Quantitative Aptitude - Arithmetic Ability Questions

In a triangle ABC, a line is drawn from C which bisects AB at point D. Find the ratio of area of the triangles DBC and ABC.

The length of a chord which is at a distance of 5cm from the centre of a circle of radius 13cm is

4 years ago, the ratio of Vikah's to Rahul's age was 3:5. After 6 years, this ratio would become 4:5. Find present age of Rahul.

Average age of 5 students of a school is 14 years. The average age of students and their Mathematics and science teachers is 30 years. If the age of science teacher is 6 years more than the age of Mathematics teacher, then what is the age (in years) of Mathematics teacher?

Among four bags, average weight of last three bags is 18 kg and the average weight of first three bags is 19 kg. If the weight of last bag is 22 kg, then what is the weight (in kg) of first bag?

ΔPQR is right angled at Q. If cosecP = 25/24, then what is the value of cotR ?

O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ∠AOP = 50°, then what is the value (in degrees) of ∠APB?

What is the length of diagonal, if area of a rectangle is 168 sq.cm and breadth is 7 cm?