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.