Questions

MCQ

🎯

Test yourself on this topic

27 questions · timed · auto-graded

MCQ 11 Mark
By what rational number should $\frac{-5}{24}$ be multiplied to get 10 ?
  • A
    12
  • B
    -12
  • C
    48
  • -48
Answer
Correct option: D.
-48
D
View full question & answer
MCQ 21 Mark
$\frac{-1}{4} \times\left[\frac{2}{5}+\left(\frac{-5}{6}\right)\right]=?$
  • $\left[\frac{-1}{4} \times \frac{2}{5}\right]+\left[\frac{-1}{4} \times\left(\frac{-5}{6}\right)\right]$
  • B
    $\left[\frac{-1}{4} \times \frac{2}{5}\right]-\left(\frac{-5}{6}\right)$
  • C
    $\frac{2}{5}+\left(\frac{-1}{4}\right) \times\left(\frac{-5}{6}\right)$
  • D
    $\left[\frac{2}{5}+\left(\frac{-5}{6}\right)\right]-\frac{1}{4}$
Answer
Correct option: A.
$\left[\frac{-1}{4} \times \frac{2}{5}\right]+\left[\frac{-1}{4} \times\left(\frac{-5}{6}\right)\right]$
A
View full question & answer
MCQ 31 Mark
Which of the following expressions shows that rational numbers are associative under multiplication?
  • $\frac{4}{5} \times\left(\frac{-6}{7} \times \frac{8}{9}\right)=\left(\frac{4}{5} \times \frac{-6}{7}\right) \times \frac{8}{9}$
  • B
    $\frac{4}{5} \times\left(\frac{-6}{7} \times \frac{8}{9}\right)=\frac{4}{5} \times\left(\frac{8}{9} \times \frac{-6}{7}\right)$
  • C
    $\frac{4}{5} \times\left(\frac{6}{7} \times \frac{8}{9}\right)=\left(\frac{8}{9} \times \frac{4}{5}\right) \times \frac{-6}{7}$
  • D
    $\left(\frac{4}{5} \times \frac{-6}{7}\right) \times \frac{8}{9}=\left(\frac{-6}{7} \times \frac{4}{5}\right) \times \frac{8}{9}$
Answer
Correct option: A.
$\frac{4}{5} \times\left(\frac{-6}{7} \times \frac{8}{9}\right)=\left(\frac{4}{5} \times \frac{-6}{7}\right) \times \frac{8}{9}$
A
View full question & answer
MCQ 41 Mark
Which rational numbers are equal to their reciprocals?
  • A
    0,1
  • B
    $-1,0$
  • $-1,1$
  • D
    $-1,0$
Answer
Correct option: C.
$-1,1$
C
View full question & answer
MCQ 51 Mark
The reciprocal of a negative rational number
  • A
    is a positive rational number
  • is a negative rational number
  • C
    can be either a positive or a negative rational number
  • D
    does not exist
Answer
Correct option: B.
is a negative rational number
B
View full question & answer
MCQ 61 Mark
The product of additive inverse and multiplicative inverse of $\frac{-1}{4}$ is
  • A
    1
  • $-1$
  • C
    $0$
  • D
    $\frac{-1}{16}$
Answer
Correct option: B.
$-1$
B
View full question & answer
MCQ 71 Mark
The multiplicative inverse of $\frac{-5}{12}$ is
  • A
    $\frac{5}{12}$
  • B
    $\frac{12}{5}$
  • $\frac{-12}{5}$
  • D
    $\frac{2}{15}$
Answer
Correct option: C.
$\frac{-12}{5}$
C
View full question & answer
MCQ 81 Mark
The arrangement of rational numbers $\frac{-7}{10}, \frac{5}{-8}, \frac{2}{-3}$, in ascending order is
  • A
    $\frac{2}{-3}, \frac{5}{-8}, \frac{-7}{10}$
  • $\frac{-7}{10}, \frac{2}{-3}, \frac{5}{-8}$
  • C
    $\frac{5}{-8}, \frac{-7}{10}, \frac{2}{-3}$
  • D
    $\frac{-7}{10}, \frac{5}{-8}, \frac{2}{-3}$
Answer
Correct option: B.
$\frac{-7}{10}, \frac{2}{-3}, \frac{5}{-8}$
B
View full question & answer
MCQ 91 Mark
Identify a rational number between $\frac{1}{3}$ and $\frac{4}{5}$.
  • A
    $\frac{1}{4}$
  • B
    $\frac{9}{10}$
  • $\frac{17}{30}$
  • D
    $1 \frac{7}{10}$
Answer
Correct option: C.
$\frac{17}{30}$
C
View full question & answer
MCQ 101 Mark
The additive inverse of $\frac{-5}{12}$ is
  • $\frac{5}{12}$
  • B
    $\frac{12}{5}$
  • C
    $\frac{-12}{5}$
  • D
    $\frac{2}{15}$
Answer
Correct option: A.
$\frac{5}{12}$
A
View full question & answer
MCQ 111 Mark
A rational number between $\frac{1}{5}$ and $\frac{1}{2}$ is
  • A
    $\frac{1}{10}$
  • B
    $\frac{1}{20}$
  • C
    $\frac{7}{10}$
  • $\frac{7}{20}$
Answer
Correct option: D.
$\frac{7}{20}$
D
View full question & answer
MCQ 121 Mark
Between any two given rational numbers we can find
  • A
    one and only one rational number
  • B
    only two rational numbers
  • C
    only ten rational numbers
  • infinitely many rational numbers
Answer
Correct option: D.
infinitely many rational numbers
D
View full question & answer
MCQ 131 Mark
$\frac{4}{9} \div ?=\frac{-8}{15}$
  • A
    $\frac{-32}{45}$
  • B
    $\frac{-8}{5}$
  • C
    $\frac{-9}{10}$
  • $\frac{-5}{6}$
Answer
Correct option: D.
$\frac{-5}{6}$
D
View full question & answer
MCQ 141 Mark
$\left(\frac{-5}{9} \div \frac{2}{3}\right)=?$
  • A
    $\frac{-5}{2}$
  • $\frac{-5}{6}$
  • C
    $\frac{-10}{27}$
  • D
    $\frac{-6}{5}$
Answer
Correct option: B.
$\frac{-5}{6}$
B
View full question & answer
MCQ 151 Mark
$\left(\frac{-9}{16} \times \frac{8}{15}\right)=?$
  • $\frac{-3}{10}$
  • B
    $\frac{-4}{15}$
  • C
    $\frac{-9}{25}$
  • D
    $\frac{-2}{5}$
Answer
Correct option: A.
$\frac{-3}{10}$
A
View full question & answer
MCQ 161 Mark
Which of the following numbers is in standard form?
  • A
    $\frac{-12}{26}$
  • B
    $\frac{-49}{70}$
  • $\frac{-9}{16}$
  • D
    $\frac{28}{-105}$
Answer
Correct option: C.
$\frac{-9}{16}$
C
View full question & answer
MCQ 171 Mark
The product of two numbers is $\frac{-16}{35}$. If one of the numbers is $\frac{-15}{14}$, then the other is
  • A
    $\frac{-2}{5}$
  • B
    $\frac{-8}{3}$
  • C
    $\frac{8}{15}$
  • $\frac{32}{75}$
Answer
Correct option: D.
$\frac{32}{75}$
D
View full question & answer
MCQ 181 Mark
The sum of two rational numbers is -3 . If one of the numbers is $\frac{-7}{5}$, then the other number is
  • $\frac{-8}{5}$
  • B
    $\frac{8}{5}$
  • C
    $\frac{-6}{5}$
  • D
    $\frac{6}{5}$
Answer
Correct option: A.
$\frac{-8}{5}$
A
View full question & answer
MCQ 191 Mark
What should be subtracted from $-\frac{7}{8}$ so as to get $\frac{5}{12}$ ?
  • A
    $\frac{31}{24}$
  • B
    $\frac{8}{5}$
  • $\frac{-31}{24}$
  • D
    $\frac{-6}{8}$
Answer
Correct option: C.
$\frac{-31}{24}$
C
View full question & answer
MCQ 201 Mark
What should be added to $\frac{-3}{4}$ to get $\frac{7}{6}$ ?
  • A
    $\frac{11}{24}$
  • B
    $\frac{9}{24}$
  • C
    $\frac{10}{25}$
  • $\frac{23}{12}$
Answer
Correct option: D.
$\frac{23}{12}$
D
View full question & answer
MCQ 211 Mark
A number of the form $\frac{p}{q}$ is said to be a rational number if
  • A
    $p$ and $q$ are whole numbers and $q \neq 0$.
  • B
    $p$ is a whole number and $q$ is a natural number.
  • $p$ and $q$ are integers and $q \neq 0$.
  • D
    $p$ and $q$ are integers and $p \neq 0, q \neq 0$.
Answer
Correct option: C.
$p$ and $q$ are integers and $q \neq 0$.
C
View full question & answer
MCQ 221 Mark
$a$ and $b$ are two rational numbers such that $a+b=3$. When we divide $a$ by $b$, the closure property of rational numbers does not hold true. The values of $a b$ and $a-b$ respectively are:
  • A
    $0,-3$
  • B
    0, 0
  • 0, 3
  • D
    3, 3
Answer
Correct option: C.
0, 3
C
View full question & answer
MCQ 231 Mark
$p$ and $q$ are two non-zero unequal rational numbers. Which of the following can't be equal to 1 ?
(i) $\frac{p-q}{q-p}$ $\quad$(ii) $\frac{p+q}{q+p}$$\quad$(iii) $\frac{p q}{q p}$ $\quad$(iv) $\frac{p}{q} \div \frac{q}{p}$
  • A
    only (i)
  • B
    only (iv)
  • C
    (i) and (ii)
  • (i) and (iv)
Answer
Correct option: D.
(i) and (iv)
D
View full question & answer
MCQ 241 Mark
The rational number that must be added to the sum of $\frac{3}{7},-\frac{8}{21}$ and $-\frac{3}{14}$ to get the result $\frac{-5}{14}$ is:
  • $\frac{-4}{21}$
  • B
    $\frac{4}{21}$
  • C
    $\frac{-5}{21}$
  • D
    $\frac{-1}{6}$
Answer
Correct option: A.
$\frac{-4}{21}$
A
View full question & answer
MCQ 251 Mark
$\frac{2}{5}$ of total number of students of a school come by a car, while $\frac{1}{4}$ of students come by bus to school. All the other students walk to school, of which $\frac{1}{3}$ walk their own and rest are escorted by their parents. If 224 students come to school walking on their own, how many students study in that school?
  • A
    2000
  • B
    1970
  • 1920
  • D
    1904
Answer
Correct option: C.
1920
C
View full question & answer
MCQ 261 Mark
A, B, C, D and E went to a restaurant for dinner. A paid $\frac{1}{2}$ of the bill, B paid $\frac{1}{5}$ of the bill and rest of the bill was shared equally by C, D and E. What fraction of the bill was paid by each?
  • A
    $\frac{3}{5}$
  • B
    $\frac{2}{5}$
  • C
    $\frac{3}{10}$
  • $\frac{1}{10}$
Answer
Correct option: D.
$\frac{1}{10}$
D
View full question & answer
MCQ 271 Mark
Ramesh earns $₹ 40,000$ per month. He spends $\frac{3}{8}$ of income on food, $\frac{1}{5}$ of the remaining on LIC premium and $\frac{1}{2}$ of the remaining on other expenses. Find how much money is left with him?
  • A
    ₹ $8,000$
  • ₹ $10,000$
  • C
    ₹ $15,000$
  • D
    ₹ $16,000$
Answer
Correct option: B.
₹ $10,000$
B
View full question & answer
MCQ - MATHS STD 8 Questions - Vidyadip