Aptitude and Reasoning Questions

If tan2A + cot2A + 2 = x, then the value of x 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) Some authors are teachers.
(II) No teacher is a lady.

Conclusions:
(I) Some teachers are not ladies.
(II) Some ladies are not teachers.

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 clouds are fog.
Statement 2 : All fog are white.

Conclusion I : Some white are clouds.
Conclusion II : Some fog are clouds.

(secA - 1)/(secA + 1) is equal to?

Find out the odd word/letters/number/number pair from the given alternatives.

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:
I. All cups are vegetable.
II. All vegetable are pens.

Conclusions:
I. Some pens are vegetable.
II. Some pens are cups.

Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the statement(s).
Statement:
• All razors are blades.
• All blades are metals.
Conclusions:
1. All metals are razors.
2. Some metals are blades.

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. NIP, KGO, HEN, ECM, ?