Real Numbers Test-04

Real Numbers Test-04

This is Real Numbers Test-04 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of ‘m’ is
  • A
    1
  • B
    4
  • C
    3
  • D
    2
    Correct
2
If \(d\) is the HCF of 56 and 72, then values of \(x,y\) satisfying \(d = 56x + 72y:\)
  • A
    \(x = 3,y = - 4\)
  • B
    \(x = - 4,y = 3\)
  • C
    \(x = 4,y = - 3\)
    Correct
  • D
    \(x = - 3,y = 4\)
3
Which of the following is false:
  • A
    \({\text{H}}{\text{.C}}{\text{.F}}{\text{.}}\left( {p,q,r} \right) \times {\text{ L}}{\text{.C}}{\text{.M}}{\text{.}}\left( {p,q,r} \right) = p \times q \times r\)
    Correct
  • B
    \({\text{L}}{\text{.C}}{\text{.M}}{\text{.}}\left( {p,q,r} \right) = p \times q \times r;\) if \(p,q,r\) are prime numbers
  • C
    \({\text{H}}{\text{.C}}{\text{.F}}{\text{.}}\left( {p,q,r} \right) = 1;\) if \(p,q,r\) are prime numbers
  • D
    \({\text{H}}{\text{.C}}{\text{.F}}{\text{.}}\left( {a,b} \right) \times {\text{ L}}{\text{.C}}{\text{.M}}{\text{.}}\left( {a,b} \right) = a \times b\)
4
What is the number \(x\) The LCM of \(x\) and 18 is 36. The HCF of \(x\) and 18 is 2.
  • A
    1
  • B
    3
  • C
    4
    Correct
  • D
    2
5
Which of the following is not a rational number?
  • A
    \(\sqrt 8 \)
    Correct
  • B
    \(\sqrt {25} \)
  • C
    \(\sqrt {16} \)
  • D
    \(\sqrt 9 \)
6
Which of the following is a rational number?
  • A
    \(\sqrt {15} \)
  • B
    \(\sqrt 9 \)
    Correct
  • C
    \(\sqrt {10} \)
  • D
    \(\sqrt {12} \)
7
If ‘p’ is a prime number, then \(\sqrt p \) is
  • A
    Irrational
    Correct
  • B
    Integer
  • C
    Rational
  • D
    prime number
8
\(\pi \) is
  • A
    a natural number
  • B
    an irrational numbers
    Correct
  • C
    an integer
  • D
    a rational number
9
The difference of a rational and an irrational number is always
  • A
    a rational number
  • B
    an irrational number
    Correct
  • C
    none of these
  • D
    an integer
10
The difference of two distinct irrational numbers is always
  • A
    none of these
  • B
    a rational number or irrational number
    Correct
  • C
    an irrational number
  • D
    a rational number
11
The product of a rational number and an irrational number is
  • A
    a rational number or an irrational number
    Correct
  • B
    none of these
  • C
    a rational number
  • D
    an irrational number
12
The sum of two irrational numbers is always
  • A
    an irrational number
  • B
    a rational number
  • C
    none of these
  • D
    a rational number or an irrational number
    Correct
13
\(3 + 2\sqrt 5 \) is a/an:
  • A
    irrational number
    Correct
  • B
    none of these
  • C
    rational number
  • D
    both a) and b)
14
\((1 + \sqrt 2 ) + (1 - \sqrt 2 )\) is
  • A
    an irrational numbers
  • B
    none of these
  • C
    a non-terminating decimal
  • D
    a rational number
    Correct
15
If a is rational and \(\sqrt b \) is irrational, then \(a + \sqrt b \) is:
  • A
    a natural number
  • B
    an integer
  • C
    a rational number
  • D
    an irrational number
    Correct