7th Class Mathematics Rational Numbers Question Bank

done Rational Number Total Questions - 42

• question_answer1)

  p: Every fraction is a rational number.

  q: Every rational number is a fraction.

  Which of the following is correct?
  A)
  p is true and q is false.   done clear
  B)
  p is false and q is true. done clear
  C)
  Both p and q are true. done clear
  D)
  Both p and q are false. done clear
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• question_answer2)
  Which of the following is not a rational number(s)?
  A)
  \[\frac{-2}{9}\]                  done clear
  B)
         \[\frac{4}{-7}\] done clear
  C)
  \[\frac{-3}{-17}\]                              done clear
  D)
         \[\frac{-3}{-17}\]   done clear
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• question_answer3)

  p: All integers are rational numbers.

  q: Every rational number is an integer.

  Which of the following statements is correct?
  A)
  p is false and q is true. done clear
  B)
  p is true and q is false.   done clear
  C)
  Both p and q are true. done clear
  D)
  Both p and q are false. done clear
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• question_answer4)
  What type of a number is \[\frac{-3}{0}\]?
  A)
  A positive rational number. done clear
  B)
  A negative rational number. done clear
  C)
  Either a positive or a negative rational number. done clear
  D)
  Neither a positive nor a negative rational number.   done clear
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• question_answer5)
  Which among the following is a rational number equivalent to \[\frac{5}{3}\]?
  A)
  \[\frac{-20}{15}\]             done clear
  B)
         \[\frac{25}{-15}\] done clear
  C)
  \[\frac{25}{15}\]                                 done clear
  D)
         \[\frac{15}{25}\] done clear
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• question_answer6)
  What type of a numerator does \[\frac{0}{7}\] have?
  A)
  Positive                             done clear
  B)
  Negative done clear
  C)
  Either positive or negative done clear
  D)
  Neither positive nor negative   done clear
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• question_answer7)
  Which of the following statements is true?
  A)
  \[\frac{3}{-8}>\frac{-12}{32}\] done clear
  B)
  \[\frac{3}{-8}=\frac{-12}{32}\]   done clear
  C)
  \[\frac{3}{-8}<\frac{-12}{32}\] done clear
  D)
  \[\frac{3}{5}>\frac{4}{3}\] done clear
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• question_answer8)
  If \[\frac{-4}{7}=\frac{-32}{x},\] what is the value of x?
  A)
  \[-56\]                    done clear
  B)
         \[56\] done clear
  C)
  \[46\]                    done clear
  D)
         \[-46\] done clear
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• question_answer9)
  Which is the greatest?
  A)
  \[\frac{-5}{11}\]                done clear
  B)
         \[\frac{5}{-12}\] done clear
  C)
  \[\frac{-5}{17}\]                                  done clear
  D)
         \[\frac{-5}{13}\] done clear
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• question_answer10)
  Which is the correct descending order of \[-2,\frac{4}{-5},\frac{-11}{20},\frac{3}{4}\]?
  A)
  \[\frac{3}{4}>-2>\frac{-11}{20}>\frac{4}{-5}\] done clear
  B)
  \[\frac{3}{4}>\frac{-11}{20}>\frac{-4}{5}>-2\]   done clear
  C)
  \[\frac{3}{4}>\frac{4}{-5}>-2>\frac{-11}{20}\] done clear
  D)
  \[\frac{3}{4}>\frac{4}{-5}>\frac{-11}{20}>-2\] done clear
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• question_answer11)
  What is the average of the two middle  rational numbers if \[\frac{4}{7},\frac{1}{3},\frac{2}{5}\] and                 \[\frac{5}{9}\] are arranged in ascending order?
  A)
  \[\frac{80}{90}\]                                               done clear
  B)
  \[\frac{86}{45}\] done clear
  C)
  \[\frac{43}{45}\]                               done clear
  D)
         \[\frac{43}{90}\]   done clear
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• question_answer12)
  What is the percentage of the least number in the greatest number of \[\frac{3}{5},\,\frac{9}{5},\,\frac{1}{5}\] and \[\frac{7}{5}\] ?
  A)
  \[11\frac{1}{9}%\]             done clear
  B)
  \[10%\] done clear
  C)
  \[20%\] done clear
  D)
         \[25%\] done clear
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• question_answer13)
  What is the difference between the greatest and 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)
  \[\frac{10}{9}\]                   done clear
  D)
         \[\frac{2}{3}\] done clear
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• question_answer14)
  Which of the following pairs represent the same rational number?
  A)
  \[\frac{-7}{21}\] and \[\frac{1}{3}\] done clear
  B)
  \[\frac{1}{3}\] and \[\frac{-1}{9}\] done clear
  C)
  \[\frac{-5}{-9}\] and \[\frac{5}{-9}\] done clear
  D)
  \[\frac{8}{-5}\] and \[\frac{-24}{15}\]   done clear
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• question_answer15)
  P: The quotient of two integers is always a rational number. Q : \[\frac{1}{0}\]is not rational. Which of the following statements is true?
  A)
  P is true and Q is the correct explanation of P.                   done clear
  B)
  P is false and Q is the correct explanation of P.   done clear
  C)
  P is true and Q is false. done clear
  D)
  Both P and Q are false. done clear
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• question_answer16)
  What is the result of \[2-\frac{11}{39}+\frac{5}{26}\]?
  A)
  \[\frac{149}{39}\]                             done clear
  B)
         \[\frac{149}{78}\]   done clear
  C)
  \[\frac{149}{76}\]                             done clear
  D)
         \[\frac{149}{98}\] done clear
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• question_answer17)
  Which is the equivalent of \[\frac{-143}{21}\]?
  A)
  \[-6+\frac{17}{21}\]        done clear
  B)
         \[6+\left( \frac{-17}{21} \right)\] done clear
  C)
  \[(-6)+\left( \frac{-17}{21} \right)\]            done clear
  D)
         \[-6\] done clear
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• question_answer18)
  of which property is\[\frac{-7}{5}+\left( \frac{2}{-11}+\frac{-13}{25} \right)=\left( \frac{-7}{5}+\frac{2}{-11} \right)+\frac{-13}{25}\] an example?
  A)
  Closure property done clear
  B)
  Commutative property done clear
  C)
  Associative property   done clear
  D)
  Identity property done clear
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• question_answer19)
  Which of the following statements is correct?
  A)
  0 is called the additive identity for rational numbers. done clear
  B)
  1 is called the multiplicative identity for rational numbers. done clear
  C)
  The additive inverse of 0 is zero itself. done clear
  D)
  All the above.   done clear
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• question_answer20)
  The sum of two rational numbers is \[-3\]. If one of the numbers is \[\frac{-7}{5},\] find the other number.
  A)
  \[\frac{-8}{5}\]                    done clear
  B)
         \[\frac{8}{5}\] done clear
  C)
  \[\frac{-6}{5}\]                  done clear
  D)
         \[\frac{6}{5}\] done clear
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• question_answer21)
  What number should be added to \[\frac{-5}{6}\] to get \[\frac{3}{2}\]?
  A)
  \[\frac{-7}{3}\]                  done clear
  B)
         \[2\frac{1}{3}\]     done clear
  C)
  \[\frac{8}{3}\]                                    done clear
  D)
         \[\frac{-8}{3}\] done clear
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• question_answer22)
  Which of the following statements is true?
  A)
  The reciprocals of 1 and \[-1\] are themselves. done clear
  B)
  Zero has no reciprocal. done clear
  C)
  The product of two rational numbers is a rational number. done clear
  D)
  All the above.   done clear
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• question_answer23)
  Name the property of multiplication illustrated by \[\frac{-4}{3}\times \left( \frac{-6}{5}+\frac{8}{7} \right)=\left( \frac{-4}{3}\times \frac{-6}{5} \right)+\left( \frac{-4}{3}\times \frac{8}{7} \right)\]
  A)
  Associative property done clear
  B)
  Commutative property done clear
  C)
  Distributive property   done clear
  D)
  Closure property done clear
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• question_answer24)
  What is the product of a rational number and its reciprocal?
  A)
  \[0\]                      done clear
  B)
         \[1\]      done clear
  C)
  \[-1\]                     done clear
  D)
         \[2\] done clear
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• question_answer25)
  The product of two rational numbers is \[\frac{-9}{16}\]. If one of the numbers is \[\frac{-4}{3}\] what is the other number?
  A)
  \[\frac{36}{48}\]                                               done clear
  B)
  \[\frac{25}{64}\] done clear
  C)
  \[\frac{27}{49}\]                               done clear
  D)
         \[\frac{27}{64}\]   done clear
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• question_answer26)
  By what rational number should \[\frac{-8}{39}\]. Be multiplied to obtain 26?
  A)
  \[\frac{507}{4}\] done clear
  B)
                         \[\frac{-507}{4}\]   done clear
  C)
  \[\frac{407}{4}\]                               done clear
  D)
         \[-\frac{407}{4}\] done clear
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• question_answer27)
  How many pieces of equal size can be cut from a rope of 30 metres long, each measuring \[3\frac{3}{4}\]metres?
  A)
  \[8\]                        done clear
  B)
         \[10\] done clear
  C)
  \[6\]                      done clear
  D)
         \[12\] done clear
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• question_answer28)
  Evaluate \[p+q\] given \[p=\left( -2\frac{1}{5} \right)\] and \[q=\left( -1\frac{1}{3} \right)\].
  A)
  \[1\frac{8}{15}\]                                               done clear
  B)
  \[\left( -3\frac{8}{15} \right)\]   done clear
  C)
  \[\left( -2\frac{8}{15} \right)\]    done clear
  D)
         \[3\frac{8}{15}\] done clear
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• question_answer29)
  Compute \[1\frac{1}{4}+\left( \frac{-8}{3} \right)-\left( \frac{-5}{9} \right)\].
  A)
  \[\frac{-31}{36}\]                               done clear
  B)
         \[\frac{13}{36}\] done clear
  C)
  \[\frac{15}{36}\]                               done clear
  D)
         \[\frac{-29}{36}\] done clear
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• question_answer30)
  Find the value of \[-6\frac{2}{3}\times \frac{2}{5}\]
  A)
  \[2\frac{2}{3}\]                                 done clear
  B)
  \[2\frac{1}{5}\] done clear
  C)
  \[-2\frac{2}{3}\]                  done clear
  D)
         \[-2\frac{1}{3}\] done clear
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• question_answer31)
  For what value of 'x' is\[\frac{7}{8}-\left( -\frac{11}{4} \right)+x=3\frac{7}{24}?\]
  A)
  \[\frac{-1}{3}\]                                    done clear
  B)
  \[\frac{1}{3}\] done clear
  C)
  \[\frac{2}{3}\]                    done clear
  D)
         \[-3\] done clear
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• question_answer32)
  Determine 'y' so that \[y-2\frac{1}{3}=\left( -3\frac{7}{12} \right)\].
  A)
  \[-1\frac{1}{4}\]                                  done clear
  B)
  \[1\frac{1}{4}\] done clear
  C)
  \[-1\frac{1}{12}\]             done clear
  D)
         \[1\frac{1}{12}\] done clear
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• question_answer33)
  Find the simplest form of \[\left( -\frac{1}{2}+\frac{1}{3}+\frac{1}{6} \right)\left( \frac{-2}{5} \right)\]
  A)
  \[\frac{-2}{5}\]                                  done clear
  B)
  \[0\]   done clear
  C)
  \[1\]                                      done clear
  D)
  \[\frac{2}{5}\] done clear
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• question_answer34)
  Rohit, Peter and Santosh walk around a circular park. They take . \[\frac{1}{3}h,\frac{2}{5}h,\]and \[\frac{5}{12}h\]to complete one round. What is the total time taken by them to complete a round in minutes?
  A)
  79 minutes   done clear
  B)
  50 minutes done clear
  C)
  60 minutes   done clear
  D)
  69 minutes   done clear
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• question_answer35)
  Find a rational number between \[\frac{3}{4}\] and \[\frac{9}{11}\].
  A)
  \[\frac{1}{2}\]                    done clear
  B)
         \[\frac{13}{11}\] done clear
  C)
  \[\frac{69}{88}\]                                                 done clear
  D)
  \[\frac{1}{4}\] done clear
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• question_answer36)
  What should be added to \[\frac{-7}{8}\] to get \[\frac{4}{9}\]?
  A)
  \[\frac{72}{95}\]                               done clear
  B)
         \[\frac{95}{72}\]   done clear
  C)
  \[\frac{-72}{95}\]                             done clear
  D)
         \[\frac{-95}{72}\] done clear
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• question_answer37)
  What should be subtracted from \[\frac{-2}{3}\]to get \[\frac{5}{6}\]?
  A)
  \[\frac{3}{2}\]                                    done clear
  B)
         \[\frac{-3}{2}\]     done clear
  C)
  \[\frac{2}{3}\]                    done clear
  D)
         \[\frac{-2}{3}\] done clear
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• question_answer38)
  What is the reciprocal of \[-8\]?
  A)
  \[8\]                                      done clear
  B)
  \[\frac{1}{8}\] done clear
  C)
  \[\frac{-1}{8}\]                    done clear
  D)
         \[-8\] done clear
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• question_answer39)
  What is the sum of the rational numbers \[\frac{2}{5}\] and \[\frac{-3}{7}\]?
  A)
  \[0\]                      done clear
  B)
         \[1\] done clear
  C)
  \[\frac{1}{35}\]                 done clear
  D)
         \[-\frac{1}{35}\]   done clear
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• question_answer40)
  By what number should \[\frac{-33}{8}\] be divided to get \[\frac{-11}{2}\]?
  A)
  \[\frac{-4}{3}\]                  done clear
  B)
         \[\frac{4}{3}\] done clear
  C)
  \[\frac{3}{4}\]                      done clear
  D)
         \[\frac{-3}{4}\] done clear
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• question_answer41)
  Express \[\left[ \frac{-1}{4}-\left( \frac{-1}{6} \right) \right]\div \left[ \frac{1}{3}+\left( \frac{1}{2} \right) \right]\] in the simplest form.
  A)
  \[\frac{-2}{3}\]                                  done clear
  B)
  \[\frac{1}{2}\]   done clear
  C)
  \[\frac{2}{3}\]                    done clear
  D)
         \[\frac{-1}{2}\] done clear
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• question_answer42)
  Given \[a=1\frac{5}{7},b=\frac{1}{4},c=\frac{1}{9}\]and \[d=\left( -1\frac{1}{4} \right),\] evaluate \[a(b-c)\div d\]
  A)
  \[\frac{-4}{21}\]                                  done clear
  B)
         \[\frac{-6}{23}\] done clear
  C)
  \[\frac{-5}{27}\]                                done clear
  D)
         \[\frac{4}{21}\] done clear
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