Quantitative Aptitude - Arithmetic Ability Questions

A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3√3. What is the value of (a2 + b2 + c2)/(a + b + c)?

In a motor of 120 machine parts, 5% parts were defective. In another motor of 80 machine parts, 10% parts were defective. For the two motors considered together, the percentage of defective machine parts were

Speed of a boat along and against the current are 14 kms/hr and 8 kms/hr respectively. The speed of the current is

Choose the odd word/letters/number/number pair from the given alternatives.

At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5%?

If x2 – 4x + 1 = 0, then what is the value of x9 + x7 – 194x5 – 194x3?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:4 and area of ΔADE is 6 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

Find the area (in sq.cm) of a semi-circle of radius 7 cm