Quantitative Aptitude - Arithmetic Ability Questions

If (cotA - cosecA)2 = x, then the value of x is

If 4(2x + 3) > 5 -­ x and 5x - ­3(2x­ - 7) > 3x -­ 1, then x can take which of the following values?

Divide 3740 in three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal.

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:5, and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?

The point at which the perpendicular bisectors of the sides of a triangle intersect is known as _____________________

4 hrs after a goods train passed a station, another train travelling at a speed of 60 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

ΔXYZ is similar to ΔPQR. If ratio of Perimeter of ΔXYZ and Perimeter of ΔPQR is 4:9 and if PQ = 27 cm, then what is the length of XY (in cm)?

P and Q can do a project in 20 and 12 days respectively. In how many days can they complete 40% of the project if they work together?