$CATEGORY: Maths - TicTacLearn/1. Real Numbers/1. Real Numbers--The Fundamental Theorem of Arithmetic

//Multiple Choice

The product of two positive integers and the product of their LCM and HCF is always {
= Same
~ Different
~ Sometimes same, sometimes different
~ None of the above
}

The smallest positive integer that is a  multiple of both a and b is called ? {
~ HCF
= LCM
~ HCF× LCM
~ None of the above
}

The largest positive  integer that is a factor of both a and b is called {
~ LCM
= HCF
~ LCM and HCF
~ None of the above
}

What is the product of the smallest powers of common factors in prime factorisation of a and b called? {
= HCF
~ LCM
~ Real Number
~ None of the above
}

What is the product of the highest powers of each prime factor involved in a and b called? {
~ HCF
= LCM
~ Irrational Number
~ None of the above
}

//True or False

The HCF  of 96 and 404 is Four {T}

Numbers that are not real numbers are called imaginary numbers or non-real numbers. {T}

The HCF  of 16 and 10 is 1 {F}

The LCM  of 3 and 27 using prime factorization method is 3 {F}

Is  177 a prime number? {F}

Is 1  a composite number? {F}

The prime factorisation of 252 is \(2^2×3^3×7\) {F}

5 × 33 is the prime factorisation of 165 {F}

//Numericals

Find out the LCM of 4 and 12 using the prime factorisation method. {
= 12
~ 4
~ 8
~ None of the above
}

The LCM(12, 7) × HCF(12, 7) \= Product(12, 7). {
= True
~ False
~ Cannot be determined
~ None of the above
}

Find HCF of 24 and 36 {
= 12
~ 3
~ 9
~ None of the above
}

//Fill in the blanks

.___ is the LCM of 54 and 60 using the prime factorisation method. is {
~ 546
~ 600
= 540
~ None of the above
}

. _____ is the LCM of  25, 30, 35, 40 {
= 4,200
~ 4,000
~ 4,500
~ None of the above
}

_____ is the LCM of two  co-prime numbers. {
~ Whole number
~ Prime number
= Composite number
~ None of the above
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=HCF of 18 and 24 ->  4
=LCM of 15 and 20 ->  50
=HCF of 36 and 48 ->  12
=HCF  of 56 and 72 -> 12
}

Match the following items from Column A with their correct corresponding options from Column B\:
{
=HCF of 56, 98, and 126 -> 18
=H.C.F of 56, 70, and 84 -> 28
=HCF of 42 and 63 -> 21
=HCF of 72, 120, and 144 -> 24
}

//******** END **********