8th Class Mathematics Squares and Square Roots Question Bank

done Squares and Square Roots Total Questions - 40

• question_answer1)
  What is the least perfect square which is divisible by 2, 4 and 6?
  A)
   \[36\]                                   done clear
  B)
                          \[64\]                   done clear
  C)
                          \[16\]                                   done clear
  D)
                          \[18\]                   done clear
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• question_answer2)
  What is the number of digits in the square root of 390625?
  A)
   \[4\]                                     done clear
  B)
                          \[6\]                     done clear
  C)
                          \[5\]                                     done clear
  D)
                          \[3\]                     done clear
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• question_answer3)
  What is the least perfect square exactly divisible by each of the numbers 6, 9, 15 and 20?
  A)
   3600                                      done clear
  B)
                          900                                        done clear
  C)
                          400                                        done clear
  D)
                          225                        done clear
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• question_answer4)
  The sides of a rectangular field are \[80\text{ }m\] and \[18\,m\] respectively. What is the length of its diagonal?
  A)
   \[84\,m\]                            done clear
  B)
                          \[98\,m\]                            done clear
  C)
                          \[82\,m\]                            done clear
  D)
                          \[86\,m\]            done clear
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• question_answer5)
  What is the least number which must be subtracted from 2509 to make it a perfect square?
  A)
   \[6\]                                     done clear
  B)
                          \[9\]                     done clear
  C)
                          \[12\]                                   done clear
  D)
                          \[14\]                   done clear
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• question_answer6)
  What is the square root of \[42\frac{583}{1369}\]?
  A)
   \[6\frac{19}{37}\]                            done clear
  B)
                          \[4\frac{2}{11}\]                              done clear
  C)
                          \[7\frac{2}{121}\]                            done clear
  D)
                          \[6\frac{12}{37}\]            done clear
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• question_answer7)
  If \[\sqrt{1+\frac{27}{169}}=1+\frac{x}{13},\] what is the value of 'x'?
  A)
  \[1\]                                     done clear
  B)
  \[14\]                   done clear
  C)
  \[10\]                                   done clear
  D)
  \[12\]                   done clear
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• question_answer8)
  What is the value of \[{{(501)}^{2}}-{{(500)}^{2}}\]?
  A)
   \[1\]                                     done clear
  B)
                          \[101\]                 done clear
  C)
                          \[1001\]                              done clear
  D)
                          \[100\]                                 done clear
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• question_answer9)
  Which of the following is a Pythagorean triplet?
  A)
   \[(6,8,10)\]                        done clear
  B)
                          \[(3,4,7)\]                           done clear
  C)
                          \[(5,12,18)\]                      done clear
  D)
                          \[(2,3,6)\]                           done clear
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• question_answer10)
  What is the value of \[1+3+5+7+9+...,..+25\]?
  A)
   \[196\]                                 done clear
  B)
                          \[625\]                 done clear
  C)
                          \[225\]                                 done clear
  D)
                          \[169\] done clear
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• question_answer11)
  What is the smallest number by which 396 must be multiplied so that the product is a perfect square?
  A)
   \[5\]                                     done clear
  B)
                          \[11\]                                   done clear
  C)
                          \[3\]                                     done clear
  D)
                          \[2\]                     done clear
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• question_answer12)
  Find the square root of \[\frac{0.081}{0.0064}\times \frac{0.484}{6.25}\times \frac{25}{12.1}\].
  A)
   \[0.45\]                               done clear
  B)
                          \[0.75\]                               done clear
  C)
                          \[0.95\]                               done clear
  D)
                          \[0.99\] done clear
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• question_answer13)
  Find the approximate value of \[\frac{1+\sqrt{0.01}}{1-\sqrt{0.1}}\]
  A)
   \[0.6\]                                  done clear
  B)
                          \[1.1\]                  done clear
  C)
                          \[1.6\]                                  done clear
  D)
                          \[1.7\]                  done clear
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• question_answer14)
  If \[x\,*y=\sqrt{{{x}^{2}}+{{y}^{2}}},\] find the value of \[\left( 1*2\sqrt{2} \right)\,\left( 1*-2\sqrt{2} \right)\].
  A)
   \[-7\]                                    done clear
  B)
                          \[0\]                     done clear
  C)
                          \[2\]                                     done clear
  D)
                          \[9\]                     done clear
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• question_answer15)
  Evaluate \[\sqrt{41-\sqrt{21+\sqrt{19-\sqrt{9}}}}\].
  A)
   \[3\]                                     done clear
  B)
                          \[6\]                     done clear
  C)
                          \[5\]                                     done clear
  D)
                          \[6.4\] done clear
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• question_answer16)
  Which of the following is a four digit perfect square number whose first two digits and last two digits taken separately are also perfect squares?
  A)
   \[1681\]                              done clear
  B)
                          \[1636\]                              done clear
  C)
                          \[3664\]                              done clear
  D)
                          \[6481\]                              done clear
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• question_answer17)
  Find the number, which when subtracted from its square results in 12.
  A)
   \[6\]                                     done clear
  B)
                          \[5\]                     done clear
  C)
                          \[4\]                     done clear
  D)
                          \[8\]                     done clear
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• question_answer18)
  Which is the smallest natural number which when added to the difference of squares of 17 and 13 gives a perfect square?               
  A)
   \[1\]                                     done clear
  B)
                          \[5\]                     done clear
  C)
                          \[11\]                                   done clear
  D)
                          \[24\] done clear
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• question_answer19)
  If \[\sqrt{\frac{16}{49}}=\frac{x}{49},\] the value of ?x'.
  A)
   \[4\]                                     done clear
  B)
                          \[7\]                     done clear
  C)
                          \[16\]                                   done clear
  D)
                          \[28\] done clear
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• question_answer20)
  The area of a square field is \[80\frac{244}{729}sq.\] m. What is the length of each side of the field?
  A)
   \[8.96\,m\]                                        done clear
  B)
                           \[10.26\,m\]                     done clear
  C)
                          \[13.54\,m\]                      done clear
  D)
                          \[9.86\,m\]                                                                                                                                                                        done clear
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• question_answer21)
  If \[\sqrt{{{2}^{n}}}=64,\] what is the value of 'n'?
  A)
   \[2\]                                     done clear
  B)
                          \[4\]                     done clear
  C)
                          \[6\]                                     done clear
  D)
                          \[12\] done clear
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• question_answer22)
  Evaluate \[\sqrt{\frac{36.1}{102.4}}\]
  A)
   \[\frac{29}{32}\]                                              done clear
  B)
                          \[\frac{19}{72}\]                              done clear
  C)
                          \[\frac{19}{32}\]                                              done clear
  D)
                          \[\frac{29}{62}\] done clear
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• question_answer23)
  Given \[\frac{x}{\sqrt{2.25}}=550,\] find the value of 'x'?.
  A)
   \[825\]                                 done clear
  B)
  \[82.5\]                               done clear
  C)
  \[3666.66\]                        done clear
  D)
  \[2\]                     done clear
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• question_answer24)
  If \[\sqrt{24}=4.899,\] find the value of \[\sqrt{\frac{8}{3}}\].
  A)
   \[0.544\]                             done clear
  B)
                          \[2.666\]                             done clear
  C)
                          \[1.633\]                             done clear
  D)
                          \[1.333\] done clear
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• question_answer25)
  Evaluate, \[\sqrt{\frac{4}{3}}-\sqrt{\frac{3}{4}}.\]
  A)
   \[\frac{1}{2\sqrt{3}}\]                                   done clear
  B)
                          \[-\frac{1}{2\sqrt{3}}\]                 done clear
  C)
                          \[1\]                                     done clear
  D)
                          \[\frac{5\sqrt{3}}{6}\]                   done clear
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• question_answer26)
  Find the value of the expression \[\sqrt{0.0009}\div \sqrt{0.01}\]
  A)
   \[3\]                                     done clear
  B)
                          \[0.3\]                  done clear
  C)
                          \[\frac{1}{3}\]                                   done clear
  D)
                          \[0.9\] done clear
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• question_answer27)
  If \[\sqrt{2401}=\sqrt{{{7}^{x}}},\] find the value of ?x?.
  A)
   \[3\]                                     done clear
  B)
                          \[4\]                     done clear
  C)
                          \[5\]                                     done clear
  D)
                          \[6\] done clear
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• question_answer28)
  Find the value of \[\sqrt{0.064}\] .
  A)
   \[0.8\]                                  done clear
  B)
                          \[0.08\]                               done clear
  C)
                          \[0.008\]                             done clear
  D)
                          \[0.253\] done clear
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• question_answer29)
  Find the value of \[\sqrt{\frac{0.16}{0.4}}\].
  A)
   \[0.2\]        done clear
  B)
                                                          \[0.02\]                               done clear
  C)
                          \[0.63\]                               done clear
  D)
                          \[\frac{2\sqrt{5}}{5}\]                   done clear
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• question_answer30)
  Which of the following is the smallest number of 4 digits, which is not a perfect square?
  A)
   \[1024\]                              done clear
  B)
                          \[1089\]                              done clear
  C)
                          \[1000\]                              done clear
  D)
                          \[1156\] done clear
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• question_answer31)
  A gardener wants to plant 17956 trees and arranges them in such a way that there are as many rows as there are trees in a row. What is the number of trees in a row?
  A)
   \[144\]                                 done clear
  B)
                          \[136\]                 done clear
  C)
                          \[154\]                                 done clear
  D)
                          \[134\]                 done clear
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• question_answer32)
  A group of students decided to collect as many rupees from each member of the group as is the number of members. If the total collection amounts to Rs.2209, what is the number of members in the group?
  A)
   \[37\]                                   done clear
  B)
                          \[47\]                   done clear
  C)
                          \[107\]                                 done clear
  D)
                          \[43\] done clear
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• question_answer33)
  A general wishes to draw up his 36562 soldiers in the form of a solid square. After arranging them, he found that some of them are left over. How many are left?
  A)
   \[36\]                                   done clear
  B)
                          \[65\]                   done clear
  C)
                          \[81\]                                   done clear
  D)
                          \[97\]                   done clear
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• question_answer34)
  Find the value \[\sqrt{\frac{0.289}{0.00121}}\].
  A)
   \[\frac{1.7}{11}\]                                             done clear
  B)
                          \[\frac{17}{11}\]                              done clear
  C)
                          \[\frac{170}{11}\]                                            done clear
  D)
                          \[\frac{17}{110}\] done clear
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• question_answer35)
  If \[\sqrt{75.24+x}=8.71,\] find the value of 'x'.
  A)
   \[0.6241\]                           done clear
  B)
                          \[6.241\]                             done clear
  C)
                          \[62.41\]                             done clear
  D)
                          \[624.1\]                             done clear
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• question_answer36)
  If \[\sqrt{3}=1.732,\] find the approximate value of \[\frac{1}{\sqrt{3}}.\]
  A)
   \[0.016\]                             done clear
  B)
                          \[0.313\]                             done clear
  C)
                          \[0.577\]                             done clear
  D)
                          \[0.173\] done clear
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• question_answer37)
  If \[\sqrt{0.04\times 0.4\times a}=0.4\times 0.04\times \sqrt{b},\]what is the value of \[\frac{a}{b}\]?
  A)
   \[0.016\]                             done clear
  B)
                          \[1.60\]                               done clear
  C)
                          \[0.16\]                               done clear
  D)
                          \[16\]                   done clear
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• question_answer38)
  A Find the value of \[\sqrt{2\sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}}}\].
  A)
   \[0\]                                     done clear
  B)
                          \[1\]                     done clear
  C)
                          \[2\]                                     done clear
  D)
                          \[{{2}^{31/32}}\] done clear
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• question_answer39)
  Find the largest number of 5 digits, which is perfect square.
  A)
   \[99999\]                            done clear
  B)
                          \[99764\]                            done clear
  C)
                          \[99976\]                            done clear
  D)
                          \[99856\] done clear
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• question_answer40)
  Which smallest number must be added to 269 to make it a perfect square?
  A)
   \[31\]                                   done clear
  B)
                          \[16\]                   done clear
  C)
                          \[20\]                                   done clear
  D)
         \[7\] done clear
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