Mathematical Reasoning Questions with Answers for Competitive Exams

Directions: In the following question assuming the given statements to be true, find which conclusion among the given conclusions is/are definitely true and then give your answers accordingly

Statement:

R ≥ T = Q < M; S ≥ R

Conclusions:

I. M < R

II. S ≥ Q

Directions: In the following question assuming the given statements to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.

Statement: B > C = D ; E < F ; B ≤ A; D ≤ E

Conclusions:

I. A > C

II. B = D

Relationship between different elements is shown in the statements below. These Statements are followed by 2 Conclusions. Mark your answer on the basis of given statements and  Conclusions

Statements: A < B ≤ C > D; C > E ≥ F; E > B

Conclusions:

i) A < F

ii) D < B

In this question, two statements I and II have been given. These statements may be independent causes or effects of independent causes or a common cause. One of the statements maybe the effect of the other statement. Read both statements and select the correct answer.

I. This year College X reduced the cut-off marks to 50 from 60 for the entrance exam.

II. In the last two years, the Students Union in College X has been actively negotiating with the college administration regarding the Quality of food and Health and Hygiene standards at the College Canteen.

In this question, a statement is followed by two courses of action, numbered I and II. You must assume everything in the statement to be true and on the basis of the information given in the statement, decide which course of action/s logically follows for pursuing.

 Statement:
 A large number of the people of the city are diagnosed to be suffering from Malaria disease.

Course of Action:
 I. The city municipal authorities should take immediate steps to carry out extensive fumigation in the city.
 II. The people in the area should be advised to take steps to avoid mosquito bites.

Assume following statement is true. On the basis of statement decide which of the courses of action logically follows it.

Statement:
 People residing in some tribal areas are far from education.

Courses of action:
 I. A mass awareness programme must be initiated in these areas.
 II. Social workers should be entrusted to educate them.

A statement is given below followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument.

Statement:
 Should foreign films be banned in India?

Arguments:
 I. Yes, they depict an alien culture which adversely affects our values.
 II. No, foreign films are of a high artistic standard.

A statement is given below followed by two assumptions numbered I and II. You have to decide which of the assumption is implicit in the statement.

Statement:
 A warning in a train compartment "To stop train, pull the chain". Penalty for improper use 1000."

Assumptions.
 I. Some people misuse the stop chain.
 II. On certain occasions, people may want to stop a running train.

Statements:
 Some ships are cups.
 No cup is a stool.
 All windows are cups.

Conclusions:
 I. Some ships being windows is a possibility.
 II. No window is a stool.
 III. All cups are windows.
 IV. No ship is a stool.

Directions: A statement is given followed by two inferences I and II. You have to consider the statement to be true even if it seems to be at variance with commonly known facts. You have to decide which of the given inferences, if any, follow from the given statement.

Statement I: Classical Indian logicians (Naiyāyikas) define Upamāna (Comparison) as the cognition of the new object through similarity, known by another means of cognition. 

Statement II: Naiyāyikas consider upamāna as a type of inductive reasoning and therefore view it as a type of inference (anumāna) only.