Aptitude and Reasoning Questions

What is the value of Cot 60°- Cos 45°?

A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is

The Pie chart 1 given below shows the segregation of 40000000 candidates who have filled the form of an examination. Pie chart 2 shows the segregation 35000000 candidates who were present in the examination. The segregation in both pie charts has been done on the basis of their highest qualification.

If 18% of M.B.B.S. who have filled the form are from XYZ University, then how many M.B.B.S. candidates from XYZ University have filled the form?

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.

Statements:
(I) Out of 100 people 87 do regular exercising and 35 restrain from unnecessary diet.
(II) These 100 people belong to metro city region.

Conclusion:
(I) 35 % people do exercising and dieting.
(II) In metro city region people are more health conscious.

A and B start from the same point. A cycles 10 km South, then turns to her right and cycles 9 km. B cycles 2 km North, then turns West and cycles 15 km, then turns to her left and cycles 12 km. Where is B with respect to A now?

Find the volume (in cub.cm) of a hemisphere of diameter 21 cm.

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems 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 1 : All dawn is day.
Statement 2 : No day is night.

Conclusion I : No night is day.
Conclusion II : Some dawn is night.

The diagonal of a square is 10 cm. What is the length (in cm) of its side?