8th Class Mathematics Rational Numbers Question Bank

done Rational Numbers Total Questions - 40

• question_answer1)
  Division by zero is
  A)
   0                                 done clear
  B)
   1                done clear
  C)
   Not Defined done clear
  D)
   None of these done clear
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• question_answer2)
  Additive identity of \[\frac{2016}{2017}\]is
  A)
   \[-\frac{2016}{2017}\]                           done clear
  B)
   \[-\frac{2015}{2009}\]         done clear
  C)
   -3                                done clear
  D)
   0 done clear
  View Solution play_arrow

• question_answer3)
  Rational numbers lying between 2 and 3 is/are:
  A)
   \[\frac{5}{2}\] done clear
  B)
   \[\frac{11}{4}\] done clear
  C)
   Both A and B done clear
  D)
   Neither A nor B done clear
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• question_answer4)
  If p and q are any two rational numbers then the rational number between them is
  A)
   \[\frac{1}{2}\left( p\times q \right)\]                     done clear
  B)
   \[\frac{1}{2}\left( p-q \right)\]         done clear
  C)
   \[\frac{1}{2}\left( p+q \right)\] done clear
  D)
   \[\frac{1}{2}\left( p\div q \right)\] done clear
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• question_answer5)
  Name the property of addition used in \[\frac{1}{3}+\frac{1}{2}=\frac{1}{2}+\frac{1}{3}\]
  A)
   Commutative Property done clear
  B)
   Associative Property done clear
  C)
   Distributive Property                done clear
  D)
   Multiplicative Inverse done clear
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• question_answer6)
  If p is \[\frac{3}{4}\]of q and \[\mathbf{q}=\frac{2}{5}+\frac{5}{6}\], then p+q is
  A)
   \[\frac{21}{24}\]                       done clear
  B)
   \[\frac{21}{8}\]  done clear
  C)
   \[\frac{22}{8}\]                         done clear
  D)
   \[\frac{23}{8}\] done clear
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• question_answer7)
  Multiply \[\frac{6}{11}\]by the additive inverse of \[\frac{11}{18}\]. Then, we get.,
  A)
   \[-\frac{1}{3}\]      done clear
  B)
   \[\frac{2}{3}\]              done clear
  C)
   \[\frac{1}{3}\]                          done clear
  D)
   \[\frac{6}{121}\] done clear
  View Solution play_arrow

• question_answer8)

  Statement-I: The quotient of two integers is always rational number.

  Statement-II:\[\frac{1}{0}\] is not a Rational number.

  A)
   Both Statement-1 and Statement-11 are true done clear
  B)
   Both Statement-1 and Statement-11 are false done clear
  C)
   Statement-1 is true, Statement-11 is false done clear
  D)
   Statement-1 is false, Statement-11 is true done clear
  View Solution play_arrow

• question_answer9)
  The product of two rational numbers is \[\frac{28}{27}\]of which one of the numbers is \[-\frac{4}{9}\]. Find the other number.
  A)
   \[\frac{7}{3}\]                          done clear
  B)
   \[-\frac{3}{7}\]             done clear
  C)
   \[\frac{3}{7}\]                          done clear
  D)
   \[-\frac{7}{3}\] done clear
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• question_answer10)
  Direction for Question: Look at the number line and answer the following Questions: In the above line representation A represents _________ Rational number.
  A)
   \[\frac{1}{3}\]                          done clear
  B)
   \[-\frac{3}{2}\]             done clear
  C)
   \[\frac{1}{2}\]                          done clear
  D)
   \[-\frac{1}{2}\] done clear
  View Solution play_arrow

• question_answer11)
  Direction for Question: Look at the number line and answer the following Questions: In the above line representation B represents ________ Rational number
  A)
   \[\frac{4}{7}\]                          done clear
  B)
   \[\frac{1}{2}\] done clear
  C)
   \[-\frac{1}{2}\]       done clear
  D)
                      \[\frac{0}{2}\] done clear
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• question_answer12)
  Direction for Question: Look at the number line and answer the following Questions: In the above line representation C represents ________ Rational number
  A)
   \[\frac{7}{4}\]                          done clear
  B)
   \[\frac{11}{4}\]             done clear
  C)
   \[\frac{13}{4}\]                                     done clear
  D)
   \[\frac{15}{4}\] done clear
  View Solution play_arrow

• question_answer13)
  The sum of any two rational number is always a rational number this statements indicates _______ property.
  A)
   Closure  done clear
  B)
   Commutative      done clear
  C)
   Associative       done clear
  D)
   Identity done clear
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• question_answer14)
  If \[\frac{3}{4}\times \frac{5}{3}\times \frac{9}{5}\times \frac{a}{b}=\frac{9}{4}\], then the additive inverse of \[\frac{a}{b}\]is
  A)
  \[-\frac{1}{4}\]                          done clear
  B)
  \[-\frac{1}{9}\]               done clear
  C)
   \[-\,1\]       done clear
  D)
   \[\frac{-4}{9}\] done clear
  View Solution play_arrow

• question_answer15)
  By what rational number should we divide \[-\frac{44}{9}\] so as to get \[-\frac{11}{3}\]?
  A)
   \[\frac{4}{3}\]                          done clear
  B)
   \[-\frac{4}{3}\]              done clear
  C)
   \[-\frac{3}{4}\]              done clear
  D)
   \[\frac{3}{4}\] done clear
  View Solution play_arrow

• question_answer16)
  Decimal representation of \[\frac{2}{3}\]is
  A)
   \[0.\overline{3}\]                       done clear
  B)
   \[0.\overline{6}\] done clear
  C)
   \[0.\overline{2}\]                                   done clear
  D)
   \[0.\overline{5}\] done clear
  View Solution play_arrow

• question_answer17)
  A terminating decimal term in the following is
  A)
   \[\frac{3}{16}\]  done clear
  B)
   \[\frac{1}{15}\]             done clear
  C)
   \[\frac{5}{14}\]                                     done clear
  D)
   \[\frac{2}{11}\] done clear
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• question_answer18)
  In \[\mathbf{0}.\overline{\mathbf{26}}\] period is
  A)
   2                                 done clear
  B)
   6               done clear
  C)
   26 done clear
  D)
   62 done clear
  View Solution play_arrow

• question_answer19)
  The periodicity of the decimal form of \[\frac{1}{7}\]is:
  A)
   15                                done clear
  B)
   6   done clear
  C)
   10                                done clear
  D)
   4 done clear
  View Solution play_arrow

• question_answer20)
  The next Rational number to 0 is
  A)
   1.001                           done clear
  B)
   1.00001          done clear
  C)
   1.0000001                    done clear
  D)
   Can't be determined done clear
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• question_answer21)
  Express \[\mathbf{0}.\mathbf{25}\overline{\mathbf{62}}\] in the form of \[\frac{m}{n}\] .
  A)
   \[\frac{2537}{9999}\]                            done clear
  B)
   \[\frac{2537}{9990}\]           done clear
  C)
   \[\frac{2573}{9900}\]                done clear
  D)
   \[\frac{2537}{9900}\] done clear
  View Solution play_arrow

• question_answer22)
  Which of the following variable value indicates Rational number?
  A)
   \[{{x}^{2}}=5\]                     done clear
  B)
   \[{{y}^{2}}=16\]     done clear
  C)
   \[{{z}^{2}}=-5\]                     done clear
  D)
   \[{{a}^{2}}=6\] done clear
  View Solution play_arrow

• question_answer23)
  Represents \[\frac{11}{27}\] as decimal
  A)
   0.470470.....     done clear
  B)
   0.740740.......     done clear
  C)
   0.740740........              done clear
  D)
   0.407407......... done clear
  View Solution play_arrow

• question_answer24)

  Statement-I: \[\frac{8}{11}\] is a pure recurring decimal.

  Statement-II: A non-terminating recurring decimal, which has no repeating digit after the decimal point immediately is called pure recurring decimal.

  A)
   Both Statement-I and Statement-II are true. done clear
  B)
   Both Statement-I and Statement-II are false. done clear
  C)
   Statement-I is true, Statement-II is false. done clear
  D)
   Statement-I is false, Statement-II is true. done clear
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• question_answer25)
  Between any two Rational number there exist _____ rational numbers.
  A)
   0                                 done clear
  B)
   100              done clear
  C)
   1                                 done clear
  D)
   Infinite done clear
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• question_answer26)
  Which of the following numbers is greatest of all?
  A)
   0.9                               done clear
  B)
   \[0.\overline{9}\]  done clear
  C)
   \[0.0\overline{9}\]                                  done clear
  D)
   \[0.\overline{09}\] done clear
  View Solution play_arrow

• question_answer27)
  The value of \[\left( \mathbf{0}.\mathbf{34}\overline{\mathbf{67}}+\mathbf{0}.\mathbf{1}\overline{\mathbf{333}} \right)\] is:
  A)
   0.48                             done clear
  B)
   \[0.48\overline{01}\] done clear
  C)
   \[0.\overline{48}\]                      done clear
  D)
   \[0.4\overline{8}\] done clear
  View Solution play_arrow

• question_answer28)
  If \[\left( \frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90} \right)\]= \[\frac{p}{q}\] and HCF of (p, q) = 1 then find \[\mathbf{p}\times \mathbf{q}\] =?
  A)
   90   done clear
  B)
   80              done clear
  C)
   100                              done clear
  D)
   None of these done clear
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• question_answer29)
  In Class VIII, \[\frac{3}{5}\] of the students are girls and rest are boys. If \[\frac{2}{9}\] of the girls and \[\frac{1}{4}\] of the boys are absent. What part of the total number of student are present?
  A)
   \[\frac{23}{30}\]   done clear
  B)
   \[\frac{23}{36}\]             done clear
  C)
   \[\frac{18}{49}\]                     done clear
  D)
   \[\frac{17}{25}\] done clear
  View Solution play_arrow

• question_answer30)
  Rohit was asked to find the value of \[\frac{3}{8}\] of a sum of money. Instead of multiplying the sum by \[\frac{3}{8}\]he divided it by \[\frac{3}{8}\] and then his answer exceeded by Rs.55. Find the correct value of \[\frac{3}{8}\]sum of money?
  A)
   Rs. 9     done clear
  B)
   Rs. 24             done clear
  C)
   Rs. 84             done clear
  D)
   Rs. 1,320 done clear
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• question_answer31)
  Rahul read \[\frac{2}{5}\]th of a book on the first day. He read \[\frac{1}{3}\]rd more on second day than he read on the first day. 15 pages were left for the third day. The number of pages in the book is
  A)
   100                              done clear
  B)
   105             done clear
  C)
   225 done clear
  D)
   250 done clear
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• question_answer32)
  The value of \[\left( \frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}+\frac{1}{255}+\frac{2}{323}+\frac{1}{399} \right)\]= ?
  A)
   \[\frac{2}{7}\]                          done clear
  B)
   \[\frac{6}{7}\]                done clear
  C)
   \[\frac{8}{7}\]                          done clear
  D)
   \[\frac{1}{7}\] done clear
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• question_answer33)
  The simplified value of \[\left( 1-\frac{1}{3} \right)\left( 1-\frac{1}{4} \right)\left( 1-\frac{1}{5} \right)......\left( 1-\frac{1}{200} \right)\]is
  A)
   \[\frac{2}{99}\]                      done clear
  B)
   \[\frac{1}{50}\]              done clear
  C)
   \[\frac{1}{100}\] done clear
  D)
   \[\frac{3}{200}\] done clear
  View Solution play_arrow

• question_answer34)
  The value of \[\left( 1+\frac{1}{2} \right)\left( 1+\frac{1}{3} \right)\left( 1+\frac{1}{4} \right).....\left( 1+\frac{1}{200} \right)\]is
  A)
   100.5 done clear
  B)
   40.5             done clear
  C)
   60.5                             done clear
  D)
   121 done clear
  View Solution play_arrow

• question_answer35)
  When simplified the product \[\left( 1-\frac{1}{2} \right)\left( 1-\frac{1}{3} \right)\left( 1-\frac{1}{4} \right)\left( 1-\frac{1}{5} \right)\left( 1-\frac{1}{6} \right).....\left( 1-\frac{1}{n} \right)\]
  A)
   \[\frac{1}{n}\]   done clear
  B)
   \[\frac{2}{n}\]              done clear
  C)
   \[\frac{2(n-1)}{n}\]                    done clear
  D)
   \[\frac{2}{n(n+1)}\] done clear
  View Solution play_arrow

• question_answer36)
  \[\mathbf{8}.\mathbf{3}\overline{\mathbf{1}}+\mathbf{0}.\overline{\mathbf{6}}+\mathbf{0}.\mathbf{00}\overline{\mathbf{2}}\]is equal to
  A)
   \[8.\overline{912}\]                    done clear
  B)
   \[8.9\overline{12}\]            done clear
  C)
   \[8.97\overline{9}\]                    done clear
  D)
   \[8.9\overline{79}\] done clear
  View Solution play_arrow

• question_answer37)
  If \[\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\]\[\frac{1}{90}+\frac{1}{110}+\frac{1}{132}+\frac{1}{156}+=\frac{a}{b}\] and HCF \[\mathbf{(a,}\,\,\mathbf{b)=1}\] then (a + b) = ?
  A)
   156  done clear
  B)
   162             done clear
  C)
   165                              done clear
  D)
   126 done clear
  View Solution play_arrow

• question_answer38)
  \[\left( \mathbf{0}\mathbf{.}\overline{\mathbf{11}}\mathbf{+0}\mathbf{.}\overline{\mathbf{22}} \right)\times \mathbf{30}=?\]
  A)
   20                                done clear
  B)
   10 done clear
  C)
   100                              done clear
  D)
   \[\frac{1}{10}\] done clear
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• question_answer39)
  The difference of \[5.\overline{76}\] and \[2.\overline{3}\] is
  A)
   \[2.\overline{54}\]                      done clear
  B)
   \[3.\overline{73}\]              done clear
  C)
   \[3.\overline{46}\]                      done clear
  D)
   \[3.\overline{43}\] done clear
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• question_answer40)
  Santosh divides his herd of n cows among his four sons so that the first son gets one- half the herd, the second son gets one-fourth, the third son gets one-fifth and the fourth son gets 7 cows. The value of n is.
  A)
   80                                done clear
  B)
   100             done clear
  C)
   140 done clear
  D)
   180 done clear
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