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,$$\frac{444 \times 555 \times 666}{33}$$ $$= \frac{15 \times 27 \times 6}{33}$$ $$= \frac{27 \times 90}{33} = \frac{27 \times 24}{33}$$ $$= \frac{648}{33} = 21 \ (Remainder)$$