Quantitative Aptitude - Arithmetic Ability Questions

If x+y+z = 0, then what is the value of x23z+y33xz+z23x ?

If Sec θ = 13/12, then what is the value of Sin θ?

A and B together do a job in 12 days and A could do the job in 20 days if he worked alone. How many days would B take to do the job if he worked alone?

In the given figure, AP = 3cm, AR = 6cm and RS = 9cm, then what is the value (in cm) of PQ?

In each of the following questions, a question is followed by information given in them Statements I, II and III. You have to study the question along with the statements and decide the information given in which or the statements/ is necessary to answer the question. 

What is the cost of flooring the rectangular hall?

I. Length and the breadth of the hall are in the ratio of 3:2

II. Length of the hall is 48 m and cost of flooring is ₹ 850 Per sq.m.

III. Perimeter of the hall is 160 m and cost of flooring is ₹ 850 per sq m

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?

If (x – y) = 7, then what is the value of (x – 15)3 – (y – 8)3?