Quantitative Aptitude - Arithmetic Ability Questions

A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?

13 years ago Ram was twice as old as Sunny. Three years from now Sunny's age will be 3/5 of Ram's age. What is Ram's current age?

A train is moving with uniform speed crosses two tunnels of lengths 270 metres and 450 metres in 12 seconds and 15 seconds respectively. What is the speed (in km/hr) of the train?

The average age of 36 students in a group is 14 years. When the teacher's age is included in it, the average increases by one. The teacher's age in years is

In a cyclic quadrilateral ABCD , the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47° , then the value of ∠BDC is

AB is a chord of the circle and its center is “O”. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2√11) cm, find the radius (in cm) of the circle.

The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is

The value of sinθ+sin∅cosθ+cos∅ + cosθ-cos∅sinθ-sin∅ is