SSC Quantitative Aptitude Basic Calculations Question Bank

done Square and Cube Root (II) Total Questions - 30

• question_answer1)
  The simplified value of \[\frac{\sqrt{3}-\sqrt{2}}{\sqrt{12}-\sqrt{18}}-\frac{1}{3}\times \sqrt{27}-\frac{1}{2}\times \sqrt[2]{27}\] is closest to [SSC CGL Tier II, 2017]
  A)
  \[(\sqrt{3}-1)\] done clear
  B)
  \[(1-\sqrt{3})\] done clear
  C)
  \[-\,\,(\sqrt{3}-1)\] done clear
  D)
  \[-\,\,(\sqrt{3}+1)\] done clear
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• question_answer2)
  If \[a=64\] and \[b=289,\] then the value of \[{{\left( \sqrt{\sqrt{a}+\sqrt{b}}-\sqrt{\sqrt{b}-\sqrt{a}} \right)}^{\frac{1}{2}}}\] is [SSC CGL Tier II, 2014]
  A)
  \[{{2}^{\frac{1}{2}}}\] done clear
  B)
  2 done clear
  C)
  4 done clear
  D)
  \[-\,2\] done clear
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• question_answer3)
  \[\sqrt{64009}\] is equal to [SSC CGL Tier II, 2014]
  A)
  352 done clear
  B)
  523 done clear
  C)
  253 done clear
  D)
  532 done clear
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• question_answer4)
  What is the smallest number by which 625 must be divided so that the quotient is a perfect cube? [SSC CGL Tier II, 2014]
  A)
  25 done clear
  B)
  5 done clear
  C)
  2 done clear
  D)
  3 done clear
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• question_answer5)
  If p = 90, then the value of \[p\,\,({{p}^{2}}+3p+3)\] is [SSC CGL Tier II, 2014]
  A)
  10000000 done clear
  B)
  999000 done clear
  C)
  999999 done clear
  D)
  990000 done clear
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• question_answer6)
  The square root of \[\frac{{{(0.75)}^{3}}}{1-0.75}+[0.75+{{(0.75)}^{2}}+1]\] is
  A)
  1 done clear
  B)
  2 done clear
  C)
  3 done clear
  D)
  4 done clear
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• question_answer7)
  If \[a=\sqrt{3+\sqrt{3+\sqrt{3+...\infty }}},\] then which of the following is true?
  A)
  \[a=3\] done clear
  B)
  \[3<a<4\] done clear
  C)
  \[a>3\] done clear
  D)
  \[2<a<3\] done clear
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• question_answer8)
  The square root of\[\frac{{{\left( 3\frac{1}{4} \right)}^{4}}-{{\left( 4\frac{1}{3} \right)}^{4}}}{{{\left( 3\frac{1}{4} \right)}^{2}}-{{\left( 4\frac{1}{3} \right)}^{2}}}\] is
  A)
  \[1\frac{7}{12}\] done clear
  B)
  \[1\frac{1}{12}\] done clear
  C)
  \[5\frac{5}{12}\] done clear
  D)
  \[7\frac{1}{12}\] done clear
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• question_answer9)
  Given that, \[\sqrt{4096}+\sqrt{40.96}+\sqrt{0.004096}\]
  A)
  70.4 done clear
  B)
  70.464 done clear
  C)
  71.104 done clear
  D)
  71.4 done clear
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• question_answer10)
  \[\frac{1}{(1+\sqrt{2}}+\frac{1}{(\sqrt{2}+\sqrt{3})}+\frac{1}{(\sqrt{3}+\sqrt{4})}+...+\frac{1}{(\sqrt{99}+\sqrt{100})}\]is equal to
  A)
  1 done clear
  B)
  5 done clear
  C)
  9 done clear
  D)
  10 done clear
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• question_answer11)
  \[3+\frac{1}{\sqrt{3}}+\frac{1}{3+\sqrt{3}}+\frac{1}{\sqrt{3}-3}\] is equal to
  A)
  0 done clear
  B)
  1 done clear
  C)
  3 done clear
  D)
  \[3+\sqrt{3}\] done clear
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• question_answer12)
  Given \[\frac{\sqrt{x+4}+\sqrt{x-10}}{\sqrt{x+4}-\sqrt{x-10}}=\frac{5}{2}.\] The value of x is
  A)
  \[\frac{17}{21}\] done clear
  B)
  1 done clear
  C)
  \[\frac{263}{20}\] done clear
  D)
  \[\frac{331}{5}\] done clear
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• question_answer13)
  If \[\sqrt{0.05\times 0.5\times a}=0.5\times 0.05\times \sqrt{b},\] then \[\frac{a}{b}\] is equal to
  A)
  0.0025 done clear
  B)
  0.025 done clear
  C)
  0.25 done clear
  D)
  25 done clear
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• question_answer14)
  \[\sqrt{2+\sqrt{2+\sqrt{2+...\infty }}}\]  is equal to
  A)
  \[\sqrt{2}\] done clear
  B)
  2 done clear
  C)
  \[2\sqrt{2}\] done clear
  D)
  \[2+\sqrt{2}\] done clear
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• question_answer15)
  While solving a problem, Samidha squared a number and then subtracted 25 from it rather than the required, i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number?
  A)
  13 done clear
  B)
  38 done clear
  C)
  48 done clear
  D)
  23 done clear
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• question_answer16)
  The value of\[\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}}}\] is
  A)
  3 done clear
  B)
  5 done clear
  C)
  7 done clear
  D)
  9 done clear
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• question_answer17)
  If \[\sqrt{1369}+\sqrt{0.0615+x}=37.25,\] then value of x is
  A)
  \[{{10}^{-\,\,1}}\] done clear
  B)
  \[{{10}^{-\,\,2}}\] done clear
  C)
  \[{{10}^{-\,\,3}}\] done clear
  D)
  None of these done clear
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• question_answer18)
  If \[\sqrt{1+\frac{x}{144}}=\frac{13}{12},\] then the value of x is
  A)
  0 done clear
  B)
  12 done clear
  C)
  13 done clear
  D)
  25 done clear
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• question_answer19)
  If \[\sqrt{1+\frac{5}{144}}=\left( 1+\frac{x}{12} \right),\] then the value of x is
  A)
  1 done clear
  B)
  2 done clear
  C)
  5 done clear
  D)
  9 done clear
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• question_answer20)
  If \[\sqrt{15}=3.88,\] then what is the value of \[\sqrt{\frac{5}{3}}?\]
  A)
  1.29 done clear
  B)
  1.2934 done clear
  C)
  \[1.29\overline{3}\] done clear
  D)
  1.295 done clear
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• question_answer21)
  If \[\sqrt{6}=2.45,\] then the value of \[\frac{\sqrt{2}}{3\sqrt{3}}\] is
  A)
  0.271 done clear
  B)
  0.272 done clear
  C)
  0.272 done clear
  D)
  None of these done clear
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• question_answer22)
  By what number should \[\frac{432}{625}\]be divided, so that the resultant is perfect cube?
  A)
  \[\frac{1}{3}\] done clear
  B)
  \[\frac{1}{5}\] done clear
  C)
  \[\frac{2}{5}\] done clear
  D)
  \[\frac{3}{5}\] done clear
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• question_answer23)
  \[\sqrt[3]{{{(216)}^{-\,\,3}}\div {{(343)}^{-\,\,2}}}\] is equal to
  A)
  \[\frac{36}{156}\] done clear
  B)
  \[\frac{17}{54}\] done clear
  C)
  \[\frac{49}{216}\] done clear
  D)
  \[\frac{49}{412}\] done clear
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• question_answer24)
  By which smallest number must 675 be multiplied, so that the product is perfect cube?
  A)
  5 done clear
  B)
  6 done clear
  C)
  7 done clear
  D)
  8 done clear
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• question_answer25)
  \[\sqrt[3]{0.000729}+\sqrt[3]{0.008}\] is equal to
  A)
  0.1 done clear
  B)
  0.5 done clear
  C)
  0.6 done clear
  D)
  0.8 done clear
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• question_answer26)
  By which smallest number must 3600 be divided, so that the quotient will be perfect cube?
  A)
  450 done clear
  B)
  216000 done clear
  C)
  4 done clear
  D)
  225 done clear
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• question_answer27)
  \[2+\sqrt{0.09}-\sqrt[3]{0.008}-75%\] of 2.80 is equal to
  A)
  0 done clear
  B)
  0.01 done clear
  C)
  \[-\,\,1\] done clear
  D)
  0.7 done clear
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• question_answer28)
  If cube of any number is found, then which of the following can be the unit's place digit?
  A)
  1 done clear
  B)
  8 done clear
  C)
  Any of 0 to 9 done clear
  D)
  9 done clear
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• question_answer29)
  If the square of a number is subtracted from the cube of that number, the result is 48, then the number is
  A)
  8 done clear
  B)
  6 done clear
  C)
  5 done clear
  D)
  4 done clear
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• question_answer30)
  The simplest value of \[\sqrt[3]{4\frac{12}{125}}\] is
  A)
  \[1\frac{3}{5}\] done clear
  B)
  \[1\frac{3}{5}\] done clear
  C)
  \[2\frac{2}{5}\] done clear
  D)
  \[1\frac{4}{5}\] done clear
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