3 StatementsCAT Previous-Year Questions

3 previous-year questions on 3 Statements from CAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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3 questions

3 Statements · CAT PYQs

CAT 2002 · DILR
Passage / Data

Answer the following question based on the information given below.

    A causes B or C, but not both.    
    F occurs only if B occurs.
    D occurs if B or C occurs.
    E occurs only if C occurs.
    J occurs only if E or F occurs.
    D causes G or H or both.
    H occurs if E occurs.
    G occurs if F occurs.

Q1.

If A occurs, which may occur?

I. F and G                   
II. E and H                   
III. D

CAT 2002 · DILR
Passage / Data

Answer the following question based on the information given below.

    A causes B or C, but not both.    
    F occurs only if B occurs.
    D occurs if B or C occurs.
    E occurs only if C occurs.
    J occurs only if E or F occurs.
    D causes G or H or both.
    H occurs if E occurs.
    G occurs if F occurs.

Q2.

Which of these may occur as a result of a cause not mentioned?

CAT 1998 · DILR
Passage / Data

Direction: Answer the question based on the following information.

The following operations are defined for real numbers.
a # b = a + b, if a and b both are positive else a # b = 1
a ∇ b = (a × b)a + b if a × b is positive else a ∇ b = 1.

Q3.

P, Q, R and S are four statements. Relation between these statements is as follows.

I. If P is true, then Q must be true.
II. If Q is true, then R must be true.
III. If S is true, then either Q is false or R is false.

Which of the following must be true?