Quantitative Aptitude - Arithmetic Ability Questions

3cosA is equal to

What is the value of 13313 + 729 - 5123

If 3x + 2 < 2x + 1 and x ­- 4 ≤ 2x -­ 1; then x can take which of the following values?

Two fractions are such that their product is ­2/5 and sum is 1/15. What are the two fractions.

What is the slope of the line perpendicular to the line passing through the points (8,­2) and (3,­1)?

The arithmetic mean of the marks scored by students of a class is 58. 20% of them secured a mean score of 60. The mean score of another 30% of the students was 40. The mean score of the remaining students is

The average weight of 3 men A, B and C is 84 Kg. Another man D joins the group and the average now becomes 80 Kg. If another man E whose weight is 3 Kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 Kg. What is the weight of A?

∆DEF is right angled at E. If tanD = 4/3, then what is the value of tanF ?