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MATHS M.C.Q. [1 Marks Each]

Rational Numbers · Gujarat Board (GSEB) STD 8 (GSEB - English Medium). 14 questions.

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M.C.Q. [1 Marks Each]

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14 questions · timed · auto-graded

MCQ 11 Mark
One (1) is
  • A
    the identity for addition of rational numbers.
  • B
    the identity for subtraction of rational numbers.
  • ✓
    the identity for multiplication of rational numbers.
  • D
    the identity for division of rational numbers.
Answer
Correct option: C.
the identity for multiplication of rational numbers.
C
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MCQ 21 Mark
Zero (0) is
  • ✓
    the identity for addition of rational numbers.
  • B
    the identity for subtraction of rational numbers.
  • C
    the identity for multiplication of rational numbers.
  • D
    the identity for division of rational numbers.
Answer
Correct option: A.
the identity for addition of rational numbers.
A
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MCQ 31 Mark
Which of the following is not true?
  • A
    Rational numbers are closed under addition.
  • B
    Rational numbers are closed under subtraction.
  • C
    Rational numbers are closed under multiplication.
  • ✓
    Rational numbers are closed under division.
Answer
Correct option: D.
Rational numbers are closed under division.
D
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MCQ 41 Mark
Which of the following is an example of distributive property over addition for rational number?
  • A
    $\frac{-5}{4} \times\left(\frac{6}{17}+\frac{15}{9}\right)=\left(\frac{6}{17}+\frac{15}{9}\right) \times\left(\frac{-5}{4}\right)$
  • ✓
    $\frac{2}{3} \times\left(\frac{-7}{18}-\frac{19}{2}\right)=\frac{2}{3} \times\left(\frac{-7}{18}\right)-\frac{2}{3} \times \frac{19}{2}$
  • C
    $\frac{2}{3} \times\left(\frac{-7}{15}+\frac{19}{2}\right)=\frac{2}{3} \times\left(\frac{-7}{18}\right)+\frac{2}{3}+\frac{19}{2}$
  • D
    $\frac{15}{8} \times\left[\frac{6}{17}+\left(\frac{-5}{4}\right)\right]=\frac{15}{8} \times \frac{6}{17}+\left(\frac{-5}{4}\right)$
Answer
Correct option: B.
$\frac{2}{3} \times\left(\frac{-7}{18}-\frac{19}{2}\right)=\frac{2}{3} \times\left(\frac{-7}{18}\right)-\frac{2}{3} \times \frac{19}{2}$
(B) $\frac{2}{3} \times\left(\frac{-7}{18}-\frac{19}{2}\right)=\frac{2}{3} \times\left(\frac{-7}{18}\right)-\frac{2}{3} \times \frac{19}{2}$
Hint Distributive property starts that
$a \times(b+c)=(a \times b)+(a \times c)\qquad\ldots\text{(i)}$
From option (b),
Let $a=\frac{2}{3}, b=\frac{-7}{18}$ and $c=-\frac{19}{2}$
Then, from Eq. (i), we get
$\frac{2}{3} \times\left(\frac{-7}{18}-\frac{19}{2}\right)=\frac{2}{3} \times\left(\frac{-7}{18}\right)-\frac{2}{3} \times \frac{19}{2}$
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MCQ 51 Mark
Multiplicative inverse of a negative rational number is
  • A
    $0$
  • B
    $-1$
  • C
    a negative rational number
  • ✓
    a positive rational number
Answer
Correct option: D.
a positive rational number
D
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MCQ 61 Mark
If $\frac{a}{b}$ is the multiplicative inverse of a number $x$, then multiplicative inverse of $\frac{a}{b}$ is
  • A
    $\frac{1}{x}$
  • ✓
    $x$
  • C
    $\frac{a x}{b}$
  • D
    $\frac{x b}{a}$
Answer
Correct option: B.
$x$
B
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MCQ 71 Mark
Which of the following number does not have multiplicative inverse?
  • A
    $1$
  • B
    $-1$
  • ✓
    $0$
  • D
    None of these
Answer
Correct option: C.
$0$
C
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MCQ 81 Mark
The multiplicative inverse of $-2 \frac{3}{5}$ is
  • A
    $\frac{5}{13}$
  • B
    $\frac{13}{5}$
  • ✓
    $\frac{-5}{13}$
  • D
    $\frac{-13}{5}$
Answer
Correct option: C.
$\frac{-5}{13}$
C
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MCQ 91 Mark
The multiplicative inverse of $\frac{-3}{8} \times\left(\frac{-24}{13}\right)$ is
  • A
    $\frac{9}{13}$
  • B
    $\frac{-9}{13}$
  • C
    $\frac{-13}{9}$
  • ✓
    $\frac{13}{9}$
Answer
Correct option: D.
$\frac{13}{9}$
D
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MCQ 111 Mark
To get the product $\frac{-4}{5}$, we should multiply $\frac{10}{11}$ by
  • A
    $\frac{14}{5}$
  • B
    $\frac{-4}{25}$
  • ✓
    $\frac{-22}{25}$
  • D
    $\frac{-9}{5}$
Answer
Correct option: C.
$\frac{-22}{25}$
(C) $\frac{-22}{25}$
Hint Let the required number be x.
According to the question,
$x \times \frac{10}{11}=\frac{-4}{5} \Rightarrow \frac{10}{11} \times x=\frac{-4}{5}$
$\Rightarrow \quad x=\frac{-4}{5} \div \frac{10}{11} \Rightarrow x=\frac{-4}{5} \times \frac{11}{10}=\frac{-44}{50}$
$\therefore \quad x=\frac{-22}{25}$
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MCQ 121 Mark
Which of the following operation is not associative for rational numbers?
  • A
    Addition
  • B
    Division
  • C
    Subtraction
  • ✓
    Both (b) and (c)
Answer
Correct option: D.
Both (b) and (c)
D
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MCQ 131 Mark
Which of the following is not true?
  • A
    $\frac{10}{11}+\frac{11}{12}=\frac{11}{12}+\frac{10}{11}$
  • B
    $\frac{10}{11} \times \frac{11}{12}=\frac{11}{12} \times \frac{10}{11}$
  • ✓
    $\frac{10}{11}÷\frac{11}{12}=\frac{11}{12}+\frac{10}{11}$
  • D
    $\frac{10}{11}÷\frac{11}{12}=\frac{10}{11} \times \frac{12}{11}$
Answer
Correct option: C.
$\frac{10}{11}÷\frac{11}{12}=\frac{11}{12}+\frac{10}{11}$
(C) $\frac{10}{11}÷\frac{11}{12}=\frac{11}{12}+\frac{10}{11}$
Hint We have,
$\begin{aligned} \frac{10}{11}÷\frac{11}{12} & =\frac{11}{12}+\frac{10}{11} \\ \text { LHS } & =\frac{10}{11}÷\frac{11}{12}=\frac{10}{11} \times \frac{12}{11}=\frac{120}{121} \\ \text { RHS } & =\frac{11}{12}÷\frac{10}{11}=\frac{11}{12} \times \frac{11}{10}=\frac{121}{120} \\ \therefore \text { LHS } & \neq \text { RHS }\end{aligned}$
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MCQ 141 Mark
The numerical expression $\frac{3}{8}, \frac{(5)}{7}-{ }_{56}^{19}$ shows that
  • ✓
    rational numbers are closed under addition.
  • B
    rational numbers are not closed under addition.
  • C
    rational numbers are closed under multiplication.
  • D
    addition of rational numbers is not commutative.
Answer
Correct option: A.
rational numbers are closed under addition.
A
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M.C.Q. [1 Marks Each] - MATHS STD 8 Questions - Vidyadip