Number System

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Q1. Convert 1.25 to a fraction.

Solution:

1.25 = 125/100 = 5/4 after simplification.

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Q2. How many factors does the number 28 have?

Solution:

The factors of 28 are 1, 2, 4, 7, 14, and 28, totaling 6 factors.

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Q3. What is 5/12 - 1/4?

Solution:

5/12 - 1/4 = 5/12 - 3/12 = 2/12 = 1/6.

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Q4. If a number is a multiple of both 5 and 9, what is the smallest such number?

Solution:

The smallest multiple of both 5 and 9 is 45.

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Q5. What is 1/3 of 9?

Solution:

1/3 of 9 = 9 * (1/3) = 3.

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Q6. If a number is multiplied by 3 and then decreased by 5, the result is 16. What is the number?

Solution:

Let the number be x. Then, 3x - 5 = 16. Solving gives x = 7.

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Q7. If 0.6 is expressed as a fraction, what is it?

Solution:

0.6 = 6/10 = 3/5 after simplification.

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Q8. Is 25 a prime number?

Solution:

No, 25 is a composite number because it can be divided by 1, 5, and 25.

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Q9. What is the product of all prime factors of 30?

Solution:

The prime factors of 30 are 2, 3, and 5. Their product is 30.

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Q10. What is 2/5 + 3/10?

Solution:

2/5 + 3/10 = 4/10 + 3/10 = 7/10.