Question : The HCF and LCM of the two numbers are 20 and 2880, respectively. If one of them is 180, then find the other number.
Option 1: 660
Option 2: 350
Option 3: 300
Option 4: 320
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Correct Answer: 320
Solution : Given number = 180 HCF = 20 and LCM = 2880 We know the multiplication of two numbers = LCM × HCF ⇒ 180 × Second number = 20 × 2880 $\therefore$ Second number = 2 × 160 = 320 Hence, the correct answer is 320.
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Question : The LCM of the two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the numbers is 100, then the other number is:
Option 1: 5
Option 2: 25
Option 3: 100
Option 4: 125
Question : The product of LCM and HCF of two numbers is 2028. If one number is 78, then what is the other number?
Option 1: 13
Option 2: 52
Option 3: 26
Option 4: 39
Question : If the LCM of two numbers 260 and 390 is 780, then find the HCF.
Option 1: 140
Option 2: 133
Option 3: 130
Option 4: 120
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
Question : The ratio of the LCM of two numbers to the sum of the same two numbers is 12 : 7. If their HCF is 4, what is the product of these two numbers?
Option 1: 192
Option 2: 172
Option 3: 196
Option 4: 169
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