8th Class Mental Ability Squares and Square Roots Question Bank

done Squares and square Roots Total Questions - 39

• question_answer1)
  The area of a square tin plate is \[7056\text{ }c{{m}^{2}}.\] Find the length of its side.
  A)
   74 cm                         done clear
  B)
   66 cm             done clear
  C)
     76 cm             done clear
  D)
     84 cm done clear
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• question_answer2)
  The surface area of a glass cube is \[1350\text{ }c{{m}^{2}}.\] Find the length of one of its sides.
  A)
   10 cm             done clear
  B)
     20 cm             done clear
  C)
     15 cm             done clear
  D)
     12 cm             done clear
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• question_answer3)
  Find the value of\[\sqrt{1521}.\]
  A)
   31                     done clear
  B)
     39                   done clear
  C)
     41                               done clear
  D)
   49                   done clear
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• question_answer4)
  Which of the following triplets is Pythagorean?
  A)
   6, 12, 13         done clear
  B)
     15, 63, 65       done clear
  C)
     9, 40, 41 done clear
  D)
     18, 81, 82                   done clear
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• question_answer5)
  Find the square of 37.
  A)
   1369               done clear
  B)
     1289               done clear
  C)
     1389               done clear
  D)
     1269               done clear
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• question_answer6)
  Find the sum of the first seven odd numbers
  A)
   56                     done clear
  B)
     81                   done clear
  C)
     67                   done clear
  D)
     49                   done clear
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• question_answer7)
  What is the value of \[\frac{\sqrt{196}+\sqrt{256}}{\sqrt{225}}?\]
  A)
   1                     done clear
  B)
     2        done clear
  C)
     3         done clear
  D)
     4                     done clear
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• question_answer8)
  Which of these numbers is NOT a perfect square?
  A)
   1156               done clear
  B)
     2304               done clear
  C)
     2916               done clear
  D)
     1468               done clear
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• question_answer9)
  Identify the value of \[{{1000}^{2}}-{{999}^{2}}.\]
  A)
   1998               done clear
  B)
     1999               done clear
  C)
     1987               done clear
  D)
     1                     done clear
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• question_answer10)
  Which of the following is the units digit in the square root of 15876?
  A)
   6                     done clear
  B)
     4         done clear
  C)
     2                     done clear
  D)
     8                     done clear
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• question_answer11)
  Find the value of \[\sqrt{.0025}\times \sqrt{2.25}\times \sqrt{.0001}.\]
  A)
   0.075              done clear
  B)
     0.0075            done clear
  C)
     0.00075                      done clear
  D)
   0.000075        done clear
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• question_answer12)
  Find the smallest number by which 5808 should be multiplied so that the product becomes a perfect square.
  A)
   4                     done clear
  B)
     2        done clear
  C)
   3         done clear
  D)
     1                     done clear
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• question_answer13)
  Find the value of \[\sqrt{2\sqrt{111+\sqrt{95+\sqrt{25}}}}.\]
  A)
   7                     done clear
  B)
     3         done clear
  C)
     5         done clear
  D)
     6                     done clear
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• question_answer14)
  Find the least number by which 384 must be divided to make it a perfect square.
  A)
   4                     done clear
  B)
     8        done clear
  C)
     3         done clear
  D)
     6                     done clear
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• question_answer15)
  Find the number that does not belong to the series 16, 25, 36, 72, 144, 196, 225.
  A)
   196                 done clear
  B)
     225                 done clear
  C)
     72      done clear
  D)
     36                   done clear
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• question_answer16)
  Identify the square root of 70.56.
  A)
   8.2                  done clear
  B)
     7.2                  done clear
  C)
     7.3                  done clear
  D)
     8.4      done clear
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• question_answer17)
  Find the value of \[\sqrt{3\frac{1}{16}}.\]
  A)
   \[3\frac{3}{4}\]          done clear
  B)
                 \[3\frac{1}{4}\]                      done clear
  C)
   \[1\frac{3}{4}\]                      done clear
  D)
     \[1\frac{1}{4}\]          done clear
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• question_answer18)
  Find the square root of 577600.
  A)
   560                 done clear
  B)
     860                 done clear
  C)
     660                 done clear
  D)
     760     done clear
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• question_answer19)
  In the given figure, find the value of \['x'\]
  A)
   46                   done clear
  B)
     48                   done clear
  C)
   44                   done clear
  D)
     42                   done clear
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• question_answer20)
  Identify the greatest four digit number which is a perfect square.
  A)
   9981               done clear
  B)
     9999               done clear
  C)
     9801               done clear
  D)
     9994               done clear
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• question_answer21)
  If \[{{8}^{2}}+{{9}^{2}}+{{x}^{2}}={{y}^{2}},\] find the values of \[x\] and \[y.\]
  A)
   52, 53             done clear
  B)
     72, 73             done clear
  C)
     62, 63             done clear
  D)
     82, 83             done clear
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• question_answer22)
  The side of a square is 16 cm. What is the length of one of its diagonals?
  A)
   \[14\sqrt{2}\]  done clear
  B)
    \[12\sqrt{2}\]   done clear
  C)
     \[18\sqrt{2}\]  done clear
  D)
    \[16\sqrt{2}\]               done clear
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• question_answer23)
  The number of zeros at the end of a perfect square is always _.
  A)
   odd                 done clear
  B)
     prime    done clear
  C)
   even                done clear
  D)
     irrational                     done clear
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• question_answer24)
  The length and breadth of a rectangular field are in the ratio 4:3. Its area is 6.75 hectares. Find the length of the field.
  A)
   300m     done clear
  B)
   240 m                         done clear
  C)
   144 m             done clear
  D)
     180 m             done clear
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• question_answer25)
  How many natural numbers lie between \[{{13}^{2}}\] and \[{{14}^{2}}?\]
  A)
   25                   done clear
  B)
     26                   done clear
  C)
     28      done clear
  D)
     29                   done clear
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• question_answer26)
  Find the value of\[\sqrt{{{37}^{2}}-{{35}^{2}}}.\]
  A)
   2                     done clear
  B)
     4         done clear
  C)
     8         done clear
  D)
     12                   done clear
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• question_answer27)
  There are a certain number of rows of frees in a garden. The number of trees in each row is twice the number of rows. Find the number of trees in each row and the number of rows in the garden if the number of trees is 1250.
  A)
   25          done clear
  B)
     50                   done clear
  C)
     75      done clear
  D)
     35                   done clear
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• question_answer28)
  In a division problem, the dividend is 1261, the divisor is half the quotient and the remainder is 11. Find the divisor.
  A)
   20                   done clear
  B)
     22                   done clear
  C)
     25      done clear
  D)
     24                   done clear
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• question_answer29)
  The sum of the squares of two numbers is 169. One of the numbers is 5. What is the other number?
  A)
   12                   done clear
  B)
     11      done clear
  C)
     13       done clear
  D)
     14       done clear
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• question_answer30)
  If the square root of 2601 is 51, find the square root of 0.00002601.
  A)
   0.02601          done clear
  B)
     0.0051            done clear
  C)
   0.051              done clear
  D)
     0.00051                      done clear
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• question_answer31)
  Identify the match among the given options.

  Column ?I	Column-II
  A. Square root of a negative real number  B. Square root of a prime number  C. Square root of an odd number  D. Square root of an even number	(i) Odd number (ii) Even number (iii) Irrational number (iv) Non-real number

  A)
   A-(ii), B-(i), C-(iii), D-(iv) done clear
  B)
   A-(iv), B-(iii), C-(i), D-(ii) done clear
  C)
   A-(iv), B-(i), C-(iii), D-(ii) done clear
  D)
   A-(ii), B-(iii), C-(i), D-(iv) done clear
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• question_answer32)
  One fourth of a herd of cattle was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 cattle were seen on the banks of a river. Find the total number of cattle.
  A)
   16                   done clear
  B)
     49                   done clear
  C)
   64      done clear
  D)
     36                               done clear
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• question_answer33)
  Find the least 4 digit number which is a perfect square.
  A)
   1000               done clear
  B)
     1004               done clear
  C)
   1016               done clear
  D)
     1024               done clear
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• question_answer34)
  How many digits does the square root of a perfect square containing 'n' digits have?
  A)
  \[\frac{n+1}{2}\]                   done clear
  B)
     \[\frac{n}{2}\]                        done clear
  C)
     Either  or done clear
  D)
     \[\frac{n-1}{2}\]                    done clear
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• question_answer35)
  The area of a square is 4 hectares. Find the length of one of its sides.
  A)
   200 m             done clear
  B)
     400 m             done clear
  C)
     2000 m           done clear
  D)
     4000 m           done clear
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• question_answer36)
  The product of a number and itself is 3969. Find the number.
  A)
   33                   done clear
  B)
     43                   done clear
  C)
   53      done clear
  D)
     63                   done clear
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• question_answer37)
  What is the smallest number that is to e added to 680621 to make the sum a perfect square ?
  A)
   4                     done clear
  B)
     3                     done clear
  C)
   2         done clear
  D)
     7                     done clear
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• question_answer38)
  Find the least number to be subtracted from 16800 to make it a perfect square.
  A)
   249                 done clear
  B)
     159                 done clear
  C)
   169                 done clear
  D)
     219                 done clear
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• question_answer39)
  Find the least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24.
  A)
   1600               done clear
  B)
     3600               done clear
  C)
   1000               done clear
  D)
     6400 done clear
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