7th Class Mathematics Integers Question Bank

done Number System Total Questions - 40

• question_answer1)
  Which of the following is the decimal representation of 1/7
  A)
   \[0.\overline{241857}\]               done clear
  B)
   \[~0.14\overline{2857}\]         done clear
  C)
   \[0.\overline{142857}\]        done clear
  D)
   \[0.\overline{148257}\] done clear
  View Solution play_arrow

• question_answer2)
  Which of the following equal to \[\mathbf{1}.\overline{\mathbf{27}}\]
  A)
   \[\frac{19}{11}\]                       done clear
  B)
   \[\frac{12}{11}\]           done clear
  C)
   \[\frac{15}{11}\]                                   done clear
  D)
   \[\frac{14}{11}\] done clear
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• question_answer3)
  Which of the following statement is not true?
  A)
   Every integer is a rational number done clear
  B)
   Every integer is a real number done clear
  C)
   There can be infinite rational numbers between two rational numbers done clear
  D)
   Every rational number is a whole number done clear
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• question_answer4)
  Which of the following is not a rational number
  A)
   0                                 done clear
  B)
   \[-\frac{1}{4}\]            done clear
  C)
   23                                done clear
  D)
   \[\pi \] done clear
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• question_answer5)
  Every integer is a ____ number
  A)
   whole                           done clear
  B)
   natural            done clear
  C)
   rational          done clear
  D)
   positive done clear
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• question_answer6)
  Every ____ number is smaller than 0.
  A)
   positive                         done clear
  B)
   rational           done clear
  C)
   natural            done clear
  D)
   negative done clear
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• question_answer7)
  If a, a + 2 and a + 4 are prime numbers, then the number of possible solutions for a is
  A)
   one done clear
  B)
   two             done clear
  C)
   three                            done clear
  D)
   none of these done clear
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• question_answer8)
  Find the multiplicative inverse of \[{{\left( \frac{3}{8} \right)}^{-1}}\]
  A)
   \[\frac{3}{8}\] done clear
  B)
   \[\frac{5}{8}\]              done clear
  C)
   1                                 done clear
  D)
   0 done clear
  View Solution play_arrow

• question_answer9)
  \[\mathbf{0}.\overline{\mathbf{8}}+\mathbf{0}.\overline{\mathbf{4}}+\mathbf{0}.\overline{\mathbf{5}}+\mathbf{0}.\overline{\mathbf{7}}\]is equal to
  A)
   \[2.\overline{4}\]                       done clear
  B)
   \[2\frac{5}{9}\]             done clear
  C)
   \[2\frac{2}{3}\] done clear
  D)
   \[2\frac{3}{9}\] done clear
  View Solution play_arrow

• question_answer10)
  The multiplication \[(3+\sqrt{2})(3-\sqrt{2})\] results in a
  A)
   rational number  done clear
  B)
   irrational number done clear
  C)
   neither rational nor irrational        done clear
  D)
   imaginary number done clear
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• question_answer11)
  The rational number for \[\mathbf{0}.\mathbf{3}\overline{\mathbf{51}}\] is
  A)
   \[\frac{351}{990}\]                   done clear
  B)
   \[\frac{58}{165}\] done clear
  C)
   \[\frac{352}{990}\]                   done clear
  D)
   \[\frac{349}{3990}\] done clear
  View Solution play_arrow

• question_answer12)
          The value of \[\mathbf{0}.\overline{\mathbf{3}}+\mathbf{0}.\overline{\mathbf{4}}+\mathbf{0}.\overline{\mathbf{5}}+\mathbf{0}.\overline{\mathbf{9}}\]
  A)
   1.8                               done clear
  B)
   \[\frac{15}{9}\]             done clear
  C)
   \[\frac{7}{3}\] done clear
  D)
   2 done clear
  View Solution play_arrow

• question_answer13)
  What should be subtracted from \[\left( \frac{3}{4}-\frac{6}{16}+\frac{5}{24} \right)\,\]to get \[\frac{7}{32}\]?
  A)
   \[\frac{7}{12}\]                         done clear
  B)
   \[\frac{35}{96}\] done clear
  C)
   \[\frac{-5}{96}\]                                    done clear
  D)
   \[\frac{77}{96}\] done clear
  View Solution play_arrow

• question_answer14)
  Find the sum \[\left( \frac{4}{5}+\frac{25}{15}-10 \right)+\frac{21}{45}\]
  A)
   \[-\frac{1}{9}\]                         done clear
  B)
   \[1\frac{1}{9}\]              done clear
  C)
   \[-7\frac{1}{15}\]  done clear
  D)
   \[4\frac{22}{27}\] done clear
  View Solution play_arrow

• question_answer15)
  The rational number lying between 85 and 90 is
  A)
   \[\frac{355}{4}\] done clear
  B)
   \[\frac{355}{2}\]          done clear
  C)
   \[\frac{355}{3}\]                       done clear
  D)
   \[\frac{355}{5}\] done clear
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• question_answer16)
  Which one of the following rational number lies between\[\frac{20}{30}\]and\[\frac{40}{50}\]?  
  A)
   \[\frac{11}{15}\]     done clear
  B)
   \[\frac{3}{5}\]             done clear
  C)
   \[\frac{41}{30}\]                                   done clear
  D)
   \[\frac{14}{15}\] done clear
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• question_answer17)
  The real numbers are either rational or irrational. The irrational numbers are the numbers which are non-terminating and non-repeating. Identify the numbers given below as non-terminating and non-repeating.
  A)
   \[\frac{1}{\sqrt{3}}\]     done clear
  B)
   \[\frac{4}{5}\] done clear
  C)
   \[\frac{5}{2}\]                          done clear
  D)
   \[\frac{\sqrt{36}}{3}\] done clear
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• question_answer18)
  The value of the given expression \[\left( \frac{156}{24}+\left\{ \frac{-24}{56}+\frac{26}{112} \right\}\times \frac{112}{44} \right)\] is given by
  A)
   \[\frac{1}{6}\]                          done clear
  B)
   \[\frac{2}{5}\]             done clear
  C)
   \[\frac{36}{6}\] done clear
  D)
   216 done clear
  View Solution play_arrow

• question_answer19)
  What will be the additive inverse of A if A=\[\frac{3}{5}-\frac{4}{27}+\frac{5}{18}\]
  A)
   \[\frac{127}{270}\]                               done clear
  B)
   \[\frac{270}{127}\]            done clear
  C)
   \[\frac{-197}{270}\] done clear
  D)
   \[\frac{270}{197}\] done clear
  View Solution play_arrow

• question_answer20)
  The multiplicative identity of the rational number \[\frac{455}{1024}\], is
  A)
   \[\frac{1024}{455}\]                              done clear
  B)
   \[\frac{1}{455}\]            done clear
  C)
   \[\frac{1}{1024}\]                                 done clear
  D)
   1 done clear
  View Solution play_arrow

• question_answer21)
  The largest rational number among the following rational numbers is:
  A)
   \[\frac{44}{34}\] done clear
  B)
   \[\frac{55}{85}\]             done clear
  C)
   \[\frac{76}{68}\]                                   done clear
  D)
   \[\frac{98}{102}\] done clear
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• question_answer22)
  Which one of the following is a natural number?
  A)
   \[\frac{14}{56}\]                       done clear
  B)
   \[\frac{19}{57}\]             done clear
  C)
   \[\frac{91}{13}\]  done clear
  D)
   \[\frac{45}{135}\] done clear
  View Solution play_arrow

• question_answer23)
  The multiplicative inverse of \[\frac{97}{89}\] is
  A)
   \[\frac{97}{89}\]                       done clear
  B)
   \[\frac{89}{97}\] done clear
  C)
   \[\frac{1}{97}\]                                     done clear
  D)
   \[\frac{1}{89}\] done clear
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• question_answer24)
  The additive identity of the given number \[\frac{576}{890}\]is
  A)
   1                                 done clear
  B)
   \[\frac{576}{890}\]            done clear
  C)
   \[\frac{890}{576}\]                               done clear
  D)
   0 done clear
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• question_answer25)
  The area of a rectangular room is \[45\frac{1}{4}\]m2. If breadth is \[9\frac{3}{7}\]m, then its length is
  A)
   \[\frac{255}{264}m\]                             done clear
  B)
   \[\frac{1215}{28}m\]            done clear
  C)
   \[\frac{255}{28}m\]                  done clear
  D)
   \[\frac{1267}{264}m\] done clear
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• question_answer26)
  In a school,\[\frac{5}{8}\]of the total students are boys. If there are 360 girls, then the number of students in the school is
  A)
   960       done clear
  B)
   500             done clear
  C)
   360                              done clear
  D)
   920 done clear
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• question_answer27)
  Arwin earns Rs. 1200 per month, he spends \[\frac{1}{4}\] of his income on food, \[\frac{3}{10}\] of the remaining money on house rent and \[\frac{5}{21}\] of the remaining money on the education of his children. How much money does he save in a month?
  A)
   Rs. 450                         done clear
  B)
   Rs. 420          done clear
  C)
   Rs. 400             done clear
  D)
   Rs. 480 done clear
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• question_answer28)
  Write four rational numbers between \[\frac{1}{3}\]and \[\frac{1}{2}\]
  A)
   \[\frac{5}{2},\frac{29}{24},\frac{11}{24},\frac{21}{28}\]           done clear
  B)
   \[\frac{7}{12},\frac{13}{12},\frac{21}{24},\frac{9}{24}\] done clear
  C)
   \[\frac{5}{12},\frac{9}{24},\frac{11}{24},\frac{21}{48}\] done clear
  D)
  \[\frac{7}{24},\frac{11}{24},\frac{21}{48},\frac{13}{24}\] done clear
  View Solution play_arrow

• question_answer29)
  Compare \[\frac{2}{5}\] and \[\frac{1}{2}\]
  A)
   \[\frac{2}{5}<\frac{3}{4}\] done clear
  B)
   \[\frac{2}{5}>\frac{3}{4}\] done clear
  C)
   \[\frac{2}{5}=\frac{3}{4}\]                   done clear
  D)
   \[\frac{2}{5}\le \frac{3}{4}\] done clear
  View Solution play_arrow

• question_answer30)
  A number of the form p/q is said to be a rational number if
  A)
   p and q are integers done clear
  B)
   p and q are integers and \[q\ne 0\] done clear
  C)
   p and q are integers and \[p\ne 0\] done clear
  D)
   p and q are integers and \[p\ne 0\] also \[p\ne 0\] done clear
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• question_answer31)
  The value of\[\frac{1}{\sqrt{6.25}+\sqrt{5.25}}+\frac{1}{\sqrt{4.25}+\sqrt{3.25}}\]\[+\frac{1}{\sqrt{5.25}+\sqrt{4.25}}+\frac{1}{\sqrt{3.25}+\sqrt{2.25}}\]is
  A)
   1.00                             done clear
  B)
   1.25              done clear
  C)
   1.50                             done clear
  D)
   2.25 done clear
  View Solution play_arrow

• question_answer32)
  The value of \[\sqrt{4\sqrt[3]{16\sqrt{4\sqrt[3]{16\sqrt{4\sqrt[3]{16}}}}}}\] up to \[\infty \] is
  A)
   2                                 done clear
  B)
   22  done clear
  C)
   23                                done clear
  D)
   25 done clear
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• question_answer33)
  If m = \[\sqrt{3+\sqrt{3+\sqrt{3+......}}}\] up to \[\infty \] n=\[\sqrt{3-\sqrt{3-\sqrt{3-......}}}\] up to \[\infty \] Then among the following the relation between m and n holds is
  A)
   \[m-n+1=0\]    done clear
  B)
   \[m+n-1=0\] done clear
  C)
   \[m+n+1=0\]               done clear
  D)
   \[m-n-1=0\] done clear
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• question_answer34)
  If x=\[\frac{\sqrt{3}}{2}\], then the value of \[\sqrt{1+x}+\sqrt{1-x}\] is
  A)
   \[\sqrt{3}\]  done clear
  B)
   \[\frac{\sqrt{3}}{2}\]             done clear
  C)
   \[2+\sqrt{3}\]               done clear
  D)
   \[2-\sqrt{3}\] done clear
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• question_answer35)
  If A=\[{{\mathbf{2}}^{x}}\], B= \[{{\mathbf{4}}^{y}}\]c=\[{{\mathbf{8}}^{z}}\] where x=\[\mathbf{0}.\overline{\mathbf{1}}\], \[\mathbf{y}=\mathbf{0}.\overline{\mathbf{4}},\mathbf{z}=\mathbf{0}.\overline{\mathbf{6}},\]then \[\mathbf{A}\times \mathbf{B}\times \mathbf{C}\] is
  A)
   8 done clear
  B)
   2              done clear
  C)
   16                                done clear
  D)
   4 done clear
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• question_answer36)
  If \[\mathbf{x}=\mathbf{2}.\overline{\mathbf{3}}-\mathbf{0}.\overline{\mathbf{9}},\] \[\mathbf{y}=\mathbf{2}\mathbf{.}\overline{\mathbf{5}}-\mathbf{0}.\overline{\mathbf{5}},\] then \[{{x}^{2}}+{{y}^{2}}-2xy\] is
  A)
   \[\frac{1}{4}\] done clear
  B)
   \[\frac{1}{3}\] done clear
  C)
   \[\frac{1}{2}\]                          done clear
  D)
   \[\frac{1}{5}\] done clear
  View Solution play_arrow

• question_answer37)
  \[\frac{{{4}^{-3}}\times {{a}^{-5}}\times {{b}^{-4}}}{{{4}^{-5}}\times {{a}^{-8}}\times {{b}^{3}}}\]=
  A)
   \[16\frac{{{a}^{3}}}{{{b}^{7}}}\]   done clear
  B)
   \[8\frac{{{a}^{2}}}{{{b}^{-7}}}\]           done clear
  C)
   \[2\frac{{{a}^{-13}}}{{{b}^{-7}}}\]                          done clear
  D)
   \[\frac{{{a}^{8}}}{{{b}^{-1}}}\] done clear
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• question_answer38)
  If \[7\sqrt[4]{162}-5\sqrt[4]{32}+\sqrt[4]{1250}\] is simplified, then the resultant value is
  A)
   \[6\sqrt[3]{2}\]                          done clear
  B)
   \[6\sqrt[4]{2}\]            done clear
  C)
   \[6\sqrt[5]{2}\]              done clear
  D)
   \[16\sqrt[4]{2}\] done clear
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• question_answer39)
  If \[{{2}^{x-1}}+{{2}^{x+1}}=\mathbf{640,}\] the value of x is
  A)
   7                     done clear
  B)
   8   done clear
  C)
   9                                 done clear
  D)
   6 done clear
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• question_answer40)
  The largest among the numbers\[{{2}^{250}},{{3}^{150}},{{5}^{100}}\] and 4200 is
  A)
   4200  done clear
  B)
   5100    done clear
  C)
   2250                              done clear
  D)
   2150 done clear
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