5th Class Mental Ability Factors and Multiples Question Bank

done Factors and Multiples Total Questions - 41

• question_answer1)
  A number X is exactly divisible by 6. What is the remainder when the same number is divided by 12?
  A)
   0                             done clear
  B)
   6             done clear
  C)
          Either (a) or (b) done clear
  D)
   Neither (a) nor (b) done clear
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• question_answer2)
  Find the sum of all the factors of 24.
  A)
   48          done clear
  B)
          24                          done clear
  C)
   60                          done clear
  D)
   54 done clear
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• question_answer3)
  Study the numbers given in the box. Identify the number that is not a divisor of the given numbers.
  A)
   23                          done clear
  B)
   24          done clear
  C)
          36          done clear
  D)
          12                          done clear
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• question_answer4)
  Find the L.C.M. of 12, 24 and 36.
  A)
   36                          done clear
  B)
   24          done clear
  C)
          72          done clear
  D)
          108                        done clear
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• question_answer5)
  What is the H.C.F. of two co-prime numbers?
  A)
   1             done clear
  B)
          0             done clear
  C)
          2             done clear
  D)
          Their product done clear
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• question_answer6)
  What is the H.C.F. of 120, 144 and 216?
  A)
   38          done clear
  B)
          24          done clear
  C)
          120        done clear
  D)
          144        done clear
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• question_answer7)
  When a number is increased by 8, it is divisible by 35. What is the remainder when the same number is divided by 5?
  A)
   2         done clear
  B)
          4             done clear
  C)
          3             done clear
  D)
          0                             done clear
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• question_answer8)
  The largest number less than 100 divisible by 15 is decreased by 5. Which of these is a factor of the resultant number?
  A)
   23          done clear
  B)
          17          done clear
  C)
          25          done clear
  D)
          19 done clear
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• question_answer9)
  P is the largest factor of 48 and Q is its smallest multiple. Find the value of \[\text{2P + 3Q}\].
  A)
   240        done clear
  B)
          360        done clear
  C)
          120        done clear
  D)
          480                        done clear
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• question_answer10)
  Which of the following sets of numbers have the same H.C.F?

  60 650 250	230 450	120 180 240	135 315 495
  P	Q	R	S

  A)
   Q and R                               done clear
  B)
   P and R                                done clear
  C)
   R and S done clear
  D)
          P and Q done clear
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• question_answer11)
  How many times the H.C.F. of 11, 33 and 88 is their L.C.M.?
  A)
   11          done clear
  B)
          24          done clear
  C)
          22          done clear
  D)
          3629      done clear
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• question_answer12)
  How many hundreds are there in the sum of the factors of 140?
  A)
   300        done clear
  B)
          30          done clear
  C)
          336        done clear
  D)
          3 done clear
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• question_answer13)
  Observe the twin primes in the table.

  (3, 5)	(5, 7)	(11, 13)	(17, 19)
  P	Q	R	S

  Which of the given twin primes are present in the prime factorisation of 2145?
  A)
   Q and R                               done clear
  B)
   P and S done clear
  C)
          P and Q               done clear
  D)
          P and R done clear
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• question_answer14)
  Study the prime factorisation of X and Y given.

  \[\text{X = 2  }\!\!\times\!\!\text{  3  }\!\!\times\!\!\text{  3  }\!\!\times\!\!\text{  3  }\!\!\times\!\!\text{  3  }\!\!\times\!\!\text{  3  }\!\!\times\!\!\text{  5}\]

  \[\text{Y = 2  }\!\!\times\!\!\text{  2  }\!\!\times\!\!\text{  3  }\!\!\times\!\!\text{  3  }\!\!\times\!\!\text{  5  }\!\!\times\!\!\text{  19}\]

  What is the place value of 8 in the sum of the numbers X and Y?
  A)
   \[\text{8 }\times \text{ 1000}\] done clear
  B)
          \[\text{8 }\times \text{ 100}\]   done clear
  C)
          \[\text{8 }\times \text{ 10}\]     done clear
  D)
          \[\text{8 }\times \text{ 1}\]                       done clear
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• question_answer15)
  Aakash's age is a factor of 14. Next year his age will be a multiple of 5. How old will he be in 6 years' time?
  A)
   15 years              done clear
  B)
          21 years              done clear
  C)
          14 years              done clear
  D)
          20 years done clear
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• question_answer16)
  Study the following.

  M is the least common multiple of 18, 24 and 40

  N is the highest common factor of 60, 189 and 360

  Which digit in the number \[\text{2M+15N}\] is in the thousands place?
  A)
   0             done clear
  B)
          1             done clear
  C)
          2             done clear
  D)
          6 done clear
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• question_answer17)
  Study the following.

  The number is between 10 and 50

  It is a multiple of 6

  It is a factor of 96

  Which of the following is NOT a possible value of the number?
  A)
   12          done clear
  B)
          24          done clear
  C)
          30          done clear
  D)
          48                          done clear
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• question_answer18)
  What is the number which is a multiple of both '3' and '6' but not 9?
  A)
   72          done clear
  B)
          63          done clear
  C)
   45          done clear
  D)
          48 done clear
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• question_answer19)
  Observe the figure given. Identify the missing numbers X and Y.
  A)
   \[\begin{align}   & \text{X = 24} \\  & \text{Y = 26} \\ \end{align}\]      done clear
  B)
          \[\begin{align}   & \text{X = 22} \\  & \text{Y = 24} \\ \end{align}\]      done clear
  C)
          \[\begin{align}   & \text{X = 19} \\  & \text{Y = 20} \\ \end{align}\]      done clear
  D)
          \[\begin{align}   & \text{X = 23} \\  & \text{Y = 25} \\ \end{align}\] done clear
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• question_answer20)
  What is the value of X if it is the H.C.F of 240 and 288?
  A)
   48          done clear
  B)
          16          done clear
  C)
          30          done clear
  D)
          32          done clear
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• question_answer21)
  If 'a' and 'b' are two different numbers such that their product is 15, what is the product of their L.C.M. and H.C.F.?
  A)
   10          done clear
  B)
          15          done clear
  C)
          27          done clear
  D)
          53                          done clear
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• question_answer22)
  Which number can be divided into two equal groups with no remainder?
  A)
   850        done clear
  B)
          493        done clear
  C)
          223                        done clear
  D)
   395 done clear
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• question_answer23)
  15 and 30 are common multiples of 5 and X. X is a one-digit number other than 1. What is X?
  A)
   3             done clear
  B)
          6             done clear
  C)
   4                             done clear
  D)
   8             done clear
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• question_answer24)
  How many numbers between 6 and 40 can be divided by 3?
  A)
   12          done clear
  B)
          14      done clear
  C)
   11          done clear
  D)
          15          done clear
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• question_answer25)
  Find the number of zeroes from 10 to 110.
  A)
   12          done clear
  B)
          11          done clear
  C)
   13          done clear
  D)
          10          done clear
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• question_answer26)
  How many of the digit 8 are there altogether in numbers from 8 to 88?
  A)
   18          done clear
  B)
          16          done clear
  C)
   17          done clear
  D)
          19          done clear
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• question_answer27)
  Find the division with the greatest remainder.
  A)
   \[15\div 3\]                        done clear
  B)
          \[\text{23}\div \text{4}\]                            done clear
  C)
   \[\text{37}\div \text{5}\]                            done clear
  D)
          \[\text{32}\div \text{6}\]                            done clear
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• question_answer28)
  What is the sum of the first three common multiples of 6 and 9?
  A)
   54          done clear
  B)
          108        done clear
  C)
   162        done clear
  D)
          216        done clear
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• question_answer29)
  What are the common factors of 18, 36 and 48?
  A)
   6             done clear
  B)
          3             done clear
  C)
   2                             done clear
  D)
   All the above                    done clear
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• question_answer30)
  The Fish Bowl store had a sale. During the sale, the store gave away two kinds of fish, i.e., gold fish and cat fish.

  * Every 5th customer received a free gold fish.

  * Every 12th customer received a free cat fish.

  There were 134 customers on the day of the sale. Estimate the number of customers who received both a free gold fish and a free cat fish?
  A)
   2             done clear
  B)
          11          done clear
  C)
   26          done clear
  D)
          37 done clear
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• question_answer31)
  Which of the following is correct?
  A)
   \[\begin{align}   & 72\div 8>6 \\  & 18-9>3 \\ \end{align}\]      done clear
  B)
          \[\begin{align}   & 72\div 8<6 \\  & 18-9<3 \\ \end{align}\]      done clear
  C)
          \[\begin{align}   & 72\div 8=6 \\  & 18-9=3 \\ \end{align}\]      done clear
  D)
          \[\begin{align}   & 6\times 3>20 \\  & 19\times 2<35 \\ \end{align}\] done clear
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• question_answer32)
  There are 9 rows of seats in a theater. Each row has the same number of seats. If there is a total of 162 seats, how many seats are there in each row?
  A)
   17          done clear
  B)
          18          done clear
  C)
          19          done clear
  D)
          20                          done clear
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• question_answer33)
  Aarti bought 3 bags of red balls and 5 bags of white balls. Each bag has 7 balls in it. Which expression could Aarti use to find the total number of balls she bought?
  A)
   \[(7\times 3)+5\]            done clear
  B)
          \[\text{(7 }\times \text{ 5) + 3}\]             done clear
  C)
   \[\text{7 }\times \text{ (3 + 5)}\]             done clear
  D)
          \[\text{7 + (5 }\times \text{ 3)}\]             done clear
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• question_answer34)
  Which of the following is true?
  A)
   \[\text{6}\times \text{3 = 4}\times \text{4}\]    done clear
  B)
          \[\text{20 - 5 = 19 - 3}\]                                done clear
  C)
   \[\text{9 + 8 = 10 + 7}\]                 done clear
  D)
   \[\text{2  }\!\!\times\!\!\text{  3 = 2 + 3}\]                          done clear
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• question_answer35)
  Which of the following are numbers whose H.C.F. is 1?
  A)
   Prime numbers done clear
  B)
          Composite numbers done clear
  C)
   Co-prime numbers done clear
  D)
   Twin prime numbers done clear
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• question_answer36)
  What is the smallest number which is exactly divisible by 12, 16 and 20?
  A)
   12                          done clear
  B)
   20          done clear
  C)
   200        done clear
  D)
          240        done clear
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• question_answer37)
  Hari has 6 biscuits and Renu has 10 biscuits. Which of the following actions would result in Hari and Renu having the same number of biscuits?
  A)
   Hari gives 2 of his biscuits to Renu done clear
  B)
   Hari gives 4 of his biscuits to Renu done clear
  C)
   Renu gives 2 of her biscuits to Hari done clear
  D)
   Renu gives 4 of her biscuits to Hari done clear
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• question_answer38)
  Given that (p + 3) is the highest common factor of 81 and 108, find the value of p.
  A)
   6                             done clear
  B)
   9             done clear
  C)
          12          done clear
  D)
          24          done clear
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• question_answer39)
  If 84 is a common multiple of 4 and n, which of the following is not a value of n?
  A)
   6                             done clear
  B)
   7             done clear
  C)
          21          done clear
  D)
          24          done clear
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• question_answer40)
  The figure shows some of the factors of 60. What are the possible values of a and b?
  A)
   a = 2, b = 16                       done clear
  B)
   a = 4, b = 20       done clear
  C)
          a = 6, b = 25       done clear
  D)
          a = 8, b = 30                       done clear
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• question_answer41)
  A set of warning lights flashes every 3 seconds, another set flashes every 5 seconds and third set flashes every 8 seconds. If they all flash together at 12: 00 noon, at what time will they flash together again?
  A)
   12: 01 p.m.                         done clear
  B)
   12: 02 p.m.         done clear
  C)
          12: 06 p.m.         done clear
  D)
          12: 15 p.m.         done clear
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