Advertisements
Advertisements
प्रश्न
Rewrite the following statements in the form of conditional statements
The unit digit of an integer is 0 or 5 if it is divisible by 5.
Advertisements
उत्तर
p is sufficient for q ⇒ If an integer is divisible by 5, then its unit digits are 0 or 5.
APPEARS IN
संबंधित प्रश्न
Give three examples of sentences which are not statements. Give reasons for the answers.
Some even integers are prime.
I will not go to school.
Write the negation of the statement:
p : For every positive real number x, the number (x − 1) is also positive.
Find the component statement of the compound statement:
The sky is blue and the grass is green.
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.
Write the negation of statement:
For every x ϵ N, x + 3 < 10
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".
The game is cancelled only if it is raining.
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
t : \[\sqrt{11}\] is a rational number.
Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.
Identify the component statements and the connective in the following compound statements.
It is raining or the sun is shining.
Identify the component statements and the connective in the following compound statements.
2 is a positive number or a negative number.
Write the negation of the following statements:
r: A triangle has four sides.
Rewrite the following statements in the form of conditional statements:
Ramesh will get dessert only if he eats his dinner.
Check the validity of the statements:
r: 100 is a multiple of 4 and 5.
Which of the following is a statement?
The negation of the statement “It is raining and weather is cold.” is ______.
Which of the following sentences are statements? Justify
0 is a complex number.
Find the component statements of the following compound statements.
Chennai is in India and is the capital of Tamil Nadu.
Find the component statements of the following compound statements.
Chandigarh is the capital of Haryana and U.P.
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
2, 3 and 6 are factors of 12
Translate the following statements into symbolic form
Either x or x + 1 is an odd integer.
Write down the negation of following compound statements
x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.
Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.
Identify the Quantifiers in the following statements.
There exists a real number which is not a rational number.
Identify the Quantifiers in the following statements.
There exists a statement in above statements which is not true.
Identify the Quantifiers in the following statements.
There exists a even prime number other than 2.
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.
The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.
The negation of the statement “Plants take in CO2 and give out O2 ” is ______.
The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.
State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?
