7th Class Mathematics Integers Question Bank

done Integers Total Questions - 40

• question_answer1)
  What is the name given to the combined set of negative of natural numbers and whole numbers?
  A)
   Natural Number             done clear
  B)
   Integers done clear
  C)
   Positive Numbers     done clear
  D)
   The set of whole numbers done clear
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• question_answer2)
  Where are the negative numbers located on a horizontal number line?
  A)
   On the right of\[-1~~\]   done clear
  B)
   On the left of 0 done clear
  C)
   On the left of\[+1\]        done clear
  D)
   None of these done clear
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• question_answer3)
  Which of the following is the smallest positive integer?
  A)
   0                                 done clear
  B)
   0.1       done clear
  C)
   1             done clear
  D)
   \[-1\] done clear
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• question_answer4)
  There are two integers X and Y such that S and T are their additive inverse respectively, then |X| + |Y| + |S| + |T| is equal to
  A)
  \[|X|\]                          done clear
  B)
  \[|Y|+|S|\] done clear
  C)
   \[2|X|+\,\,2|Y|\]   done clear
  D)
  \[|X|+|Y|\] done clear
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• question_answer5)
  What is the representation of 10 km towards the west?
  A)
   10 km east                    done clear
  B)
   \[-\text{ }10\]km        done clear
  C)
   10 km              done clear
  D)
   10 done clear
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• question_answer6)
  The letter X represents which number?
  A)
   58                    done clear
  B)
   60-6        done clear
  C)
   62                                done clear
  D)
   97-20 done clear
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• question_answer7)
  Which of the following statement is correct?
  A)
   The sum of two negative integers is always a negative integer. done clear
  B)
   The difference between two negative integers is always a positive integer. done clear
  C)
   The difference between two positive integers is always a positive integer. done clear
  D)
   All of these done clear
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• question_answer8)
  The given number line shows the marks obtained by five students in a competitive exam. Some students even scored negative marks due to the system of negative marking in the test. How many marks did Ajay score over Ramesh?
  A)
   24                                done clear
  B)
   23     done clear
  C)
   18                                done clear
  D)
   None of these done clear
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• question_answer9)
  Which is the nature of the product of a negative integer by itself, odd number of times?
  A)
   Positive                        done clear
  B)
   Negative      done clear
  C)
   Non negative                 done clear
  D)
   None of these done clear
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• question_answer10)
  What is the nature of the product of a negative number by itself even number of times?
  A)
   Negative                       done clear
  B)
   0              done clear
  C)
   Positive           done clear
  D)
   None of these done clear
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• question_answer11)
  How is the withdrawal of Rs. 500 represented?
  A)
   Depositing Rs.500          done clear
  B)
   - Rs. 500    done clear
  C)
   Rs. 500            done clear
  D)
   - 500 done clear
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• question_answer12)
  What is the opposite of earning Rs. 50?
  A)
   + Rs. 50                       done clear
  B)
   Profit of Rs. 50 done clear
  C)
   Gain of Rs. 50               done clear
  D)
   Spending Rs. 50 done clear
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• question_answer13)
  In the product shown, A is a digit. The value of A is
  A)
   5                                 done clear
  B)
   7            done clear
  C)
   6                                 done clear
  D)
   8 done clear
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• question_answer14)
  In the sequence of numbers 5, 8,13, A, 34, 55, 89 the value of A is
  A)
   16                                done clear
  B)
   21        done clear
  C)
   18                                done clear
  D)
   None of these done clear
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• question_answer15)
  Match the following.

  	Column-P		Column-Q
  (i)	\[(132)\div (-6)\]	(a)	49
  (ii)	\[(-144)\div (+16)\]	(b)	8
  (iii)	\[(-\,32)\div (-\,4)\]	(c)	(-9)
  (iv)	\[(392)\div (8)\]	(d)	(-22)

   
  A)
   (I) - (b), (II) - (a), (III) - (c), (IV) - (d) done clear
  B)
   (I) - (a), (II) - (b), (III) - (d), (IV) - (c) done clear
  C)
   (I) - (d), (II) - (c), (III) - (b), (IV) - (a) done clear
  D)
   (I) - (c), (II) - (d), (III) - (a), (IV) - (b) done clear
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• question_answer16)
  Which one of the following is equivalent to the expression \[\left( {{5}^{6}} \right)\text{ }\left( {{10}^{3}} \right)?\]
  A)
   \[8\times {{5}^{9}}~~\]  done clear
  B)
   \[{{5}^{11}}~~\]          done clear
  C)
   \[80\times {{5}^{8}}~\]                      done clear
  D)
   \[{{5}^{10}}\] done clear
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• question_answer17)
  With respect to which of the following operations is closure property satisfied by the set of integers?
  A)
   \[+,\times ~\]                           done clear
  B)
   \[+,-,\times ,\div \] done clear
  C)
   \[+,\times ,-\]    done clear
  D)
   \[+,-,\div ~\] done clear
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• question_answer18)
  If the dividend and the divisor have like signs, what is the sign of the quotient?
  A)
   Positive            done clear
  B)
   Negative        done clear
  C)
   Zero                 done clear
  D)
   Indeterminate done clear
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• question_answer19)
  Which alternative correctly shows the associative property of integers under addition?
  A)
   \[\left\{ \left( -10 \right)\times 6 \right\}+3=(-10)+2\times 6+3\] done clear
  B)
   \[\left\{ \left( -9 \right)+6 \right\}+2=(-9)+\left\{ 6+2 \right\}\] done clear
  C)
   \[\left( -9 \right)\times 6=6\times (-9)\]            done clear
  D)
   All of these done clear
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• question_answer20)
  If the expression \[[(-\,43)\times 109]\] can also be written as\[[a\,+\,(-\,387)]\], then what is the value of a?
  A)
  \[-\,4500\]                      done clear
  B)
   \[-\,4300\] done clear
  C)
  \[-\,\,4587\]                    done clear
  D)
   \[-\,\,4200\] done clear
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• question_answer21)
  Polymers are known to contract and expand with a decreases and increase in temperature (respectively). With every \[{{5}^{o}}C\] decrease in temperature, the length of a polymeric rod decreases by 8mm, and with every \[{{5}^{o}}C\] increase in temperature, its length increases by 10 mm. A rod was taken at room temperature. Its temperature was first lowered to \[{{20}^{o}}C\] below room temperature and its length was noted down. Its temperature was then increased to \[{{15}^{o}}C\] above room temperature and its length was again noted down. What was the difference between the lengths of the rod that were noted down at the beginning and end of the experiment?
  A)
   17 mm                         done clear
  B)
   51 mm done clear
  C)
   52 mm      done clear
  D)
   2 mm done clear
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• question_answer22)
  What is the additive identity for the set of integers?
  A)
   0           done clear
  B)
   \[\left( -1 \right)~\] done clear
  C)
   1                                 done clear
  D)
   +101 done clear
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• question_answer23)
  If a negative sign precedes a bracket, what happens to the terms inside it?
  A)
   Their signs are changed. done clear
  B)
   The terms are reciprocated. done clear
  C)
   Both (a) & (b)                    done clear
  D)
   The terms are quadrupled. done clear
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• question_answer24)
  Which of the following orders of brackets is used while evaluating an expression?
  A)
   \[\left[ {} \right],\left( {} \right),\left\{ {} \right\}\]              done clear
  B)
   \[\left\{ {} \right\},\left( {} \right),\left[ {} \right]\] done clear
  C)
   \[\left( {} \right),\left\{ {} \right\},\left[ {} \right]\]          done clear
  D)
   \[\left( {} \right),\left[ {} \right],\left\{ {} \right\},\] done clear
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• question_answer25)
  What is the value of the expression \[10+[13-\{-2-6\,(6\,\,of\,-5)\}]\]
  A)
  \[-155\]  done clear
  B)
   170           done clear
  C)
   176                              done clear
  D)
   \[-\,175\] done clear
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• question_answer26)
  Over which of the following operations is multiplication distributed in the set of integers?
  A)
   \[-,\div \]                       done clear
  B)
   \[-,\times ,\div \]     done clear
  C)
   \[+,-\]             done clear
  D)
   \[\times ,\div ,+\] done clear
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• question_answer27)
  A man walked 2 km towards North then 7 km towards South. What is his final position with respect to his initial position?
  A)
   5 km towards East         done clear
  B)
   3 km towards South done clear
  C)
   8 km towards North        done clear
  D)
   5 km towards South done clear
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• question_answer28)
  In a class test, positive marks were given for correct answers and negative marks for incorrect answers. If scores in five successive rounds of a boy were 25, -6, 19, -3 and 26, what is his total score at the end?
  A)
   26                                done clear
  B)
   61     done clear
  C)
   51                                done clear
  D)
   \[-1\] done clear
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• question_answer29)
  The value of \[|9|+|6|-|-9|-|-4|+15\times 5,\] is,
  A)
   17                                done clear
  B)
   73              done clear
  C)
   77            done clear
  D)
   None of these done clear
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• question_answer30)
  A certain freezing process requires that room temperature be lowered from \[{{40}^{o}}C\] at the rate of \[{{5}^{o}}C\] every hour. What is the room temperature after 10 hours?
  A)
   \[-\,46{}^\circ C~\]                  done clear
  B)
   \[-18{}^\circ C\] done clear
  C)
   \[-10{}^\circ C\]           done clear
  D)
   \[-25{}^\circ C\] done clear
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• question_answer31)
  In a class test containing 10 questions, 3 marks are awarded for every correct answer and (-1) mark is awarded for every incorrect answer and 0 for the questions not attempted, Siddharth gets three correct and six incorrect answers out of nine questions he attempts. What is his total score?
  A)
   3                     done clear
  B)
   6            done clear
  C)
  \[-2\]                             done clear
  D)
   8 done clear
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• question_answer32)
  A man descends into an underground floor at the rate of 6 metres per minute. If the descent start from 10 metres above the ground level, how much time will it take to descend 230 metres below the ground?
  A)
   30 minutes        done clear
  B)
   50 minutes      done clear
  C)
   40 minutes         done clear
  D)
   1 hour 30 minutes done clear
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• question_answer33)
  Which of the following statements holds correct?
  A)
   \[N\subset W\subset Z\]   done clear
  B)
   \[Z\subset N\subset W\]   done clear
  C)
   \[W\subset N\subset Z\]               done clear
  D)
   \[Z\subset W\subset N\] done clear
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• question_answer34)
  The quotient of two numbers is \[\left( -15 \right)~\]. If one of the numbers is \[\left( -360 \right),~\]what is the other number?
  A)
   24          done clear
  B)
   15            done clear
  C)
  \[-40\]                            done clear
  D)
  \[-60\] done clear
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• question_answer35)
  Which of the following relations is correct?
  A)
   \[|-26|+\left\{ 3-|2| \right\}=\,|26|+\left\{ |-3|+|-2| \right\}\]   done clear
  B)
   \[\left( 15\div 3 \right)\times 4=15\div \left( 3\times 4 \right)\] done clear
  C)
   \[\left\{ \left( -20 \right)\div 10 \right\}\div 4=(-\,20)\div (10\div 4)\]   done clear
  D)
   \[\left\{ \left( 4\times 6 \right)\times 7-2 \right\}=\left\{ 6\times \left( 4\times 7 \right)-|-2| \right\}\] done clear
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• question_answer36)
  For what values of \[a\] and \[b\] does the expression, \[[12+(-\,5)]+a=b+[(-\,5)+(-\,8)]\] show the associative property of integers under addition?
  A)
   \[8\text{ }and\text{ 1}2\]                       done clear
  B)
   \[-\,8\text{ }and\text{ 1}2~\] done clear
  C)
   \[12\text{ }and\text{ }8\]                       done clear
  D)
   \[-12\text{ }and\text{ }8~\] done clear
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• question_answer37)
  Which of the following expression is equivalent to the expression\[-523\times 311+\left( -289 \right)\times 523~\]
  A)
   \[523\times 500~\]                     done clear
  B)
   \[-523\times 600\] done clear
  C)
   \[\left( -523 \right)\times 22\]                    done clear
  D)
   None of these done clear
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• question_answer38)
  Which of the following equations is correct?
  A)
   \[(-3)\times (-16)\times (-1)=-48\] done clear
  B)
   \[3\times 24\times (-1)=72\] done clear
  C)
   \[(-2)\times (-4)\times 9=-72\]             done clear
  D)
   \[(-2)\times (-6)\times (-9)=108\]  done clear
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• question_answer39)
                  Which of the following statements is correct?
  A)
   The product of 6 negative integers is a negative integer. done clear
  B)
   The product of 6 negative integers and 3 positive integers is negative. done clear
  C)
   The product of4 negative integers and 5 positive integers is positive. done clear
  D)
   The product of 2 negative integers and 2 positive integers in negative. done clear
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• question_answer40)
  The expression \[[(-101)\times (-19)]\] can be re-written as which of the following expression?
  A)
   \[2000-80-1\] done clear
  B)
   \[-2000-84~\] done clear
  C)
   \[2100+19~\]               done clear
  D)
   \[2100+19-1\] done clear
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