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
The value of \({\left\{ {5{{\left( {{8^{{1 \over 3}}} + {{27}^{{1 \over 3}}}} \right)}^3}} \right\}^{{1 \over 4}}}\) is
  • A
    8
  • B
    1
  • C
    27
  • D
    5
    Correct
2
\(\sqrt 8 + 2\sqrt {32} - 5\sqrt 2 \) is equal to
  • A
    none of these
  • B
    \(5\sqrt 2 \)
    Correct
  • C
    \(\sqrt {32} \)
  • D
    \(\sqrt 8 \)
3
If \(x = 3 + 2\sqrt 2 \), then the value of \(x + {1 \over x}\) is
  • A
    0
  • B
    3
  • C
    6
    Correct
  • D
    1
4
The value of \({(0.00032)^{{{ - 2} \over 5}}}\) is
  • A
    5
  • B
    1
  • C
    25
    Correct
  • D
    0
5
The value of \({{{9^{{1 \over 3}}} \times {{27}^{{1 \over 2}}}} \over {{3^{{{ - 1} \over 6}}} \times {3^{{1 \over 3}}}}}\) is
  • A
    3
  • B
    9
    Correct
  • C
    1
  • D
    27
6
The value of \({(32)^{{1 \over 5}}} + {( - 7)^0} + {(64)^{{1 \over 2}}}\) is
  • A
    10
  • B
    11
    Correct
  • C
    1
  • D
    0
7
The value of \({{{x^{a(b - c)}}} \over {{x^{b(a - c)}}}} \div {\left( {{{{x^b}} \over {{x^a}}}} \right)^c}\) is
  • A
    1
    Correct
  • B
    3
  • C
    2
  • D
    4
8
The value of \({\left( {{{{{12}^{{1 \over 5}}}} \over {{{27}^{{1 \over 5}}}}}} \right)^{{5 \over 2}}}\)
  • A
    none of these
  • B
    \({{12} \over {27}}\)
  • C
    \({4 \over 9}\)
  • D
    \({2 \over 3}\)
    Correct
9
The value of \({\left( {{x^{a - b}}} \right)^{a + b}} \times {\left( {{x^{b - c}}} \right)^{b + c}} \times {\left( {{x^{c - a}}} \right)^{c + a}}\) is
  • A
    1
    Correct
  • B
    0
  • C
    3
  • D
    2
10
The value of \({\left( {{{{x^l}} \over {{x^m}}}} \right)^{{1 \over {lm}}}} \times {\left( {{{{x^m}} \over {{x^n}}}} \right)^{{1 \over {mn}}}} \times {\left( {{{{x^n}} \over {{x^l}}}} \right)^{{1 \over {nl}}}}\) is
  • A
    0
  • B
    4
  • C
    1
    Correct
  • D
    2
11
If a = 2, b = 3, then the value of \({\left( {{a^b} + {b^a}} \right)^{ - 1}}\) is
  • A
    \({1 \over {16}}\)
  • B
    \({1 \over {18}}\)
  • C
    \({1 \over {15}}\)
  • D
    \({1 \over {17}}\)
    Correct
12
The value of \({\left( {{{{x^b}} \over {{x^c}}}} \right)^{(b + c - a)}} \times {\left( {{{{x^c}} \over {{x^a}}}} \right)^{(c + a - b)}} \times {\left( {{{{x^a}} \over {{x^b}}}} \right)^{(a + b - c)}}\) is
  • A
    1
    Correct
  • B
    4
  • C
    0
  • D
    2
13
If \(a = 7 - 4\sqrt 3 \) , then the value of \(\sqrt a + {1 \over {\sqrt a }}\) is
  • A
    2
  • B
    4
    Correct
  • C
    8
  • D
    1
14
Which of the following is an irrational number?
  • A
    \({{\sqrt {20} } \over {\sqrt 5 }}\)
  • B
    \(\sqrt {64} \)
  • C
    \(\sqrt {{4 \over 9}} \)
  • D
    \(\sqrt 7 \)
    Correct
15
Every rational number is
  • A
    a whole number
  • B
    a real number
    Correct
  • C
    a natural number
  • D
    an integer