हिंदी

Find the component statements of the following compound statements. The number 100 is divisible by 3, 11 and 5.

Advertisements
Advertisements

प्रश्न

Find the component statements of the following compound statements.

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

योग
Advertisements

उत्तर

p: 100 is divisible by 3.

q: 100 is divisible by 11.

r: 100 is divisible by 5.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६२]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 2.(iii) | पृष्ठ २६२

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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.

 Are all circles round?


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

 All triangles have three sides.


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.

Is the earth round?


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

 The real number x is less than 2.


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


Are the pair of statement are negation of each other:

 The number x is not a rational number.
The number is an irrational number.


Write the negation of the statement:

 p : For every positive real number x, the number (x − 1) is also positive.

 


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:

All rational numbers are real and all real numbers are complex.


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.


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:

The sand heats up quickly in the sun and does not cool down fast at night.

 

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 India and 2 + 2 = 5.


Negate  statement:
 All the students completed their homework.


Translate the following statements in symbolic form

Tigers are found in Gir forest or Rajaji national park.


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


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.


Which of the following sentences are statements? Justify

15 + 8 > 23


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.

`sqrt(7)` is a rational number or an irrational number.


Find the component statements of the following compound statements.

A rectangle is a quadrilateral or a 5-sided polygon.


Translate the following statements into symbolic form

Rahul passed in Hindi and English.


Write down the negation of following compound statements

All rational numbers are real and complex.


Write down the negation of following compound statements

|x| is equal to either x or – x.


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


Rewrite the following statements in the form of conditional statements

You will get a sweet dish after the dinner.


Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.


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 “Plants take in CO2 and give out O2 ” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×