8th Class Mathematics Playing with Numbers Question Bank

done Playing with Numbers Total Questions - 50

• question_answer1)
  By which of these numbers is the number 3116365 divisible?
  A)
   5              done clear
  B)
   7 done clear
  C)
   Both 5 and 7   done clear
  D)
   6 done clear
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• question_answer2)
  Which of the following statements is false?
  A)
   If a number is divisible by 8, it must be divisible by 4. done clear
  B)
   If a number is divisible by both 9 and 10, it is divisible by 90. done clear
  C)
   The sum of two consecutive odd numbers is always divisible by 4. done clear
  D)
   If a number is not divisible by both 3 and 4, it is divisible by 12. done clear
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• question_answer3)
  What value should be given to * so that the number \[653*47\]is divisible by 11?
  A)
   \[1\]                                     done clear
  B)
   \[6\]                     done clear
  C)
   \[2\]                     done clear
  D)
                          \[9\]                     done clear
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• question_answer4)
  Which is the least number of 4 digits that is exactly divisible by 13?
  A)
   \[1052\]                              done clear
  B)
   \[1039\]              done clear
  C)
          \[1032\]              done clear
  D)
          \[1001\] done clear
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• question_answer5)
  When is a number always divisible by 90?
  A)
   If it is divisible by both 2 and 45. done clear
  B)
   If it is not divisible by both 5 and 18. done clear
  C)
   If it is not divisible by both 9 and 10. done clear
  D)
   If it is divisible by 3 and 20. done clear
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• question_answer6)
  By which of the following numbers is 477 not divisible?
  A)
   \[3\]                                     done clear
  B)
   \[7\]                     done clear
  C)
   \[53\]                   done clear
  D)
          \[9\]                     done clear
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• question_answer7)
  If a number is divisible by 9, it is also divisible by which number?
  A)
   \[3\]                                     done clear
  B)
   \[6\]                     done clear
  C)
   \[2\]                     done clear
  D)
          \[4\]                     done clear
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• question_answer8)
  Which number is divisible by 6?
  A)
   \[213\]                                 done clear
  B)
   \[468\]                 done clear
  C)
   \[621\]                 done clear
  D)
          \[573\] done clear
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• question_answer9)
  \[32+m\] is a prime number. What is the least value of 'm'?
  A)
   \[3\]                                     done clear
  B)
   \[5\]     done clear
  C)
          \[6\]                     done clear
  D)
                          \[4\] done clear
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• question_answer10)
  Which of the following is not prime?
  A)
   \[107\]                                 done clear
  B)
   \[127\]                 done clear
  C)
    \[153\]                                done clear
  D)
   \[197\]                 done clear
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• question_answer11)
  Which of the given numbers is composite?
  A)
   \[137\]                                 done clear
  B)
   \[147\]                 done clear
  C)
   \[157\]                 done clear
  D)
          \[167\]                 done clear
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• question_answer12)
  A prime number is greater than 30 and lesser than 60. What is the greatest possible such number?
  A)
   \[37\]                                   done clear
  B)
   \[53\]                   done clear
  C)
   \[43\]                   done clear
  D)
          \[59\]                   done clear
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• question_answer13)
  Which of the following statements is true?
  A)
   A number is divisible by 4 if it is divisible by 2. done clear
  B)
   A number is divisible by 9 if it is divisible by 3. done clear
  C)
   A number is divisible by 11 if the number formed by its last two digits is divisible by 11. done clear
  D)
   A number is divisible by 8 if the number formed by its last three digits is divisible by 8. done clear
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• question_answer14)
  N is a 5-digit number divisible by 5. If N is bigger than 10000 and smaller than 10010, what is the value of N?
  A)
   \[10000\]                            done clear
  B)
   \[10010\]            done clear
  C)
          \[10005\]            done clear
  D)
          \[10001\]            done clear
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• question_answer15)
  Identify the multiple of 8.
  A)
   \[487718\]          done clear
  B)
          \[505672\]          done clear
  C)
          \[216428\]          done clear
  D)
          \[763121\]                          done clear
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• question_answer16)
  Which of the following is divisible by 12?
  A)
   \[284382\]                          done clear
  B)
   \[624876\]          done clear
  C)
   \[926248\]          done clear
  D)
          \[746174\]                          done clear
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• question_answer17)
  X is the least composite number between 85 and 100. What is the value of X?
  A)
   \[85\]                                   done clear
  B)
   \[99\]                   done clear
  C)
          \[100\]                 done clear
  D)
          \[86\]                   done clear
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• question_answer18)
  Z is a three digit even number less than 200, and more than 190 that is divisible by 7. Find Z.
  A)
   \[196\]                                 done clear
  B)
   \[193\]                 done clear
  C)
          \[199\]                 done clear
  D)
          \[197\]                 done clear
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• question_answer19)
  Identify the even prime number.
  A)
   \[132\]                                 done clear
  B)
   \[102\]                 done clear
  C)
   \[284\]                 done clear
  D)
          \[2\]                     done clear
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• question_answer20)
  How many prime numbers are there between 100 and 200?
  A)
   \[25\]                                   done clear
  B)
   \[19\]                   done clear
  C)
          \[21\]                   done clear
  D)
          \[20\]                   done clear
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• question_answer21)
  Identify a factor of 261111.
  A)
   \[8\]                                     done clear
  B)
   \[3\]     done clear
  C)
          \[4\]     done clear
  D)
          \[2\]                     done clear
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• question_answer22)
  30 is expressed in terms of prime numbers. Which of the expressions is incorrect?
  A)
   \[30=12+18\]   done clear
  B)
   \[30=11+19\] done clear
  C)
   \[30=13+17\]   done clear
  D)
   \[30=2\times 3\times 5\] done clear
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• question_answer23)
  Identify the incorrect statement.
  A)
   The sum of two odd numbers is always odd. done clear
  B)
   The product of two odd numbers is always odd. done clear
  C)
   The sum of two even numbers is always even. done clear
  D)
   The product of two even numbers is always even. done clear
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• question_answer24)
  \[{{x}^{2}}+x+11\]is a prime number. Which of the following is not a value of 'x'?
  A)
   \[1\]                                     done clear
  B)
   \[3\]     done clear
  C)
          \[4\]     done clear
  D)
          \[2\] done clear
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• question_answer25)
  If \[a-b\] is a multiple of 1, which of the following is also a multiple of 7?
  A)
   \[b-a\]                                 done clear
  B)
   \[ab\]                   done clear
  C)
   \[a+b\]                done clear
  D)
          \[\frac{a+b}{2}\]                             done clear
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• question_answer26)
  The units digit of a two digit number is 3 times the tens digit. If the digits are reversed, the resulting number is 36 more than the original number. What is the original number?
  A)
   \[26\]                                   done clear
  B)
   \[36\]                   done clear
  C)
          \[93\]                   done clear
  D)
          \[39\]                   done clear
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• question_answer27)
  If V and's' are both odd integers, which of the following must be an even integer?
  A)
   \[\frac{r+s}{2}\]                               done clear
  B)
   \[2rs\]                  done clear
  C)
          \[\frac{rs}{2}\]                                 done clear
  D)
          \[3rs\]                  done clear
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• question_answer28)
  When W is divided by 5, the remainder is 4. When 'n' is divided by 4, the remainder is 3. If \[0<n<100,\]what is a possible value of n'?
  A)
   \[9\]                                     done clear
  B)
   \[14\]                   done clear
  C)
          \[19\]                                   done clear
  D)
          \[24\]                   done clear
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• question_answer29)
  If 'n' is an even integer, which of the following must be an odd integer?
  A)
   \[3n-2\]               done clear
  B)
          \[n-2\] done clear
  C)
          \[3(n+1)\]          done clear
  D)
          \[\frac{n}{3}\]                  done clear
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• question_answer30)
  If \[a=4b+26\], and 'b' is a positive integer, which of the following does not divide 'a'?
  A)
   \[2\]                                     done clear
  B)
   \[5\]    done clear
  C)
   \[4\]                     done clear
  D)
          \[6\]                     done clear
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• question_answer31)
  If a, b, c and d are consecutive multiples of 5 and \[a<b<c<d,\]what is the value of \[(a-c)\,(d-b)\]?
  A)
   \[100\]                                 done clear
  B)
   \[-100\]               done clear
  C)
          \[25\]                   done clear
  D)
          \[-25\]                 done clear
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• question_answer32)
  The remainder when x' is divided by 5 equals the remainder when x' is divided by 4. Which of the following could not be a value of ?x'?
  A)
   \[20\]                                   done clear
  B)
   \[24\]                   done clear
  C)
          \[21\]                   done clear
  D)
          \[22\]                   done clear
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• question_answer33)
  If 'q' is an integer between 50 and 70 which can be expressed as \[7j+3,\]for some integer j what is a possible value of 'q'?
  A)
   \[59\]                   done clear
  B)
   \[53\]                   done clear
  C)
          \[64\]                   done clear
  D)
          \[68\]                   done clear
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• question_answer34)
  What is the remainder when the sum of three consecutive even integers is divided by 6?
  A)
   \[4\]                                     done clear
  B)
   \[1\]                     done clear
  C)
   \[0\]                     done clear
  D)
          \[3\]                     done clear
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• question_answer35)
  How many numbers between 1 and 200 are multiples of 5 and are divisible by 3?
  A)
   \[100\]                                 done clear
  B)
   \[50\]                   done clear
  C)
   \[95\]                   done clear
  D)
          \[93\]   done clear
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• question_answer36)
  Find the value of P, Q, R and S respectively. \[\begin{align}   & P\,\,Q\,\,R\,\,S \\  & \underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{S\,\,R\,\,Q\,\,P}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\,\,\,\,\,\,\,\,\,\,\times 9}}\,}}\,}}\, \\ \end{align}\]
  A)
    \[1,0,8,9\]                         done clear
  B)
   \[8,1,0,9\]          done clear
  C)
          \[1,0,9,8\]          done clear
  D)
          \[1,9,0,8\]                          done clear
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• question_answer37)
  Find the value of P, Q, R and S respectively. \[\begin{align}   & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,R\,\,S \\  & \,\,\,\,\,\,\,\,\,\,Q\,\,R\,\,S \\  & \underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{1\,\,\,\,\,\,9\,\,\,\,\,8\,\,\,\,\,9}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{+\,\,\,Q\,\,P\,\,R\,\,S}}\,}}\,}}\, \\ \end{align}\]
  A)
   \[6,1,7,3\]                          done clear
  B)
   \[1,7,3,6\]                          done clear
  C)
   \[7,1,6.3\]          done clear
  D)
          \[1,6,3,7\]          done clear
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• question_answer38)
  Find \[D+E+F\] from the following. \[DEF\times D=10DF\]
  A)
   \[12\]                                                   done clear
  B)
   \[4\]   done clear
  C)
   \[3\]                     done clear
  D)
          \[5\] done clear
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• question_answer39)
  X is the sum of the digits of a 3 digit number subtracted from the number. Which of the following is true?
  A)
   X is divisible by 5. done clear
  B)
   X is not divisible by 6. done clear
  C)
   X is divisible by 9. done clear
  D)
   X is not divisible by 9. done clear
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• question_answer40)
  If \[X+X+X=YX\] find the respective values of X and Y.
  A)
   \[6,1\]                                  done clear
  B)
   \[5,1\]                  done clear
  C)
   \[1,5\]                                  done clear
  D)
          \[1,6\] done clear
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• question_answer41)
  Which of the following is the usual form of\[100\times 8+10\times 5+9\]?
  A)
   \[985\]                                 done clear
  B)
   \[895\] done clear
  C)
   \[809\]                 done clear
  D)
          \[~859\] done clear
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• question_answer42)
  Which of the following integers has the most divisors?
  A)
   \[88\]                                   done clear
  B)
   \[91\]   done clear
  C)
   \[99\]                   done clear
  D)
          \[101\]                 done clear
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• question_answer43)
  Which of the following numbers is exactly divisible by 99?
  A)
   \[114345\]          done clear
  B)
          \[135792\]          done clear
  C)
   \[3572404\]       done clear
  D)
   \[913464\] done clear
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• question_answer44)
  Which is the expanded form of 407?
  A)
   \[4\times 100+7\times 10\] done clear
  B)
   \[4\times 100+0\times 10+7\times 1\] done clear
  C)
   \[4\times 10+7\] done clear
  D)
   \[4\times 10+0\times 10+7\times 1\] done clear
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• question_answer45)
  In the product \[BA\times B3=57A,\]what are the respective positional values of B and A?
  A)
   \[6,7\]                  done clear
  B)
          \[5,2\]                  done clear
  C)
          \[7,4\]                  done clear
  D)
          \[2,5\]                  done clear
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• question_answer46)
    In which of the following pairs of numbers is it true that their sum is 11 times their product?
  A)
   \[1,1/11\]                           done clear
  B)
   \[1,1/10\]           done clear
  C)
          \[1,1/12\]           done clear
  D)
          \[1,10\]               done clear
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• question_answer47)
  X is a prime number greater than 50 but less than 70. What is the greatest possible value of X?
  A)
   \[53\]                   done clear
  B)
          \[61\]                   done clear
  C)
   \[67\]                   done clear
  D)
          \[59\] done clear
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• question_answer48)
  M is a composite number between 70 and 90. Which of the following is the greatest possible value of M?
  A)
   \[70\]                                   done clear
  B)
   \[88\]   done clear
  C)
   \[72\]                                   done clear
  D)
          \[90\]   done clear
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• question_answer49)
  Which of the following is true?
  A)
   7 is the least composite number. done clear
  B)
   53 is the only prime number between 50 and 60. done clear
  C)
    97 is the only prime number between 90 and 100. done clear
  D)
   1 is the least prime number. done clear
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• question_answer50)
  Which of the given statements is false?
  A)
   47 is the largest prime between the numbers 1 and 50. done clear
  B)
   89 is the only prime between 85 and 95. done clear
  C)
   99 is the largest composite number less than 100. done clear
  D)
   There are 10 prime numbers between 1 and 20. done clear
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