Quantitative Aptitude - Arithmetic Ability Questions

What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

4 hrs after a goods train passed a station, another train travelling at a speed of 72 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?

By increasing the price of entry ticket to a fair in the ratio 5:7, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?

A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?

P(4,2) and R(-2,0) are vertices of a rhombus PQRS. What is the equation of diagonal QS.

When a number is increased by 69, it becomes 103% of itself. What is the number?

At 15% discount the selling price of a microwave oven is Rs 34000, what is the selling price if the discount is 37.5%?

P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?