Advertisements
Advertisements
प्रश्न
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.
विकल्प
True
False
Advertisements
उत्तर
This statement is True.
Explanation:
Here, the given statement is of the form p ∧ q which has the truth value T whenever both p and q have the truth value T.
Hence, it is a true statement and its component statements are:
p: 24 is a multiple of 4. ......(True)
q: 24 is a multiple of 6. ......(True)
APPEARS IN
संबंधित प्रश्न
By giving a counter example, show that the following statements are not true.
q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2.
Find out the following sentence is a statement and is not. Justify your answer.
Listen to me, Ravi !
Find out the sentence are statement and are not. Justify your answer.
Every set is a finite set.
Find out the sentence are statement and are not. Justify your answer.
Is the earth round?
Find out the sentence are statement and are not. Justify your answer.
Mathematics is difficult.
Give three examples of sentences which are not statements. Give reasons for the answers.
There is a complex number which is not a real number.
All policemen are thieves.
Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
There exist real numbers a and b for which a + b = b + a.
For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
To entry a country, you need a passport or a voter registration card.
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 = 4.
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 =5.
Negate of the statement :
There exists a number which is equal to its square.
Write of the statement in the form "if p, then q".
It is necessary to have a passport to log on to the server.
Check the validity of the statement:
p : 100 is a multiple of 4 and 5.
Translate the following statements in symbolic form
Tigers are found in Gir forest or Rajaji national park.
Rewrite the following statements in the form of conditional statements:
Mohan will be a good student if he studies hard.
Rewrite the following statements in the form of conditional statements:
Ramesh will get dessert only if he eats his dinner.
Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.
Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.
Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.
The negation of the statement “It is raining and weather is cold.” is ______.
Which of the following sentences are statements? Justify
Every set is an infinite set.
Find the component statements of the following compound statements.
Number 7 is prime and odd.
Find the component statements of the following compound statements.
Chandigarh is the capital of Haryana and U.P.
Find the component statements of the following compound statements.
0 is less than every positive integer and every negative integer.
Find the component statements of the following compound statements.
Two lines in a plane either intersect at one point or they are parallel.
Translate the following statements into symbolic form
Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
Translate the following statements into symbolic form
Students can take Hindi or English as an optional paper.
Write down the negation of following compound statements
A triangle has either 3-sides or 4-sides.
Write down the negation of following compound statements
35 is a prime number or a composite number
Rewrite the following statements in the form of conditional statements
You will get a sweet dish after the dinner.
Rewrite the following statements in the form of conditional statements
You will fail, if you will not study.
Rewrite the following statements in the form of conditional statements
2b = a + c, if a, b and c are in A.P.
Identify the Quantifiers in the following statements.
For all negative integers x, x 3 is also a negative integers.
Identify the Quantifiers in the following statements.
There exists a real number x such that x2 + 1 = 0.
