Quantitative Aptitude - Arithmetic Ability Questions

The average marks obtained by Raghav in 12 tests is 24. Zubeida has maintained an average of 23 so far but has taken only 9 of the tests. If each test is out of 30, at least how much Zubeida score in any one of the remaining three tests to still have a chance to match Raghav's performance?

In a class of 56 students there are 28 girls. The average weight of these girls is 46 kg and average weight of the full class is 51 kgs. What is the average weight of the boys of the class?

The sum of thrice a number and twice its reciprocal is 97/4. What is the number?

ΔXYZ is right angled at Y. If cosX = 3/5, then what is the value of cosecZ ?

In what ratio does the point T (3,0) divide the segment joining the points S (4,­2) and U (1,4)?

If x + 3 ≤ 4x + 4 and 3(4 - x) - 4 ≥ 2x - 2, then x can take which of the following values?

If √[(1 - cosA)/2] = x, then the value of x is

Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?