# Number System Aptitude Questions and tricks:

#### 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 remainder of the expression $$\frac{12 \times 14 \times 16}{5}$$?

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

Answer: (b) $$3$$

Solution: According to basic remainder theorem,$$\frac{12 \times 14 \times 16}{5}$$ $$= \frac{2 \times 4 \times 1}{5} = \frac{8}{5} = 3 \ (Remainder)$$

1. Find the remainder of the expression $$\frac{22 \times 25 \times 28}{9}$$?

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

Answer: (a) $$1$$

Solution: According to basic remainder theorem,$$\frac{22 \times 25 \times 28}{9}$$ $$= \frac{4 \times 7 \times 1}{9} = \frac{28}{9} = 1 \ (Remainder)$$

1. Find the remainder of the expression $$\frac{11 \times 13 \times 15}{6}$$?

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

Answer: (c) $$3$$

Solution: According to basic remainder theorem,$$\frac{11 \times 13 \times 15}{6}$$ $$= \frac{5 \times 1 \times 3}{6} = \frac{15}{6} = 3 \ (Remainder)$$

1. Find the remainder of the expression $$\frac{5 \times 4 \times 7}{3}$$?

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

Answer: (b) $$2$$

Solution: According to basic remainder theorem,$$\frac{5 \times 4 \times 7}{3}$$ $$= \frac{2 \times 1 \times 1}{3} = \frac{2}{3} = 2 \ (Remainder)$$

1. Find the remainder of the expression $$\frac{25 \times 35 \times 38 \times 42}{8}$$?

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

Answer: (d) $$4$$

Solution: According to basic remainder theorem,$$\frac{25 \times 35 \times 38 \times 42}{8}$$ $$= \frac{1 \times 3 \times 6 \times 2}{8} = \frac{36}{8} = 4 \ (Remainder)$$

1. Find the remainder of the expression $$\frac{125 \times 135}{20}$$?

1. $$15$$
2. $$10$$
3. $$5$$
4. $$12$$

Answer: (a) $$15$$

Solution: According to basic remainder theorem,$$\frac{125 \times 135}{20}$$ $$= \frac{5 \times 15}{20} = \frac{75}{20} = 15 \ (Remainder)$$

1. Find the remainder of the expression $$\frac{41 \times 121 \times 215}{25}$$?

1. $$10$$
2. $$14$$
3. $$15$$
4. $$16$$

Answer: (c) $$15$$

Solution: According to basic remainder theorem,$$\frac{41 \times 121 \times 215}{25}$$ $$= \frac{16 \times 21 \times 15}{25}$$ $$= \frac{240 \times 21}{25} = \frac{15 \times 21}{25}$$ $$= \frac{315}{25} = 15 \ (Remainder)$$

1. Find the remainder of the expression $$\frac{314 \times 333 \times 342}{42}$$?

1. $$12$$
2. $$18$$
3. $$20$$
4. $$16$$

Answer: (b) $$18$$

Solution: According to basic remainder theorem,$$\frac{314 \times 333 \times 342}{42}$$ $$= \frac{20 \times 39 \times 6}{42}$$ $$= \frac{39 \times 120}{42} = \frac{39 \times 36}{42}$$ $$= \frac{1404}{42} = 18 \ (Remainder)$$

1. Find the remainder of the expression $$\frac{342 \times 445}{52}$$?

1. $$18$$
2. $$24$$
3. $$36$$
4. $$38$$

Answer: (d) $$38$$

Solution: According to basic remainder theorem,$$\frac{342 \times 445}{52}$$ $$= \frac{30 \times 29}{52} = \frac{870}{52} = 38 \ (Remainder)$$

1. Find the remainder of the expression $$\frac{444 \times 555 \times 666}{33}$$?

1. $$15$$
2. $$20$$
3. $$18$$
4. $$21$$

Answer: (d) $$21$$

Solution: According to basic remainder theorem,$$\frac{444 \times 555 \times 666}{33}$$ $$= \frac{15 \times 27 \times 6}{33}$$ $$= \frac{27 \times 90}{33} = \frac{27 \times 24}{33}$$ $$= \frac{648}{33} = 21 \ (Remainder)$$