Quantitative Aptitude - Arithmetic Ability Questions

What is the value of ( 1/2 - cot45) ?

In what ratio is the segment joining (-1, 3)and (2,-4) divided by the Y axis?

The average weight of 30 students in a class is 25 kgs. If the weight of the class teacher is added, the average weight increase by 2 kgs. The weight of the class teacher in kgs is

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

A natural number, when divided by 5,6,7 or 8,leaves a remainder of 4 in each case. what is the smallest of all such numbers?

The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is

If the diameter of a sphere is 14 cm, then what is the surface area (in sq.cm) of the sphere?

4 hrs after a goods train passed a station, another train travelling at a speed of 60 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?