Which of the following statement is correct?Statement 1: The HCF and L

1.	Which of the following statement is correct?Statement 1: The HCF and LCM of numbers cannot be equal to each otherStatement 2: Remainder is always less than or equal to divisor1. Only 12. Only 23. Both 1 and 24. Neither 1 nor 2
Answer» Correct Answer - Option 1 : Only 1 Given: Two statements are given Concept Used: Basic of number system Calculation: Consider the first statement; the HCF and LCM of two numbers are equal only if the number is equal to each other ∴ The HCF and LCM of numbers cannot be equal to each other So, statement 1 is correct Now, Consider the second statement, Remainder is always less than to divisor According to Euclid’s lemma the reminder is always less than divisor but greater than or equal to zero ∴ Statement 2 is incorrect Hence, option (1) is correct

Which of the following statement is correct?Statement 1: The HCF and LCM of numbers cannot be equal to each otherStatement 2: Remainder is always less than or equal to divisor1. Only 12. Only 23. Both 1 and 24. Neither 1 nor 2

Answer» Correct Answer - Option 1 : Only 1

Given:

Two statements are given

Concept Used:

Basic of number system

Calculation:

Consider the first statement; the HCF and LCM of two numbers are equal only if the number is equal to each other

∴ The HCF and LCM of numbers cannot be equal to each other

So, statement 1 is correct

Now, Consider the second statement, Remainder is always less than to divisor

According to Euclid’s lemma the reminder is always less than divisor but greater than or equal to zero

∴ Statement 2 is incorrect

Hence, option (1) is correct

Discussion

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