Quantitative Aptitude - Arithmetic Ability Questions

A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle?

In the following question, select the odd word pair from the given alternatives.

Before a battle there were the ratio of captains to soldiers was 2 : 7. During the war 25 captains and 100 soldiers were martyred. The new ratio of captains to soldiers became 3 : 10. What is the number of soldiers after the war?

The area of a trapezium is 21 sq cm, the distance between the parallel sides is 3 cm and one of the parallel sides is 8.3 cm. What is the length of the other parallel side?

If Cosec θ = 17/8, then what is the value of Cos θ?

If a : b = c : d = 1 : 6, then what is the value of a2+c2b2+d2?

Rs 10,200 has to be divided between A,B & C so that A gets 2/3 of what B gets and B gets 1/4 of what C gets. How much more does C get over A (in Rs)?

A passenger train running at the speed of 80 kms/hr leaves the railway station 6 hours after a goods train leaves and overtakes it in 4 hours. What is the speed of the goods train?