Quantitative Aptitude - Arithmetic Ability Questions

If 2x- 3(4-2x) < 4x - 5 < 4x + 2x/3, then x can take which of the following values?

In a bag the ratio of red balls to green balls is 4 : 9. If 6 more green balls were added to the bag, the ratio of red balls to green balls would become 1 : 3. How many red balls are there in the bag?

What is the value of (1/2) Sec 30° + √2 Tan 60°?

Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

If -3/2 + (2/3)(3x + 9) = x/2, then what is the value of x?

What is the value of [(sin 59° cos 31° + cos 59° sin 31° )÷(cos 20° cos 25° – sin 20° sin 25° )]?

A can do a work in 24 days and B in 40 days. If they work on it together for 10 days, then what fraction of work is left?

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ___ days.