The product of two numbers is (15120) and their HCF is (36). If one number is (216), what is the other number?
Answer and explanation
Correct answer: (70)
Step 1: Since the product is directly given, the other number is (15120\div 216). Step 2: (15120\div 216=70). On checking, the HCF of (216) and (70) is (2), so the given HCF (36) is inconsistent. Step 3: In exams, if conditions conflict, first compute the basic quotient and then verify the condition.
Frequently asked questions
What is the correct answer to this question?
(70)
Why is this the correct answer?
Step 1: Since the product is directly given, the other number is (15120\div 216). Step 2: (15120\div 216=70). On checking, the HCF of (216) and (70) is (2), so the given HCF (36) is inconsistent. Step 3: In exams, if conditions conflict, first compute the basic quotient and then verify the condition.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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