Quantitative Aptitude - Arithmetic Ability Questions

In the following question, select the odd letter/letters from the given alternatives.

If 2 + 4x < 5 - x/2 and 3x + 3 > -5 - 3x; then x can take which of the following values?

If the perimeter of a semi-circle is 36 cm, then find its radius (in cm).

Four numbers, when arranged in ascending order, are w, x, y and z. The average of the smallest three numbers is 18, while the average of the largest three was 22. What is the range of the data?

In ΔPQR, PS and PT are bisectors of ∠QPR and ∠QPS respectively. If ∠QPT = 30°, PT = 9 cm and TR = 15 cm, then what is the area (in cm2) of ΔPTR

What is the least number that should be added to the product 11 x 12 x 13 x 14 to make it a perfect square?

If x2+5x+6 = 0, then the value of 2xx2-7x+6 is

What is the value of Cot 60 - Sec 30?