Quantitative Aptitude - Arithmetic Ability Questions

Two students appeared for an examination. One of them secured 13 marks more than the other and his marks were 76% of the sum of their marks. The marks obtained by them are

If a - b = -1 and ab = 6, then what is the value of a3- b3?

∆LMN is right angled at M. If m ∠N = 45°. What is the length (in cm) of MN, if NL = 6√2 cm?

Find the area (in cm²) of a semi-circle of radius 35 cm.

The length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circum circle and the incircle of the triangle is (use: π = 22/7)

If x2 + y2 + 6x + 5 = 4(x - y) then x - y is

Of the three numbers, the average of the first number and the second number is 37 more than the average of second number and third number. What is the difference between the first and the third number?

A solid has 12 vertices and 30 edges. How many faces does it have?