Question : The highest common factor and the least common multiple of the two numbers are 12 and 120, respectively. If one of the numbers is 60, then what will be the other number?
Option 1: 12
Option 2: 18
Option 3: 20
Option 4: 24
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Correct Answer: 24
Solution : HCF = 12 LCM = 120 One number = 60 Let $x$ be the second number. We know that HCF × LCM = product of two numbers ⇒ 12 × 120 = 60 × $x$ ⇒ $x$ = $\frac{12 × 120}{60}$ = 24 Hence, the correct answer is 24.
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Question : The product of the two numbers is 38025 and their highest common factor is 65. What is the least common multiple of these numbers?
Option 1: 455
Option 2: 585
Option 3: 715
Option 4: 435
Question : What will be the ratio of the Least Common Multiple and Highest Common Factor of 12, 24, and 36?
Option 1: 3 : 1
Option 2: 4 : 1
Option 3: 6 : 1
Option 4: 2 : 1
Question : If K1 and K2 are two distinct prime numbers, then what is the product of the highest common factor and the least common multiple of K1 and K2?
Option 1: $1$
Option 2: $\frac{K1}{K2}$
Option 3: $K1 + K2$
Option 4: $K1 × K2$
Question : There is a ratio of 5 : 4 between the two numbers. If 40 percent of the first number is 12, then 50% of the second number is:
Option 2: 24
Option 3: 18
Option 4: 20
Question : What is the Least Common Multiple of 10,12, and 15?
Option 1: 120
Option 2: 180
Option 3: 60
Option 4: 30
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