Quantitative Aptitude - Arithmetic Ability Questions

The mode of the data 12, 1, 10, 1, 9, 3, 4, 9, 7, 9 is

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

If cot 60° + cosec 60° = x, then the value of x is

What is the value of (4/3) cot2 (p/6) + 3 cos2 (150) – 4 cosec2 45 + 8 sin (p/2)?

What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?

In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square . What is the area (in sq.cm) of the shaded region?

The distance between the points (4, 8) and (k,-4) is 13. What is the value of k?

A, B and C can do a job working alone in 6, 9 and 18 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to complete the remainder of the job?