Quantitative Aptitude - Arithmetic Ability Questions

If a + b = ­ 8 and a2 + b2 = 34, then value of ab is

An investor invested his saving in the stock market. The value of his investments increased by 12% and 9% in the first year and the second year respectively. If the value of his investments after two years became Rs 97,664 then how much had he invested (in Rs)?

LCM of two co-prime numbers a and b is (a is greater than b):

In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR and DES are equilateral triangles. What is the area (in sq.cm) of the shaded region?

M is the largest 4 digit number, which when divided by 4, 5, 6 and 7 leaves remainder as 2, 3, 4, and 5 respectively. What will be the remainder when M is divided by 9?

If 310 × 272 = 92 × 3n then the value of n is

The perimeter of an isosceles triangle is 32 cm and each of the equal sides is 5/6 times of the base. What is the area (in cm2 ) of the triangle ?

If x3 = 62 - 32, then the value of x is