Logical Venn-Diagram or Syllogism · Logical Reasoning and General Mental Ability · UPSC Civil Service

A Statement is given followed by two Conclusions numbered I and II. Consider the Statement and the Conclusions.

Statement :
India is the world's largest producer of milk.

Conclusion–I :
India is the world's largest exporter of milk.

Conclusion–II :
India does not import milk.

A Main Statement is followed by four Statements labelled P, Q, R and S. Choose the ordered pair of the Statements where the first Statement implies the second, and the two Statements are logically consistent with the Main Statement.
Main Statement: Pradeep becomes either a Director or a Producer.

Statement P: Pradeep is a Director.

Statement Q: Pradeep is a Producer.

Statement R: Pradeep is not a Director.

Statement S: Pradeep is not a Producer.

Select the correct answer.

Consider the following:

I. A + B means A is neither smaller nor equal to B.

II. A - B means A is not greater than B.

III. A × B means A is not smaller than B.

IV. A ÷ B means A is neither greater nor equal to B.

V. A ± B means A is neither smaller nor greater than B.

Statement: P × Q, P - T, T ÷ R, R ± S

Conclusion-1: Q ± T

Conclusion-2: S + Q

Which one of the following is correct in respect of the above Statement and the Conclusions?

Let P, Q, R, S and T be five statements such that:

I. If P is true, then both Q and S are true.

II. If R and S are true, then T is false.

Which of the following can be concluded?

1. If T is true, then at least one of P and R must be false.

2. If Q is true, then P is true.

Select the correct answer using the code given below:

Two Statements followed by four Conclusions are given below. You have to take the Statements to be true even if they seem to be at variance from the commonly known facts. Read all the Conclusions and then decide which of the given Conclusions logically follows/ follow from the Statements, disregarding the commonly known facts :

Statement-1 : All pens are books.

Statement-2 : No chair is a pen.

Conclusion-I : All chairs are books.

Conclusion-II : Some chairs are pens.

Conclusion-III : All books are chairs.

Conclusion-IV : No chair is a book.

Which one of the following is correct?

Three Statements followed by three Conclusions are given below. You have to take the Statements to be true even if they seem to be at variance from the commonly known facts. Read all the Conclusions and then decide which of the given Conclusions logically follows/ follow from the Statements, disregarding the commonly known facts:

Statement-1 : Some doctors are teachers.

Statement-2 : All teachers are engineers.

Statement-3 : All engineers are scientists.

Conclusion-I : Some scientists are doctors.

Conclusion-II : All engineers are doctors.

Conclusion-III : Some engineers are doctors.

Which one of the following is correct?

A Statement followed by Conclusion-I and Conclusion-II is given below. You have to take the Statement to be true even if it seems to be at variance from the commonly known facts. Read all conclusions and then decide which of the given Conclusion(s) logically follows/follows from the statement, disregarding the commonly known facts.

Statement: Some radios are mobiles. All mobiles are computers. Some computers are watches.

Conclusion I: Certainly some radios are watches.

Conclusion II: Certainly some mobiles are watches.

Which one of the following is correct?

A Statement followed by Conclusion-I and Conclusion-II is given below, You have to take the Statement to be true even if it seems to be at variance from the commonly known facts. Read all conclusions and then decide which of the given Conclusion(s) logically follows/follows from the Statement, disregarding the commonly known facts.

Statement :

Some cats are almirahs.

Some almirahs are chairs.

All chairs are tables.

Conclusion-I: Certainly some almirahs are tables.

Conclusion-II: Some cats may not be chairs.

Consider two Statements and four Conclusions given below. You have to take the Statements to be true even if they seem to be at variance from the commonly known facts. Read all Conclusions and then decide which of the given Conclusion(s) logically follows/follow from the Statements, disregarding the commonly known facts.

Statement - 1 : Some greens are blues.

Statement - 2 Some blues are blacks.

Conclusion - 1 : Some greens are blacks.

Conclusion - 2 : No green is black.

Conclusion - 3 : All greens are blacks.

Conclusion - 4 : All blacks are greens.

Which one of the following is correct ?