8th Class Mathematics Rational Numbers Question Bank

done Rational Numbers Total Questions - 45

• question_answer1)
  Which of the following statements is true?
  A)
  Every fraction is a rational number.                      done clear
  B)
  Every rational number is a fraction. done clear
  C)
  Every integer is a rational number. done clear
  D)
  Both (a) and (c). done clear
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• question_answer2)
  Compare \[\frac{-8}{9}\] and \[\frac{4}{-5}\]
  A)
   \[\frac{-8}{9}>\frac{-4}{5}\] done clear
  B)
                          \[\frac{-4}{5}<\frac{-8}{9}\] done clear
  C)
                          \[\frac{-8}{9}=\frac{-4}{5}\] done clear
  D)
                          \[\frac{-8}{9}<\frac{-4}{5}\] done clear
  View Solution play_arrow

• question_answer3)
  How is \[\frac{-28}{84}\] expressed as a rational number with numerator 4?
  A)
   \[\frac{4}{7}\]                                                   done clear
  B)
                          \[-\frac{4}{12}\]                               done clear
  C)
                          \[\frac{4}{12}\]                                done clear
  D)
                          \[\frac{4}{-7}\] done clear
  View Solution play_arrow

• question_answer4)
  A Which of the following sets of rational numbers is arranged in ascending order?
  A)
   \[-\frac{5}{14},-\frac{25}{28},-\frac{3}{7},-\frac{1}{2}\] done clear
  B)
                          \[-\frac{25}{28},\frac{-5}{14},\frac{-3}{7},-\frac{1}{2}\] done clear
  C)
                          \[-\frac{25}{28},-\frac{1}{2},-\frac{3}{7},-\frac{5}{14}\] done clear
  D)
                          \[-\frac{1}{2},\frac{-3}{7},\frac{-5}{14},\frac{-25}{28}\] done clear
  View Solution play_arrow

• question_answer5)
  Which of the following statements is false?
  A)
   \[\frac{5}{7}<\frac{7}{9}<\frac{9}{11}<\frac{11}{13}\] done clear
  B)
                          \[\frac{11}{13}<\frac{9}{11}<\frac{7}{9}<\frac{5}{7}\] done clear
  C)
                                          \[\frac{5}{7}<\frac{11}{13}<\frac{7}{9}<\frac{9}{11}\] done clear
  D)
                                           Both (b) & (c)                         done clear
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• question_answer6)
  Which of the following is a rational number between \[\frac{1}{4}\]and \[\frac{1}{3}\] ?              
  A)
   \[\frac{7}{24}\] done clear
  B)
                          \[\frac{8}{15}\] done clear
  C)
                          \[\frac{13}{48}\] done clear
  D)
                          Both (a) & (c)            done clear
  View Solution play_arrow

• question_answer7)
  Which of the following is the correct arrangement of \[\frac{-11}{15},\frac{-3}{10},\frac{-1}{5}\]and \[\frac{13}{20}\]in descending order?
  A)
   \[\frac{13}{20},\frac{-1}{5},\frac{-11}{15},\frac{-3}{10}\] done clear
  B)
                          \[\frac{13}{20},\frac{-1}{5},\frac{-3}{10},\frac{-11}{15}\] done clear
  C)
                          \[\frac{13}{20},\frac{-11}{15},\frac{-3}{10},\frac{1}{5}\] done clear
  D)
                          \[\frac{13}{20},\frac{-3}{10},\frac{-11}{15},\frac{1}{5}\] done clear
  View Solution play_arrow

• question_answer8)
  Simplify  \[\frac{2}{5}+\frac{8}{3}+\frac{-11}{15}+\frac{4}{5}+\frac{-2}{3}\]
  A)
   \[\frac{37}{15}\]                                              done clear
  B)
                          \[\frac{-37}{15}\]            done clear
  C)
                          \[\frac{-36}{5}\]                                               done clear
  D)
                          \[\frac{-38}{3}\]                               done clear
  View Solution play_arrow

• question_answer9)
  What is the sum of the additive inverse and multiplicative inverse of 2?
  A)
   \[\frac{3}{2}\]                                   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_answer10)
  Subtract \[\frac{2}{3}\] from \[\frac{7}{8}\] .
  A)
   \[\frac{-5}{24}\]                               done clear
  B)
                          \[\frac{5}{24}\]                done clear
  C)
                          \[\frac{7}{16}\]                                done clear
  D)
                          \[\frac{5}{16}\] done clear
  View Solution play_arrow

• question_answer11)
  Which among the following is a rational number equivalent to \[\frac{-5}{-3}\]?
  A)
   \[\frac{-25}{15}\]                            done clear
  B)
                          \[\frac{25}{-15}\]                            done clear
  C)
                          \[\frac{25}{15}\]                                              done clear
  D)
                          \[\frac{-25}{30}\]                            done clear
  View Solution play_arrow

• question_answer12)
  If \[\frac{(-3)}{x}=\frac{x}{(-27)},\]'what is the Positive value of y?
  A)
   \[-9\]                    done clear
  B)
                          \[9\]                     done clear
  C)
                          \[-81\]                                done clear
  D)
                          \[8\] done clear
  View Solution play_arrow

• question_answer13)
  Which number is in the middle if  \[\frac{-1}{6},\frac{4}{9},\frac{6}{-7},\frac{2}{5}\] and \[\frac{-3}{4}\]arranged in descending order?
  A)
   \[\frac{2}{5}\]                                                   done clear
  B)
                          \[\frac{4}{9}\]                   done clear
  C)
                          \[\frac{-1}{6}\]                                 done clear
  D)
                          \[\frac{-6}{7}\] done clear
  View Solution play_arrow

• question_answer14)
  What is the average of the two middle rational numbers when \[\frac{4}{-9},\frac{-6}{9},\frac{5}{9},\frac{-7}{9},\frac{8}{9}\] and \[\frac{1}{9}\] are arranged in ascending order?
  A)
   \[\frac{1}{8}\]                                                   done clear
  B)
                          \[\frac{2}{7}\]                   done clear
  C)
                          \[\frac{-3}{7}\]                                 done clear
  D)
                          \[\frac{-1}{6}\]                 done clear
  View Solution play_arrow

• question_answer15)
  Subtract \[\frac{-5}{9}\]from \[\frac{-3}{7}\].
  A)
   \[\frac{62}{63}\]                                              done clear
  B)
                          \[\frac{8}{63}\]                done clear
  C)
                          \[\frac{-8}{63}\]                                               done clear
  D)
                          \[\frac{-62}{63}\] done clear
  View Solution play_arrow

• question_answer16)
  What number should be added to \[\frac{-4}{7}\]to get \[\frac{5}{9}\]?
  A)
   \[\frac{-71}{63}\]                            done clear
  B)
                          \[\frac{71}{63}\]                              done clear
  C)
                          \[\frac{1}{63}\]                                done clear
  D)
                          \[\frac{-1}{63}\] done clear
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• question_answer17)
  What should be subtracted from \[\frac{-7}{11}\] to get \[-2\]?                     
  A)
                   \[\frac{15}{11}\]                                              done clear
  B)
                          \[\frac{-15}{11}\]                            done clear
  C)
                                          \[\frac{29}{11}\]                                              done clear
  D)
                          \[\frac{-29}{11}\] done clear
  View Solution play_arrow

• question_answer18)
  By what rational number should \[\frac{-3}{5}\] be multiplied to obtain 21?
  A)
   \[\frac{507}{4}\]                              done clear
  B)
                          \[35\]   done clear
  C)
                          \[-35\]                 done clear
  D)
                          \[507\] done clear
  View Solution play_arrow

• question_answer19)
  The sum of two rational numbers is \[-3\]. If one of them is \[\frac{-11}{5},\] find the other.
  A)
   \[\frac{-4}{5}\]                                 done clear
  B)
                          \[\frac{-8}{5}\]                 done clear
  C)
                          \[\frac{4}{5}\]                   done clear
  D)
                          \[\frac{8}{5}\]                   done clear
  View Solution play_arrow

• question_answer20)
  Which of the following is the resultant of \[\frac{1}{12}+\frac{-1}{3}+\frac{-1}{6}+\frac{-5}{7}+\frac{3}{4}+\frac{10}{7}\]?
  A)
   \[1\frac{1}{21}\]                              done clear
  B)
                          \[-1\]                    done clear
  C)
                          \[0\]                                     done clear
  D)
                          \[1\] done clear
  View Solution play_arrow

• question_answer21)
  Find four rational numbers between \[\frac{1}{6}\]and \[\frac{1}{3}\].
  A)
   \[\frac{-1}{4},\frac{7}{24},\frac{13}{48},\frac{-27}{96}\] done clear
  B)
                          \[\frac{1}{4},\frac{-7}{24},\frac{13}{48},\frac{27}{96}\] done clear
  C)
                          \[\frac{1}{4},\frac{7}{24},\frac{-13}{48},\frac{27}{96}\] done clear
  D)
                          \[\frac{1}{4},\frac{7}{24},\frac{13}{48},\frac{27}{96}\] done clear
  View Solution play_arrow

• question_answer22)
  Which of the following numbers must be added to \[\frac{-5}{16}\]to get \[\frac{7}{24}\] ?
  A)
   \[\frac{21}{28}\]                                              done clear
  B)
                          \[\frac{-29}{48}\]            done clear
  C)
                          \[\frac{15}{48}\]                                              done clear
  D)
                          \[\frac{29}{48}\]              done clear
  View Solution play_arrow

• question_answer23)
  Which of the following numbers must be subtracted from \[\frac{7}{-8}\] to get \[\frac{-13}{12}\]?
  A)
   \[\frac{5}{24}\]                                done clear
  B)
                          \[\frac{9}{24}\] done clear
  C)
                          \[\frac{-7}{24}\]                                               done clear
  D)
                          \[\frac{-5}{24}\] done clear
  View Solution play_arrow

• question_answer24)
  What is the resultant obtained when the additive inverse of \[\frac{5}{6}\] is subtracted from the multiplicative inverse of \[\frac{-5}{7}\times \frac{14}{15}\] ?
  A)
   \[\frac{3}{2}\]                                                   done clear
  B)
                          \[\frac{-2}{3}\]                                 done clear
  C)
                          \[\frac{-3}{2}\]                                 done clear
  D)
                          \[\frac{2}{3}\] done clear
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• question_answer25)
  Which of the following are three rational numbers between \[-2\] and \[-1\]?
  A)
   \[\frac{-1}{2},\frac{-1}{3},\frac{-1}{5}\] done clear
  B)
                          \[\frac{-3}{2},\frac{-7}{4},\frac{-5}{4}\] done clear
  C)
                          \[\frac{-12}{5},\frac{-22}{5},\frac{12}{5}\] done clear
  D)
                          \[\frac{3}{2},\frac{7}{4},\frac{5}{4}\] done clear
  View Solution play_arrow

• question_answer26)
  What is the simplified form of \[\left( \frac{-9}{7}\times \frac{-1}{3} \right)+\left( \frac{15}{8}\times \frac{4}{5} \right)-\left( \frac{27}{14}\times \frac{2}{9} \right)\]?                
  A)
           \[\frac{3}{2}\]                                   done clear
  B)
                          \[\frac{-3}{7}\]                 done clear
  C)
                                          \[\frac{-3}{2}\]                                 done clear
  D)
                          \[\frac{3}{7}\] done clear
  View Solution play_arrow

• question_answer27)
  The product of two numbers is \[\frac{5}{9}\]. If one of the numbers is \[\frac{-35}{24},\] find the other.
  A)
   \[\frac{8}{7}\]                                   done clear
  B)
                          \[\frac{-8}{21}\]                               done clear
  C)
                          \[\frac{-3}{7}\]                                 done clear
  D)
                          \[\frac{8}{21}\] done clear
  View Solution play_arrow

• question_answer28)
  The area of a rectangle is \[45\frac{5}{16}c{{m}^{2}}\]. If one edge is \[6\frac{1}{4}cm,\] find the other in cm.
  A)
   \[7\frac{1}{8}\]                                done clear
  B)
                          \[\frac{7}{4}\]                   done clear
  C)
                          \[7\frac{1}{4}\]                                done clear
  D)
                          \[4\frac{1}{7}\] done clear
  View Solution play_arrow

• question_answer29)
  Evaluate \[\left( \frac{\frac{1}{6}-\frac{17}{18}}{\frac{5}{7}} \right)\].
  A)
   \[\frac{49}{45}\]                                              done clear
  B)
                          \[-1\frac{4}{45}\]                            done clear
  C)
                          \[\frac{45}{49}\]                                              done clear
  D)
                          \[1\frac{4}{45}\] done clear
  View Solution play_arrow

• question_answer30)
  What is the multiplicative inverse of 0?
  A)
   \[\frac{1}{0}\]                                   done clear
  B)
                          \[0\] done clear
  C)
                          Does not exist                  done clear
  D)
                                          \[\frac{0}{0}\] done clear
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• question_answer31)
  Arrange \[\frac{-4}{5},\frac{9}{-15}\] and \[\frac{-2}{3}\] in descending order.
  A)
   \[\frac{9}{-15},\frac{-2}{3},\frac{-4}{5}\] done clear
  B)
                          \[\frac{-2}{3},\frac{-4}{5},\frac{-9}{15}\] done clear
  C)
                          \[\frac{9}{-15},\frac{-4}{5},\frac{-2}{3}\] done clear
  D)
                          \[\frac{-2}{3},\frac{-9}{15},\frac{-4}{5}\] done clear
  View Solution play_arrow

• question_answer32)
  Simplify \[\frac{4}{7}+0+\frac{-8}{9}+\frac{-13}{7}+\frac{17}{21}\]
  A)
   \[\frac{-56}{63}\]                            done clear
  B)
                          \[\frac{-86}{63}\]            done clear
  C)
                          \[\frac{86}{63}\]                                              done clear
  D)
                          \[\frac{56}{63}\]                              done clear
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• question_answer33)
  What is the sum of the greatest and the least numbers of \[\frac{5}{9},\frac{1}{9}\] and \[\frac{11}{9}\]?
  A)
   \[\frac{2}{9}\]                                   done clear
  B)
                          \[\frac{4}{9}\]                   done clear
  C)
                          \[\frac{4}{3}\]                                   done clear
  D)
                          \[\frac{2}{3}\] done clear
  View Solution play_arrow

• question_answer34)
  Find the value of \[\left( \frac{5}{9}\div \frac{15}{36} \right)\div \left( \frac{-5}{6} \right)\].
  A)
   \[\frac{-4}{3}\]                                 done clear
  B)
                          \[\frac{3}{5}\]                   done clear
  C)
                          \[\frac{-8}{5}\]                                 done clear
  D)
                          \[\frac{-3}{8}\] done clear
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• question_answer35)
  State which of the numbers given in the box are rational.

  (i) \[\sqrt{2}\times \sqrt{8}\]

  (ii) \[\frac{22}{7}\]

  (iii) \[2\sqrt{3}\]

  (iv) \[\pi \]

  A)
   (i) and (ii) only done clear
  B)
                          (i) and (iii) only done clear
  C)
                          (ii) and (iv) only done clear
  D)
                          (iii) and (iv) only done clear
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• question_answer36)
  Which of the following is not a rational number?
  A)
   \[\frac{3}{17}\]                                done clear
  B)
                          \[\frac{-4}{19}\]                               done clear
  C)
                          \[-\frac{0}{8}\]                                 done clear
  D)
                          \[\frac{3}{0}\] done clear
  View Solution play_arrow

• question_answer37)
  Find the difference of \[\left( \frac{3}{4}+\frac{1}{3}+\frac{2}{5} \right)\] and \[\frac{59}{60}\].
  A)
           \[\frac{3}{4}\]                                   done clear
  B)
                          \[\frac{1}{2}\]                                                   done clear
  C)
                                          \[\frac{-4}{3}\]                                 done clear
  D)
                          \[\frac{-1}{4}\] done clear
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• question_answer38)
  What is the product of \[\frac{-55}{72}\] and \[\frac{-90}{11}\]?
  A)
   \[-6\frac{1}{4}\]                               done clear
  B)
                          \[6\frac{1}{4}\]                done clear
  C)
                          \[4\frac{1}{6}\]                                done clear
  D)
                          \[-4\frac{1}{6}\] done clear
  View Solution play_arrow

• question_answer39)
  What is the number that is to be subtracted from \[\frac{7}{-8}\] to get \[\frac{-13}{12}\]?
  A)
   \[\frac{5}{12}\]                                done clear
  B)
                          \[\frac{5}{24}\]                done clear
  C)
                          \[\frac{-5}{24}\]                                               done clear
  D)
                          \[\frac{-5}{12}\] done clear
  View Solution play_arrow

• question_answer40)
  What is the simplified form of \[\frac{1}{6}+\frac{-3}{5}+\frac{-8}{15}+\frac{2}{3}\]?
  A)
   \[3\frac{1}{10}\]                              done clear
  B)
                          \[\frac{-3}{10}\]                               done clear
  C)
                          \[-3\frac{1}{10}\]                                            done clear
  D)
                          \[\frac{3}{10}\] done clear
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• question_answer41)
  The product of two rational numbers is  \[\frac{15}{16}\]. If one of the numbers is \[\frac{5}{4},\] what is the other number?
  A)
   \[\frac{75}{64}\]                                              done clear
  B)
                          \[\frac{25}{64}\]              done clear
  C)
                          \[\frac{25}{4}\]                done clear
  D)
                          \[\frac{3}{4}\] done clear
  View Solution play_arrow

• question_answer42)
  Find the number which when added to  \[\frac{1}{8}\] results in \[\frac{5}{18}\].
  A)
   \[\frac{11}{72}\]   done clear
  B)
                          \[\frac{2}{9}\]                                   done clear
  C)
                          \[\frac{4}{7}\]                                                   done clear
  D)
                          \[\frac{5}{72}\] done clear
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• question_answer43)
  A recipe for French toast needs \[\frac{3}{4}\] litres of milk. If you want to make only \[\frac{2}{3}\] of the recipe, how much milk should you use?                                  
  A)
   \[\frac{1}{7}\,l\]                                              done clear
  B)
                          \[\frac{1}{5}\,l\]                              done clear
  C)
                          \[\frac{2}{3}\,l\]                                              done clear
  D)
                          \[\frac{1}{2}\,l\] done clear
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• question_answer44)
  Which of the following is the correct descending order of \[\frac{-3}{4},\frac{-1}{2},\frac{3}{8}\] and \[\frac{5}{6}\]?
  A)
   \[\frac{-3}{4},\frac{-1}{2},\frac{5}{6},\frac{3}{8}\] done clear
  B)
                          \[\frac{-3}{4},\frac{-1}{2},\frac{3}{8},\frac{5}{6}\] done clear
  C)
                          \[\frac{5}{6},\frac{3}{8},\frac{-1}{2},\frac{-3}{4}\] done clear
  D)
                          \[\frac{-1}{2},\frac{-3}{4},\frac{3}{8},\frac{5}{6}\] done clear
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• question_answer45)
  The sum of two rational numbers is \[-5\]. If one of the numbers is \[\frac{-3}{5},\] what is the other number?
  A)
   \[-4\frac{2}{5}\]               done clear
  B)
                          \[4\frac{8}{5}\]                done clear
  C)
                          \[\frac{-6}{5}\]                                 done clear
  D)
                          \[4\frac{6}{5}\] done clear
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