Number Systems CBSE Questions & Answers

Number Systems

This is Mathematics Class 09 Number Systems CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Which of the following is an irrational number?
  • A
    \(2.7\overline {17} \)
  • B
    2.717
  • C
    2.717171717171………
  • D
    2.717117111711117…………
    Correct
2
Which of the following is an rational number?
  • A
    \(\sqrt {31} \)
  • B
    0.323223222322223…….
  • C
    \(\sqrt {180} \)
  • D
    \(\sqrt {196} \)
    Correct
3
Every rational number is
  • A
    a real number
    Correct
  • B
    an integer
  • C
    a natural number
  • D
    a whole number
4
The decimal representation of a rational number is
  • A
    always non-terminating
  • B
    either terminating or repeating
    Correct
  • C
    either terminating or non-repeating
  • D
    always terminating
5
The decimal representation of an irrational number is
  • A
    either terminating or non-repeating
  • B
    always terminating
  • C
    always non-terminating
  • D
    neither terminating nor repeating
    Correct
6
Between any two rational numbers there
  • A
    are many rational numbers
    Correct
  • B
    is no irrational number
  • C
    are exactly two rational numbers
  • D
    is no rational number
7
The product of two irrational numbers is
  • A
    always irrational
  • B
    always an integer
  • C
    either irrational or rational
    Correct
  • D
    always rational
8
The sum of two irrational numbers is
  • A
    always irrational
  • B
    either irrational or rational
    Correct
  • C
    always rational
  • D
    always an integer
9
The difference of two irrational numbers is
  • A
    always an integer
  • B
    either irrational or rational
    Correct
  • C
    always rational
  • D
    always irrational
10
Which of the following is a true statement?
  • A
    \(\pi \) is rational and \({{22} \over 7}\) is rational
  • B
    \(\pi \) is rational and \({{22} \over 7}\) is irrational
  • C
    \(\pi \) is irrational and \({{22} \over 7}\) is irrational
  • D
    \(\pi \) is irrational and \({{22} \over 7}\) is rational
    Correct
11
A rational number between \(\sqrt 3 \) and \(\sqrt 5 \) is
  • A
    2.1
    Correct
  • B
    \({1 \over 2}(\sqrt 3 + \sqrt 5 )\)
  • C
    3.1
  • D
    \({1 \over 2}(\sqrt 3 - \sqrt 5 )\)
12
\({(1296)^{{{ - 1} \over 4}}}\)=
  • A
    6
  • B
    \( - {1 \over 6}\)
  • C
    \({1 \over 6}\)
    Correct
  • D
    -6
13
\(\sqrt {12} \times \sqrt {15} \) =
  • A
    5
  • B
    \(5\sqrt 6 \)
  • C
    6
  • D
    \(6\sqrt 5 \)
    Correct
14
\({(625)^{0.16}} \times {(625)^{0.09}}\) =
  • A
    125
  • B
    625
  • C
    5
    Correct
  • D
    25
15
If \(\sqrt 5 = 2.236\), then \({1 \over {\sqrt 5 }}\) =
  • A
    0.4472
    Correct
  • B
    0.04472
  • C
    4.472
  • D
    44.72