Question : Two numbers are in the ratio of 3 : 5. If their HCF is 8, then find the numbers.
Option 1: 36 and 60
Option 2: 12 and 20
Option 3: 48 and 80
Option 4: 24 and 40
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Correct Answer: 24 and 40
Solution : The two numbers are in the ratio 3 : 5 and their highest common factor (HCF) is 8. The numbers are obtained by multiplying the HCF with the ratio values. So, the numbers are: First number = 3 × HCF = 3 × 8 = 24 Second number = 5 × HCF = 5 × 8 = 40 Hence, the correct answer is 24 and 40.
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Question : Two numbers are in the ratio 11 : 6. If their HCF is 4, find the smallest number.
Option 1: 30
Option 2: 18
Option 3: 24
Option 4: 12
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 1: 12
Option 2: 24
Option 3: 18
Option 4: 20
Question : The difference between the two numbers is 24 while the sum of those two numbers is 120. Which of the options below can be the ratio of those two numbers?
Option 1: 3 : 5
Option 2: 3 : 2
Option 3: 4 : 5
Option 4: 5 : 8
Question : If LCM of two numbers is 72 and their product is 1728 , then what is the HCF of the numbers?
Option 1: 1
Question : If the ratio of the volumes of two cylinders is 6 : 5 and the ratio of their heights is 5 : 24, then what is the ratio of their radii?
Option 1: 12 : 7
Option 2: 5 : 6
Option 3: 1 : 2
Option 4: 12 : 5
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