Quantitative Aptitude - Arithmetic Ability Questions

If cosec∅+sin∅cosec∅-sin∅=53 then the value of sin∅is equal to

If a triangle has its orthocenter and centroid of equal length, then which of the following is TRUE about the triangle?

Two donkeys are standing 400 meters apart. First donkey can run at a speed of 3 m/sec and the second can run at 2 m/sec. If two donkeys run towards each other after how much time (in sec) will they bump into each other?

A solid hemisphere has radius 14 cm. It is melted to form a cylinder such that the ratio of its curved surface area and total surface area is 2 : 3. What is the radius (in cm) of its base?

In a Rhombus ABCD, measure of angle CAB is 25°, what is the measure of angle ABC?

The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?

If ax + by = 1 and bx + ay = 2aba2+b2 then x2+y2a2+b2 is equal to

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 5% per annum is Rs 45. The sum is