7th Class Mental Ability Decimals and Fractions Question Bank

done Fractions and Decimals Total Questions - 40

• question_answer1)
  What is the value of\[2\frac{3}{4}+3\frac{1}{2}+6\frac{3}{8}\]?
  A)
   \[12\frac{1}{8}\]                                done clear
  B)
  \[11\frac{5}{8}\]                     done clear
  C)
   \[12\frac{5}{8}\]        done clear
  D)
        \[11\frac{1}{8}\]                    done clear
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• question_answer2)
  Given that A = \[\left( \frac{2}{3}+1\frac{2}{3} \right)\], and B = \[\left( 6\frac{1}{3}+2\frac{1}{4} \right)\], .Find the value of A -B.
  A)
   \[6\frac{1}{4}\]                      done clear
  B)
   \[-6\frac{1}{4}\]        done clear
  C)
        \[1\frac{3}{4}\]          done clear
  D)
        \[-1\frac{3}{4}\] done clear
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• question_answer3)
  Mohan, Jeevan and Rohan walk around a circular track. They take\[\frac{\text{1}}{\text{3}}\text{h}\], \[\frac{\text{2}}{\text{5}}\text{h}\]and \[\frac{5}{12}\text{h}\]to complete a round respectively. Find the total time taken by the three persons to complete a round.
  A)
   \[\text{1}\frac{\text{7}}{\text{10}}\text{h}\]                        done clear
  B)
   \[\text{1}\frac{3}{20}\text{h}\]         done clear
  C)
        \[\text{1}\frac{2}{15}\text{h}\]         done clear
  D)
        \[\text{1}\frac{\text{1}}{\text{13}}\text{h}\]                        done clear
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• question_answer4)
  Find the value of\[\frac{7}{8}-\left( -\frac{11}{4} \right)+\left( -\frac{1}{3} \right)\].
  A)
   \[3\frac{7}{24}\]                    done clear
  B)
   \[3\frac{1}{24}\]        done clear
  C)
        \[3\frac{5}{24}\]        done clear
  D)
        \[3\frac{5}{12}\]                   done clear
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• question_answer5)
  Dinesh has \[1\frac{1}{2}\] bags of paper clips. One full bag had 32 packs paper clips and pack had 10 paper clips in it. Which expression could be used to find the total number of paper clips Dinesh had?
  A)
    \[1\frac{1}{2}+32\times 10\] done clear
  B)
                                \[1\frac{1}{2}\times 32\times 10\] done clear
  C)
   \[1\frac{1}{2}\times 32+10\]            done clear
  D)
        \[1\frac{1}{2}(32+10)\]                    done clear
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• question_answer6)
  A bird is about 10 cm long and its wingspan is 15 cm. Which fraction represents the length of the bird compared to its wingspan?
  A)
   \[\frac{1}{5}\]                        done clear
  B)
   \[\frac{2}{15}\]          done clear
  C)
        \[\frac{2}{3}\]              done clear
  D)
        \[\frac{3}{2}\]                        done clear
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• question_answer7)
  Which number when multiplied by\[\frac{1}{2}\] gives a product between \[\frac{1}{2}\]and1?
  A)
   \[1\frac{1}{2}\]                      done clear
  B)
   \[\frac{1}{2}\]            done clear
  C)
        \[\frac{1}{4}\]            done clear
  D)
        0 done clear
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• question_answer8)
  Find the value of \[\left[ -\frac{1}{4}-\left( -\frac{1}{6} \right) \right]+\left[ \frac{1}{3}+\left( -\frac{1}{2} \right) \right]\].
  A)
   \[\frac{1}{2}\]                        done clear
  B)
   \[\frac{-1}{4}\]         done clear
  C)
        \[\frac{1}{3}\]                        done clear
  D)
        \[\frac{-1}{6}\]                      done clear
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• question_answer9)
  How many sixteenths are there in the resultant of \[\left[ -3\frac{1}{8}+1\frac{1}{6}+\left( -2\frac{1}{12} \right) \right]\times \left( -\frac{3}{2} \right)\]?
  A)
   -97                              done clear
  B)
   16                   done clear
  C)
        97                   done clear
  D)
        96 done clear
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• question_answer10)
  What is the difference between the biggest and the smallest fraction in the given fractions?

  \[\frac{2}{3},\frac{4}{5},\frac{5}{6},\frac{3}{4}\]

  A)
   \[\frac{1}{12}\]       done clear
  B)
                    \[\frac{1}{20}\]          done clear
  C)
        \[\frac{1}{30}\]          done clear
  D)
        \[\frac{1}{6}\]                        done clear
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• question_answer11)
  By how much does \[\frac{6}{7/8}\]to exceed\[\frac{6/7}{8}\] ?
  A)
   \[6\frac{3}{4}\]          done clear
  B)
        \[6\frac{1}{8}\]          done clear
  C)
        \[6\frac{3}{28}\]        done clear
  D)
        \[7\frac{3}{4}\]                      done clear
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• question_answer12)
  What is the sum of the shaded parts in the given figure?
  A)
   \[\frac{11}{9}\]                                  done clear
  B)
   \[\frac{11}{7}\]         done clear
  C)
   \[\frac{11}{18}\]                    done clear
  D)
   \[\frac{7}{18}\]                      done clear
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• question_answer13)
  By how much is \[\frac{1}{2}\] of \[\frac{2}{3}\]  more than \[\frac{3}{4}\] of\[\frac{1}{3}\]?
  A)
   \[\frac{1}{4}\]                        done clear
  B)
   \[\frac{1}{3}\]            done clear
  C)
        \[\frac{1}{12}\]          done clear
  D)
        \[\frac{7}{12}\]                      done clear
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• question_answer14)
  Find the missing number in the box. \[3.58=3+0.08\frac{[\,\,\,\,\,\,\,]}{10}\]
  A)
   5                                 done clear
  B)
   0.5                  done clear
  C)
        0.05                done clear
  D)
        0.005  done clear
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• question_answer15)
  Identify the simplest form\[\frac{0.92}{920}\times \frac{7.54}{0.0754}\].
  A)
   0.1               done clear
  B)
               0.07    done clear
  C)
        0.001    done clear
  D)
                      0.0001                        done clear
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• question_answer16)
  Find the value of\[3\times 0.3\times 0.03\times 0.003\times 3000\].
  A)
   0.00243 done clear
  B)
                     0.000243        done clear
  C)
   243                   done clear
  D)
       0.243 done clear
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• question_answer17)
  Which list of numbers is ordered from the least to the greatest?
  A)
   \[\frac{1}{2},2\frac{1}{2},0.2,0.02\]            done clear
  B)
   \[0.02,0.2,2\frac{1}{2},\frac{1}{2}\] done clear
  C)
   \[0.02,0.2,\frac{1}{2},2\frac{1}{2}\] done clear
  D)
           \[0.2,\frac{1}{2},0.02,2\frac{1}{2}\] done clear
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• question_answer18)
  Given that\[36\times 15=540\], which of the following has a product of 5.40?

  (i)   3.6 (ii)  3.6 (iii) 0.36 (iv) 0.36

  1.5 0.15 150 15

  A)
   I and III only                            done clear
  B)
   II and III only done clear
  C)
   III and IV only   done clear
  D)
               I and IV only done clear
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• question_answer19)
  Find the fourth fraction from left when \[\frac{2}{8},\frac{2}{6},\frac{2}{7},\frac{2}{3}\] and \[\frac{2}{4}\] are arranged in descending order.
  A)
   \[\frac{2}{3}\]                        done clear
  B)
   \[\frac{2}{4}\]            done clear
  C)
        \[\frac{2}{7}\]            done clear
  D)
        \[\frac{2}{6}\] done clear
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• question_answer20)
  Which of the following shaded parts represents an improper fraction?
  A)
                       done clear
  B)
               done clear
  C)
    done clear
  D)
         done clear
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• question_answer21)
  The given figure shows a rectangle divided into equal smaller parts. What is the fraction of the shaded part?
  A)
   \[\frac{1}{2}\]            done clear
  B)
        \[\frac{3}{4}\]           done clear
  C)
        \[\frac{1}{3}\]            done clear
  D)
        \[\frac{2}{5}\] done clear
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• question_answer22)
  Find \[\frac{11}{25}\]of a litre.
  A)
   460 ml                        done clear
  B)
   440 ml            done clear
  C)
        480 ml            done clear
  D)
        400 ml done clear
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• question_answer23)
  Sunita purchases an ornament of gold and copper which weighs 78 g. If \[\frac{4}{13}\] of it is copper, find the weight of pure gold in it.
  A)
   56 g                            done clear
  B)
   24 g                done clear
  C)
        54 g                done clear
  D)
        26 g done clear
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• question_answer24)
  A truck covers a distance of 92.5 km in \[2\frac{1}{2}\]hours. If the truck is traveling at the same speed throughout the journey, what is the distance covered by it in 1 hour?
  A)
   37 km  done clear
  B)
                    64 km             done clear
  C)
        36 km             done clear
  D)
        26 km             done clear
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• question_answer25)
  Narendra reads \[\frac{1}{4}\] of a short novel in 1 hour. What part of the book will he have read in \[2\frac{1}{2}\] hours?
  A)
   \[\frac{4}{5}\]                        done clear
  B)
    \[\frac{5}{6}\]           done clear
  C)
         \[\frac{3}{4}\]           done clear
  D)
        \[\frac{5}{8}\]                        done clear
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• question_answer26)
  At Vivek's birthday party, \[\frac{5}{7}\] part of the total cake was distributed. Find how much cake is left.
  A)
   \[\frac{1}{3}\]                        done clear
  B)
   \[\frac{2}{7}\]            done clear
  C)
        \[\frac{5}{7}\]            done clear
  D)
        \[\frac{3}{7}\]            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)
   6 kg                             done clear
  B)
   \[\frac{1}{3}\]kg        done clear
  C)
   3kg                  done clear
  D)
        12 kg   done clear
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• question_answer28)
  Find the missing number.

  \[\frac{\text{3}}{\text{4}}\text{+2}\frac{\text{1}}{\text{4}}\text{of}\frac{\text{2}}{\text{3}}\text{-}\frac{\frac{\text{1}}{\text{2}}\text{-}\frac{\text{1}}{\text{3}}}{\frac{\text{1}}{\text{2}}\text{+}\frac{\text{1}}{\text{3}}}\text{ }\!\!\times\!\!\text{ 3}\frac{\text{1}}{\text{3}}\text{+}\frac{\text{5}}{\text{6}}\text{=?}\]

  A)
   \[2\frac{1}{12}\]                    done clear
  B)
   \[\frac{49}{54}\]        done clear
  C)
   \[\frac{2}{3}\]                        done clear
  D)
        \[\frac{1}{6}\] done clear
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• question_answer29)
  A man buys a box containing 286 fruits, \[\frac{1}{2}\] of the fruits are apples and the rest are mangoes. \[\frac{4}{13}\]of the mangoes are rotten. He sells the good mangoes at\[\text{Rs}\text{. 4}\frac{\text{1}}{\text{11}}\], each. How much money does he make on selling the good mangoes?
  A)
   \[\text{Rs}\text{.}\] 415                      done clear
  B)
   \[\text{Rs}\text{.}\] 385       done clear
  C)
                    \[\text{Rs}\text{.}\] 350          done clear
  D)
        \[\text{Rs}\text{.}\] 405                      done clear
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• question_answer30)
  If \[\frac{1}{8}\] rod is painted black, \[\frac{1}{2}\] of the remaining is painted white and the remaining \[3\frac{1}{2}\] is painted blue, find the total length of the steel rod.
  A)
   24 cm                         done clear
  B)
   6 cm               done clear
  C)
        8 cm               done clear
  D)
        16 cm done clear
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• question_answer31)
  Find the quotient when \[\left( \frac{1}{2}-\frac{1}{4}+\frac{1}{5}-\frac{1}{6} \right)\] is divided by \[\left( \frac{1}{5}-\frac{5}{9}+\frac{3}{5}-\frac{7}{18} \right)\].
  A)
   \[1\frac{2}{5}\]                                  done clear
  B)
   \[6\frac{5}{9}\]                      done clear
  C)
   \[5\frac{2}{3}\]                      done clear
  D)
        \[5\frac{1}{10}\]                    done clear
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• question_answer32)
  What fraction of \[\frac{4}{7}\] must be added to itself to make the sum \[1\frac{1}{14}\]
  A)
   \[\frac{1}{2}\]                        done clear
  B)
   \[\frac{4}{7}\]            done clear
  C)
        \[\frac{7}{8}\]            done clear
  D)
        \[\frac{15}{14}\]                    done clear
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• question_answer33)
  Identify the difference of\[1\frac{3}{16}\], and it?s reciprocal.
  A)
   \[\frac{105}{304}\]                            done clear
  B)
   \[\frac{4}{3}\]                        done clear
  C)
   \[\frac{15}{16}\]                    done clear
  D)
        \[\frac{19}{36}\]        done clear
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• question_answer34)
  \[\frac{1}{10}\] of a pole is coloured red,\[\frac{1}{20}\] white,\[\frac{1}{30}\] blue, \[\frac{1}{40}\] black \[\frac{1}{50}\] violet,\[\frac{1}{60}\] yellow and the rest is green. If the length of the green portion of the pole is 12.08 metres, find the length of the pole.
  A)
   16m                            done clear
  B)
   18m                done clear
  C)
   20 m               done clear
  D)
        30 m done clear
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• question_answer35)
  Find the missing number. \[\frac{3}{4}\left( 1+\frac{1}{3} \right)\left( 1+\frac{2}{3} \right)\left( 1-\frac{2}{5} \right)\left( 1+\frac{6}{7} \right)\left( 1-\frac{12}{13} \right)=?\]
  A)
   \[\frac{1}{5}\]                        done clear
  B)
   \[\frac{1}{6}\]            done clear
  C)
   \[\frac{1}{7}\]            done clear
  D)
        \[\frac{1}{13}\] done clear
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• question_answer36)
  Given\[\text{M = }\frac{\text{3}}{\text{5}}\text{ of }\frac{\text{4}}{\text{7}}\text{ of }\frac{\text{5}}{\text{9}}\text{ of }\frac{\text{21}}{\text{24}}\text{ of 5040}\], find the value of 5 M.
  A)
   420                             done clear
  B)
   840                 done clear
  C)
        84                   done clear
  D)
        4200 done clear
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• question_answer37)
  Which of the following has fractions in ascending order?
  A)
    \[\frac{2}{3},\frac{3}{5},\frac{7}{9},\frac{9}{11},\frac{8}{9}\]        done clear
  B)
   \[\frac{3}{5},\frac{2}{3},\frac{9}{11},\frac{7}{9},\frac{8}{9}\] done clear
  C)
   \[\frac{3}{5},\frac{2}{3},\frac{7}{9},\frac{9}{11},\frac{8}{9}\]    done clear
  D)
            \[\frac{8}{9},\frac{9}{11},\frac{7}{9},\frac{2}{3},\frac{3}{5}\] done clear
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• question_answer38)
  If one-third of a tank holds 80 litres of water, find the quantity water that half of the tank holds.
  A)
    \[\frac{80}{3}\] Litres                    done clear
  B)
   100 litres         done clear
  C)
                    120 litres          done clear
  D)
                    240 litres done clear
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• question_answer39)
  Which number replaces the question mark in the following equation?

  \[(?)\,+\,543\,+5.43=603.26\]

  A)
   5                                 done clear
  B)
   6                     done clear
  C)
   4        done clear
  D)
        8 done clear
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• question_answer40)
  One third of a herd of deer have gone to the forest. One fourth of total number are grazing in a field and remaining 10 are drinking water on the river bank. Find the total number of deer.
  A)
   24                               done clear
  B)
   18                   done clear
  C)
        30                   done clear
  D)
        16 done clear
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