2 ] (4b2 – b4 – 1), then what is the value of a4 + b4?

What is the value of √[(1 + sinA)/(1 -­ sinA)]?