Question : The HCF of two numbers 960 and 1020 is:
Option 1: 40
Option 2: 120
Option 3: 60
Option 4: 80
Correct Answer: 60
Solution : Factors of 960 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 Factors of 1020 = 2 × 2 × 3 × 5 × 17 $\therefore$ HCF of 960 and 1020 = 2 × 2 × 3 × 5 = 60 Hence, the correct answer is 60.
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Question : The ratio of the two numbers is 4 : 5, and their HCF is 3. What is their LCM?
Option 1: 48
Option 2: 80
Option 4: 36
Question : The LCM and HCF of the two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.
Option 1: 65 and 85
Option 2: 55 and 85
Option 3: 65 and 75
Option 4: 60 and 80
Question : Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:
Option 1: 60
Option 2: 105
Option 3: 15
Option 4: 45
Question : If the sum of two numbers is 60 and their HCF and LCM are 5 and 60, respectively, then the sum of the reciprocals of the numbers will be:
Option 1: $\frac{1}{11}$
Option 2: $\frac{1}{6}$
Option 3: $\frac{1}{4}$
Option 4: $\frac{1}{5}$
Question : If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.
Option 1: 30
Option 2: 25
Option 4: 4
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