Quantitative Aptitude - Arithmetic Ability Questions

A contractor has got two orders A and B. On one (A) he spends Rs. 25,000 and makes a bill of Rs. 30,500. On the other (B) he makes a bill keeping a profit of 20%. Which of the two orders is more profitable to him?

x, y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°), the value of tan(x + y) is

ABCD is a kite where m∠A is 90° and m∠C is 60°. If length of AB is 6 cm, what is the length of diagonal AC?

The points A(3,­-2), B(1,4) and C(­-2,x) are collinear. What is the value of x?

If cosec θ + sinθ = 5/2 then the value of cosecθ - sinθ is

The ratio of the curved surface area and total surface area of a right circular cylinder is 2 : 5. If the total surface area is 3080 cm2, then what is the volume (in cm3) of the cylinder?

When a number is increased by 28, it becomes 107% of itself. What is the number?

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?