Quantitative Aptitude - Arithmetic Ability Questions

The mode of the data -3, 4, 0, 4, -2, -5, 1, 7, 10, 5 is

If θ>0, be an acute angle, then the value of it in degrees satisfying cos2θ-3cosθ+2sin2θ=1 is

What is the value of [sin (90 – A) + cos (180 – 2A)]/[cos (90 – 2A) + sin (180 – A)]?

The surface areas of three faces of a cuboid sharing a vertex are 20, 32 and 40 sq. mts. What is the volume of the cuboid in cub. m?

In a quadrilateral PQRS, l_S= 90°. A circle (o, r) touches the sides PQ, QR, RS and SP at A, B, C and D respectively. If QR= 38 cm, RS = 25 cm and QA = 27 cm, find 'r'.

Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?

If P travelled the first half of a journey at 40 kmph and the the remaining distance at 50 kmph, what is the average speed of his travel?

P and Q can complete a task in 50 and 20 days respectively. In how many days can they complete 70% of the task if they work together?