10th Class Mathematics Real Numbers Question Bank

done MCQs - Real Numbers Total Questions - 112

• question_answer1)

  If \[X=28+(1\times 2\times \times 3\times 4\times ...\times 16\times 28)\] and \[Y=17+(1\times 2\times 3\times ....\times 17),\]then which of the following is/are true?

  (i) X is a composite number

  (ii) Y is a prime number

  (iii) \[X-Y\]is a prime number

  (iv) \[X+Y\] is a composite number

  A)
  Both (i) and (iv) done clear
  B)
  Both (ii) and (iii) done clear
  C)
  Both (ii) and (iv) done clear
  D)
  Both (i) and (ii) done clear
  View Solution play_arrow

• question_answer2)
  If p and q are co-prime numbers, then \[{{p}^{2}}\]and \[{{q}^{2}}\] are:
  A)
  co-prime done clear
  B)
  not co-prime done clear
  C)
  even done clear
  D)
  odd done clear
  View Solution play_arrow

• question_answer3)
  If p and q are prime, then HCF \[(p,q)\] will be:
  A)
  p done clear
  B)
  q done clear
  C)
  1 done clear
  D)
  pq done clear
  View Solution play_arrow

• question_answer4)
  If LCM of a and 18 is 36 and 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
  View Solution play_arrow

• question_answer5)
              HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, then the other numbers is:
  A)
  207 done clear
  B)
  307 done clear
  C)
  1449 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer6)
  If p and q are positive integers such that \[p=a{{b}^{2}}\]and \[q={{a}^{3}}b\]where a, b are prime numbers, then HCF \[(p,q)=\]
  A)
  \[ab\] done clear
  B)
  \[{{a}^{2}}{{b}^{2}}\] done clear
  C)
  \[{{a}^{3}}{{b}^{2}}\] done clear
  D)
  \[{{a}^{3}}{{b}^{3}}\] done clear
  View Solution play_arrow

• question_answer7)
  \[7\times 11\times 17+17\] is:
  A)
  a prime number done clear
  B)
  a composite number done clear
  C)
  an odd number done clear
  D)
  divisible by 5 done clear
  View Solution play_arrow

• question_answer8)
  The least number which when divided by 18, 24, 30 and 42 will leave in each case the same remainder 1, would be:
  A)
  2520 done clear
  B)
  2519 done clear
  C)
  2521 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer9)
  HCF of \[({{2}^{3}}\times {{3}^{2}}\times 5),\] \[({{2}^{2}}\times {{3}^{3}}\times {{5}^{2}})\] and \[({{2}^{4}}\times 3\times {{5}^{3}}\times 7)\] is:
  A)
  30 done clear
  B)
  48 done clear
  C)
  60 done clear
  D)
  105 done clear
  View Solution play_arrow

• question_answer10)
  If the LCM of 12 and 42 is \[10m+4,\] then the value of m is:
  A)
  50 done clear
  B)
  8 done clear
  C)
  \[1/5\] done clear
  D)
  1 done clear
  View Solution play_arrow

• question_answer11)
  The value of HCF \[(8,9,25)\times LCM(8,9,25)\] is:
  A)
  500 done clear
  B)
  1800      done clear
  C)
  1810 done clear
  D)
  1500 done clear
  View Solution play_arrow

• question_answer12)
  If \[HCF(26,169)=13,\] then \[LCM(26,169)=\]
  A)
  26 done clear
  B)
  52 done clear
  C)
  338 done clear
  D)
  13 done clear
  View Solution play_arrow

• question_answer13)
  The LCM and HCF of two non-zero positive numbers are equal, then the numbers must be:
  A)
  prime done clear
  B)
  co-prime done clear
  C)
  composite done clear
  D)
  equal done clear
  View Solution play_arrow

• question_answer14)
             In a school, there are two sections-section A and sections of class X. There are 32 students in section A and 36 students in section B. Determine the minimum number of books required for their class library so that they can be distributed equally among students of section A or
  A)
  288 done clear
  B)
  388 done clear
  C)
  208 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer15)
  In a seminar, the number of participants in Hindi, English and Mathematics are 60,84 and 108 respectively. Find the minimum number of rooms required if in each room the same number of participants are to be seated and all of them being in the same subject.
  A)
  210 done clear
  B)
  21 done clear
  C)
  12 done clear
  D)
  3780 done clear
  View Solution play_arrow

• question_answer16)
  If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than 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
  View Solution play_arrow

• question_answer17)
  If two positive integers a and b are written as \[a={{x}^{3}}{{y}^{2}}\]and \[b=x{{y}^{3}};\] x, y are prime numbers, then \[HCF(a,b)\] is:                                                                                                        (NCERT EXEMPLAR)
  A)
  \[xy\] done clear
  B)
  \[x{{y}^{2}}\] done clear
  C)
  \[{{x}^{3}}{{y}^{3}}\] done clear
  D)
  \[{{x}^{2}}{{y}^{2}}\] done clear
  View Solution play_arrow

• question_answer18)
  If two positive integers p and q can be expressed as \[p=a{{b}^{2}}\]and \[q={{a}^{3}}b;\]\[a,b\] being prime numbers, then \[LCM\,(p,q)\] is:                                                                              (NCERT EXEMPLAR)
  A)
  \[ab\] done clear
  B)
  \[{{a}^{2}}{{b}^{2}}\] done clear
  C)
  \[{{a}^{3}}{{b}^{2}}\] done clear
  D)
  \[{{a}^{3}}{{b}^{3}}\] done clear
  View Solution play_arrow

• question_answer19)
  The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is:   (NCERT EXEMPLAR)
  A)
  10 done clear
  B)
  100 done clear
  C)
  504 done clear
  D)
  2520 done clear
  View Solution play_arrow

• question_answer20)
  Given that \[LCM(91,26)=182,\] then \[HCF\,\,(91,26)\] is:             (CBSE 2011)
  A)
  13 done clear
  B)
  26        done clear
  C)
  7 done clear
  D)
  9 done clear
  View Solution play_arrow

• question_answer21)

  The values of x and y in the given figure are:          (CBSE 2012)

  A)
  \[x=10;\,y=14\] done clear
  B)
  \[x=21;\,y=84\] done clear
  C)
  \[x=21;\,y=25\] done clear
  D)
  \[x=10;\,y=40\] done clear
  View Solution play_arrow

• question_answer22)
  LCM of \[{{2}^{3}}\times {{3}^{2}}\]and \[{{2}^{2}}\times {{3}^{3}}\] is:                  (CBSE 2012)
  A)
  \[{{2}^{3}}\] done clear
  B)
  \[{{3}^{3}}\] done clear
  C)
  \[{{2}^{3}}\times {{3}^{3}}\] done clear
  D)
  \[{{2}^{2}}\times {{3}^{2}}\] done clear
  View Solution play_arrow

• question_answer23)
                                            Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?
  A)
  12.20 pm done clear
  B)
  12.12 pm done clear
  C)
  12.11 pm done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer24)
  On Delhi road, three consecutive traffic lights change after 36,42 and 72 seconds. If the lights are first switched on at 9.00 am, at what time will they change simultaneously?
  A)
  \[\text{9}:0\text{8}:0\text{4}\] done clear
  B)
  \[\text{9}:0\text{8}:\text{24}\] done clear
  C)
  \[\text{9}:0\text{8}:\text{44}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer25)
  Two equilateral triangles have the sides of lengths \[\text{34 cm}\]and \[\text{85 cm}\] respectively. The greatest length of tape that can measure the sides of both of them exactly is:  
  A)
  \[\text{34 cm}\] done clear
  B)
  \[\text{17}\,\text{cm}\] done clear
  C)
  \[\text{51}\,\text{cm}\] done clear
  D)
  None of these    done clear
  View Solution play_arrow

• question_answer26)
                                The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is:
  A)
  66 done clear
  B)
  130        done clear
  C)
  132 done clear
  D)
  196    done clear
  View Solution play_arrow

• question_answer27)
       Find the greatest number of 5 digits, that will give us remainder of 5, when divided by 8 and 9 respectively.
  A)
  99921 done clear
  B)
  99931 done clear
  C)
  99941 done clear
  D)
  99951 done clear
  View Solution play_arrow

• question_answer28)
  What will be the least possible number of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length?          
  A)
  5 done clear
  B)
  6 done clear
  C)
  7 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer29)
  The LCM of \[2.5,\]\[0.5\]  and \[0.\text{175}\] is: 
  A)
  \[2.5\] done clear
  B)
  5 done clear
  C)
  \[7.5\] done clear
  D)
  \[17.5\] done clear
  View Solution play_arrow

• question_answer30)
  What is the smallest number which when increased by 6 becomes divisible by 36, 63 and 108?
  A)
  750 done clear
  B)
  752 done clear
  C)
  754 done clear
  D)
  756 done clear
  View Solution play_arrow

• question_answer31)
  What is the greatest possible speed at which a man can walk \[\text{52 km}\] and \[\text{91 km}\] in an exact number of minutes?
  A)
  \[\text{17m}/\text{min}\] done clear
  B)
  \[\text{7m}/\text{min}\] done clear
  C)
  \[\text{13m}/\text{min}\] done clear
  D)
  \[\text{26m}/\text{min}\] done clear
  View Solution play_arrow

• question_answer32)
              LCM of 5, 8, 12, 20 will not be a multiple of:
  A)
  5 done clear
  B)
  3 done clear
  C)
  9 done clear
  D)
  2 done clear
  View Solution play_arrow

• question_answer33)
  If \[A=2n+13,\] \[B=n+7,\] where n is a natural number then HCF of A and B is:    
  A)
  2 done clear
  B)
  1 done clear
  C)
  3 done clear
  D)
  4          done clear
  View Solution play_arrow

• question_answer34)
  Three runners running around a circular track, can complete one revolution in 2, 3 and 4 hrs respectively.           They will meet again at the starting point after:
  A)
  \[\text{8 hrs}\] done clear
  B)
  \[\text{6 hrs}\] done clear
  C)
  \[\text{12 hrs}\] done clear
  D)
  \[\text{18 hrs}\] done clear
  View Solution play_arrow

• question_answer35)
                          Two natural numbers whose difference is 66 and the least common multiple is 360, are:
  A)
  120 and 54 done clear
  B)
  90 and 24 done clear
  C)
  180 and 114 done clear
  D)
  130 and 64 done clear
  View Solution play_arrow

• question_answer36)
  Pairs of natural numbers whose least common multiple is 78 and the greatest common divisor is 13 are:
  A)
  58 and 13 or 16 and 29 done clear
  B)
  68 and 23 or 36 and 49 done clear
  C)
  18 and 73 or 56 and 93 done clear
  D)
  78 and 13 or 26 and 39 done clear
  View Solution play_arrow

• question_answer37)
  Two natural numbers whose sum is 85 and the least common multiple is 102 are:
  A)
  30 and 55 done clear
  B)
  17 and 68  done clear
  C)
  35 and 55 done clear
  D)
  51 and 34 done clear
  View Solution play_arrow

• question_answer38)
  4 Bells toll together at 9.00 am. They toll after 7,8,11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours?
  A)
  3 done clear
  B)
  4 done clear
  C)
  5 done clear
  D)
  6 done clear
  View Solution play_arrow

• question_answer39)
               The HCF of 2472, 1284 and a third number N is 12. If their LCM is \[{{2}^{3}}\times {{3}^{2}}\times 5\times 103\times 107,\] then the number N is:
  A)
  \[{{2}^{2}}\times {{3}^{2}}\times 7\] done clear
  B)
  \[{{2}^{2}}\times {{3}^{3}}\times 103\] done clear
  C)
  \[{{2}^{2}}\times {{3}^{2}}\times 5\] done clear
  D)
  \[{{2}^{4}}\times {{3}^{2}}\times 11\] done clear
  View Solution play_arrow

• question_answer40)
  A forester wants to plant 66 apple trees, 88 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also he wants to make distinct rows of trees (i.e., only one type of trees in one row). The number of minimum rows required are:
  A)
  2 done clear
  B)
  3 done clear
  C)
  10 done clear
  D)
  12 done clear
  View Solution play_arrow

• question_answer41)
  Which of the following represents the largest 4 digit number which can be added to 7249 in order to make the derived number divisible by each of 12,14,21,33 and 54?
  A)
  9123 done clear
  B)
  9383 done clear
  C)
  8727 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer42)
                            The ratio between the LCM and HCF of 5, 15 and 20 is:
  A)
  \[9:1\] done clear
  B)
  \[4:3\] done clear
  C)
  \[11:1\] done clear
  D)
  \[12:1\] done clear
  View Solution play_arrow

• question_answer43)

  There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girts alone.

  The total number of sections thus formed are:

  A)
  22 done clear
  B)
  16 done clear
  C)
  36 done clear
  D)
  21 done clear
  View Solution play_arrow

• question_answer44)
  Find the least number that when divided by 16, 18 and 20 leaves a remainder 4 in each case, but is completely divisible by 7
  A)
  365 done clear
  B)
  2884 done clear
  C)
  2774 done clear
  D)
  2974 done clear
  View Solution play_arrow

• question_answer45)
  Two friends were discussing their marks in an examination. While doing so, they realised that both the numbers had the same prime factors, although one got a score which had two more factors than other. If their marks are represented by one of the options as given below, which of the following options would correctly represent the number of marks they got?
  A)
  \[\text{3}0,\text{6}0\] done clear
  B)
  \[20,80\] done clear
  C)
  \[40,80\] done clear
  D)
  \[20,60\] done clear
  View Solution play_arrow

• question_answer46)
  The HCF of 20, 50 and 80 is:
  A)
  20 done clear
  B)
  10       done clear
  C)
  50 done clear
  D)
  80 done clear
  View Solution play_arrow

• question_answer47)
  The greatest number which divides 230, 1514 and 1351 leaving remainder 5 in each case is:
  A)
  34 done clear
  B)
  55 done clear
  C)
  17 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer48)
  The greatest number which divides 121,226 and 259 and leaves remainders 1, 2 and 3 respectively is:
  A)
  8 done clear
  B)
  16 done clear
  C)
  24 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer49)
  The sum of exponents of prime factors in the prime-factorisation of 196 is:            (CBSE 2020)
  A)
  3 done clear
  B)
  4 done clear
  C)
  5 done clear
  D)
  2 done clear
  View Solution play_arrow

• question_answer50)
  If the LCM of o and 18 is 36 and HCF of a and 18 is 2, then a is equal to:
  A)
  2 done clear
  B)
  3 done clear
  C)
  4 done clear
  D)
  1 done clear
  View Solution play_arrow

• question_answer51)
  HCF of two numbers is 27 and their LCM is 162. If one of the number is 54, then the other number is:   (CBSE 2020)
  A)
  36 done clear
  B)
  35 done clear
  C)
  9 done clear
  D)
  81 done clear
  View Solution play_arrow

• question_answer52)
              Two positive numbers have their HCF as 12 and their product as 6336. The number of pairs possible for the numbers, is:
  A)
  2 done clear
  B)
  3 done clear
  C)
  4 done clear
  D)
  5 done clear
  View Solution play_arrow

• question_answer53)
  The value of \[{{(12)}^{{{3}^{x}}}}+{{(18)}^{{{3}^{x}}}},\]\[x\in N,\] end with the digit:
  A)
  2 done clear
  B)
  8 done clear
  C)
  0 done clear
  D)
  cannot be determined done clear
  View Solution play_arrow

• question_answer54)
                      If \[a={{2}^{3}}\times 3,\]\[b=2\times 3\times 5,\]\[c={{3}^{n}}\times 5\]and LCM \[(a,b,c)={{2}^{3}}\times {{3}^{2}}\times 5,\]then n=
  A)
  1 done clear
  B)
  2 done clear
  C)
  3 done clear
  D)
  4 done clear
  View Solution play_arrow

• question_answer55)
  Three sets of Mathematics, Science and Biology books have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. The number of Mathematics books is 240, the number of Science books is 960 and the number of Biology books is 1024. The number of stack of Mathematics, Science and Biology books, assuming that the books are of the same thickness are respectively.
  A)
  \[\text{15, 6}0,\text{64}\] done clear
  B)
  \[\text{6}0,\text{15,64}\] done clear
  C)
  \[\text{64,15,6}0\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer56)
  The least number which is a perfect square and is divisible by each of 16.20 and 24 is:
  A)
  240 done clear
  B)
  1600 done clear
  C)
  2400 done clear
  D)
  3600 done clear
  View Solution play_arrow

• question_answer57)

  The values of x and y in the given figure are:

  A)
  \[7, 13\] done clear
  B)
  \[13, 7\] done clear
  C)
  \[9, 12\] done clear
  D)
  \[12, 9\] done clear
  View Solution play_arrow

• question_answer58)
  If \[P=(2)\,\,(4)\,\,(6)\,\,(20)\] and \[Q=(1)\,\,(3)\,\,(5)\,\,\,\,(19),\] then the HCF of P and Q is:
  A)
  \[({{3}^{3}})\,(5)\,(7)\] done clear
  B)
  \[({{3}^{4}})\,(5)\] done clear
  C)
  \[({{3}^{4}})\,({{5}^{2}})\,(7)\] done clear
  D)
  \[({{3}^{3}})\,({{5}^{2}})\] done clear
  View Solution play_arrow

• question_answer59)
  The number \[{{3}^{13}}-{{3}^{10}}\]is divisible by:
  A)
  2 and 3 done clear
  B)
  3 and 10  done clear
  C)
  2, 3 and 10 done clear
  D)
  2, 3 and 13 done clear
  View Solution play_arrow

• question_answer60)
  For any natural number n, \[{{9}^{n}}\]cannot end with the digit
  A)
  1 done clear
  B)
  2 done clear
  C)
  9 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer61)
  A number lies between 300 and 400. If the number is added to the number formed by reversing the digits, the sum is 888 and if the unit's digit and the ten's digit change places, the new number exceeds the original number by 9.        Then the number is:
  A)
  339 done clear
  B)
  341 done clear
  C)
  378 done clear
  D)
  345 done clear
  View Solution play_arrow

• question_answer62)

  1. The LCM of x and 18 is 36.

  2. The HCF of x and 28 is 2.

  What is the number x?

  A)
  1 done clear
  B)
  2 done clear
  C)
  3 done clear
  D)
  4 done clear
  View Solution play_arrow

• question_answer63)
  A circular field has a circumference of\[\text{36}0\text{ km}\]. Two cyclists Sumeet and John start together and can cycle at speeds of \[\text{12 km}/\text{h}\] and \[\text{15 km}/\text{h}\] respectively, round the circular field. They will meet again at the starting point after:
  A)
  \[40\,h\] done clear
  B)
  \[30\,h\] done clear
  C)
  \[180\,h\] done clear
  D)
  \[120\,h\] done clear
  View Solution play_arrow

• question_answer64)
                                         \[\text{2}.\text{13113111311113}\]... is:
  A)
  an integer done clear
  B)
  a rational number done clear
  C)
  an irrational number done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer65)
  Which of the following is not an irrational number?
  A)
  \[\sqrt{2}\] done clear
  B)
  \[\sqrt{3}\] done clear
  C)
  \[\sqrt{9}\] done clear
  D)
  \[\sqrt{7}\] done clear
  View Solution play_arrow

• question_answer66)
  The number \[(\sqrt{2}-\sqrt{3})\,\,(\sqrt{2}+\sqrt{3})\] will be:
  A)
  rational done clear
  B)
  irrational done clear
  C)
  whole number done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer67)
  Which of the following is irrational number?
  A)
  \[\sqrt{3}\] done clear
  B)
  \[3\sqrt{7}\] done clear
  C)
  \[\frac{2\sqrt{3}}{5}\] done clear
  D)
  All of these done clear
  View Solution play_arrow

• question_answer68)
  Which of the following is an irrational number?
  A)
  \[\frac{22}{7}\] done clear
  B)
  \[\text{3}\text{.1416}\] done clear
  C)
  \[3.\overline{1416}\] done clear
  D)
  \[\text{3}.\text{141141114}...\] done clear
  View Solution play_arrow

• question_answer69)
  The reciprocal of an irrational number is:
  A)
  an integer done clear
  B)
  a rational done clear
  C)
  a natural number done clear
  D)
  an irrational done clear
  View Solution play_arrow

• question_answer70)
  \[\sqrt{12}\] is:
  A)
  an integer done clear
  B)
  a rational number done clear
  C)
  an irrational number done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer71)
  \[\sqrt{3}\] is:
  A)
  an integer done clear
  B)
  a rational number done clear
  C)
  an irrational number done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer72)
  The product of two irrational numbers is:
  A)
  always a rational done clear
  B)
  always an irrational done clear
  C)
  one done clear
  D)
  always a non-zero number done clear
  View Solution play_arrow

• question_answer73)
  Which of the following is irrational number?
  A)
  \[0.\overline{133}\] done clear
  B)
  \[\text{5}.\text{329685}...\] done clear
  C)
  \[\text{3}.\text{5428}\] done clear
  D)
  \[\text{9}.\text{265}\] done clear
  View Solution play_arrow

• question_answer74)
  The product of a non-zero rational and an irrational number is:          (NCERT exemplar)
  A)
  always irrational done clear
  B)
  always rational done clear
  C)
  rational or irrational done clear
  D)
  one done clear
  View Solution play_arrow

• question_answer75)
  \[\pi -\frac{22}{7}\] is:                                                                             (CBSE 2012)
  A)
  a rational number       done clear
  B)
  an irrational number done clear
  C)
  a prime number done clear
  D)
  an even number done clear
  View Solution play_arrow

• question_answer76)
  \[3.\overline{27}\] is:
  A)
  an integer done clear
  B)
  a rational number done clear
  C)
  a natural number done clear
  D)
  an irrational number done clear
  View Solution play_arrow

• question_answer77)
  \[2\sqrt{3}\] is:                                   (CBSE 2020)
  A)
  an integer done clear
  B)
  a rational number done clear
  C)
  an irrational number done clear
  D)
  a whole number done clear
  View Solution play_arrow

• question_answer78)
  The rational form of \[0.2\overline{54}\]is in the form of \[\frac{p}{q}\]then \[(p+q)\] is:
  A)
  14 done clear
  B)
  55 done clear
  C)
  69 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer79)
  If \[a+b{{p}^{1/3}}+c{{p}^{2/3}}=0,\] where a, b, c, p are rational numbers and p is not perfect cube, then:
  A)
  \[a=b\ne c\] done clear
  B)
  \[a\ne b=c\] done clear
  C)
  \[a\ne b\ne c\] done clear
  D)
  \[a=b=c\] done clear
  View Solution play_arrow

• question_answer80)
  The rational number of the form \[\frac{p}{q},\] \[q\ne 0,\]p and q are positive integers, which represents \[0.1\overline{34}\]i.e., \[(0.\text{1343434}..........)\] is:
  A)
  \[\frac{134}{999}\] done clear
  B)
  \[\frac{134}{990}\] done clear
  C)
  \[\frac{133}{999}\] done clear
  D)
  \[\frac{133}{990}\] done clear
  View Solution play_arrow

• question_answer81)
  The decimal expansion of the rational number \[\frac{37}{{{2}^{2}}\times 5}\] will  terminate after:
  A)
  one decimal place done clear
  B)
  two decimal places done clear
  C)
  three decimal places done clear
  D)
  four decimal places done clear
  View Solution play_arrow

• question_answer82)
  The number of decimal places after which the decimal expansion of the rational number \[\frac{23}{{{2}^{2}}\times 5}\] will terminate, is:
  A)
  1 done clear
  B)
  2 done clear
  C)
  3 done clear
  D)
  4 done clear
  View Solution play_arrow

• question_answer83)
  The rational number \[\frac{13}{3125}\] has a:
  A)
  terminating decimal expansion done clear
  B)
  non-terminating decimal expansion done clear
  C)
  non-terminating repeating decimal expansion done clear
  D)
  non-terminating non-repeating decimal expansion done clear
  View Solution play_arrow

• question_answer84)
  \[\text{3}.\text{24636363}...\] is:
  A)
  an integer done clear
  B)
  a rational number done clear
  C)
  an irrational number done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer85)

  Which of the following rational numbers have terminating decimal?

  (i) \[\frac{16}{50}\]

  (ii) \[\frac{5}{18}\]

  (iii) \[\frac{2}{21}\]

  (iv) \[\frac{7}{250}\]

  A)
  (i) and (ii) done clear
  B)
  (ii) and (iii) done clear
  C)
  (i) and (iii) done clear
  D)
  (i) and (iv) done clear
  View Solution play_arrow

• question_answer86)
  If \[\frac{p}{q}\] is a rational number \[(q\ne 0)\] and \[HCF\,\,(p,q)=1,\]then what will be the condition on q so that the decimal form of \[\frac{p}{q}\] is terminating?
  A)
  \[q={{2}^{m}}\times {{5}^{n}}\] done clear
  B)
  \[q={{2}^{m}}\times {{3}^{n}}\] done clear
  C)
  \[q={{3}^{m}}\times {{5}^{n}}\] done clear
  D)
  \[None\,\, of\,\, these\] done clear
  View Solution play_arrow

• question_answer87)
  The decimal expansion of the number \[\frac{14753}{1250}\] terminate after:
  A)
  one decimal place done clear
  B)
  two decimal places done clear
  C)
  three decimal places done clear
  D)
  four decimal places done clear
  View Solution play_arrow

• question_answer88)
  Find the decimal expansion of the rational number \[\frac{31}{125}.\]
  A)
  \[\text{3}.\text{5}0\text{8}\] done clear
  B)
  \[\text{2}.\text{248}\]      done clear
  C)
  \[\text{5}.\text{69}\] done clear
  D)
  \[0.\text{248}\] done clear
  View Solution play_arrow

• question_answer89)
  Which of the following is a rational number?
  A)
  \[\sqrt{2}\] done clear
  B)
  \[\pi \] done clear
  C)
  \[\frac{1}{3}\] done clear
  D)
  \[0.\text{12}0\text{1 2}00\text{1 2}000\text{1 2}0000....\] done clear
  View Solution play_arrow

• question_answer90)
  Which of the following is a rational number?
  A)
  Sum of \[2+\sqrt{3}\]and its inverse done clear
  B)
  Square root of 18 done clear
  C)
  Square root of \[7+4\sqrt{3}\] done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer91)
  What type of decimal form \[\frac{51}{1500}\] will have?
  A)
  Terminating done clear
  B)
  Non-terminating repeating done clear
  C)
  on-terminating non-repeating done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer92)
  What type of decimal form will the number \[\frac{368}{1050}\]show?
  A)
  Terminating done clear
  B)
  Non-terminating repeating done clear
  C)
  Non-terminating non-repeating done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer93)
                      If \[x=0.56125\]is written in the form \[\frac{p}{q},\] where p, q are coprimes and q is of the form \[{{2}^{n}}\times {{5}^{m}},\] then find the values of n and m.
  A)
  \[4,2\] done clear
  B)
  \[3,5\]          done clear
  C)
  \[5,5\] done clear
  D)
  \[2,3\] done clear
  View Solution play_arrow

• question_answer94)
  Which of the following rational numbers is expressible as a terminating decimal?
  A)
  \[\frac{124}{165}\] done clear
  B)
  \[\frac{131}{30}\] done clear
  C)
  \[\frac{2027}{625}\] done clear
  D)
  \[\frac{1625}{462}\] done clear
  View Solution play_arrow

• question_answer95)
  After how many digits will the decimal expansion of \[\frac{3}{8}\]come to an end?
  A)
  4 done clear
  B)
  3 done clear
  C)
  5 done clear
  D)
  2           done clear
  View Solution play_arrow

• question_answer96)
  The decimal expansion of \[\frac{13}{8}\] is:
  A)
  \[\text{1}.\text{625}\] done clear
  B)
  \[\text{1}.\text{25}\] done clear
  C)
  \[\text{1}.\text{675}\] done clear
  D)
  \[\text{1}.0\text{625}\]    done clear
  View Solution play_arrow

• question_answer97)
  The smallest number by which \[\sqrt{27}\] should be multiplied so as to get a rational number, is:
  A)
  \[\sqrt{27}\] done clear
  B)
  \[3\sqrt{3}\] done clear
  C)
  \[\sqrt{3}\] done clear
  D)
  3 done clear
  View Solution play_arrow

• question_answer98)
  Which of the following rational numbers is expressible as a non-terminating repeating decimal?
  A)
  \[\frac{1351}{1250}\] done clear
  B)
  \[\frac{2017}{250}\] done clear
  C)
  \[\frac{3219}{1800}\] done clear
  D)
  \[\frac{1723}{625}\] done clear
  View Solution play_arrow

• question_answer99)
  Which of the following rational numbers have non-terminating repeating decimal expansion?
  A)
  \[\frac{31}{2125}\] done clear
  B)
  \[\frac{17}{512}\] done clear
  C)
  \[\frac{23}{200}\] done clear
  D)
  \[None\,\, of\,\, these\] done clear
  View Solution play_arrow

• question_answer100)
  \[19.\overline{123456}\] is:
  A)
  a rational number done clear
  B)
  an irrational number done clear
  C)
  a composite number done clear
  D)
  a prime number done clear
  View Solution play_arrow

• question_answer101)
  The decimal expansion of the rational number \[\frac{14587}{1250}\]will terminate after:                     (Ncert exemplar)
  A)
  one decimal place done clear
  B)
  two decimal places done clear
  C)
  three decimal places done clear
  D)
  four decimal places done clear
  View Solution play_arrow

• question_answer102)
  The decimal expansion of \[\frac{17}{8}\] will terminate after how many places of decimals?                  (CBSE 2011)
  A)
  1 done clear
  B)
  2 done clear
  C)
  3 done clear
  D)
  will not terminate done clear
  View Solution play_arrow

• question_answer103)
  From the following, the rational number whose decimal expansion is terminating is:               (CBSE 2011)
  A)
  \[\frac{2}{15}\] done clear
  B)
  \[\frac{11}{160}\] done clear
  C)
  \[\frac{17}{60}\] done clear
  D)
  \[\frac{6}{35}\] done clear
  View Solution play_arrow

• question_answer104)
  The decimal expansion of \[\pi \] is:                                                            (CBSE 2011)
  A)
  terminating done clear
  B)
  non-terminating and non-recurring done clear
  C)
  non-terminating and recurring done clear
  D)
  doesn't exist done clear
  View Solution play_arrow

• question_answer105)
  Which of the following rational numbers have a terminating decimal expansion?            (CBSE 20I2)
  A)
  \[\frac{125}{441}\] done clear
  B)
  \[\frac{77}{210}\] done clear
  C)
  \[\frac{15}{1600}\] done clear
  D)
  \[\frac{129}{{{2}^{2}}\times {{5}^{2}}\times {{7}^{2}}}\] done clear
  View Solution play_arrow

• question_answer106)
  The decimal expansion of number \[\frac{441}{{{2}^{2}}\times {{5}^{3}}\times 7}\] has:            (CBSE 2012)
  A)
  a terminating decimal done clear
  B)
  non-terminating but repeating done clear
  C)
  non-terminating non repeating done clear
  D)
  terminating after two places of decimal   done clear
  View Solution play_arrow

• question_answer107)
  The decimal expansion of the rational number \[\frac{33}{{{2}^{2}}\cdot 5}\]will terminate after:  (NCERT EXEMPLAR)
  A)
  one decimal place done clear
  B)
  two decimal places done clear
  C)
  three decimal places done clear
  D)
  more than 3 decimal places done clear
  View Solution play_arrow

• question_answer108)

  Which of the following rational number has terminating decimal expansion?

  (i) \[\frac{26}{225}\]

  (ii) \[\frac{5}{8}\]

  (iii) \[\frac{2}{21}\]

  (iv) \[\frac{7}{250}\]

  A)
  (i) and (ii) done clear
  B)
  (ii) and (iii) done clear
  C)
  (i) and (iii) done clear
  D)
  (i) and (iv) done clear
  View Solution play_arrow

• question_answer109)
  The decimal expansion of \[\frac{23}{{{2}^{5}}\times {{5}^{2}}}\] will terminate after how many places of decimal? (CBSE 2020)
  A)
  2 done clear
  B)
  4 done clear
  C)
  5 done clear
  D)
  1 done clear
  View Solution play_arrow

• question_answer110)
  Which of the following rational number 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
  View Solution play_arrow

• question_answer111)
  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
  View Solution play_arrow

• question_answer112)
  Which of the following will have a terminating decimal expansion?
  A)
  \[\frac{77}{210}\] done clear
  B)
  \[\frac{23}{30}\] done clear
  C)
  \[\frac{125}{441}\] done clear
  D)
  \[\frac{23}{8}\] done clear
  View Solution play_arrow