Aptitude and Reasoning Questions

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.

ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is

If a2+1=a, then the value of a3 is

Engineer is related to Engineering in the same way as Doctor is related to

Which of the following is the correct option for the congruency of the two triangles ABC and PQR as per the SAS congruency criterion?

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

What is the difference (in Rs) between compound interest (compounded annually) and simple interest for 3 years on a principal of Rs 4000 at the rate of 30% per annum?

A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.