7th Class Mathematics Integers Question Bank

done Number System and Operations Total Questions - 40

• question_answer1)
  Which one among the following statements is not true?
  A)
  \[-16\div \left[ 4\div \left( -8 \right) \right]=32\] done clear
  B)
  \[-75\div 15\] is not equal to \[15\div -75\] done clear
  C)
  -6 lies between-13 and-7 done clear
  D)
  \[-\text{ }13\text{ }x\text{ }\left( +\text{ }14 \right)\text{ }-\text{ }\left( -\text{ }182 \right)\] is equal to 0 done clear
  E)
  None of these done clear
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• question_answer2)
  If A is an operation such that for integers m and n, we get\[\mathbf{m}\text{ }\Delta \text{ }\mathbf{n}\text{ }=\text{ }\mathbf{m}\text{ }\mathbf{x}\text{ }\mathbf{m}\text{ }\mathbf{x}\text{ }\mathbf{m}+\mathbf{n}\text{ }\mathbf{x}\text{ }\mathbf{n}\text{ }\mathbf{x}\text{ }\mathbf{n}-\mathbf{3}\text{ }\mathbf{x}\text{ }\mathbf{m}\text{ }\mathbf{x}\text{ }\mathbf{n}\], then find\[\left( -\text{ }\mathbf{4} \right)\text{ }\Delta \text{ }\mathbf{5}\].
  A)
  - 111 done clear
  B)
  121 done clear
  C)
  131 done clear
  D)
  - 141 done clear
  E)
  None of these done clear
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• question_answer3)
  The next number in the pattern - 34, - 21, - 8, 5, _________ is
  A)
  17 done clear
  B)
  18 done clear
  C)
  19  done clear
  D)
  20 done clear
  E)
  None of these done clear
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• question_answer4)
  Which of the following does not represent an integer?
  A)
  \[0\text{ }\div \text{ }\left( -\text{ }4 \right)\] done clear
  B)
  \[-\text{ }35\text{ }\div \text{ }15\] done clear
  C)
  \[75\div \left( -25 \right)\] done clear
  D)
  \[105\div 7\] done clear
  E)
  None of these done clear
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• question_answer5)
  If \[\mathbf{m}\text{ }+\text{ }\mathbf{1}\] and \[\mathbf{n}\text{ }-\text{ }\mathbf{1}\] are integers then which of the following may not be an integer?
  A)
  \[\left( m+n \right)~\] done clear
  B)
  \[\left( m\text{ }+\text{ }5 \right)\text{ }-\text{ }\left( n\text{ }+\text{ }2 \right)\] done clear
  C)
  \[\left( m-3 \right)\,\,\div \,\,\left( n+4 \right)~\] done clear
  D)
  \[\left( m\text{ }+\text{ }2 \right)\times \left( n\text{ }-\text{ }3 \right)\] done clear
  E)
  None of these done clear
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• question_answer6)
  Which one among the following is not a correct statement?
  A)
  The multiplicative inverse of zero does not exist. done clear
  B)
  The product of a proper and improper fraction is always less than the improper fraction. done clear
  C)
  All rational numbers cannot be represented on the number line. done clear
  D)
  The sum of two proper fractions may be an improper fraction. done clear
  E)
  None of these done clear
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• question_answer7)
  The LCM and HCF of two numbers are 196 and 20 respectively. How many such pair(s) of numbers is possible?
  A)
  0   done clear
  B)
  1 done clear
  C)
  2  done clear
  D)
  3 done clear
  E)
  None of these done clear
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• question_answer8)
  Find the greatest four-digit number which when divided by 20, 30, 35 and 45 leaves remainder 12 in each case.
  A)
  8442 done clear
  B)
  8242 done clear
  C)
  8832  done clear
  D)
  9892 done clear
  E)
  None of these done clear
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• question_answer9)
  The product of two proper fractions is ________.
  A)
  not less than one done clear
  B)
  less than each of the two fractions done clear
  C)
  more than one done clear
  D)
  more than each of the two fractions done clear
  E)
  None of these done clear
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• question_answer10)
  If we multiply a fraction by its reciprocal and add the product to its additive inverse, we get the fraction\[\mathbf{2}\frac{\mathbf{1}}{\mathbf{11}}\]. Find the original fraction.
  A)
  \[-2\frac{1}{11}\] done clear
  B)
  \[-1\frac{1}{11}\] done clear
  C)
  \[1\frac{1}{11}\] done clear
  D)
  \[2\frac{1}{11}\] done clear
  E)
  None of these done clear
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• question_answer11)
  The smallest possible decimal up to four decimal places is_______.
  A)
  0.1000   done clear
  B)
  0.0001 done clear
  C)
  0.0010 done clear
  D)
  0.0100 done clear
  E)
  None of these done clear
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• question_answer12)
  The HCF and LCM of two numbers are 140 and 29400. If one of the numbers is 840, then find the other number.
  A)
  8100 done clear
  B)
  4700 done clear
  C)
  4850 done clear
  D)
  4900 done clear
  E)
  None of these done clear
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• question_answer13)
  The greatest number which can divide 251 and 284 by leaving remainders 13 and 12 respectively is _________
  A)
  18 done clear
  B)
  17 done clear
  C)
  34 done clear
  D)
  36 done clear
  E)
  None of these done clear
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• question_answer14)
  The descending order of \[\frac{\mathbf{11}}{\mathbf{13}}\mathbf{, }\frac{\mathbf{10}}{\mathbf{11}}\mathbf{, }\frac{\mathbf{12}}{\mathbf{17}}\mathbf{, }\frac{\mathbf{3}}{\mathbf{7}}\mathbf{, }\frac{\mathbf{4}}{\mathbf{5}}\]is __________
  A)
  \[\frac{12}{17}>\frac{11}{13}>\frac{4}{5}>\frac{3}{7}>\frac{10}{11}\] done clear
  B)
  \[\frac{12}{17}<\frac{11}{13}<\frac{4}{5}<\frac{3}{7}<\frac{10}{11}\] done clear
  C)
  \[\frac{10}{11}>\frac{11}{13}>\frac{4}{5}>\frac{12}{17}>\frac{3}{7}\] done clear
  D)
  \[\frac{10}{11}<\frac{11}{13}<\frac{4}{5}<\frac{12}{17}<\frac{3}{7}\] done clear
  E)
  None of these done clear
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• question_answer15)
  Which one of the following is the correct interpretation of expression 13 - 15?
  A)
  Start at 13 on the number line and move 15 on the right. done clear
  B)
  Start at 13 on the number line and move 15 on the left. done clear
  C)
  Start at 15 on the number line and move 13 on the right. done clear
  D)
  Start at 15 on the number line and move 13 on the left. done clear
  E)
  None of these done clear
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• question_answer16)
  34.678678678 is a/an
  A)
  integer done clear
  B)
  whole number done clear
  C)
  rational number  done clear
  D)
  irrational number done clear
  E)
  None of these done clear
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• question_answer17)
  Anil has \[\frac{\mathbf{2}}{\mathbf{3}}\] of a cake. He ate \[\frac{\mathbf{4}}{\mathbf{7}}\] of it. What part of the cake has he eaten?
  A)
  \[\frac{2}{7}\] done clear
  B)
   \[\frac{2}{21}\] done clear
  C)
  \[\frac{5}{21}\] done clear
  D)
  \[\frac{3}{5}\] done clear
  E)
  None of these done clear
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• question_answer18)
  The second least value of the fraction among \[\frac{\mathbf{17}}{\mathbf{19}}\mathbf{,}\,\frac{\mathbf{10}}{\mathbf{13}}\mathbf{,}\,\frac{\mathbf{13}}{\mathbf{15}}\mathbf{,}\,\frac{\mathbf{2}}{\mathbf{9}}\mathbf{,}\,\frac{\mathbf{3}}{\mathbf{8}}\] is _________
  A)
  \[\frac{3}{8}\] done clear
  B)
  \[\frac{10}{13}\] done clear
  C)
  \[\frac{13}{15}\] done clear
  D)
  \[\frac{2}{9}\] done clear
  E)
  None of these done clear
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• question_answer19)
  The value of    is_______
  A)
  \[1\frac{26}{43}\] done clear
  B)
  \[2\frac{26}{43}\] done clear
  C)
  \[1\frac{17}{37}\] done clear
  D)
  \[\frac{17}{37}\] done clear
  E)
  None of these done clear
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• question_answer20)
  The least number which when decreased by 19 is exactly divisible by 24, 26, 28 and 32 is _________
  A)
  4095  done clear
  B)
  8736 done clear
  C)
  8755  done clear
  D)
  4076 done clear
  E)
  None of these done clear
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• question_answer21)
  The smallest number by which 294 must be multiplied so that the product becomes a perfect square is _________           
  A)
  7    done clear
  B)
  2  done clear
  C)
  3 done clear
  D)
  6 done clear
  E)
  None of these done clear
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• question_answer22)
  The smallest number of four digits exactly divisible by 12, 16, 18 and 22 is
  A)
  3064 done clear
  B)
  3168  done clear
  C)
  1584 done clear
  D)
  144 done clear
  E)
  None of these done clear
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• question_answer23)
  Find the smallest number by which 2340 must be multiplied so that the product is a perfect cube.
  A)
  23350         done clear
  B)
  25350 done clear
  C)
  6580 done clear
  D)
  11780 done clear
  E)
  None of these done clear
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• question_answer24)
  The least perfect square exactly divisible by each of the numbers 3, 7, 9,12 and 15 is ________
  A)
  78400 done clear
  B)
  44100  done clear
  C)
  19600  done clear
  D)
  12600 done clear
  E)
  None of these done clear
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• question_answer25)
  The sum of two numbers is 40 and their product is 3680. The sum of their reciprocals is ________.
  A)
  \[\frac{2}{77}\] done clear
  B)
  \[\frac{2}{47}\]  done clear
  C)
  \[\frac{1}{84}\]   done clear
  D)
  \[\frac{1}{92}\] done clear
  E)
  None of these done clear
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• question_answer26)
  \[\sqrt{\mathbf{28}\frac{\mathbf{4}}{\mathbf{9}}}\mathbf{-}\sqrt{\mathbf{30}\frac{\mathbf{1}}{\mathbf{4}}}\] is equal to ____.
  A)
  \[\frac{1}{2}\] done clear
  B)
  \[\frac{-1}{6}\] done clear
  C)
  \[\frac{1}{6}\]  done clear
  D)
  \[\frac{1}{3}\] done clear
  E)
  None of these done clear
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• question_answer27)
  \[\mathbf{0}.\overline{\mathbf{3}}+\mathbf{0}.\overline{\mathbf{4}}\] is equal to __________.
  A)
  0.777  done clear
  B)
  0.7777_______ done clear
  C)
  \[\frac{7}{9}\] done clear
  D)
  both B and C done clear
  E)
  None of these done clear
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• question_answer28)
  The least number which when divided by 24, 28 and 32 leaves zero as its remainder, is ________     
  A)
  784 done clear
  B)
  568 done clear
  C)
  720   done clear
  D)
  672 done clear
  E)
  None of these done clear
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• question_answer29)
  Which one among the following is true?
  A)
  \[\sqrt{m}+\sqrt{n}=\sqrt{m+n}\] done clear
  B)
  \[\sqrt{(m+1)}+\sqrt{(n+1)}=\sqrt{(m+1)(n+1)}\] done clear
  C)
   \[\sqrt{m}-\sqrt{n}=\sqrt{m-n}\] done clear
  D)
  \[\frac{1}{\sqrt{m}+\sqrt{n}}=\sqrt{m}-\sqrt{n}\] done clear
  E)
  None of these done clear
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• question_answer30)
  \[\mathbf{3}.\overline{\mathbf{2}}\text{ }+\text{ }\mathbf{2}.\overline{\mathbf{3}}\text{ }+\text{ }\mathbf{5}.\overline{\mathbf{7}}\] =_________.
  A)
  11.323232..............   done clear
  B)
  11.333333.............. done clear
  C)
  10.323232    done clear
  D)
  11.3333 done clear
  E)
  None of these done clear
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• question_answer31)
  If \[\mathbf{m}\text{ }=\text{ }\left( -\text{ }\mathbf{28} \right)\text{ }+\text{ }\mathbf{26}\text{ }+\text{ }\left( -\text{ }\mathbf{28} \right)\text{ }+\text{ }\mathbf{26}\text{ }+\text{ }\_\_\_\_\] \[\left( \mathbf{40}\text{ }\mathbf{terms} \right)\text{ }\mathbf{and}\text{ }\mathbf{n}\text{ }=\text{ }\mathbf{39}\text{ }+\text{ }\left( -\text{ }\mathbf{35} \right)\text{ }+\text{ }\mathbf{39}\text{ }+\] \[\left( -\text{ }\mathbf{35} \right)\text{ }+\_\_\_\_\_\_\text{ }\left( \mathbf{40}\text{ }\mathbf{terms} \right)\] then m-n is equal to.
  A)
  -120    done clear
  B)
  40   done clear
  C)
  -40  done clear
  D)
  120 done clear
  E)
  None of these done clear
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• question_answer32)
  If A = \[{{\left( -\text{ }1 \right)}^{1}}+{{\left( -\text{ }1 \right)}^{2}}+{{\left( -\text{ }1 \right)}^{3}}+\_\_\_\_\_\_+{{\left( -\text{ }1 \right)}^{1001}}\] and B = \[{{\left( -\text{ }1 \right)}^{1}}-{{\left( -\text{ }1 \right)}^{2}}+{{\left( -\text{ }1 \right)}^{3}}-{{\left( -\text{ }1 \right)}^{4}}+\_\_\_\_\_\_+{{\left( -\text{ }1 \right)}^{1001}},\text{ }\] then find A - B.
  A)
  -1002 done clear
  B)
   1000 done clear
  C)
  -1001 done clear
  D)
   1001 done clear
  E)
  None of these done clear
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• question_answer33)
  The LCM of two numbers is 1800. Which of the following cannot be the HCF of two numbers?
  A)
  45 done clear
  B)
  225 done clear
  C)
  400 done clear
  D)
  200 done clear
  E)
  None of these done clear
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• question_answer34)
  Which among the following has the least value? \[\frac{\mathbf{36}}{\mathbf{0}\mathbf{.005}}\], \[\frac{\mathbf{0}\mathbf{.360}}{\mathbf{50}}\], \[\frac{\mathbf{3}\mathbf{.6}}{\mathbf{0}\mathbf{.05}}\], \[\frac{\mathbf{0}\mathbf{.36}}{\mathbf{500}}\]
  A)
  \[\frac{36}{0.005}\] done clear
  B)
  \[\frac{0.360}{50}\] done clear
  C)
  \[\frac{3.6}{0.05}\] done clear
  D)
  \[\frac{0.36}{500}\] done clear
  E)
  None of these done clear
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• question_answer35)
  How many \[\frac{\mathbf{3}}{\mathbf{5}}\] kg pieces can be cut from a cake of weight 6 kg?
  A)
  12 done clear
  B)
  10 done clear
  C)
  8    done clear
  D)
  9 done clear
  E)
  None of these done clear
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• question_answer36)
  Solve: \[\frac{\mathbf{1}}{\mathbf{3}\frac{\mathbf{4}}{\mathbf{5}}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{5}\frac{\mathbf{3}}{\mathbf{7}}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{3}\frac{\mathbf{9}}{\mathbf{16}}}\mathbf{-}\frac{\mathbf{1}}{\mathbf{5}\frac{\mathbf{5}}{\mathbf{18}}}\]
  A)
  \[\frac{303}{470}\] done clear
  B)
  \[\frac{307}{570}\] done clear
  C)
  \[\frac{209}{470}\] done clear
  D)
  \[\frac{323}{570}\] done clear
  E)
  None of these done clear
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• question_answer37)
  Taking today as zero on the number line, if the day before yesterday is 11 May, what is the date 2 days after day after tomorrow?
  A)
  17th May done clear
  B)
  16th May done clear
  C)
  18 th May done clear
  D)
  19th May done clear
  E)
  None of these done clear
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• question_answer38)
  Isha and Angelina participated in a hurdle race. The race was conducted in 7 parts. In the first part, Isha lost by 10 seconds. In the second part she won by \[\mathbf{1}\frac{\mathbf{1}}{\mathbf{2}}\] minutes. In the third part Angelina won by 25 seconds but she lost it by 15 seconds in fourth part and won it by 1 minute in fifth part. In the sixth part Isha won by 8 seconds and in the last part of the race, Angelina won it by 20 seconds. Who won the race finally and by how much time?
  A)
  Isha, by 2 seconds  done clear
  B)
  Angelina, by 3 seconds done clear
  C)
  Isha, by 3 seconds done clear
  D)
  Angelina, by 2 seconds done clear
  E)
  None of these done clear
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• question_answer39)
  A multistory building has 38 floors above the ground level each of height 7m. It also has 4 floors in the basement each of height 6m. A lift in building moves at a rate of 2m/sec. If a man starts from 170m above the ground, how long will it take him to reach at 3rd floor of basement?
  A)
  1 minute 34 seconds done clear
  B)
  1 minute 24 seconds done clear
  C)
  1 minute 38 seconds done clear
  D)
  1 minute 20 seconds done clear
  E)
  None of these done clear
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• question_answer40)
  In a test, + 4 marks are given for every correct answer and - 1 mark for every incorrect answer and 0 for not choosing any answer. If Yashika secured 110 marks in the test having 40 questions, then which one among the following can be a possibility of marking a correct or incorrect answer by her?
  A)
  28 correct, 2 incorrect done clear
  B)
  29 correct, 6 incorrect done clear
  C)
  30 correct, 10 incorrect done clear
  D)
  All the above done clear
  E)
  None of these done clear
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