Quantitative Aptitude - Arithmetic Ability Questions

Two numbers are 40% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

What is the simplified value of sec4θ – sec2θ tan2θ?

If x2+y2+z2-8x+6y-4z+29 = 0, then find the value of z(x+y).

In the following question, select the odd letters from the given alternatives.

If a + b = 4 and ab = -5, then what is the value of a3 + b3?

What is the value of (1+cosA)/(1-­cosA)?

In these questions, a question is given followed by information in three statements. You have to consider the information in all the three statements and decide the information in which of the statement(s) is not necessarily required to answer the question and therefore can be dispensed with. Indicate your answer accordingly How many students from institute 'A' got placement?

I. Number of students studying in institutes A and B are in the ratio of 3:4 respectively.

II. Number of students who got placement from institute B is 120% of the number of students who got placement from institute A

III. 80% of the students studying in institute B got placement.

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?