8th Class Mathematics Factorisation Question Bank

done Factors & Multiples Total Questions - 40

• question_answer1)
  Which of the following number is a perfect Number?
  A)
   20                               done clear
  B)
   26            done clear
  C)
   28                   done clear
  D)
   25 done clear
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• question_answer2)
  The number of prime Numbers between 1 to 100
  A)
   24 done clear
  B)
   26            done clear
  C)
   25                   done clear
  D)
   28 done clear
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• question_answer3)
  What least value should be assigned to \[*\] so that number \[653*47\] is divisible by 11
  A)
   1                                 done clear
  B)
   2             done clear
  C)
   6                     done clear
  D)
   9 done clear
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• question_answer4)
  Every counting number has an infinite number of
  A)
   Factor                         done clear
  B)
   Multiples       done clear
  C)
   Prime factor                done clear
  D)
   None of these done clear
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• question_answer5)
  The number of factors of 1080 is
  A)
   32                               done clear
  B)
   28            done clear
  C)
   24                   done clear
  D)
   36 done clear
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• question_answer6)
  Which of the following is pair of twin primes between 50 and 70?
  A)
   51, 53             done clear
  B)
   57, 59 done clear
  C)
   59, 61                         done clear
  D)
   63, 65 done clear
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• question_answer7)
  \[\frac{1219}{1431},\]when reduced to its simplest form, by dividing the numerator and denominator by their H.C.F. is
  A)
   33                               done clear
  B)
   23 done clear
  C)
   47                   done clear
  D)
   37 done clear
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• question_answer8)
  The greatest common factor of 120 and 192 is
  A)
   12                               done clear
  B)
   2             done clear
  C)
   3                                 done clear
  D)
   24 done clear
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• question_answer9)
  If \[x\]and \[y\]are two co-primes, then their LCM is
  A)
  \[xy\]                            done clear
  B)
   \[x+y\] done clear
  C)
  \[x\]                              done clear
  D)
   \[1\] done clear
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• question_answer10)
  Product of two co-primes numbers is 117 their LCM should be
  A)
   1 done clear
  B)
   117 done clear
  C)
   Equal to their HCF done clear
  D)
   Cannot be calculated done clear
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• question_answer11)
  A number N is divisible by both 8 and 12. Then N shall be divisible by
  A)
   24                               done clear
  B)
   48            done clear
  C)
   96                   done clear
  D)
   All of these done clear
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• question_answer12)
  Consider the following statement

  I. N is divisible by 8 for any value of n

  II. N is divisible by 6 for any value of n.

  A)
   Only I                          done clear
  B)
   Only II          done clear
  C)
   Both I and II                done clear
  D)
   Neither I nor II done clear
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• question_answer13)
  a, b and c are natural numbers such that a, b are co-primes and b, c are twin primes. Now consider the following statements.

  I. a must be a prime

  II. a, c must be co-prime.

  Which of the above statement(s) is /are true?
  A)
   Only I done clear
  B)
   Only II         done clear
  C)
   Both I and II done clear
  D)
   Neither I nor II done clear
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• question_answer14)
  The number \[N=112\times 3\times 2\]is divisible by 9. Now consider the following statements.

  I. N is divisible by 16

  II. N is divisible by 11

  Which of the above statement(s) is/are true for all possible values of\[x\]?
  A)
   Only I done clear
  B)
   Only II done clear
  C)
   Both I and II done clear
  D)
   Neither I nor II done clear
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• question_answer15)
  The ratio of two numbers is \[3:4\] and their HCF is 4. Their LCM is
  A)
   12                               done clear
  B)
   16 done clear
  C)
   24                   done clear
  D)
   48 done clear
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• question_answer16)
  The product of two numbers is 4107. If the HCF of these numbers is 37, then the greater number is
  A)
   101 done clear
  B)
   107           done clear
  C)
   111 done clear
  D)
   185 done clear
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• question_answer17)
  The LCM of \[21\times 32\times 5\times 11,\] \[24\times 34\times 52\times 7\]and \[25\times 33\times 53\times 72\times 11\] is
  A)
  \[22\times 32\times 5\]                         done clear
  B)
   \[25\times 34\times 52\] done clear
  C)
  \[23\times 32\times 5\times 7\times 11\]             done clear
  D)
  \[25\times 34\times 53\times 72\times 11\] done clear
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• question_answer18)
  The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is
  A)
   10                               done clear
  B)
   46            done clear
  C)
   70                   done clear
  D)
   90 done clear
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• question_answer19)
  Find the No. of factors of 15625
  A)
   7                                 done clear
  B)
   8 done clear
  C)
   9                                 done clear
  D)
   20 done clear
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• question_answer20)
  The LCM of two numbers is 1200. Which of the following cannot be their HCF
  A)
   600                             done clear
  B)
   500           done clear
  C)
   400                 done clear
  D)
   200 done clear
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• question_answer21)
  If \[{{P}_{1}}\] and \[{{P}_{2}}\] are two odd primes numbers such that \[{{P}_{1}}>{{P}_{2}}\]then \[P_{1}^{2}-P_{2}^{2}\] is
  A)
   an Even number done clear
  B)
   an odd number done clear
  C)
   an odd prime number             done clear
  D)
   a prime number done clear
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• question_answer22)
  LCM of two numbers is 26XX0 where X is an unknown digit, HCF of the numbers is 24. One of them is 7Y8 where Y is an unknown digit. Number of factors of the other number is
  A)
   28                               done clear
  B)
   32            done clear
  C)
   36                   done clear
  D)
   40 done clear
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• question_answer23)
  The LCM of two prime numbers \[x\] and \[y\]\[(x>y)\] is 161. The value of \[3y-x\] is
  A)
  \[-2\]                            done clear
  B)
   \[-1\] done clear
  C)
  \[1\]                             done clear
  D)
   \[2\] done clear
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• question_answer24)
  A number n is divisible by only two primes. Also twice of the number is a perfect square while thrice of the number is a perfect cube. The number of factors of least possible value of n is
  A)
   6                                 done clear
  B)
   8             done clear
  C)
   10                   done clear
  D)
   12 done clear
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• question_answer25)
  A number n has 10 factors. Now consider the following statements.

  (I) n can be a perfect square

  (II) n is divisible by three distinct primes

  Which of the above statement(s) is/ are true?
  A)
   Only I                          done clear
  B)
   Only II         done clear
  C)
   Both I and II                done clear
  D)
   Neither I nor II done clear
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• question_answer26)
  If two positive integers \[a\] and \[b\] are expressible in the form \[a=p{{q}^{2}}\]and \[b={{p}^{3}}\,\,p\,\,p,\,\,q\] being prime numbers, then LCM (a, b) is ,
  A)
  \[pq\]                            done clear
  B)
  \[{{p}^{3}}{{q}^{3}}\] done clear
  C)
  \[{{p}^{3}}{{q}^{2}}\]                            done clear
  D)
  \[{{p}^{2}}{{q}^{2}}\] done clear
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• question_answer27)
  If the LCM of \[a\]and 18 is 36 and the HCF of \[a\] and 18 is 2, then a=?
  A)
   2                                 done clear
  B)
   3            done clear
  C)
   4                                 done clear
  D)
   1 done clear
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• question_answer28)
  If n is a natural number, then \[{{9}^{2n}}-{{4}^{2n}};\] is divisible by
  A)
   5                                 done clear
  B)
   13             done clear
  C)
   both 5 and 13             done clear
  D)
   None of these done clear
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• question_answer29)
  If n is any natural number, then \[{{6}^{n}}-{{5}^{n}}\]always ends with
  A)
   1                                 done clear
  B)
   3 done clear
  C)
   5                                 done clear
  D)
   7 done clear
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• question_answer30)
  If the sum of LCM and HCF of two number is 1260 and their LCM is 900 more than of their HCF, then the product of two numbers is
  A)
   203400           done clear
  B)
   194400        done clear
  C)
   198400                       done clear
  D)
   205400 done clear
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• question_answer31)
  Find the number of factors\[{{21}^{3}}\times {{34}^{7}}\times {{46}^{8}}\times {{77}^{8}}=?\]
  A)
   6, 718, 464    done clear
  B)
   60,418, 464     done clear
  C)
   70, 416, 246               done clear
  D)
   7, 842, 321 done clear
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• question_answer32)
  Three bells toll at intervals of 14, 21, and 42 min. respectively. If they toll together at \[10:22\] am. When will they toll together for the first time after that?
  A)
  \[11:56\,am\]                done clear
  B)
   \[12:04\,pm\] done clear
  C)
  \[11:04\,am\]                done clear
  D)
   \[11:48\,am\] done clear
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• question_answer33)
  The LCM of \[\frac{a}{b},\,\,\frac{c}{d},\,\,\frac{e}{f}\] is equal to
  A)
   \[\frac{L.C.M\text{ }of\text{ }a.c.e}{H.C.F\text{ }of\text{ }b.d.f}\] done clear
  B)
   \[\frac{H.C.F\text{ }of\text{ }b.d.f}{L.C.M\text{ }of\text{ }a.c.e}\] done clear
  C)
   \[\frac{H.C.F\text{ }of\text{ }a,c,e~}{H.C.F\text{ }of\text{ }b,d,f}\]          done clear
  D)
   \[\frac{ace}{bdf}\] done clear
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• question_answer34)
  The sum of two numbers is 462 and their highest common factor is 22. What is the minimum number of pair that satisfy these conditions?
  A)
   5                                 done clear
  B)
   6             done clear
  C)
   7                                 done clear
  D)
   8 done clear
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• question_answer35)
  What is the least number which when divided by the numbers 3, 5, 6, 8, 10 and 12 leaves in each case a remainder of 2 but when divided by 13 leaves no remainder?
  A)
   962                             done clear
  B)
   692           done clear
  C)
   269                 done clear
  D)
   629 done clear
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• question_answer36)
  When I distribute some GMO books to my 40 students, three books will be left. If I distribute the same number of GMO books to my students and my colleague Rahul Chauhan, Seven GMO books are left. Find the minimum number of GMO books I have.
  A)
   1443                           done clear
  B)
   1476 done clear
  C)
   1480              done clear
  D)
   1483 done clear
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• question_answer37)
  Ten Students solved a total of 35 questions in a Global Math Olympiad. Each question was solved by exactly one student. There is at least one student who solved exactly one problem, at least one student who solved exactly two problems, and at least one student who solved exactly three problems. What is the minimum number of students who has/ have solved at least four problems?
  A)
   1 done clear
  B)
   2 done clear
  C)
   6 done clear
  D)
   5 done clear
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• question_answer38)
  Four prime numbers are in ascending order of their magnitudes. The product of the first three is 2, 431 and that of the last three is 4, 199. The largest given prime number is
  A)
   11 done clear
  B)
   13 done clear
  C)
   17 done clear
  D)
   19 done clear
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• question_answer39)
  A number N = 897324A64B is divided by both 8 and 9. Which of the following is the value of (A+B)?

  (i) 2

  (ii) 11

  (iii) 9

  A)
   Either (i) or (ii) done clear
  B)
   Either (ii) or (iii) done clear
  C)
   Either (i) or (ii) or (iii)                  done clear
  D)
   None of these done clear
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• question_answer40)
  LCM of two integers x and y is 311 what is the HCF of \[x\]and\[y\]?
  A)
   37 done clear
  B)
   1 done clear
  C)
   3 done clear
  D)
   Cannot be determine done clear
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