Quantitative Aptitude - Arithmetic Ability Questions

A can do a work in 12 days and B in 24 days. If they work on it together for 4 days, then what fraction of work is left?

Two numbers are 10% and 20% lesser than a third number respectively. By how much percent is the second number should be enhanced to make it equal to the first number?

What is the fourth proportional to 24, 120 and 22?

Two whole numbers are such that the square of first number exceeds the second by 112 and the ratio of the numbers is 4:3. What is thevalue of smaller number?

What is the simplified value of (sin A – cosec A)(sec A – cos A) (tan A + cot A)?

ΔDEF is right angled at E. If cosD = 8/17, then what is the value of secF ?

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

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?