I. a2-7a+12 = 0,

II. b2-3b+2 = 0

Solve both the equations to find the values of a and b  ?

Take the given statements to be true and decide which of the conclusions logically follows from the given statements.

Statement : Some ponds are lakes. Some lakes are rivers. Some rivers are seas.

Conclusions :

1. Some seas are lakes.

2. No sea is a lake.

Read the given statement and decide which of the suggested courses of action logically follows on the basis of the information given in the statement.

Course of Action :

1. Only one department should be there to take charge during natural calamities.

2. All departments should be held responsible for wrong-doings and punished.

Consider the given statement and decide which of the given assumptions is/are implicit in the statement.

Statement :

Mr. X said to Mr. Y, "I want to become a doctor because I want to serve the mankind".

Assumptions :

1. Mr. X is lying to Mr. Y.

2. Mr. Y knows that Mr. X is lying.

Statements :

A) H2SO4 is used in the refining of petroleum to remove sulphur and other compounds.

B) The basic nature of Sodium Hydroxide (NaOH) is due to the presence of Hydrogen ions in the solution.

Which of the following statements is/are true or false?

Statements :

A) Natrium is the Latin name of Sodium

B) Argentum is the Latin name of Silver

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 beat variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I: All threads are strings

Statement II: All fibres are threads

Conclusion I: All strings are fibres

Conclusion II: All fibres are strings

Read the statements and select a conclusion from the given alternatives.

Statement :

To cultivate interest in debate the school has made it compulsory from December, 2015 for each student to attend two debate classes per week and submit a weekly report on the debates discussed.

Conclusions :

I. Interest in debating can be created by force.

II. Some students eventually will develop interest in debating.

Read the statements and select a conclusion from the given alternatives.

Statements :

The healthcare system has expanded in terms of number of hospitals. But the fact is that most of them are not well equipped and unable to make significant progress in the field of patient care.

Conclusions :

I. We should provide good doctors and equipment to existing hospitals now onwards.

II. Now, it is not necessary to open any new hospitals.