हिंदी

Rewrite the following statements in the form of conditional statements: A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder. - Mathematics

Advertisements
Advertisements

प्रश्न

Rewrite the following statements in the form of conditional statements:

A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.

योग
Advertisements

उत्तर

The given statement is of the form “q is necessary for p” where

p: Indian team wins a cricket match

q: The selection committee selects an all-rounder

Which is an equivalent form (Remark (e) 14.1.12) of “if p then q”.

So the equivalent formulation of the given statement is

“If the teams wins a cricket match then selection committee selects an all rounder.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Solved Examples [पृष्ठ २५७]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Solved Examples | Q 8.(iv) | पृष्ठ २५७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Show that the statement

p: “If x is a real number such that x3 + 4= 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.

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.

Two non-empty sets have always a non-empty intersection.


Find out the sentence are statement and are not. Justify your answer.

There are 35 days in a month.


Write the negation of the statement:
Banglore is the capital of Karnataka.


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The earth is round.


There is a complex number which is not a real number.


 I will not go to school.


 Both the diagonals of a rectangle have the same length.


Are the pair of statement are negation of each other:
The number is not a rational number.
The number x is not an irrational number.


Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.


Find the component statement of the compound statement:

The earth is round or the sun is cold.


Write the component statement of the compound statement and check whether the compound statement is true or false:

 Square of an integer is positive or negative.i


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". 

You can access the website only if you pay a subscription fee.

 


Write of the statement in the form "if p, then q". 

 It never rains when it is cold.

 

 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.


Which of the following statements are compound statements 

“9 is neither an even number nor a prime number”


Write the negation of the following statements:
q: 9 is a multiple of 4.


Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.


Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.


Check the validity of the statements:
r: 100 is a multiple of 4 and 5.


Check the validity of the statements:
s: 60 is a multiple of 3 or 5.


Which of the following sentences are statements? Justify

0 is a complex number.


Which of the following sentences are statements? Justify

sin2x + cos2x = 0


Write the component statements of the following compound statements and check whether the compound statement is true or false.

2 is an even number and a prime number.


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 fail, if you will not study.


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.


Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.


Identify the Quantifiers in the following statements.

For all negative integers x, x 3 is also a negative integers.


Which of the following is a statement?


The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.


The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×