Quantitative Aptitude - Arithmetic Ability Questions

There are red (A), yellow(B) and green (C) tokens in a bag. A : B :: 3 : 8, B : C :: 6 : 13. A : B : C is given by

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

If x + y = 10 and xy = 4, then what is the value of x4 + y4?

65.The angles of elevation of an aeroplane flying vertically above the ground, as observed from the two consecutive stones, 1 km apart; are 45o and 60o. The height of the aeroplane from the ground is

Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?

The labourers A, B, C were given a contract of Rs. 750 for doing a certain piece of work. All the three together can finish the work in 8 days. A and C together can do it in 12 day, while A and B together can do it in 13 1/3 days. The money will be divided in the ratio

In what ratio should tea costing Rs 300/kg be mixed with tea costing Rs 200/kg so that the cost of the mixture is Rs 225/kg?

If the shopkeeper sells an item at Rs 4400 which is marked as Rs 5000, then what is the discount that he is offering?