6th Class Mathematics Playing with Numbers Question Bank

done Playing with Numbers Total Questions - 30

• question_answer1)
  A number is divisible by both 5 and 12. By which other number will that number be always divisible?
  A)
   72 done clear
  B)
   60 done clear
  C)
   62 done clear
  D)
   42 done clear
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• question_answer2)
  What least value should be given to * so that the number 653*47 is divisible by 11?
  A)
   9 done clear
  B)
   6 done clear
  C)
   7 done clear
  D)
   1 done clear
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• question_answer3)
  The number (11, 13) are ________ numbers.
  A)
   Co-prime done clear
  B)
   Prime done clear
  C)
   Both prime and co-prime done clear
  D)
   None of these done clear
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• question_answer4)
  The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively, is _________.
  A)
   1394 done clear
  B)
   1404 done clear
  C)
   1664 done clear
  D)
   1406 done clear
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• question_answer5)
  The HCF of two consecutive odd numbers is
  A)
   2 done clear
  B)
   0 done clear
  C)
   4 done clear
  D)
   1 done clear
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• question_answer6)
  The HCF of two numbers is 28 and their LCM is 336. If one number is 112, then the other number is ________.
  A)
   64 done clear
  B)
   84 done clear
  C)
   34 done clear
  D)
   92 done clear
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• question_answer7)
  A number which has more than two factors is called a
  A)
   Composite number done clear
  B)
   Even number done clear
  C)
   Odd number done clear
  D)
   Prime number done clear
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• question_answer8)
  Observe the following patterns. Then find the sum of 1+3+5+7+9+...+19.

  1	\[=1\times 1=1\]
  1+3	\[=2\times 2=4\]
  1+3+5	\[=3\times 3=9\]
  1+3+5+7	\[=4\times 4=16\]
  1+3+5+7+9	\[=5\times 5=25\]

  A)
   121 done clear
  B)
   81 done clear
  C)
   100 done clear
  D)
   64 done clear
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• question_answer9)
  The HCF of the denominator and the numerator of a fraction which is in its lowest form is
  A)
   1 done clear
  B)
   0 done clear
  C)
   Always an even number done clear
  D)
   Can't be determined done clear
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• question_answer10)
  The two numbers nearest to 10000 which are exactly divisible by each of 2, 3, 4, 5, 6 and 7, are _________.
  A)
   9660, 10080 done clear
  B)
   9320, 10080 done clear
  C)
   9660, 10060 done clear
  D)
   10340, 10080 done clear
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• question_answer11)
  The co-prime numbers from the following pairs, are _________.
  A)
   7 and 63 done clear
  B)
   36 and 25 done clear
  C)
   35 and 21 done clear
  D)
   63 and 81 done clear
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• question_answer12)
  Which of the following numbers has exactly 4 factors?
  A)
   16 done clear
  B)
   14 done clear
  C)
   18 done clear
  D)
   None of these done clear
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• question_answer13)
  HCF of the two numbers =
  A)
   Product of numbers + their LCM done clear
  B)
   Product of numbers - their LCM done clear
  C)
   Product of numbers x their LCM done clear
  D)
   Product of numbers - their LCM done clear
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• question_answer14)
  A number is always divisible by 90, if________.
  A)
   It is divisible by both 2 and 45 done clear
  B)
   It is divisible by both 5 and 18 done clear
  C)
   It is divisible by both 9 and 10 done clear
  D)
   All of these done clear
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• question_answer15)
  The reciprocal of the smallest prime number is _________.
  A)
   0 done clear
  B)
   \[\frac{1}{2}\] done clear
  C)
   1 done clear
  D)
   2 done clear
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• question_answer16)
  The two numbers which have only 1 as their common factor are called _________.
  A)
   Co-primes done clear
  B)
   Twin primes done clear
  C)
   Composite done clear
  D)
   Even numbers done clear
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• question_answer17)
  If 5476a is divisible by 3, then what can be the least value of a?
  A)
   1 done clear
  B)
   2 done clear
  C)
   3 done clear
  D)
   6 done clear
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• question_answer18)
  The least number which when decreased by 9 is exactly divisible by 12, 16, 24 and 48 is _________.
  A)
   16 done clear
  B)
   48 done clear
  C)
   57 done clear
  D)
   39 done clear
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• question_answer19)
  Find the greatest number which will divide the greatest 3-digit number and the greatest 4-digit number exactly.
  A)
   9 done clear
  B)
   8 done clear
  C)
   7 done clear
  D)
   3 done clear
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• question_answer20)
  The HCF and LCM of two numbers is 36 and 720 respectively. If one of the numbers is 180, the other number is _________.
  A)
   144 done clear
  B)
   120 done clear
  C)
   80 done clear
  D)
   64 done clear
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• question_answer21)
  There are 153 apples and 119 oranges. These fruits are to be arranged in heaps containing the same number of fruits. Then the greatest number of fruits possible in each heap is _________.
  A)
   15 done clear
  B)
   23 done clear
  C)
   17 done clear
  D)
   20 done clear
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• question_answer22)
  The least number of square tiles that will be needed to pave a plot 225 m by 30 m is
  A)
   30 tiles done clear
  B)
   15 tiles done clear
  C)
   25 tiles done clear
  D)
   45 tiles done clear
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• question_answer23)
  Three boys steps off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm, respectively. What is the minimum distance each should cover so that all can cover distanced complete steps?
  A)
   6930cm done clear
  B)
   6000cm done clear
  C)
   7000cm done clear
  D)
   6520cm done clear
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• question_answer24)
  Two tankers contain 850 litres and 680 litres of kerosene oil respectively, then the maximum capacity of a container which can measure the kerosene out of both the tankers when used an exact number of times is _________.
  A)
   170 litres done clear
  B)
   85 litres done clear
  C)
   34 litres done clear
  D)
   10 litres done clear
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• question_answer25)
  The length, breadth and height of a room are 403 cm, 434 cm and 465 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.
  A)
   31 cm done clear
  B)
   30 cm done clear
  C)
   25cm done clear
  D)
   35cm done clear
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• question_answer26)
  State T for true and 'F' for false.

  (i) If an even number is divided by 2, the quotient is always odd.

  (ii) All even numbers are composite numbers.

  (iii) The LCM of two co-prime numbers cannot be equal to their product.

  (iv) Every number is a factor of itself.

  A)

  (i)	(ii)	(iii)	(iv)
  T	T	F	F

  done clear
  B)

  (i)	(ii)	(iii)	(iv)
  F	F	F	T

  done clear
  C)

  (i)	(ii)	(iii)	(iv)
  T	F	T	T

  done clear
  D)

  (i)	(ii)	(iii)	(iv)
  F	F	T	T

  done clear
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• question_answer27)
  Read the following statements.

  Statement 1: A number for which sum of all its factors is equal to twice the number is called perfect number.

  Statement 2: If two numbers are divisible by a number, then their sum and difference are also divisible by that number.

  Which of the following options holds?
  A)
   Both Statement-1 and Statement-2 are true. done clear
  B)
   Statement-1 is true but Statement-2 is false. done clear
  C)
   Statement-1 is false but Statement-2 is true. done clear
  D)
   Both Statement-1 and Statement-2 are false. done clear
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• question_answer28)
  Fill in the blanks.

  (i) The HCF of two co-prime numbers is   P .

  (ii) Two natural numbers which have no common factor except 1 are called  Q    numbers.

  (iii) If a number is divisible by 9 then sum of its digits must be divisible by   R   .

  A)

  P	Q	R
  1	prime	3

  done clear
  B)

  P	Q	R
  1	co-prime	9

  done clear
  C)

  P	Q	R
  0	prime	9

  done clear
  D)

  P	Q	R
  0	co-prime	3

  done clear
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• question_answer29)
  Find the value of a + b + c, if 373a is divisible by 9, 473b is divisible by 11 and 371 c is divisible by 6.
  A)
   7 done clear
  B)
   6 done clear
  C)
   0 done clear
  D)
   9 done clear
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• question_answer30)
  Match the following.

  Column I	Column II
  (i) 49	(p) Multiple of 3
  (ii) 25	(q) Multiple of 4
  (iii) 16	(r) Multiple of 7
  (iv) 39	(s) Multiple of 5

  A)

  (i)	(ii)	(iii)	(iv)
  S	p	r	q

  done clear
  B)

  (i)	(ii)	(iii)	(iv)
  r	s	q	p

  done clear
  C)

  (i)	(ii)	(iii)	(iv)
  s	r	p	q

  done clear
  D)

  (i)	(ii)	(iii)	(iv)
  p	q	r	s

  done clear
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