Number System

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Q1. What is 1/3 of 9?

Solution:

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

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Q2. If a number is divisible by 9, which of the following must also be true?

Solution:

Any number divisible by 9 is also divisible by 3.

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Q3. Which of the following numbers is both prime and odd?

Solution:

5 is a prime number and it is odd.

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Q4. Which of the following numbers is neither prime nor composite?

Solution:

1 is neither prime nor composite.

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Q5. What is the sum of all factors of 12?

Solution:

Factors of 12 are 1, 2, 3, 4, 6, 12. Their sum is 28.

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Q6. What is 7/10 as a decimal?

Solution:

7/10 = 0.7.

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Q7. How many composite numbers are there between 1 and 10?

Solution:

There are 4 composite numbers between 1 and 10: 4, 6, 8, 9, 10.

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Q8. What is 7/10 - 3/5?

Solution:

7/10 - 3/5 = 7/10 - 6/10 = 1/10.

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Q9. If a number is a multiple of both 5 and 7, what is the smallest such number?

Solution:

The smallest multiple of both 5 and 7 is 35.

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Q10. Which of the following numbers is a multiple of 9?

Solution:

27 is a multiple of 9 because 9 × 3 = 27.