Quantitative Aptitude - Arithmetic Ability Questions

If sin ­- 5π/3 = x, then the value of x is

If a - b = -7 and a2+ b2= 85, then find ab.

If 3x - 8(2 - x) = -19, then the value of x is

The length of one side of a rhombus is 61 cm and its area is 1320 sq.cm. Find the sum of the lengths of its diagonals?

The areas of two similar triangles ΔABC and ΔPQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?

If x = 1.1, then what is the value of 4x2 -4x + 1 ?

ABC is a right angled triangle. ∠BAC = 90 deg and ∠ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26θ + cot100θ?