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प्रश्न
Which of the following statements are compound statements
“Ram and Rahim are friends”
उत्तर
The given statement can not be broken into two simple statements and hence it is not a compound statement.
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संबंधित प्रश्न
Show that the statement
p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by
(i) direct method
(ii) method of contradiction
(iii) method of contrapositive
By giving a counter example, show that the following statements are not true.
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The cat pussy is black.
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It rained on July 4, 2005.
I will not go to school.
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The sand heats up quickly in the sun and does not cool down fast at night.
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Delhi is in India and 2 + 2 = 4.
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q : 125 is a multiple of 5 and 7.
statement are true and false? In each case give a valid reason for saying so
p : Each radius of a circle is a chord of the circle.
statement are true and false? In each case give a valid reason for saying so
q : The centre of a circle bisects each chord of the circle.
statement are true and false? In each case give a valid reason for saying so
s : If x and y are integers such that x > y, then − x < − y.
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2 is a positive number or a negative number.
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x + y = y + x and 29 is a prime number.
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Mohan will be a good student if he studies hard.
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If x = 7 and y = 4” then x + y = 11.
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Which of the following is a statement?
Which of the following sentences are statements? Justify
Where is your bag?
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The number 100 is divisible by 3, 11 and 5.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
24 is a multiple of 4 and 6.
Translate the following statements into symbolic form
Either x or x + 1 is an odd integer.
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All prime integers are either even or odd.
Rewrite the following statements in the form of conditional statements
You will get a sweet dish after the dinner.
Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.
Which of the following is a statement?
