Split each of the following into simple sentences and determine whether it is true or false. Also, determine whether an ‘inclusive or’ or ‘exclusive or’ is used. (i)24 is a multiple of 5 or 8.

Home » Split each of the following into simple sentences and determine whether it is true or false. Also, determine whether an ‘inclusive or’ or ‘exclusive or’ is used. (i)24 is a multiple of 5 or 8.

Split each of the following into simple sentences and determine whether it is true or false. Also, determine whether an ‘inclusive or’ or ‘exclusive or’ is used.
(i)24 is a multiple of 5 or 8.

RS Agarwal Maths Class 11 Mathematical Reasoning

Split each of the following into simple sentences and determine whether it is true or false. Also, determine whether an ‘inclusive or’ or ‘exclusive or’ is used.
(i)24 is a multiple of 5 or 8.

p: 24 is a multiple of 5 or 8.
q: 24 is a multiple of 5.
r: 24 is a multiple of 8.
First sentence is FALSE. Second sentence is TRUE.

i

By giving a counter-example, show that the following statement is false : p : If all the sides of a triangle are equal, then the triangle is obtuse angled.

Use contradiction method to prove that :

By giving a counter-example, show that the statement is false :
p : If n is an odd positive integer, then n is prime.

Consider the statement :
q : For any real numbers a and b, a2 = b2⇒ a = b
By giving a counter-example, prove that q is false.

Let p : If x is an integer and x2 is even, then x is even, Using the method of contrapositive, prove that p is true.

← Previous Next →

More Material

In any ΔABC, prove that a 2 sin ( B – C ) = (b2 – c 2 ) sin A

In any ΔABC, prove that a sin A – b sin B = c sin (A – B)

In any ΔABC, prove that Answer :

In any ΔABC, prove that 2(bc cos A + ca cos B + ab cos C) = (a2 + b2 + c2 )

In any ΔABC, prove that Answer :

In any ΔABC, prove that ac cos B – bc cos A = (a2 – b 2 )

In any ΔABC, prove that a(b cos C – c cos B) = (b2 – c 2 )

By giving a counter-example, show that the following statement is false : p : If all the sides of a triangle are equal, then the triangle is obtuse angled.

Use contradiction method to prove that :

By giving a counter-example, show that the statement is false :
p : If n is an odd positive integer, then n is prime.

Consider the statement :
q : For any real numbers a and b, a2 = b2⇒ a = b
By giving a counter-example, prove that q is false.

Let p : If x is an integer and x2 is even, then x is even, Using the method of contrapositive, prove that p is true.

Sign up now and study all subjects for free

Class

Syllabus

Question Papers

Social Media

Apps