Quantitative Aptitude - Arithmetic Ability Questions

In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

The upstream speed of the boat is 40 kmph and the speed of the boat in still water is 55 kmph. What is the downstream speed of the boat?

If 170% of a number added to 66, then the result becomes equal to twice of the number. What is the number?

If x + y = 5, x3 + y3 = 35, then what is the positive difference between x and y?

Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?

In the first 38 overs of a cricket match, the run rate was 4.5 runs/over. Calculate the required run rate in the remaining 12 overs to reach the target of 288 runs?

If 3a=4b=6c and a+b+c=279 then a2+b2+c2 is equal to

The least number which when divides 37044, gives the result a perfect cube, is: