# Number System Aptitude Questions and Answers:

#### Overview:

 Questions and Answers Type: MCQ (Multiple Choice Questions). Main Topic: Quantitative Aptitude. Quantitative Aptitude Sub-topic: Number System Aptitude Questions and Answers. Number of Questions: 10 Questions with Solutions.

1. Find the factors of composite number $$500$$?

1. $$12$$
2. $$6$$
3. $$9$$
4. $$10$$

Answer: (a) $$12$$

Solution: $$500 = 2 \times 2 \times 5 \times 5 \times 5 = 2^2 \times 5^3$$

$$factors \ of \ composite \ number$$

$$= (2 + 1) \ (3 + 1) = 3 \times 4 = 12$$

1. Find the factors of composite number $$300$$?

1. $$12$$
2. $$18$$
3. $$14$$
4. $$10$$

Answer: (b) $$18$$

Solution: $$300 = 2 \times 2 \times 3 \times 5 \times 5 = 2^2 \times 3^1 \times 5^2$$

$$factors \ of \ composite \ number$$

$$= (2 + 1) \ (1 + 1) \ (2 + 1) = 3 \times 2 \times 3 = 18$$

1. Find the factors of composite number $$700$$?

1. $$16$$
2. $$20$$
3. $$19$$
4. $$18$$

Answer: (d) $$18$$

Solution: $$700 = 2 \times 2 \times 5 \times 5 \times 7 = 2^2 \times 5^2 \times 7^1$$

$$factors \ of \ composite \ number$$

$$= (2 + 1) \ (2 + 1) \ (1 + 1) = 3 \times 3 \times 2 = 18$$

1. Find the factors of composite number $$450$$?

1. $$18$$
2. $$16$$
3. $$19$$
4. $$15$$

Answer: (a) $$18$$

Solution: $$450 = 2 \times 3 \times 3 \times 5 \times 5 = 2^1 \times 3^2 \times 5^2$$

$$factors \ of \ composite \ number$$

$$= (1 + 1) \ (2 + 1) \ (2 + 1) = 2 \times 3 \times 3 = 18$$

1. Find the factors of composite number $$600$$?

1. $$20$$
2. $$26$$
3. $$24$$
4. $$28$$

Answer: (c) $$24$$

Solution: $$600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5 = 2^3 \times 3^1 \times 5^2$$

$$factors \ of \ composite \ number$$

$$= (3 + 1) \ (1 + 1) \ (2 + 1) = 4 \times 2 \times 3 = 24$$

1. Find all the factors of composite number $$1610$$?

1. $$15$$
2. $$16$$
3. $$18$$
4. $$12$$

Answer: (b) $$16$$

Solution: $$1610 = 2 \times 5 \times 7 \times 23 = 2^1 \times 5^1 \times 7^1 \times 23^1$$

$$factors \ of \ composite \ number$$

$$= (1 + 1) \ (1 + 1) \ (1 + 1) \ (1 + 1)$$

$$= 2 \times 2 \times 2 \times 2 = 16$$

1. Find the factors of composite number $$1830$$?

1. $$10$$
2. $$14$$
3. $$12$$
4. $$16$$

Answer: (d) $$16$$

Solution: $$1830 = 2 \times 3 \times 5 \times 61 = 2^1 \times 3^1 \times 5^1 \times 61^1$$

$$factors \ of \ composite \ number$$

$$= (1 + 1) \ (1 + 1) \ (1 + 1) \ (1 + 1)$$

$$= 2 \times 2 \times 2 \times 2 = 16$$

1. Find the factors of composite number $$19$$?

1. $$4$$
2. $$3$$
3. $$2$$
4. $$1$$

Answer: (c) $$2$$

Solution: $$19$$ is a prime number and any prime number have only two factors $$1$$ and itself.

1. Find all the factors of composite number $$4000$$?

1. $$18$$
2. $$24$$
3. $$26$$
4. $$16$$

Answer: (b) $$24$$

Solution: $$4000$$

$$= 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5$$

$$= 2^5 \times 5^3$$

$$factors \ of \ composite \ number$$

$$= (5 + 1) \ (3 + 1) = 6 \times 4 = 24$$

1. Find the factors of composite number $$29$$?

1. $$5$$
2. $$3$$
3. $$1$$
4. $$2$$

Answer: (d) $$2$$

Solution: $$29$$ is a prime number and any prime number have only two factors $$1$$ and itself.