Quantitative Aptitude - Arithmetic Ability Questions

There were 24 studentsina class. One of them, who was 18 years old, left the class and his place was filled up by a new comer.Ifthe average of the class was thereby lowered by 1 month, the age of new comer is-

If Sec θ = 13/12, then Cot θ = ?

If 5/2 - (6/5)(x - 15/2) = -x/5, then what is the value of x?

If (x – 2)2 + (y + 3)2 + (z – 15)2 = 0, then what is the value of x + y + z – 5?

What is the value of sec2θ + 1sec2θ - 1 x 12cotθ - tanθ ?

If 2x- 3(4-2x) < 4x - 5 < 4x + 2x/3, then x can take which of the following values?

A and B have their annual average income Rs. 80,000.
B and C have their annual average income Rs. 75,000.
C and A have their annual average income Rs. 78,000.

The annual income of A is ?

In an acute-angled triangle ABC is Sin(B+A+C)=32 and tan(C+A-B)=1, then C is equal to