10th Class Mathematics Real Numbers Question Bank

done MCQs - Real Number Total Questions - 45

• question_answer1)
  For some integer m, every even integer is of the form
  A)
  m done clear
  B)
  m+1 done clear
  C)
  2m done clear
  D)
  2m+1 done clear
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• question_answer2)
  If n is an even natural number, then the largest natural number by which n(n +1)(n+ 2) is divisible, is
  A)
  6 done clear
  B)
  8 done clear
  C)
  12 done clear
  D)
  24 done clear
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• question_answer3)
  The product of two consecutive positive integers is divisible by 2'.
  A)
  True done clear
  B)
  False done clear
  C)
  Can't say done clear
  D)
  Partially True/False done clear
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• question_answer4)
  The number, \[{{4}^{n}}\], where n is a natural number, ends with the digit 0 for any natural number n.
  A)
  True done clear
  B)
  False done clear
  C)
  Can't say done clear
  D)
  Partially True/False done clear
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• question_answer5)
  \[{{12}^{n}}\]ends with the digit 0 or 5 for natural number n
  A)
  2 done clear
  B)
  3 done clear
  C)
  No value done clear
  D)
  5 done clear
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• question_answer6)
  \[\left( 3\times 5\times 7 \right)+7\]is a
  A)
  Prime number done clear
  B)
  Composite number done clear
  C)
  Can't say done clear
  D)
  None of these done clear
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• question_answer7)
  The number \[\left( 7\times 6\times 5\times 4\times 3\times 2\times 1 \right)+5\]is ......... number.
  A)
  Prime done clear
  B)
  Composite done clear
  C)
  Can't say done clear
  D)
  None of these done clear
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• question_answer8)
  The total number of factors of a prime number is
  A)
  1 done clear
  B)
  2 done clear
  C)
  0 done clear
  D)
  3 done clear
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• question_answer9)
   

  The values of x and y is the given figure are

  A)
  7, 13 done clear
  B)
  13, 7 done clear
  C)
  9, 12 done clear
  D)
  12, 9 done clear
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• question_answer10)
  HCF of 96 and 404 is equal to ......... .
  A)
  2 done clear
  B)
  3 done clear
  C)
  4 done clear
  D)
  5 done clear
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• question_answer11)
  Total number of distinct primes in the prime factorization of number 27300.
  A)
  5 done clear
  B)
  7 done clear
  C)
  13 done clear
  D)
  21 done clear
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• question_answer12)
  The unit place digit of HCF of \[{{2}^{2}}\times {{3}^{2}}\times {{5}^{3}}\times 7,\,{{2}^{3}}\times {{3}^{3}}\times {{5}^{2}}\times {{7}^{2}}\]and \[3\times 5\times 7\times 11\] is
  A)
  70 done clear
  B)
  105 done clear
  C)
  175 done clear
  D)
  225 done clear
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• question_answer13)
  If two positive integers a and b are written as \[a={{x}^{3}}{{y}^{2}}\] and \[b=x{{y}^{3}}\], where x, y are prime numbers, then HCF (a, b) is
  A)
  xy done clear
  B)
  \[x{{y}^{2}}\] done clear
  C)
  \[{{x}^{3}}{{y}^{3}}\] done clear
  D)
  \[{{x}^{2}}{{y}^{2}}\] done clear
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• question_answer14)
  Write the HCF of the smallest composite number and the smallest prime number.
  A)
  1 done clear
  B)
  2 done clear
  C)
  3 done clear
  D)
  4 done clear
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• question_answer15)
  Two numbers are in the ratio of 15 : 11. If their HCF is 13, then numbers will be
  A)
  195 and 143 done clear
  B)
  190 and 140 done clear
  C)
  185 and 163 done clear
  D)
  185 and 143 done clear
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• question_answer16)
  Product of two coprime numbers is 117 their LCM should be ......... .
  A)
  1 done clear
  B)
  117 done clear
  C)
  equal to their HCF done clear
  D)
  lies between 100-110 done clear
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• question_answer17)
  The least number that is divisible by all the numbers from 1 to 10 (both inclusive)
  A)
  10 done clear
  B)
  100 done clear
  C)
  504 done clear
  D)
  2520 done clear
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• question_answer18)
  If the HCF of 65 and 117 is expressible in the form 65m- 117, then find the value of m.
  A)
  1 done clear
  B)
  2 done clear
  C)
  3 done clear
  D)
  4 done clear
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• question_answer19)
  If LCM of 12 and 42 is 10m + 4, the value of m is equal to
  A)
  7 done clear
  B)
  8 done clear
  C)
  6 done clear
  D)
  9 done clear
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• question_answer20)
  There are 24 peaches, 36 apricots and 60 bananas and they have to arranged in several rows in such a way that every rows contains the same member of fruits of only one type. What is the minimum number of rows required for this to happen?
  A)
  12 done clear
  B)
  9 done clear
  C)
  10 done clear
  D)
  14 done clear
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• question_answer21)
  Four bells toll at intervals of 10 s, 15 s, 20 s and 30 s respectively. If they toll together at 10: 00 am at what time will they toll together for the first time after 10am?
  A)
  10: 01 am done clear
  B)
  10: 02 am done clear
  C)
  10: 00: 30 am done clear
  D)
  10: 00: 45 am done clear
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• question_answer22)
  P is the LCM of 2, 4, 6, 8, 10; Q is the LCM of 1, 3, 5, 7, 9 and L is the LCM of P and Q. Then, which of the following is true?
  A)
  L=21P done clear
  B)
  L=40 done clear
  C)
  L=63P done clear
  D)
  L=16P done clear
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• question_answer23)
  The LCM and HCF of 120 and 144 by fundamental theorem of arithmetic is
  A)
  720, 22 done clear
  B)
  720, 24 done clear
  C)
  640, 24 done clear
  D)
  640, 22 done clear
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• question_answer24)
  If HCF of two numbers is 2 and their product is 120, find their LCM.
  A)
  120 done clear
  B)
  60 done clear
  C)
  240 done clear
  D)
  80 done clear
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• question_answer25)
  If the HCF of 65 and 117 is 13, LCM of 65 and 117 is 45 x a, then the value of a is
  A)
  9 done clear
  B)
  11 done clear
  C)
  13 done clear
  D)
  17 done clear
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• question_answer26)
  If HCF (a, b) = 12 and \[a\times b=1800\], then LCM (a, b) =
  A)
  3600 done clear
  B)
  900 done clear
  C)
  150 done clear
  D)
  90 done clear
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• question_answer27)
  If HCF of 306 and 657 is 9, then their LCM is ..........
  A)
  22338 done clear
  B)
  23328 done clear
  C)
  22833 done clear
  D)
  33228 done clear
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• question_answer28)
  The LCM and the HCF of two numbers are 1001 and 7 respectively. How many such pairs are possible?
  A)
  0 done clear
  B)
  1 done clear
  C)
  2 done clear
  D)
  7 done clear
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• question_answer29)
  If p is prime, then HCF and LCM of p and p + 1 would be
  A)
  HCF=p, LCM=p+1 done clear
  B)
  HCF=p (p+1), LCM=1 done clear
  C)
  HCF=1, LCM=p (p+1) done clear
  D)
  None of the above done clear
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• question_answer30)
  The HCF and LCM of 12, 21 and 15 respectively, are
  A)
  3,140 done clear
  B)
  12,420 done clear
  C)
  3,420 done clear
  D)
  420,3 done clear
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• question_answer31)
  In which of the following is a irrational number?
  A)
  \[\frac{22}{7}\] done clear
  B)
  3.1416 done clear
  C)
  \[3.\overline{1416}\] done clear
  D)
  3.141441444... done clear
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• question_answer32)
  The number of irrational numbers between 15 and 18 is infinite.
  A)
  True done clear
  B)
  False done clear
  C)
  Can't say done clear
  D)
  Partially True/False done clear
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• question_answer33)
  The product of a non-zero rational and an irrational number is
  A)
  always irrational done clear
  B)
  always rational done clear
  C)
  rational or irrational done clear
  D)
  one done clear
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• question_answer34)
  \[3.\overline{27}\] is
  A)
  an integer number done clear
  B)
  a rational number done clear
  C)
  an irrational number done clear
  D)
  None of these done clear
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• question_answer35)
  A rational number p/q has a terminating decimal expansion of prime factorization of q have
  A)
  3 done clear
  B)
  2 done clear
  C)
  5 done clear
  D)
  Both [b] and [c] done clear
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• question_answer36)
  If \[\frac{13}{125}\]is a rational number, then decimal expansion of it, 'which terminates
  A)
  0.104 done clear
  B)
  1.04 done clear
  C)
  0.0104 done clear
  D)
  0.140 done clear
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• question_answer37)
  On the basis of form \[{{2}^{m}}\times {{5}^{n}}\]of denominator that \[\frac{1458}{1250}\]will be expanded in decimal upto places will be
  A)
  one done clear
  B)
  two done clear
  C)
  three done clear
  D)
  four done clear
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• question_answer38)
  After how many places, the decimal form of \[\frac{125}{{{2}^{4}}{{.5}^{3}}}\]will terminate?
  A)
  Three places done clear
  B)
  Four places done clear
  C)
  Two places done clear
  D)
  None of these done clear
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• question_answer39)
  Without actually performing the long division, the terminating decimal expansion of \[\frac{51}{1500}\]is in the form of \[\frac{17}{{{2}^{n}}\times {{5}^{m}}}\], then (m + n) is equal to
  A)
  2 done clear
  B)
  3 done clear
  C)
  5 done clear
  D)
  8 done clear
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• question_answer40)
  The rational number which can be expressed as a terminating decimal number will be
  A)
  \[\frac{77}{210}\] done clear
  B)
  \[\frac{129}{{{2}^{2}}\times {{5}^{7}}\times {{7}^{5}}}\] done clear
  C)
  \[\frac{13}{3125}\] done clear
  D)
  \[\frac{8}{17}\] done clear
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• question_answer41)
  Which of the following rational numbers have non-terminating repeating decimal expansion?
  A)
  \[\frac{31}{3125}\] done clear
  B)
  \[\frac{71}{512}\] done clear
  C)
  \[\frac{23}{200}\] done clear
  D)
  None of these done clear
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• question_answer42)
  The rational number \[\frac{124}{164}\]can be expressed as a ......... decimal number.
  A)
  non-terminating done clear
  B)
  can't say done clear
  C)
  terminating done clear
  D)
  None of these done clear
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• question_answer43)
  The rational form of \[0.2\overline{54}\]is in the form of \[\frac{p}{q}\], then \[\left( p+q \right)\]is equal to 69.
  A)
  True done clear
  B)
  False done clear
  C)
  Can't say done clear
  D)
  Partially True/False done clear
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• question_answer44)
  Column-I denotes the number and Column-II denotes the prime factors of the numbers given in Column-I- Match them correctly.

  	Column - I		Column - II
  P.	945	1.	\[2\times 5\times {{11}^{2}}\times 17\]
  Q.	20570	2.	\[{{7}^{2}}\times 13\times 17\times 19\]
  R.	205751	3.	\[{{3}^{3}}\times 5\times 7\]

  A)
  P-3,      Q-1,     R-2 done clear
  B)
  P-1,      Q-3,     R-2 done clear
  C)
  P-2,      Q-1,     R-3 done clear
  D)
  P-1,      Q-2,     R-3 done clear
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• question_answer45)
  Match the Column

  	Column - I		Column - II
  P.	13/125	1.	Irrational
  Q.	\[\sqrt{2}\]	2.	Terminating decimal expansion
  R.	200/25	3.	Non-terminating repeating decimal expansion
  S.	61/455	4.	Rational number

  A)
  P-2,      Q-4,     R-1,     S-3 done clear
  B)
  P-2,      Q-1,     R-4,     S-3 done clear
  C)
  P-1,      Q-2,     R-3,     S-4 done clear
  D)
  P-1,      Q-2,     R-4,     S-3 done clear
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