Quantitative Aptitude - Arithmetic Ability Questions

If the expression px3 – qx2 – 7x – 6 is completely divisible by x2 – x – 6, then what is the value of p and q respectively?

N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?

What would be the smaller of the two angles formed by the hour hand and the minute hand at 4:52 p.m?

Value of (4a2+ 12ab + 9b2)/(2a + 3b) is

In an army selection process, the ratio of selected to unselected candidates was 9:2. If 80 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

By increasing the price of entry ticket to a fair in the ratio 11:16, the number of visitors to the fair has decreased in the ratio 19:9. In what ratio has the total collection increased or decreased?

The first and last terms of an arithmetic progression are 32 and ­-43. If the sum of the series is ­-88, then it has how many terms?

In a class of 60 students there are 33 girls. The average weight of these girls is 62 Kg and average weight of the full class is 66.5 kg. What is the average weight of the boys of the class?