HARD
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If the truth values of statements p,q,r are True, True and False respectively

Statement-1: Statement ~pqp~r~p~q is false.

Statement-2 : For given truth values ~pq is false, p~r  is true, ~p~q is false.

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Important Questions on Mathematical Reasoning

HARD
If p~qpr~pq is false, then the truth values of p, q and r are respectively
MEDIUM
Which of the following is equivalent to the Boolean expression p~q ?
EASY

The figure shows floors as 1,2,3,4 on each plot A,B,C,D,E,F. Plot A,D and E are commercial on all floors. B,C and F are residential on all floors. Find the percentage of total floors that are commercial and residential respectively:

Question Image

MEDIUM
Which of the following compound propositions are tautologies?

(i) P~P~P

(ii) ~QPQ

(iii) QP~PQ

(iv) PPQ
EASY

"Although the State government has been funding College XYZ for the past 10 yr, it has decided not to do so this year."—Local news report

Which ofthefollowing may not be a reasonfor the decision of the government to discontinue the funding of the said college this year?

EASY

The Boolean expression (pq)rqp is equivalent to:

EASY
Show that pq and qp are not equivalent.
MEDIUM
The statement pattern pq~p~q is
EASY
Which of the following is not a logical statement?
MEDIUM

The surface area of earth is 510 million km2. The land area is thirty percent of total surface. Urban land is three percent of total land surface. World population is 7.8 billion and fifty five percent is urban population. Find the closest correct answer.

EASY
If the truth value of the statement p~qr is false F, then the truth values of the statements p,q,r are respectively
EASY

Write the truth values of the following statement:

2+3=5 or2+3=5.

EASY

Write the truth values of the following statement:

2 is a rational number and 2 is an irrational number.

EASY
In a certain code, EAT is written as 318 and CHAIR is written as 24156. What will TEACHER be written as?
MEDIUM
If p is T and q is F, then which of the following have the truth value T?
MEDIUM
The Boolean expression (pq)((~q)p) is equivalent to
MEDIUM
If p and q are true and r and s are false statements, then which of the following is true?
EASY
If pqr is False, then the truth values of p, q, r are respectively, (where T is True and F is False)