Quantitative Aptitude - Arithmetic Ability Questions

If x+1x = 4, then what is the value of x6+1x6 ?

If x + [1/(x + 7)] = 0, then what is the value of x – [1/(x + 7)]?

In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR =105°, then what is the value of ∠PAR (in degrees)?

The mean score in a test of the 12 boys in a class was 16 while the overall mean of the 30 students in the class was 18.1. What was the mean score of the girls?

The mean of the data 1, 2, 10, 18, 3, 17, 19 is

X can do a piece of work in 'p' days and Y can do the same work in 'q' days . Then the number of days in which X and Y can together do that work is

If 5 ­ 3x < 4 ­ x and 5(2 ­ x) > 2 ­ 2x, then x can take which of the following values?

The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?