Quantitative Aptitude - Arithmetic Ability Questions

ΔPQR is right angled at Q. If m∠R = 60o, then find the value of (secP - 1/√3) 

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

In triangle DEF measure of angle E is 90 deg. If cotD = 5/12 and DE = 1 cm, then what is the length (in cm) of side EF?

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

The sum of a fraction and 3 times its reciprocal is 31/6. What is the fraction?

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?

If a2+1=a, then the value of a3 is

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is