Real Numbers Test

Real Numbers

This is Real Numbers Test-06 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The decimal expansion of number \(\frac{{441}}{{{2^2} \times {5^3} \times 7}}\) has
  • A
    non-terminating repeating decimal
    Correct
  • B
    none of these
  • C
    terminating decimal
  • D
    non-terminating and non-repeating decimal
2
0.515115111511115…………. is
  • A
    an irrational number
    Correct
  • B
    an integer
  • C
    a prime number
  • D
    a rational number
3
The decimal expansion of \(\frac{{987}}{{10500}}\) will terminate after
  • A
    3 decimal places
    Correct
  • B
    2 decimal places
  • C
    None of these
  • D
    1 decimal place
4
The decimal expansion of \(\frac{{21}}{{24}}\) will terminate after
  • A
    3 decimal places
    Correct
  • B
    2 decimal places
  • C
    1 decimal place
  • D
    None of these
5
The decimal expansion of \(\frac{{246}}{{{2^7} \times {5^{ - 3}}}}\) terminates after:
  • A
    can’t be determined
  • B
    6 places of decimals
    Correct
  • C
    10 places of decimals
  • D
    7 places of decimals
6
If \(\frac{{241}}{{4000}} = \frac{{241}}{{{2^m} \times {5^n}}}\), then
  • A
    m =2 and n = 5
  • B
    m = 5 and n = 3
    Correct
  • C
    m = 3 and n = 2
  • D
    m = 4 and n = 5
7
If \({9^{x + 2}} = 240 + {9^x}\), then the value of ‘x’ is
  • A
    0.3
  • B
    0.5
    Correct
  • C
    0.2
  • D
    0.1
8
The multiplicative inverse of zero
  • A
    is 0
  • B
    does not exist
    Correct
  • C
    is 1
  • D
    is \(\frac{1}{0}\)
9
Every prime number has exactly _______ factors
  • A
    more than 4
  • B
    3
  • C
    2
    Correct
  • D
    4
10
The prime factors of 196 are
  • A
    \(2 \times {7^2}\)
  • B
    \({2^2} \times {7^2}\)
    Correct
  • C
    \(2 \times 7\)
  • D
    \({2^2} \times 7\)
11
The exponent of 3 in the prime factorization of 864 is:
  • A
    4
  • B
    3
    Correct
  • C
    3
  • D
    8
12
_______ is neither prime nor composite.
  • A
    1
    Correct
  • B
    3
  • C
    2
  • D
    4
13
If two numbers do not have common factor (other than 1), then they are called
  • A
    co-prime numbers
    Correct
  • B
    composite numbers
  • C
    prime numbers
  • D
    twin primes
14
Which of the following numbers is a prime number?
  • A
    253
  • B
    377
  • C
    233
    Correct
  • D
    147
15
7 x 11 x 13 + 13 is a/an:
  • A
    none of these
  • B
    odd number but not composite
  • C
    composite number
    Correct
  • D
    prime number