Question : What will be the HCF of the following set of numbers: 30, 45, and 150?
Option 1: 16
Option 2: 15
Option 3: 30
Option 4: 20
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Correct Answer: 15
Solution : 30 = 2 × 3 × 5 45 = 3 × 3 × 5 150 = 2 × 3 × 5 × 5 So, HCF of 30, 45 and 150 = 3 × 5 = 15 Hence, the correct answer is 15.
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Question : The average of 20 numbers is 30 and that of the other 30 numbers is 50. What is the average of all the numbers?
Option 1: 42
Option 2: 47
Option 3: 44
Option 4: 45
Question : What is the third proportion of the numbers 15 and 30?
Option 1: 45
Option 2: 50
Option 3: 40
Option 4: 60
Question : HCF of $\frac{3}{4},\frac{15}{16}$, and $\frac{18}{5}$ is:
Option 1: $\frac{3}{80}$
Option 2: $\frac{18}{5}$
Option 3: $\frac{5}{16}$
Option 4: $\frac{15}{16}$
Question : The sum of the two numbers is 45. Their HCF and LCM are 5 and 70 respectively. Find the sum of the reciprocal of the two numbers.
Option 1: $\frac{9}{70}$
Option 2: $\frac{3}{140}$
Option 3: $\frac{4}{35}$
Option 4: $\frac{3}{16}$
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