Write down the converse of each of the following statements:
i. If p is a prime number and a and b are any two natural numbers and if p divides a or b, then p divides ab.
ii. In a triangle , if
, then
.
The converse of a conditional statement is obtained by interchanging the hypothesis and the conclusion. For statement (i), the given statement says ______ __________ _____ ___ ____ ___.
__________ ___ _____ _____ _________ ___ ____ ________.
___ _______ _____ ______ _______.
______ _______ __________ _____ ________ _________.
_________ _______ ___ ____ _____ _________ ________ ___.
_________ _________ _______ ______ ______ ______ ______ ______.
__________ __________ ________ _____ ____ _______ _________ _________ _____ ___.
_______ _________ __________ __________ _____ ______ __________ _________.
____ ______ ____ _____ ________ ______ ____ ___ ______ __________ ______ _____.
_____ _________ _____ ______ _________.
____ ___ ______ _________ ___ ____ ______ ___ __________.
_______ ___ _________ _________ ________ ___ _________ _________.
_________ ____ ________ ___ __________ _______ __________.
_______ ____ __________ _________ ________ _______ _____ ___ _____ _________.
________ ___ ______ _____.
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If p and q are any statements, show that the statement
is a tautology.
A typical number plate for a four-wheeler in Delhi looks like DL3AXC4126, where the first two characters are fixed as DL, the third one is a digit, then the next three characters are letters, and finally the last four characters are digits. How many number plates in Delhi can be registered with this pattern?
बैल संख्याएँ B6 और B7 ज्ञात कीजिए।
कथनों '2+3=5' और 'सूरज पश्चिम में उगता है।' पर विचार कीजिए।
i) कथनों का वियोजन लिखिए और इसका सत्य मान बताइए।
ii) कथनों का योग लिखिए और इसका सत्य मान बताइए।
iii) कथनों का अपवर्जी वियोजन लिखिए और इसका सत्य मान बताइए।
Write the expression in conjunction normal form and disjunctive normal form.
Draw the Ferrar graph of the partition . Also, write down the conjugate partition of this partition.
From a survey of 120 people, the following data was obtained:
90 owned a car, 35 owned a computer, 40 owned a house, 32 owned a car and a house, 21 owned a house and a computer, 26 owned a car and a computer, 17 owned all the three facilities.
i. How many people owned neither of the three.
ii. How many people owned only a car?
iii. How many people owned only a computer?