8th Class Mental Ability Numbers Question Bank

done Real Numbers Total Questions - 40

• question_answer1)
  Find the decimal equivalent of \[\frac{9}{11}\].
  A)
  \[0.\overline{61}\]                               done clear
  B)
  \[~0.\overline{71}\]                done clear
  C)
       \[0.\overline{81}\]                   done clear
  D)
       \[~0.\overline{91}\]                done clear
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• question_answer2)
  Find the value of \[\left( 999\frac{1}{7}+999+\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}+999\frac{5}{7}+999\frac{6}{7} \right)\]
  A)
   2997                           done clear
  B)
        5979       done clear
  C)
   5994       done clear
  D)
        5997    done clear
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• question_answer3)
  Identify the example for identity property in addition of integers.
  A)
   -7 + (5 + 3) = (-7 + 5) + 3 done clear
  B)
  -8 + (-3) = (-3) + (-8) done clear
  C)
   (-15) + 0 = 0+ (-15) = -15 done clear
  D)
   (+16) + (-16) = (-16) + (+16) = 0 done clear
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• question_answer4)
  Find the product obtained when the reciprocal of\[-\frac{20}{15}\]is multiplied by \[\frac{1}{6}.\]
  A)
   8                     done clear
  B)
       \[\frac{1}{8}\]             done clear
  C)
   -8                    done clear
  D)
        \[-\frac{1}{8}\]                      done clear
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• question_answer5)
  Alice had 240 marbles. She gave\[\frac{1}{3}\] of the marbles to her brother and\[\frac{1}{4}\]of the remainder to her sister What fraction of the marbles had she left?            
  A)
  \[\frac{1}{4}\]             done clear
  B)
       \[\frac{1}{3}\]                         done clear
  C)
   \[\frac{1}{2}\]                        done clear
  D)
        \[\frac{1}{5}\] done clear
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• question_answer6)
  Ashok and Sumit participated in a 100 metre race. Ashok took \[18\frac{1}{5}\]seconds and Sumit took \[21\frac{3}{4}\] seconds to finish the race. How much longer did Sumit take than Ashok?
  A)
  \[3\frac{20}{10}\] seconds    done clear
  B)
       \[3\frac{12}{20}\]seconds done clear
  C)
       \[3\frac{11}{20}\]seconds      done clear
  D)
       \[\frac{11}{20}\] seconds done clear
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• question_answer7)
  The ratio of two numbers is 3:8 and their difference is 115. What is the larger number?
  A)
   69                   done clear
  B)
        115                 done clear
  C)
        184                 done clear
  D)
        230 done clear
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• question_answer8)
  Find the value of\[\frac{7}{\sqrt{10}+\sqrt{3}}.\]
  A)
  \[{{(\sqrt{10}+\sqrt{3})}^{2}}\]     done clear
  B)
       \[7(\sqrt{10}-\sqrt{3})\]          done clear
  C)
   \[\sqrt{10}-\sqrt{3}\]  done clear
  D)
       \[7(\sqrt{10}+\sqrt{3})\]  done clear
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• question_answer9)
  Which of the following is a rational number?
  A)
   \[\sqrt{243}\]  done clear
  B)
        \[\sqrt{72}\]    done clear
  C)
        \[\sqrt{121}\]  done clear
  D)
        \[\sqrt{98}\] done clear
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• question_answer10)
  Which of the following conclusions, is true about the statement in the box?
  A)
   The statement is always true. done clear
  B)
   The statement is true when "x" is negative. done clear
  C)
   The statement is true when \[x=0.\] done clear
  D)
   The statement is never true. done clear
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• question_answer11)
  Find the value of \[\sqrt{{{a}^{4}}}\times \sqrt{{{b}^{6}}}\times \sqrt{{{c}^{16}}}.\]
  A)
  \[{{a}^{2}}{{b}^{3}}{{c}^{4}}\]         done clear
  B)
       \[{{a}^{2}}{{b}^{3}}{{c}^{8}}\]         done clear
  C)
        \[{{a}^{8}}{{b}^{12}}{{c}^{32}}\]    done clear
  D)
       \[{{a}^{2}}{{b}^{3}}{{c}^{6}}\]                     done clear
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• question_answer12)
  Shanker's family consumed\[3\frac{1}{2}\text{kg}\]sugar in the first 15 days of a month. For the next 15 days they consumed\[3\frac{3}{4}\text{kg}\]sugar. How much sugar did they consume for the whole month?
  A)
  \[5\frac{1}{2}kg\]       done clear
  B)
        \[7\frac{1}{4}kg\]      done clear
  C)
   \[6\frac{1}{3}kg\]      done clear
  D)
       \[4\frac{3}{4}kg\] done clear
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• question_answer13)
  If 'a' and 'b' are two non-negative real numbers, which of the following is true?
  A)
   \[\sqrt{a}+\sqrt{b}=\sqrt{a+b}\] done clear
  B)
       \[\sqrt{a}-\sqrt{b}=\sqrt{a-b}\]          done clear
  C)
  \[\sqrt{a}-\sqrt{b}\ne \sqrt{a-b}\]       done clear
  D)
  \[\sqrt{a}+\sqrt{b}=\sqrt{ab}\]         done clear
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• question_answer14)
  The sum of three consecutive whole numbers is 102. Find their product.
  A)
   24128             done clear
  B)
        10540             done clear
  C)
        32420             done clear
  D)
        39270             done clear
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• question_answer15)
  By taking \[\pi =3.141\]and \[\sqrt{2}=1.414,\]evaluate\[\frac{2\pi +3\sqrt{2}}{5}\] upto three places of decimals.
  A)
   2.104                          done clear
  B)
   2.105              done clear
  C)
   3.428              done clear
  D)
        4.646 done clear
  View Solution play_arrow

• question_answer16)
  Find the prime factorization of 1089.
  A)
  \[3\times 7\times 3\times 2\]     done clear
  B)
        \[3\times 3\times 7\times 7\]    done clear
  C)
   \[3\times 11\times 3\times 3\]  done clear
  D)
        \[3\times 3\times 11\times 11\]            done clear
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• question_answer17)
  Find the quotient when the product of 12 and 21 is divided by 9.
  A)
   24                   done clear
  B)
        26                   done clear
  C)
        28                   done clear
  D)
        21    done clear
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• question_answer18)
  What is the area of a triangle whose base is \[11\frac{1}{4}cm\]and height\[5\frac{2}{5}cm\]?
  A)
  \[3\frac{3}{8}c{{m}^{2}}\]            done clear
  B)
       \[10\frac{3}{8}c{{m}^{2}}\]          done clear
  C)
   \[30\frac{3}{8}c{{m}^{2}}\]         done clear
  D)
        \[40\frac{3}{8}c{{m}^{2}}\]                     done clear
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• question_answer19)
  Find the value of \[\left( \frac{-2}{3} \right)\div \left[ \frac{1}{2}-\left( -\frac{1}{3} \right) \right].\]
  A)
   \[\frac{-1}{5}\]                      done clear
  B)
        \[\frac{3}{5}\]            done clear
  C)
   \[\frac{-4}{5}\]                      done clear
  D)
        \[\frac{2}{5}\] done clear
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• question_answer20)
  Find the product of a rational number and its reciprocal.
  A)
   0                     done clear
  B)
        2                     done clear
  C)
        1                     done clear
  D)
        -1 done clear
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• question_answer21)
  Find the value of \[\left( -2\frac{2}{5} \right)\times \frac{3}{4}.\]
  A)
   \[\frac{5}{9}\]                        done clear
  B)
        \[\frac{-9}{5}\]          done clear
  C)
   \[\frac{5}{2}\]                        done clear
  D)
       \[\frac{-2}{5}\]                       done clear
  View Solution play_arrow

• question_answer22)
  What must be subtracted from\[\frac{11}{18}\]to get \[\frac{7}{36}?\]
  A)
   \[\frac{11}{17}\]                    done clear
  B)
        \[\frac{5}{12}\]          done clear
  C)
   \[\frac{6}{5}\]                        done clear
  D)
        \[2\frac{5}{6}\] done clear
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• question_answer23)
  Find the value of \[2\frac{2}{5}+1\frac{1}{3}+\frac{5}{6}.\]
  A)
   \[4\frac{5}{30}\]        done clear
  B)
        \[3\frac{2}{30}\]        done clear
  C)
        \[4\frac{17}{30}\]      done clear
  D)
        \[6\frac{11}{30}\] done clear
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• question_answer24)
  Which property of multiplication is involved in the following?    \[\left( \frac{3}{5}\times \frac{1}{7} \right)\times \frac{8}{11}=\frac{3}{5}=\left( \frac{1}{7}\times \frac{8}{11} \right)\]
  A)
   Distributive property          done clear
  B)
   Associative property done clear
  C)
   Commutative property        done clear
  D)
   Additive identity property done clear
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• question_answer25)
  The sum of two rational numbers is \[1\frac{5}{36}.\] If one of them is\[\frac{7}{12},\] find the other.
  A)
   \[\frac{3}{2}\]                        done clear
  B)
        \[\frac{4}{5}\]                        done clear
  C)
   \[\frac{6}{7}\]                        done clear
  D)
        \[\frac{5}{9}\]                        done clear
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• question_answer26)
  Find the value of\[2\frac{1}{5}+3\frac{3}{10}-1\frac{1}{4}-\frac{1}{2}.\]
  A)
  \[1\frac{1}{4}\]           done clear
  B)
                    \[1\frac{3}{2}\]          done clear
  C)
   \[3\frac{3}{4}\]                      done clear
  D)
       \[5\frac{3}{2}\]  done clear
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• question_answer27)
  Find three rational numbers between \[\frac{1}{4}\] and \[\frac{1}{8}.\]
  A)
   \[\frac{1}{16},\frac{2}{34},\frac{3}{64}\]  done clear
  B)
       \[\frac{13}{8},\frac{5}{16},\frac{7}{32}\]   done clear
  C)
   \[\frac{1}{8},\frac{3}{16},\frac{5}{24}\]    done clear
  D)
       \[\frac{3}{16},\frac{5}{32},\frac{9}{64}\] done clear
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• question_answer28)
  Which of the following number lines has \[\frac{5}{2}\] represented on it?
  A)
    done clear
  B)
  done clear
  C)
  done clear
  D)
  done clear
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• question_answer29)
  Which of the following is true? (i) \[-\left( \frac{-2}{3} \right)=\frac{2}{3}\] (ii) The multiplicative inverse of \[\frac{-5}{9}\times \frac{-2}{3}\] is\[\frac{-10}{27}\] (iii) \[\frac{-7}{5}+0=\frac{-7}{5}\] (iv) 1 is called the multiplicative identity
  A)
   Only (i), (ii) and (iii)            done clear
  B)
   Only (i), (ii) and (iv) done clear
  C)
   Only (ii), (iii) and (iv)           done clear
  D)
   Only (i), (iii) and (iv) done clear
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• question_answer30)
  By what rational number should\[3\frac{4}{5}\]be multiplied, to get \[20\frac{4}{15}?\]
  A)
   \[1\frac{1}{2}\]                      done clear
  B)
        \[5\frac{1}{3}\]                      done clear
  C)
   \[2\frac{1}{4}\]                      done clear
  D)
       \[3\frac{1}{5}\] done clear
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• question_answer31)
  The perimeter of a triangle is \[2\frac{1}{4}cm.\] Two of its sides measure\[\frac{2}{3}cm\] and \[\frac{5}{6}cm.\]Find the length of the third side.
  A)
   \[\frac{3}{8}\]                        done clear
  B)
        \[\frac{3}{4}\]            done clear
  C)
   \[\frac{5}{8}\]                        done clear
  D)
        \[\frac{7}{4}\] done clear
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• question_answer32)
  How many pieces, each of length \[4\frac{2}{3}\]metres can be cut from a roll of ribbon of length 70 metres?
  A)
   12                   done clear
  B)
        13                   done clear
  C)
        14                   done clear
  D)
        15 done clear
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• question_answer33)
  The cost of 1 litre of milk is Rs. \[15\frac{3}{4}\] What is the cost of\[2\frac{2}{3}\]litres of milk?
  A)
   Rs. 38                        done clear
  B)
   Rs. 40            done clear
  C)
        Rs. 41            done clear
  D)
        Rs. 42 done clear
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• question_answer34)
  Which of the following is the descending order of the given rational numbers?
  A)
   \[\frac{3}{4},\frac{6}{7},\frac{1}{8},\frac{2}{5}\]                        done clear
  B)
  \[\frac{2}{5},\frac{1}{8},\frac{3}{4},\frac{6}{7}\] done clear
  C)
        \[\frac{6}{7},\frac{3}{4},\frac{2}{5},\frac{1}{8}\]            done clear
  D)
       \[\frac{6}{7},\frac{3}{4},\frac{1}{8},\frac{2}{5}\] done clear
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• question_answer35)
  Which of the following divides the sum of three consecutive odd numbers?
  A)
   2                     done clear
  B)
        3                     done clear
  C)
   5                     done clear
  D)
        6 done clear
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• question_answer36)
  If \[x\oplus y=\frac{x+y}{2},\]which of the following statements is true?
  A)
  \[7\oplus 5=6\]                        done clear
  B)
  \[8\oplus 5=7\]            done clear
  C)
       \[9\oplus 8=9\]            done clear
  D)
       \[10\oplus 6=5\]          done clear
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• question_answer37)
  For what value of * is the statement\[\left( \frac{*}{15} \right)\left( \frac{*}{135} \right)=1\]true?
  A)
   15                               done clear
  B)
   25                   done clear
  C)
        35                   done clear
  D)
        45       done clear
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• question_answer38)
  What Is the value of \[\frac{(P+Q)}{(P-Q)}\]if \[\frac{P}{Q}=7?\]
  A)
  \[\frac{1}{3}\]                         done clear
  B)
   \[\frac{2}{3}\]                        done clear
  C)
   \[\frac{4}{3}\]                        done clear
  D)
        \[\frac{7}{8}\]                        done clear
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• question_answer39)
  \[30-\left( \frac{2}{7}\div \frac{2}{21} \right)=x,\]find the value of 'x'.
  A)
   312                             done clear
  B)
   \[29\frac{143}{147}\]            done clear
  C)
   28                   done clear
  D)
        27                   done clear
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• question_answer40)
  What is the additive inverse of the multiplicative inverse of
  A)
   \[\frac{7}{9}\]                        done clear
  B)
        \[\frac{-7}{9}\]          done clear
  C)
   \[\frac{9}{7}\]                        done clear
  D)
       \[\frac{-9}{7}\]           done clear
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