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.

Statements:
(I) Some bags are hot.
(II) All hot things are cakes.

Conclusion:
(I) All cakes are bags.
(II) All bags are cakes.

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.

PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is

The area of a semicircle is 1925 cm2. Calculate its perimeter (in cm).

Convert decimal 99 to binary.

An angle in a semicircle is

An angle is smaller than its supplementary by 30°. What is the measure of the angle?

In the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? d_c_d_cb_c_b