Aptitude and Reasoning Questions

From the given four figures choose the correct mirror image for the problem figure when the mirror is on AB line.

An equilateral triangle has sides of 10 cm each. Find the ratio of in-radius to the circum-radius of the triangle.

If triangle ABC = triangle XYZ and angle BAC = 55 deg, then angle ZXY = ?

What is the measure of an interior angle of a regular dodecagon?

Three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. The edge of the new cube formed is

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) Determination is the key to success. If a person determines to achieve a certain goal in his or her life, no one can stop him/her from achieving it.
(II) Prioritizing various determined goals is another important aspect of decision making.

Conclusions:
(I) If I determine to achieve three goals in near future, my energy will get divided into three parts and I can never succeed.
(II) Making a prior plan for achieving those three things I can get near to all my goals.

The pie chart shows the contribution of all the sectors towards the GDP of the economy of a certain country. Study the diagram and answer the following questions.

If in the following year sectors A, B and C grew by 9% and the remaining sectors grew by 3%, how much did the overall economy grow by?

If A + B = 90 deg and Cos B = 1/3, then the value of Sin A is