7th Class Mental Ability Rational Numbers Question Bank

done Rational Numbers Total Questions - 40

• question_answer1)
  What is the value of\[\frac{7}{8}+\frac{4}{5}+\frac{3}{10}\]?
  A)
   \[1\frac{39}{40}\]                              done clear
  B)
   \[1\frac{37}{40}\]      done clear
  C)
        \[1\frac{41}{40}\]                  done clear
  D)
        \[1\frac{33}{40}\]                  done clear
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• question_answer2)
  Find the value of \[\frac{1}{3}-\frac{1}{4}+\frac{1}{2}+\frac{1}{6}-\frac{2}{3}\].
  A)
   \[\frac{1}{6}\]                                    done clear
  B)
   \[\frac{1}{4}\]                        done clear
  C)
   \[\frac{1}{12}\]                      done clear
  D)
        \[\frac{1}{3}\] done clear
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• question_answer3)
  Identify the simplest value of\[2\frac{1}{5}-5\frac{1}{3}+4\frac{1}{2}\].
  A)
   \[1\frac{11}{16}\]                              done clear
  B)
   \[1\frac{11}{30}\]      done clear
  C)
        \[2\frac{11}{30}\]      done clear
  D)
        \[2\frac{11}{16}\]                  done clear
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• question_answer4)
  Subtract \[3\frac{1}{7}\] from the sum of \[\frac{4}{21}\] and \[2\frac{3}{14}\].
  A)
   \[\frac{-31}{42}\]                  done clear
  B)
   \[\frac{-31}{46}\]      done clear
  C)
        \[\frac{-33}{21}\]      done clear
  D)
                    \[\frac{-31}{54}\]                  done clear
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• question_answer5)
  Find the value of\[\left( -\frac{2}{3} \right)+\left[ \frac{1}{2}-\left( -\frac{1}{3} \right) \right]\].
  A)
   \[\frac{3}{2}\]                        done clear
  B)
   \[\frac{3}{5}\]            done clear
  C)
        \[\frac{9}{5}\]            done clear
  D)
        \[\frac{1}{6}\]                        done clear
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• question_answer6)
  Find the value when \[1\frac{4}{5}\] is added to the product of \[3\frac{1}{2}\] and \[\left( -5\frac{1}{7} \right)\].
  A)
   \[18\frac{1}{5}\]                    done clear
  B)
  \[-16\frac{1}{5}\]       done clear
  C)
        \[-17\frac{1}{5}\]      done clear
  D)
        \[16\frac{1}{5}\]                    done clear
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• question_answer7)
  If M = 9, N =\[\frac{33}{5}\times \frac{15}{11}\], find the value of\[\frac{\text{M}}{\text{N}}\].
  A)
   1         done clear
  B)
   9         done clear
  C)
        3         done clear
  D)
        6         done clear
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• question_answer8)
  Find a rational number equivalent to \[\frac{-24}{20}\] with denominator 25.
  A)
   \[\frac{-30}{25}\]                  done clear
  B)
   \[\frac{30}{25}\]                    done clear
  C)
   \[\frac{-29}{25}\]      done clear
  D)
        \[\frac{-19}{25}\]                  done clear
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• question_answer9)
  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_answer10)
  Which point on the number line best represents 1.35?
  A)
    done clear
  B)
    done clear
  C)
    done clear
  D)
    done clear
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• question_answer11)
  If \[\frac{x}{y}=\frac{6}{5}\]what is the value of\[\frac{{{x}^{2}}+{{y}^{2}}}{{{x}^{2}}-{{y}^{2}}}\]?
  A)
   \[\frac{36}{25}\]                                done clear
  B)
   \[\frac{25}{36}\]                    done clear
  C)
   \[\frac{61}{11}\]                    done clear
  D)
        \[\frac{11}{61}\] done clear
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• question_answer12)
  Observe the given number line. What is the value of y   x?
  A)
   \[\frac{5}{6}\]                        done clear
  B)
  \[1\frac{1}{6}\]           done clear
  C)
        \[9\frac{2}{3}\]          done clear
  D)
        \[9\frac{5}{6}\]                      done clear
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• question_answer13)
  Identify the correct descending order of \[\frac{-1}{2},\frac{-2}{3}\] and \[\frac{-3}{5}\].
  A)
   \[\frac{-2}{3},\frac{-3}{5},\frac{-1}{2}\]                done clear
  B)
   \[\frac{-1}{2},\frac{-2}{3},\frac{-3}{5}\]    done clear
  C)
   \[\frac{-1}{2},\frac{-3}{5},\frac{-2}{5}\]    done clear
  D)
        \[\frac{-2}{3},\frac{-1}{2},\frac{-3}{5}\]                done clear
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• question_answer14)
  Find the value of \[\left( 8\frac{1}{4}-3\frac{2}{3} \right)\times \frac{6}{11}\].
  A)
   2.5                              done clear
  B)
   1.5     done clear
  C)
        1                     done clear
  D)
        2 done clear
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• question_answer15)
  Identify the correct ascending order of the rational numbers \[\frac{-3}{5},\frac{7}{-10}\] and \[\frac{-5}{6}\].
  A)
   \[\frac{-3}{5},\frac{-5}{6},\frac{-7}{10}\]                          done clear
  B)
   \[\frac{-5}{6},\frac{7}{-10},\frac{-3}{5}\] done clear
  C)
                    \[\frac{-7}{10},\frac{-3}{5},\frac{-5}{6}\]  done clear
  D)
        \[\frac{-5}{6},\frac{-3}{5},\frac{-7}{10}\]  done clear
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• question_answer16)
  Find the additive inverse of \[\frac{1}{6}\].
  A)
           6                                 done clear
  B)
   -6        done clear
  C)
        \[\frac{-1}{6}\]          done clear
  D)
        0 done clear
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• question_answer17)
  The sum of two rational numbers is \[\frac{1}{9}\]. If one of the numbers is \[\frac{-2}{3}\], find the other number.
  A)
   \[\frac{5}{9}\]                        done clear
  B)
   \[\frac{7}{9}\]            done clear
  C)
        \[\frac{4}{9}\]            done clear
  D)
        \[\frac{8}{9}\] done clear
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• question_answer18)
  What is the additive inverse of \[54+(-82)+(-18)\]?
  A)
   40                               done clear
  B)
   -100                done clear
  C)
        -46                  done clear
  D)
        46 done clear
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• question_answer19)
  The H.C.F. of two numbers is 23 and their LC.M. is 1449. If one of the numbers is 161, find the other number.                       
  A)
   217                 done clear
  B)
        227                 done clear
  C)
        207                 done clear
  D)
        187 done clear
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• question_answer20)
  The product of two rational numbers is\[\frac{-5}{8}\] . If one of the numbers is\[\frac{-3}{8}\], find the other.
  A)
   \[\frac{5}{3}\]                        done clear
  B)
   \[\frac{3}{5}\]            done clear
  C)
         \[\frac{3}{8}\]           done clear
  D)
        \[\frac{5}{8}\] done clear
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• question_answer21)
  Vijay can walk \[1\frac{8}{5}\] km in an hour. How much distance will he cover in \[7\frac{1}{2}\] hours?
  A)
   12 km                         done clear
  B)
   15km              done clear
  C)
        27 km             done clear
  D)
        30km done clear
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• question_answer22)
  Find the reciprocal of\[\frac{6}{5}\times \left( \frac{-35}{48} \right)\] .
  A)
   \[\frac{-8}{7}\]                      done clear
  B)
  \[\frac{1}{2}\]             done clear
  C)
        \[\frac{-1}{4}\]          done clear
  D)
        \[\frac{1}{2}\] done clear
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• question_answer23)
  Identify three rational numbers between\[\frac{1}{3}\] , and\[\frac{4}{5}\] .
  A)
   \[\frac{-1}{4},\frac{-2}{5},\frac{1}{6}\]                 done clear
  B)
   \[\frac{2}{5},\frac{1}{2},and\frac{3}{5}\]  done clear
  C)
        \[\frac{-2}{3},\frac{-1}{5},\frac{-1}{8}\]        done clear
  D)
       \[\frac{1}{4},\frac{1}{5},\frac{1}{6}\] done clear
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• question_answer24)
  The product of two rational numbers is\[\frac{-28}{81}\]. If one of the numbers is\[\frac{14}{27}\], find the other.
  A)
   \[\frac{-3}{4}\]                      done clear
  B)
   \[\frac{2}{3}\]            done clear
  C)
   \[\frac{3}{5}\]            done clear
  D)
        \[\frac{-2}{3}\] done clear
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• question_answer25)
  By what number should we multiply\[\frac{-16}{21}\], so that the product is\[\frac{4}{7}\]?
  A)
   \[\frac{-3}{4}\]                      done clear
  B)
   \[\frac{-1}{4}\]          done clear
  C)
        \[\frac{3}{5}\]            done clear
  D)
        \[\frac{2}{5}\] done clear
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• question_answer26)
  By what number should we divide\[\left( \frac{-17}{45} \right)\], so that the resultant is\[\frac{-51}{15}\]?
  A)
   \[\frac{-5}{9}\]                      done clear
  B)
   \[\frac{-2}{9}\]          done clear
  C)
        \[\frac{4}{9}\]            done clear
  D)
        \[\frac{1}{9}\] done clear
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• question_answer27)
  A tin contains 18 kg ghee. After consuming\[\frac{2}{3}\], of it, how much ghee is left in the tin?
  A)
   8 kg                             done clear
  B)
   6 kg                 done clear
  C)
        12 kg               done clear
  D)
        9 kg done clear
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• question_answer28)
  Find the L.C.M. of \[\frac{2}{3},\frac{3}{5},\frac{4}{7}\]and \[\frac{9}{13}\]
  A)
   36                   done clear
  B)
   \[\frac{1}{36}\]          done clear
  C)
   \[\frac{1}{1365}\]      done clear
  D)
        \[\frac{12}{455}\] done clear
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• question_answer29)
  Find the product of \[\frac{-4}{7},\frac{63}{8},\left( \frac{46}{81} \right)\]and\[(-27)\].
  A)
   -36                              done clear
  B)
   -69                  done clear
  C)
   -48     done clear
  D)
        24 done clear
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• question_answer30)
  X is a number which can be written in the form of \[\frac{\text{p}}{\text{q}};q\ne 0\]what is X?
  A)
   A rational number        done clear
  B)
   A natural number done clear
  C)
   An irrational number     done clear
  D)
   A complex number done clear
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• question_answer31)
  The fractions \[\frac{17}{18},\frac{31}{36},\frac{43}{45}\] and \[\frac{59}{60}\]are in the ascending order. Identify the correct order.
  A)
   \[\frac{31}{36},\frac{17}{18},\frac{43}{45},\frac{59}{60}\]                    done clear
  B)
   \[\frac{59}{60},\frac{43}{45},\frac{17}{18},\frac{71}{36}\] done clear
  C)
   \[\frac{31}{36},\frac{43}{45},\frac{17}{18},\frac{39}{60}\] done clear
  D)
   \[\frac{43}{45},\frac{31}{36},\frac{59}{60},\frac{17}{18}\] done clear
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• question_answer32)
  If a rational number \[\frac{x}{y}<1\], where x and y are both positive integers, which of the following is greater than 1 ?
  A)
   \[\frac{x}{2y}\]                      done clear
  B)
   \[\frac{x}{{{y}^{2}}}\]     done clear
  C)
        \[\frac{y}{x}\]            done clear
  D)
        \[x-y\]              done clear
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• question_answer33)
  What should be added to \[\frac{-7}{12}\] so as to get\[\frac{9}{16}\]?
  A)
   \[1\frac{7}{48}\]                                done clear
  B)
   \[1\frac{9}{48}\]        done clear
  C)
        \[\frac{48}{55}\]                    done clear
  D)
        \[1\frac{5}{48}\]        done clear
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• question_answer34)
  Simplify the expression\[\left( 3\frac{1}{4}\times 4\frac{1}{3} \right)+\left( 2\frac{1}{3}+\frac{1}{6} \right)\].
  A)
   \[17\frac{7}{12}\]                              done clear
  B)
  \[7\frac{7}{12}\]         done clear
  C)
   \[17\frac{5}{12}\]      done clear
  D)
   \[16\frac{7}{12}\]                  done clear
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• question_answer35)
  Which of the following pairs of fractions add up to a number greater than 5?
  A)
   \[\frac{5}{3},\frac{3}{4}\]                done clear
  B)
        \[\frac{7}{3},\frac{11}{3}\] done clear
  C)
   \[\frac{11}{4},\frac{8}{3}\]              done clear
  D)
        \[\frac{13}{5},\frac{11}{6}\]                        done clear
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• question_answer36)
  Find the missing number. \[\frac{\text{3}}{\text{5}}\text{ of }\frac{\text{4}}{\text{7}}\text{ of }\frac{\text{5}}{\text{9}}\text{ of }\frac{\text{21}}{\text{24}}\text{ of 504 = }\text{ }\]
  A)
   84                               done clear
  B)
   69       done clear
  C)
   96                   done clear
  D)
        109     done clear
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• question_answer37)
   If\[\text{a : b = 3 : 5}\], find the ratio of \[\text{a-b : a+b}\].
  A)
   \[\frac{-1}{4}\]                      done clear
  B)
   \[\frac{1}{4}\]            done clear
  C)
   -4        done clear
  D)
   4                     done clear
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• question_answer38)
  Which property of multiplication is 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_answer39)
  Identify the missing number that makes the given equation true. \[4\frac{1}{2}+3\frac{1}{6}++2\frac{1}{3}=13\frac{2}{5}\]
  A)
   \[2\frac{3}{5}\]                      done clear
  B)
   \[3\frac{2}{5}\]          done clear
  C)
        \[2\frac{2}{5}\]          done clear
  D)
        \[3\frac{3}{5}\]                      done clear
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• question_answer40)
  A person travels 3.5 km from place A to place B. Out of this distance, he travels\[1\frac{2}{3}\], km on bicycle,\[1\frac{1}{6}\] km on scooter and the rest on foot. What fraction of the distance does he cover on foot?
  A)
   \[\frac{3}{19}\]                      done clear
  B)
   \[\frac{4}{11}\]          done clear
  C)
   \[\frac{4}{21}\]          done clear
  D)
        \[\frac{2}{3}\] done clear
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