9th Class Mathematics Related to Competitive Exam Question Bank

done Arithmetic Total Questions - 85

• question_answer1)
  If \[{{3}^{n}}=27\], then \[{{3}^{n-2}}\] is
  A)
   3                                               done clear
  B)
   \[\frac{1}{3}\] done clear
  C)
   \[\frac{1}{9}\]                  done clear
  D)
          9 done clear
  View Solution play_arrow

• question_answer2)
  If  \[a={{b}^{x}}\], \[b={{c}^{y}}\], \[c={{a}^{z}}\], then xyz is
  A)
   - 1                                          done clear
  B)
   0 done clear
  C)
   1                                               done clear
  D)
   \[abc\] done clear
  View Solution play_arrow

• question_answer3)
  If \[p={{x}^{\frac{1}{3}}}+{{x}^{\frac{1}{3}}}\] , then \[{{p}^{3}}-3p\] is equal to
  A)
   3                             done clear
  B)
          \[\frac{1}{2}(x+{{x}^{-1}})\] done clear
  C)
   \[x+{{x}^{-1}}\]                done clear
  D)
          \[2(x+{{x}^{-1}})\] done clear
  View Solution play_arrow

• question_answer4)
  The counting numbers 1, 2, 3, 4, ... are called
  A)
   whole numbers               done clear
  B)
   natural numbers   done clear
  C)
   integers              done clear
  D)
   None of these done clear
  View Solution play_arrow

• question_answer5)
  The smallest natural number is
  A)
   0                                             done clear
  B)
   1   done clear
  C)
   2                             done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer6)
  The smallest whole number is
  A)
   0                               done clear
  B)
          1 done clear
  C)
   2                             done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer7)
  Choose the wrong statement:
  A)
   There is no largest natural number. done clear
  B)
   There is no largest whole number. done clear
  C)
   Every natural number is a whole number. done clear
  D)
   All natural numbers together with zero are called integers.   done clear
  View Solution play_arrow

• question_answer8)
  An integer which is divisible by 2 is called a/an
  A)
   even number       done clear
  B)
          odd number done clear
  C)
   prime number    done clear
  D)
          composite number done clear
  View Solution play_arrow

• question_answer9)
  Which one of the following is a rational number?
  A)
   \[{{(\sqrt{2})}^{2}}\]                                        done clear
  B)
   \[2\sqrt{2}\] done clear
  C)
   \[2+\sqrt{2}\]                   done clear
  D)
          \[\frac{\sqrt{2}}{2}\] done clear
  View Solution play_arrow

• question_answer10)
  Rational number \[\frac{-18}{5}\] lies between consecutive integers
  A)
  -2 and -3                              done clear
  B)
   -3 and -4   done clear
  C)
   - 4 and - 5       done clear
  D)
          - 5 and ? 6 done clear
  View Solution play_arrow

• question_answer11)
  \[1+\frac{1}{1+\frac{1}{1+\frac{1}{3}}}\]is equal to
  A)
   \[\frac{1}{3}\]                                   done clear
  B)
   1 done clear
  C)
   \[\frac{11}{7}\]                                  done clear
  D)
          \[1\frac{1}{3}\] done clear
  View Solution play_arrow

• question_answer12)
  The divisor when the quotient, divident and the remainder are respectively 547, 171282 and 71 is equal to
  A)
   333                        done clear
  B)
          323 done clear
  C)
   313                          done clear
  D)
          303 done clear
  View Solution play_arrow

• question_answer13)
  The value of \[\sqrt{900}+\sqrt{0.09}-\sqrt{0.000009}\] is
  A)
   30.297                    done clear
  B)
   30.197 done clear
  C)
   30.097            done clear
  D)
          30.397 done clear
  View Solution play_arrow

• question_answer14)
  An integer which is not divisible by 2 is called a/an
  A)
   even number     done clear
  B)
          odd number   done clear
  C)
   prime number    done clear
  D)
          composite number done clear
  View Solution play_arrow

• question_answer15)
  Which of the following is not a prime number?
  A)
   2                             done clear
  B)
          3 done clear
  C)
   4                               done clear
  D)
          5 done clear
  View Solution play_arrow

• question_answer16)
  Which of the following is not a prime number?
  A)
   5                             done clear
  B)
          7 done clear
  C)
   8                                               done clear
  D)
   11 done clear
  View Solution play_arrow

• question_answer17)
  The only prime number which is even is
  A)
   2                                               done clear
  B)
   4 done clear
  C)
   6                             done clear
  D)
          none of these done clear
  View Solution play_arrow

• question_answer18)
  The greatest integer that divides 358, 376, 334 leaving the same remainder in each case is
  A)
   6                               done clear
  B)
          7 done clear
  C)
   8                             done clear
  D)
          9 done clear
  View Solution play_arrow

• question_answer19)
  The units digit of every prime number (other than 2 and 5) must be necessarily
  A)
   1, 3 or 5               done clear
  B)
   1, 3, 7 or 9   done clear
  C)
   7 or 9                    done clear
  D)
          1 or 7 done clear
  View Solution play_arrow

• question_answer20)
  If the number \[243\times 51\]is divisible by 9, then the value of digit marked as x would be
  A)
   3                               done clear
  B)
          1 done clear
  C)
   2                                             done clear
  D)
   4 done clear
  View Solution play_arrow

• question_answer21)
  The least number which when divided by 2, 3,4,5 and 6 leaves the remainder 1 m each case If the same number is divided by 7 it leaves n remainder. The number is
  A)
   231                        done clear
  B)
          301   done clear
  C)
   371                        done clear
  D)
          441 done clear
  View Solution play_arrow

• question_answer22)
  The value of \[{{\log }_{b}}{{a}^{2}}.{{\log }_{c}}{{b}^{2}}.{{\log }_{a}}{{c}^{2}}\] is
  A)
   1                                             done clear
  B)
   4 done clear
  C)
   6                             done clear
  D)
          8   done clear
  View Solution play_arrow

• question_answer23)
  Which of the following is not a composite number?
  A)
   4                             done clear
  B)
          6 done clear
  C)
   7                               done clear
  D)
          8 done clear
  View Solution play_arrow

• question_answer24)
  A quantity which expresses a part of the whole is called a/an
  A)
   fraction            done clear
  B)
          prime number done clear
  C)
   integer                done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer25)
  Choose the fraction which is equivalent to \[\frac{15}{20}\]
  A)
   \[\frac{12}{15}\]                                              done clear
  B)
   \[\frac{51}{12}\] done clear
  C)
   \[\frac{4}{3}\]                   done clear
  D)
          \[\frac{12}{16}\]    done clear
  View Solution play_arrow

• question_answer26)
  Which of the following is not a proper fraction?
  A)
   \[\frac{2}{3}\]                                   done clear
  B)
   \[\frac{3}{4}\]                done clear
  C)
   \[\frac{5}{7}\]                   done clear
  D)
          \[\frac{6}{5}\]                      done clear
  View Solution play_arrow

• question_answer27)
  Which of the following is not an improper fraction?
  A)
    1                            done clear
  B)
          \[\frac{3}{2}\] done clear
  C)
   \[\frac{5}{3}\]                   done clear
  D)
          \[\frac{7}{11}\]   done clear
  View Solution play_arrow

• question_answer28)
  How many rational numbers exist between any two distinct rational numbers?
  A)
   2 done clear
  B)
   3 done clear
  C)
   11 done clear
  D)
   Infinite number of rational numbers   done clear
  View Solution play_arrow

• question_answer29)
  The number of composite number between 101 and 120 are
  A)
   11                          done clear
  B)
          12 done clear
  C)
   13                                          done clear
  D)
   14   done clear
  View Solution play_arrow

• question_answer30)
  If the number \[\text{12 }\times \text{ 453}\] is divisible by 9, then the digit at the place of x will be
  A)
   1                                             done clear
  B)
   2 done clear
  C)
   3                               done clear
  D)
          4 done clear
  View Solution play_arrow

• question_answer31)
  Choose the rational number which does not lie between rational numbers \[\frac{3}{5}\] and \[\frac{2}{3}\]
  A)
   \[\frac{46}{75}\]                                              done clear
  B)
   \[\frac{47}{75}\] done clear
  C)
   \[\frac{49}{75}\]                              done clear
  D)
          \[\frac{50}{75}\]   done clear
  View Solution play_arrow

• question_answer32)
  Choose the rational number which does not lie between rational numbers\[-\frac{2}{5}\] and \[-\frac{1}{5}\]
  A)
   \[-\frac{1}{4}\]                 done clear
  B)
          \[-\frac{3}{10}\] done clear
  C)
   \[\frac{3}{10}\]                  done clear
  D)
          \[-\frac{7}{20}\] done clear
  View Solution play_arrow

• question_answer33)
  \[1.\overline{3}\] is equal to
  A)
   \[\frac{3}{4}\]                   done clear
  B)
          \[\frac{2}{3}\] done clear
  C)
   \[\frac{4}{3}\]                     done clear
  D)
          \[\frac{2}{5}\] done clear
  View Solution play_arrow

• question_answer34)
  \[0.\overline{\text{585}}\]is equal to
  A)
  \[\frac{589}{99}\]                                             done clear
  B)
   \[\frac{585}{999}\]   done clear
  C)
   \[\frac{999}{585}\]                         done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer35)
  \[\text{5}.\overline{\text{2}}\]is equal to
  A)
   \[\frac{45}{9}\]                                done clear
  B)
   \[\frac{7}{11}\] done clear
  C)
   \[\frac{47}{9}\]                                  done clear
  D)
   None of these done clear
  View Solution play_arrow

• question_answer36)
  \[0.\overline{\text{127}}\]is equal to
  A)
   \[\frac{45}{9}\]                  done clear
  B)
          \[\frac{46}{9}\] done clear
  C)
   \[\frac{2}{55}\]                done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer37)
  0.05 is equal to
  A)
   \[\frac{3}{99}\]                                done clear
  B)
   \[\frac{4}{99}\] done clear
  C)
   \[\frac{5}{99}\]                  done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer38)
  \[\text{3}.\overline{\text{25}}\]is equal to
  A)
   \[\frac{320}{99}\]                                            done clear
  B)
   \[\frac{321}{99}\] done clear
  C)
   \[\frac{322}{99}\]                              done clear
  D)
          \[\frac{323}{99}\] done clear
  View Solution play_arrow

• question_answer39)
  The successor of lowest positive integer is
  A)
   1                                             done clear
  B)
   2   done clear
  C)
   3                             done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer40)
  Which of the following numbers is different from others?
  A)
   \[\sqrt{2}\]                        done clear
  B)
          \[\sqrt{3}\] done clear
  C)
   \[\sqrt{4}\]                                        done clear
  D)
   \[\sqrt{5}\] done clear
  View Solution play_arrow

• question_answer41)
  Which of the following numbers is different from others?
  A)
   \[\sqrt{7}\]                        done clear
  B)
          \[\sqrt{8}\] done clear
  C)
  \[\sqrt{13}\]                       done clear
  D)
          \[\sqrt{16}\]   done clear
  View Solution play_arrow

• question_answer42)
  Which of the following is smallest?
  A)
   \[\sqrt[4]{5}\]                  done clear
  B)
          \[\sqrt[5]{5}\]   done clear
  C)
   \[\sqrt{4}\]                        done clear
  D)
          \[\sqrt{3}\] done clear
  View Solution play_arrow

• question_answer43)
  The product of \[4\sqrt{6}\] and \[3\sqrt{24}\] is
  A)
   124                                        done clear
  B)
   134 done clear
  C)
   144                          done clear
  D)
          154 done clear
  View Solution play_arrow

• question_answer44)
  The value of \[4\times 100+3\times \frac{9}{100}\]is
  A)
   430.09           done clear
  B)
          430.0009 done clear
  C)
   430.009            done clear
  D)
          430.900 done clear
  View Solution play_arrow

• question_answer45)
  Which one of the following statements is correct?
  A)
   There can be a real number which is both rational and irrational. done clear
  B)
   The sum of two irrational numbers is always irrational. done clear
  C)
   For any real numbers x and y, \[x<y={{x}^{2}}<{{y}^{2}}\] done clear
  D)
   Every integer is a rational number.   done clear
  View Solution play_arrow

• question_answer46)
  The least number which is a perfect square and has 540 as a factor is
  A)
   8,100                      done clear
  B)
          6,400 done clear
  C)
   4,900                    done clear
  D)
          3,600 done clear
  View Solution play_arrow

• question_answer47)
  The set of natural numbers is closed under the binary operations of
  A)
   addition, subtraction, multiplication and division. done clear
  B)
   addition, subtraction, multiplication but not division. done clear
  C)
   addition and multiplication but not subtraction and division.   done clear
  D)
   addition and subtraction but not multiplication and division. done clear
  View Solution play_arrow

• question_answer48)
  If \[\frac{100\sqrt{25}}{\sqrt{25}+x}=50\], then the value of \[x\] is
  A)
   25                          done clear
  B)
          \[\frac{1}{\sqrt{25}}\]   done clear
  C)
   \[\sqrt{25}\]                        done clear
  D)
   \[\frac{1}{25}\] done clear
  View Solution play_arrow

• question_answer49)
  If D be subset of the set of all rational numbers, which can be expressed as terminating decimals, then D is closed under the binary operations of
  A)
   addition, subtraction and division. done clear
  B)
   addition, multiplication and division. done clear
  C)
   addition, subtraction and multiplication. done clear
  D)
   subtraction, multiplication and division. done clear
  E)
  None of these   done clear
  View Solution play_arrow

• question_answer50)
  The simplest rationalising factor of \[3\sqrt{75}\] is
  A)
   \[\sqrt{3}\]                          done clear
  B)
          \[\sqrt{5}\] done clear
  C)
   5                             done clear
  D)
          3 done clear
  View Solution play_arrow

• question_answer51)
  The rationalising factor of \[(a+\sqrt{b})\]is
  A)
   \[a-\sqrt{b}\]                      done clear
  B)
          \[\sqrt{a}-b\] done clear
  C)
   \[\sqrt{a}-\sqrt{b}\]      done clear
  D)
          None of these done clear
  View Solution play_arrow

• question_answer52)
  The simplest rationalising factor of \[\sqrt[4]{48}\]  is
  A)
   \[\sqrt[4]{9}\]                                  done clear
  B)
   \[\sqrt[4]{27}\]   done clear
  C)
   \[\sqrt[3]{9}\]                  done clear
  D)
          None of those done clear
  View Solution play_arrow

• question_answer53)
  The total number of prime numbers between 120 and 140 is
  A)
   7                             done clear
  B)
          6 done clear
  C)
   5                             done clear
  D)
          4   done clear
  View Solution play_arrow

• question_answer54)
  Consider the following statements : The number 12,375 is

  \[\text{I}\]divisible by 3

  \[\text{II}\]divisible by 11

  \[\text{III}\]divisible by 9

  Of these statements :
  A)
   \[\text{I}\], \[\text{II}\] and \[\text{III}\] are correct.   done clear
  B)
   \[\text{I}\] and \[\text{II}\] are correct. done clear
  C)
   \[\text{II}\] and \[\text{III}\] are correct. done clear
  D)
   \[\text{I}\] and \[\text{III}\] are correct. done clear
  View Solution play_arrow

• question_answer55)
  The correct least number when divided by 12, 16 and 18 leaves in each case a remainder 5, is
  A)
   149                          done clear
  B)
          293 done clear
  C)
   337                        done clear
  D)
          481 done clear
  View Solution play_arrow

• question_answer56)
  The value of \[|3-10|\] is
  A)
   7                               done clear
  B)
          -7 done clear
  C)
   3+10                     done clear
  D)
          3 ? 10 done clear
  View Solution play_arrow

• question_answer57)
  The distance between - 9 and 0 is
  A)
   0                             done clear
  B)
          9   done clear
  C)
   8                             done clear
  D)
          ? 9 done clear
  View Solution play_arrow

• question_answer58)
  The decimal equivalent of \[\frac{5}{16}\]is
  A)
   0.3                                         done clear
  B)
   0.31 done clear
  C)
   0.312                    done clear
  D)
          0.3125   done clear
  View Solution play_arrow

• question_answer59)
  In a party, the ratio of men to women is 5 : 3 and there are 85 men. How many women must be present in the party?
  A)
   37                          done clear
  B)
          39 done clear
  C)
   41                          done clear
  D)
          51   done clear
  View Solution play_arrow

• question_answer60)
  On a map, 1 inch represents 150 km. what is the actual distance between the two cities, if they are 4 % inches apart?
  A)
   225                                        done clear
  B)
   300 done clear
  C)
   525                        done clear
  D)
          675   done clear
  View Solution play_arrow

• question_answer61)
  If 5 workers can build a fence in 65 days, how long would it take 13 workers to build the same fence?
  A)
   15 days                done clear
  B)
   20 days done clear
  C)
   25 days            done clear
  D)
          35 days done clear
  View Solution play_arrow

• question_answer62)
  If a sprinter takes 40 steps in 11 seconds. How many steps does he take in 55 seconds?
  A)
   173                        done clear
  B)
          180 done clear
  C)
   190                                        done clear
  D)
   200   done clear
  View Solution play_arrow

• question_answer63)
  the ratio of men to women in an office is 7 to 5. Which of the following could not be the number of employees in the office?
  A)
   24                                          done clear
  B)
   30   done clear
  C)
   36                          done clear
  D)
          48 done clear
  View Solution play_arrow

• question_answer64)
  If \[\sqrt{3}:(1+\sqrt{2})::\sqrt{6}:x\], then x is equal to
  A)
   \[\sqrt{3}+1\]   done clear
  B)
                                          \[\sqrt{2}-1\] done clear
  C)
   \[\sqrt{2}-2\]                    done clear
  D)
          \[\sqrt{2}+2\]   done clear
  View Solution play_arrow

• question_answer65)
  A box contains coins of 50 paise, 1 rupee an 2 rupees. For 240 coins in the box, the ratio of 50 paise to 1 rupee to 2 rupees is 8 : 17 : 15. How many 1 rupee coins are there in the box?
  A)
   48                                          done clear
  B)
   90 done clear
  C)
   102                          done clear
  D)
          108 done clear
  View Solution play_arrow

• question_answer66)
  In the diagram, b : a == 2 : 7. What is a - b?
  A)
   20              done clear
  B)
   40             done clear
  C)
   100             done clear
  D)
   140       done clear
  View Solution play_arrow

• question_answer67)
  The population of a bacteria culture doubles in number every 12 minutes. The ratio of the number of bacteria at the end of 1 hour to the number of bacteria at the; beginning of that hour is
  A)
   8 : 1                       done clear
  B)
          16 : 1 done clear
  C)
   32 : 1                       done clear
  D)
          60 : 1 done clear
  View Solution play_arrow

• question_answer68)
  If \[{{8}^{r}}={{4}^{t}}\], then the ratio of r to t is
  A)
   2: 3                          done clear
  B)
          3:2 done clear
  C)
   4:3                                         done clear
  D)
   3:4 done clear
  View Solution play_arrow

• question_answer69)
  A turtle moves i inches in W minutes. At the rate, how many feet can it move in h hour?
  A)
   \[\frac{5hi}{m}\]                               done clear
  B)
          \[\frac{60hi}{m}\] done clear
  C)
   \[\frac{hi}{12m}\]           done clear
  D)
          \[\frac{5m}{hi}\] done clear
  View Solution play_arrow

• question_answer70)
  If\[\frac{a}{3}=\frac{b}{4}=\frac{c}{7}\], then \[\frac{a+b+c}{c}=\]?
  A)
   \[\frac{1}{7}\]          done clear
  B)
                                          \[\frac{1}{2}\] done clear
  C)
   1                             done clear
  D)
          2   done clear
  View Solution play_arrow

• question_answer71)
  Ten pipes of the same type can fill up a tank in 16 minutes. If two pipes go out of order, how long will the remaining pipes take to fill the tank?
  A)
   18 mins          done clear
  B)
          20 mins   done clear
  C)
   22 mins          done clear
  D)
          24 mins done clear
  View Solution play_arrow

• question_answer72)
  If 20 people can build a wall in 7 days, then the number of persons required to complete the work in 35 days is
  A)
   4                               done clear
  B)
          8 done clear
  C)
   12                          done clear
  D)
          20 done clear
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• question_answer73)
  Rs.3960 are divided among A, B and C such that half of as part, one-third of B's part and one-sixth of C's part are equal. Then B's part is
  A)
   1200                      done clear
  B)
          1000 done clear
  C)
   1080                        done clear
  D)
          900 done clear
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• question_answer74)
  The ratio of number of boys and girls in a school of 720 students is 7:5. How many more girls should be admitted to make the ratio 1:1?
  A)
   100                        done clear
  B)
          120   done clear
  C)
   80                          done clear
  D)
          150 done clear
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• question_answer75)
  5 men can build a wall 108 m long in 6 days, what is the length of similar wall that can be built by 25 men in 3 days?
  A)
   75 done clear
  B)
                                          80 done clear
  C)
   85                          done clear
  D)
          90   done clear
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• question_answer76)
  3 persons weave 168 shawls in 14 days, how many shawls will 8 persons weave in 5 days?
  A)
   90                          done clear
  B)
          105 done clear
  C)
   115                        done clear
  D)
          160   done clear
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• question_answer77)
  15 labourers can fill 35 boxes in 7 days. How many labourers can fill 65 boxes in 5 days?
  A)
   13                          done clear
  B)
          39   done clear
  C)
   45                          done clear
  D)
          55 done clear
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• question_answer78)
  What is the distance travelled at the speed of 30 km/hr for \[2\frac{1}{2}\] hours.
  A)
   75 km                     done clear
  B)
          70 km done clear
  C)
   65 km                                   done clear
  D)
   60 km done clear
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• question_answer79)
  Calculate the time required to cover 90 km at the speed of 30 km/hr.?
  A)
   1 hr.                      done clear
  B)
          3 hr.   done clear
  C)
   \[\frac{1}{3}\] hr.                            done clear
  D)
          30 hr. done clear
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• question_answer80)
  For a man covering a certain distance at 6 km/hr and returning at 4 km/hr. The average speed of the man is
  A)
   1.2 km/hr        done clear
  B)
          2.4 km/hr done clear
  C)
   3.6 km/hr        done clear
  D)
          4.8 km/hr   done clear
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• question_answer81)
  If two cars are moving towards North with the speeds 40 km/hr and 25 km/hr respectively, then their relative speed will be
  A)
   5 km/hr               done clear
  B)
          15 km/hr   done clear
  C)
   25 km/hr        done clear
  D)
          35 km/hr done clear
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• question_answer82)
  If two buses are moving in the opposite directions, their speed having 35 km/hr and 30 km/hr respectively, find their relative speed?
  A)
   5 km/hr          done clear
  B)
          15 km/hr done clear
  C)
   25 km/hr         done clear
  D)
          65 km/hr   done clear
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• question_answer83)
  A man leaves a town at 8 a.m. on his bicycle moving at 10 km/hr. Another man leaves the same town at 9 a.m. on his scooter moving at 30 km/hr .At what time does he overtake the man on the bicycle?
  A)
   8. 30 a.m.            done clear
  B)
   9 a.m. done clear
  C)
   9. 30 a.m.           done clear
  D)
          10 am done clear
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• question_answer84)
  If two cars A and B move towards each other, where car A starts at 9 a.m. and car B at 10 a.m. The speeds of the car A and B ar 40 km/hr and 50 km/hr respectively. What distance does car travel when the two cars meet, if the initial distance between A and B is 400 km?
  A)
   100 km          done clear
  B)
          200 km                 done clear
  C)
   300 km                 done clear
  D)
          400 km done clear
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• question_answer85)
  The ratio between the rates of walking of A and B is 2: 3. If the time taken by B to cover a distance is 24minutes, find the time taken by A to cover the same distance.
  A)
   12 minutes       done clear
  B)
          24 minutes done clear
  C)
   36 minutes         done clear
  D)
          48 minutes done clear
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