Questions

M.C.Q. [1 Marks Each]

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12 questions · timed · auto-graded

MCQ 11 Mark
Which of the following rational numbers is positive?
  • A
    $\frac{-8}{7}$
  • B
    $\frac{19}{-13}$
  • $\frac{-3}{-4}$
  • D
    $\frac{-21}{13}$
Answer
Correct option: C.
$\frac{-3}{-4}$
$\frac{-3}{-4}$
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MCQ 21 Mark
In the standard form of a rational number, the denominator is always a:
  • A
    $0$
  • B
    Negative integer.
  • Positive integer.
  • D
    $1$
Answer
Correct option: C.
Positive integer.
$(c)$ By definition, a rational number is said to be in the standard form, if its denominator is a positive integer.
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MCQ 31 Mark
In the standard form of a rational number, the common factor of numerator and denominator is always:
  • A
    $0$
  • $1$
  • C
    $-2$
  • D
    $2$
Answer
Correct option: B.
$1$
$(b)$ By definition, in the standard form of a rational number, the common factor of numerator and denominator is always$1$.
Note: Common factor means, a number which divides both the given two numbers.
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MCQ 41 Mark
Which is greater number in the following?
  • A
    $\frac{1}{-2}$
  • B
    $0$
  • $\frac{1}{2}$
  • D
    $-2$
Answer
Correct option: C.
$\frac{1}{2}$
$(c)$ Obviously, $\frac{1}{2}$ is greater, since this is ony number which is on the rightmost side of the number line among others.
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MCQ 51 Mark
Which of the following rational numbers is equal to its reciprocal?
  • $1$
  • B
    $2$
  • C
    $\frac{1}{2}$
  • D
    $0$
Answer
Correct option: A.
$1$
$1.$ Reciparocal of $1=\frac{1}{1}=1$
$2.$ Reciparocal of $2\frac{1}{2}$
$3.$ Reciparocal of $\frac{1}{2}=\frac{1}{\frac{1}{2}}=2$
$4.$ Reciparocal of $0=\frac{1}{0}$
Note: $1$ is the only number, which is equal its recprocal.
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MCQ 61 Mark
Which of the following is equivalent to $\frac{4}{5}?$
  • A
    $\frac{4}{5}$
  • B
    $\frac{16}{25}$
  • $\frac{16}{20}$
  • D
    $\frac{15}{25}$
Answer
Correct option: C.
$\frac{16}{20}$
Given rational number is $\frac{4}{5},$
So, equivalent rational number $=\frac{4\times4}{5\times4}$
$=\frac{16}{20}$ [Multipying numerator and denominator by 4]
Note: If the numerator and denominator of a rational number is multiplied/divided by a non-zero integer, then the result we get, is equivalent rational number.
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MCQ 71 Mark
How many rational numbers are there between two rational numbers?
  • A
    $1$
  • B
    $0$
  • Unlimited.
  • D
    $100$
Answer
Correct option: C.
Unlimited.
$(c)$ There are unlimited numbers between two rational numbers.
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MCQ 81 Mark
The standard form of $\frac{-48}{60}$ is:
  • A
    $\frac{48}{60}$
  • B
    $\frac{-601}{48}$
  • $\frac{-4}{5}$
  • D
    $\frac{-4}{-5}$
Answer
Correct option: C.
$\frac{-4}{5}$
Given rational number is $\frac{-48}{60}.$
For standrad/ simplest form, divide numerator and denomin by their $HCF$
i.e. $\frac{-48+12}{60+12}=\frac{-4}{5}$
Hence, the standard form of $\frac{-48}{60}$ is $\frac{-4}{5}.$
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MCQ 91 Mark
The reciprocal of $\frac{1}{2}$ is:
  • A
    $3$
  • $2$
  • C
    $-1$
  • D
    $0$
Answer
Correct option: B.
$2$
$(b)$ Reciprocal of $\frac{1}{2}=\frac{1}{\frac{1}{2}}=2$
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MCQ 101 Mark
A rational number is defined as a number that can be expressed in the form $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and
  • A
    $\text{q}=0$
  • B
    $\text{q}=1$
  • C
    $\text{q}\neq1$
  • $\text{q}\neq0$
Answer
Correct option: D.
$\text{q}\neq0$
A number that can be expressed in the form of $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $\text{q}\neq0,$ is called a rational number.
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MCQ 111 Mark
To reduce a rational number to its standard form, we divide its numerator and denominator by their:
  • A
    $LCM.$
  • $HCF.$
  • C
    Product.
  • D
    Multiple.
Answer
Correct option: B.
$HCF.$
$HCF.$
$(b)$ To reduce a rational number to its standard form, we divide its numerator and denominator by their $HCF.$
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MCQ 121 Mark
Which of the following rational numbers is negative?
  • A
    $-\big(\frac{-3}{7}\big)$
  • B
    $\frac{-5}{-8}$
  • C
    $\frac{9}{8}$
  • $\frac{3}{-7}$
Answer
Correct option: D.
$\frac{3}{-7}$
$a. -\big(\frac{-3}{7}\big)=\frac{3}{7}$
$b. \frac{-5}{-8}=\frac{5}{8}$
$c. \frac{9}{8}=\frac{9}{8}$
$d. \frac{3}{-7}=\frac{-3}{7}$
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