मराठी

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.

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.

बेरीज
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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Solved Examples [पृष्ठ २५७]

APPEARS IN

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

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Show that the statement “For any real numbers a and b, a2 = b2 implies that a = b” is not true by giving a counter-example.


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

 x2 + 5 | x | + 6 = 0 has no real roots.


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

 This sentence is a statement.


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.

 The real number x is less than 2.


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

All real numbers are complex numbers.


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

The product of (−1) and 8 is 8.

 

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


For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 To apply for a driving licence, you should have a ration card or a passport.

 

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


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

There is traffic jam whenever it rains.


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.


Translate the following statements in symbolic form

2 and 3 are prime numbers 


Rewrite the following statements in the form of conditional statements:

A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.


Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4


Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day


Which of the following sentences are statements? Justify

0 is a complex number.


Which of the following sentences are statements? Justify

Sum of opposite angles of a cyclic quadrilateral is 180°.


Which of the following sentences are statements? Justify

sin2x + cos2x = 0


Find the component statements of the following compound statements.

The number 100 is divisible by 3, 11 and 5.


Find the component statements of the following compound statements.

0 is less than every positive integer and every negative integer.


Translate the following statements into symbolic form

x and y are even integers.


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

All prime integers are either even or odd.


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: A natural number n is odd.
q: Natural number n is not divisible by 2.


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.

For all real numbers x with x > 3, x 2 is greater than 9.


Identify the Quantifiers in the following statements.

There exists a real number x such that x2 + 1 = 0.


Check the validity of the following statement.
q: 131 is a multiple of 3 or 11


Which of the following is a statement?


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 “A circle is an ellipse” is ______.


The negation of the statement “Plants take in CO2 and give out O2 ” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×