Quantitative Aptitude - Arithmetic Ability Questions

The average age of a class of 6 girls is x years. Four new girls having ages x – 2, x + 2, x + 4 and x + 6 joins the class. What is the new average age (in years) of the class?

If x + y + z = 22 and xy + yz + zx = 35, then what is the value of (x – y)2 + (y – z)2 + (z – x)2?

A person scores 45% of the total marks in the exam and still fails by 40 marks. The passing percentage of the exam is 55%. What is the maximum marks of the exam?

What would be the smaller of the two angles formed by the hour hand and the minute hand at 3:47 p.m?

ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?

If P=9, Q=17 then the value of p2-q2-13

If 5x = 30-y = 6z, then what is the value of (xy + yz + zx)/xyz?

A train travelling at the speed of 66 kmph crosses a 300 m long platform in 24 seconds. How long was the train?