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MCQ

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25 questions · auto-graded multiple-choice test.

MCQ 11 Mark
Mark $(\checkmark)$ against the correct answer in the following: $\frac{55}{-66}$ in standard form is:
  • A
    $\frac{5}{-6}$
  • B
    $\frac{-5}{6}$
  • C
    $\frac{-55}{66}$
  • None of these.
Answer
Correct option: D.
None of these.
None of these.
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MCQ 21 Mark
Mark $(\checkmark)$ against the correct answer in the following:
What should be added to $\frac{-5}{9}$ to get $1?$
  • A
    $\frac{4}{9}$
  • B
    $\frac{-4}{9}$
  • C
    $\frac{14}{9}$
  • None of these
Answer
Correct option: D.
None of these
None of these
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MCQ 31 Mark
Mark $(\checkmark)$ against the correct answer in the following: $0\div\frac{-7}{5}=?$
  • A
    Not defined
  • B
    $\frac{-5}{7}$
  • C
    $0$
  • None of these
Answer
Correct option: D.
None of these
None of these
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MCQ 41 Mark
Mark $(\checkmark)$ against the correct answer in the following: Which is greater between $\frac{-4}{9}$ and $\frac{-5}{12}?$
  • $\frac{-4}{9}$
  • B
    $\frac{-5}{12}$
  • C
    Both are equal.
  • D
    None of these
Answer
Correct option: A.
$\frac{-4}{9}$
$\frac{-4}{9}$
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MCQ 51 Mark
Mark $(\checkmark)$ against the correct answer in the following:$1\div\frac{1}{2}=?$
  • A
    $\frac{1}{2}$
  • B
    $2$
  • C
    $2\frac{1}{2}$
  • $1\frac{1}{2}$
Answer
Correct option: D.
$1\frac{1}{2}$
$1\frac{1}{2}$
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MCQ 61 Mark
Mark $(\checkmark)$ against the correct answer in the following: Reciprocal of $-6$ is:
  • A
    $6$
  • B
    $\frac{1}{6}$
  • C
    $\frac{-1}{6}$
  • None of these.
Answer
Correct option: D.
None of these.
None of these.
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MCQ 71 Mark
Mark $(\checkmark)$ against the correct answer in the following: $\frac{-3}{14}\times?=\frac{5}{12}$
  • A
    $\frac{-35}{18}$
  • B
    $\frac{35}{18}$
  • C
    $\frac{7}{3}$
  • None of these.
Answer
Correct option: D.
None of these.
None of these.
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MCQ 81 Mark
Mark $(\checkmark)$ against the correct answer in the following: Which is smaller out of $\frac{5}{-6}$ and $\frac{-7}{12}?$
  • $\frac{5}{-6}$
  • B
    $\frac{-7}{12}$
  • C
    Cannot be compared.
  • D
    None of these.
Answer
Correct option: A.
$\frac{5}{-6}$
$\frac{5}{-6}$
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MCQ 91 Mark
Mark $(\checkmark)$ against the correct answer in the following: $-2\frac{1}{3}+4\frac{3}{5}=?$
  • A
    $-2\frac{4}{15}$
  • B
    $2\frac{4}{15}$
  • C
    $-2\frac{1}{5}$
  • None of these.
Answer
Correct option: D.
None of these.
None of these.
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MCQ 101 Mark
Mark $(\checkmark)$ against the correct answer in the following: $78\frac{3}{4}\div2\frac{1}{2}=?$
  • A
    $31\frac{1}{2}$
  • B
    $39\frac{3}{8}$
  • C
    $40\frac{1}{3}$
  • None of these.
Answer
Correct option: D.
None of these.
None of these.
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MCQ 111 Mark
Mark $(\checkmark)$ against the correct answer in the following: Which is larger out of $\frac{2}{-3}$ and $\frac{-4}{5}?$
  • A
    $\frac{2}{-3}$
  • $\frac{2}{-3}$
  • C
    Cannot be compared.
  • D
    None of these.
Answer
Correct option: B.
$\frac{2}{-3}$
$\frac{2}{-3}$
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MCQ 121 Mark
Mark $(\checkmark)$ against the correct answer in the following: What should be subtracted from $\frac{-2}{7}$ to get $\frac{3}{4}?$
  • A
    $\frac{-17}{12}$
  • B
    $\frac{17}{12}$
  • C
    $\frac{-12}{17}$
  • None of these.
Answer
Correct option: D.
None of these.
None of these.
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MCQ 131 Mark
Mark $(\checkmark)$ against the correct answer in the following: $-2\frac{1}{9}-6=?$
  • A
    $-8\frac{1}{9}$
  • B
    $8\frac{1}{9}$
  • C
    $4\frac{1}{9}$
  • None of these
Answer
Correct option: D.
None of these
None of these
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MCQ 141 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$\frac{-102}{119}$ in standard form is:
  • A
    $\frac{-4}{7}$
  • $\frac{-6}{7}$
  • C
    $\frac{-6}{17}$
  • D
    None of these.
Answer
Correct option: B.
$\frac{-6}{7}$

$\text{H.C.F}$ of $102$ and $119$ is $17$
$=\frac{-102\div11}{119\div17}=\frac{-6}{7}$
The standard from of $\frac{-102}{119}\text{ is }\frac{-6}{7}$
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MCQ 151 Mark
Mark $(\checkmark)$ against the correct answer in the following: The product of two numbers is $\frac{-1}{6}$ If one of them is $\frac{-5}{8}$ the other number is:
  • A
    $\frac{-4}{15}$
  • $\frac{4}{15}$
  • C
    $\frac{15}{4}$
  • D
    $\frac{-15}{4}$
Answer
Correct option: B.
$\frac{4}{15}$

Let the other number to be $x$
$\frac{-5}{8}\times\text{x}=\frac{-1}{6}$
$\Rightarrow\text{x}=\frac{-1}{6}\div\Big(\frac{-5}{8}\Big)$
$=\frac{-1}{6}\times\Big(\frac{8}{-5}\Big)$
$=\frac{-4}{-15}$
$=\frac{4}{15}$

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MCQ 161 Mark
Mark $(\checkmark)$ against the correct answer in the following: $\frac{-9}{14}+?=-1$
  • A
    $\frac{5}{14}$
  • $\frac{-5}{14}$
  • C
    $\frac{1}{7}$
  • D
    $\frac{-1}{7}$
Answer
Correct option: B.
$\frac{-5}{14}$
Missing number $=(-1)+\frac{9}{14}$
$=\frac{-14+9}{14}$
$=\frac{-5}{14}$
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MCQ 171 Mark
Mark $(\checkmark)$ against the correct answer in the following:
Which is smaller between $\frac{-5}{6}$ and $\frac{-7}{12}?$
  • $\frac{-5}{6}$
  • B
    $\frac{-7}{12}$
  • C
    $\frac{6}{5}$
  • D
    Cannot be compared.
Answer
Correct option: A.
$\frac{-5}{6}$

Since $\text{LCM}$ of $6$ and $12$ is $12$
$\frac{-5\times2}{6\times}=\frac{-10}{12}$
$\frac{-7\times1}{12\times1}=\frac{-7}{12}$
$\frac{-5}{6}<\frac{-7}{12}$

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MCQ 181 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$\text{if }\frac{\text{x}}{6}=\frac{7}{-3}$ then the value of $x$ is:
  • $-14$
  • B
    $14$
  • C
    $21$
  • D
    $-21$
Answer
Correct option: A.
$-14$

The correct option is $(a).$
The value of $x$ is $-14$
$\Big[\text{x}=\frac{7\times6}{-3}=\frac{42^{14}}{-3_1}=-14\Big]$

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MCQ 191 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$\frac{-6}{13}-\Big(\frac{-7}{15}\Big)=?$
  • A
    $\frac{-181}{195}$
  • B
    $\frac{181}{195}$
  • $\frac{1}{195}$
  • D
    $\frac{-1}{195}$
Answer
Correct option: C.
$\frac{1}{195}$

The correct option is $(c).$
$\frac{-6}{13}-\frac{[-7]}{15}$
$\text{LCM}$ of $13$ and $15$ is $195$
$\frac{-6}{13}-\frac{[-7]}{15}$
$=\frac{-90+91}{195}$
$=\frac{1}{195}$

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MCQ 201 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$\frac{2}{3}-1\frac{5}{7}=?$
  • A
    $1\frac{1}{21}$
  • $-1\frac{1}{21}$
  • C
    $\frac{5}{21}$
  • D
    $\frac{-5}{21}$
Answer
Correct option: B.
$-1\frac{1}{21}$
The correct option is $(b).$
$\frac{2}{3}-1\frac{5}{7}$
$\frac{2}{3}\frac{12}{7}$
$\text{LCM}$ of $3$ and $7$ is $21$
$=\frac{14-36}{21}$
$=\frac{-22}{21}$
$=-1\frac{1}{21}$
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MCQ 211 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$\frac{-9}{14}+?=-1$
  • A
    $\frac{5}{14}$
  • $\frac{-5}{14}$
  • C
    $\frac{1}{7}$
  • D
    $\frac{-1}{7}$
Answer
Correct option: B.
$\frac{-5}{14}$

The correct option is $(b).$
$\frac{-9}{14}+?=-1$
$\therefore?=-1-\frac{(-9)}{14}$
$?=\frac{14+9}{14}$
$?=\frac{-5}{14}$

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MCQ 221 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$\frac{5}{4}-\frac{7}{6}-\frac{-2}{3}=?$
  • $\frac{3}{4}$
  • B
    $\frac{-3}{4}$
  • C
    $\frac{-7}{12}$
  • D
    $\frac{7}{12}$
Answer
Correct option: A.
$\frac{3}{4}$

$\frac{5}{4}-\frac{7}{6}-\frac{(-2)}{3}$
$\text{LCM}$ of $4, 6$ and $3$ is $12$
$=\frac{15-14+8}{12}$
$=\frac{9^3}{12_4}$
$=\frac{3}{4}$

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MCQ 231 Mark
Mark $(\checkmark)$ against the correct answer in the following:
What should be subtracted from $\frac{-3}{4}$ to get $\frac{5}{6}?$
  • A
    $\frac{19}{12}$
  • $\frac{-19}{12}$
  • C
    $\frac{1}{12}$
  • D
    $\frac{-1}{12}$
Answer
Correct option: B.
$\frac{-19}{12}$

The correct option is $(b).$
Let the number that is to be subtracted be $x.$
$\frac{-3}{4}-\text{x}=\frac{5}{6}$
$\Rightarrow-\text{x}=\frac{5}{6}-\Big(\frac{-3}{4}\Big)$
$\Rightarrow-\text{x}=\frac{5}{6}+\frac{-3}{4}$
$\Rightarrow-\text{x}=\frac{(5\times2)+(3\times3)}{12}$
$\Rightarrow\text{x}=-\frac{19}{12}$
Hence, $\frac{-19}{12}$ should be subtracted from $\frac{-3}{4}$ to get $\frac{5}{6}$

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MCQ 241 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$\frac{-3}{8}\div=0?$
  • A
    $\frac{-3}{8}$
  • B
    $0$
  • C
    $\frac{-8}{3}$
  • Not defined.
Answer
Correct option: D.
Not defined.

This is because $\frac{-3}{8}\div0$ is not defined.

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MCQ 251 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$\frac{33}{-55}$ in standard form is:
  • A
    $\frac{3}{-5}$
  • $\frac{-3}{5}$
  • C
    $\frac{33}{-55}$
  • D
    None of these.
Answer
Correct option: B.
$\frac{-3}{5}$


$\text{H.C.F}$ of $33$ and $55$ is $11$
$=\frac{-33\div11}{55\div11}=\frac{-3}{5}$

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