Quantitative Aptitude - Arithmetic Ability Questions

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

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 =0 has infinite number of solutions?

The largest 5 digit number exactly divisible by 95 is ______.

What is the slope of the line parallel to the line passing through the points (4,-2) and (-3,5)?

The ratio of two numbers is 2 : 3. If the sum of both the numbers is 75, then what is the larger number among both the numbers?

What is the area (in sq cm) of a regular hexagon of side 6 cm?

An angle is smaller than its supplementary angle by 70°. What is the measure of the angle?

In a container, two types of liquids P and Q are in the ratio of 3 : 7. If 10 litres mixture is drawn off from the container and filled with 6 litres of liquid Q,then the ratio of P and Q becomes 1 : 3. What was the original quantity (in litres) of mixture?