7th Class Mathematics Integers Question Bank

done Integer Total Questions - 30

• question_answer1)

  DIRECTION: The following number line shows the temperature in degree Celsius \[{{(}^{o}}C)\] at different places on 12 May 20XX.

  What is the temperature difference between Ooty and Chennai?
  A)
   \[{{20}^{o}}C\]                  done clear
  B)
   \[{{11}^{o}}C\]      done clear
  C)
   \[{{11}^{o}}C\]          done clear
  D)
          \[{{7}^{o}}C\]        done clear
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• question_answer2)

  DIRECTION: The following number line shows the temperature in degree Celsius \[{{(}^{o}}C)\] at different places on 12 May 20XX.

  The temperature difference between Gulmarg and Shimla is ______ the temperature difference between Shimla and Chennai?                          
  A)
   Less than                       done clear
  B)
   Equal to           done clear
  C)
                 Greater than     done clear
  D)
                     None of these                    done clear
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• question_answer3)
  Evaluate: \[\frac{(-16)\div [(-13)+(-3)]}{(-60)\div (-60)}\]
  A)
   2                     done clear
  B)
          \[-1\]               done clear
  C)
   1          done clear
  D)
          \[-2\]           done clear
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• question_answer4)
  Find P, Q, R and S.                     

  (i) The sum of two integers is 71. If one of them is \[-101,\]then other integer is P   .

  (ii) The product of an integer and Q is zero.

  (iii) R is the quotient when an integer is divided by itself.

  (iv) Additive inverse of -7 is S.

             
  A)

  P	Q	R	S
  172	0	1	7

                  done clear
  B)

  P	Q	R	S
  184	1	2	7

                  done clear
  C)

  P	Q	R	S
  172	1	1	7

                  done clear
  D)

  P	Q	R	S
  172	0	2	7

  done clear
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• question_answer5)
  Which of the following statements is INCORRECT?
  A)
   The multiplicative identity for integers is 1. done clear
  B)
   Subtraction does not obey commutative law in integers. done clear
  C)
   Multiplication of two integers with unlike signs is always positive. done clear
  D)
   Multiplicative inverse of integer a is \[\frac{1}{a}\]. done clear
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• question_answer6)
  Which of the following number sentences best describes the problem shown on the number line?
  A)
   \[-2+(-4)\]     done clear
  B)
   \[~-5+3\]       done clear
  C)
          \[5+(-3)\]       done clear
  D)
          \[-4+2\]                      done clear
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• question_answer7)
  The value of \[(-5)\times (-4)\times (-3)\times (-2)\times \]\[(-1)\times 0+0\times (1)\times (2)\times (3)\times (4)\times (5)\] is
  A)
   120                             done clear
  B)
   \[-120\]           done clear
  C)
          240                 done clear
  D)
          0 done clear
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• question_answer8)
  Which of the following statements is CORRECT?                          

  Statement 1: When a positive integer and a negative integer are added, we always get a negative integer.

  Statement 2: When two negative integers are added, we get a positive integer,

  A)
   Only Statement-1                   done clear
  B)
   Only Statement-2                  done clear
  C)
   Both Statement-1 and Statement-2   done clear
  D)
   Neither Statement-1 nor Statement-2 done clear
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• question_answer9)
  In a magic square each row, column and diagonal have the same sum, then the values  of A and B respectively are

  1	-10	0
  A	-3	-2
  -6	4	B

  A)
   \[-7,-4\]                       done clear
  B)
   \[-4,-7\]         done clear
  C)
                      \[-4,-6\]           done clear
  D)
          \[-6,-4\]                                   done clear
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• question_answer10)
  The value of                             \[[(-4)\times (-9)\times (-25)]\div [(-2)\times (-3)\times (-5)]\]is
  A)
   10                               done clear
  B)
   20                   done clear
  C)
          30                   done clear
  D)
          40             done clear
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• question_answer11)
  Which of the following statements is CORRECT?                         
  A)
   All natural numbers are whole numbers and all whole numbers are integers,   done clear
  B)
   All whole numbers are integers and all integers are natural numbers.        done clear
  C)
   All integers are whole numbers and all natural numbers are integers.         done clear
  D)
   All integers are whole numbers and all integers are natural numbers.        done clear
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• question_answer12)
  The value of X in \[-19\times (4+(-2))=-19\times 4+(-19)\times X,\]
  A)
   2                                 done clear
  B)
   \[-19\] done clear
  C)
          4                     done clear
  D)
          \[-2\]               done clear
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• question_answer13)
  What will be the sign of the product if we together multiply 199 negative integers and 10 positive integers?                    
  A)
   Negative      done clear
  B)
   Positive         done clear
  C)
                      Can't say           done clear
  D)
               Data is insufficient done clear
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• question_answer14)
  Simplify: \[222-\left[ \frac{1}{3}\{42+(56-(8+9))\}+108 \right]\].
  A)
   87                               done clear
  B)
   88                   done clear
  C)
          89                   done clear
  D)
          90 done clear
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• question_answer15)
  Which pair of numbers does not have a product equal to 36?
  A)
   \[\{-4,-9\}\]                 done clear
  B)
   \[\{-3,-12\}\]               done clear
  C)
   \[\{-1,-72\}\]     done clear
  D)
          \[\{1,36\}\] done clear
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• question_answer16)
  Which list of integers is in order from the least to the greatest?
  A)
   \[-42,-39,-4,\text{ }40,\text{ }41\] done clear
  B)
   \[-42.\text{ }41,\text{ }40,-39,-4\] done clear
  C)
   \[-4,-39,\text{ }40,\text{ }41,-42\] done clear
  D)
   \[41,\text{ }40,-4,-39,-42\] done clear
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• question_answer17)
  Which of the following number line represents\[-1-4\]?
  A)
    done clear
  B)
    done clear
  C)
    done clear
  D)
    done clear
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• question_answer18)
  Find the value of the given expression \[(-45)-(-39)+42-28-(-152)-85+(-9)\].
  A)
   \[-78\]                         done clear
  B)
   \[-32\] done clear
  C)
          \[-550\]           done clear
  D)
          \[66\]               done clear
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• question_answer19)
  The absolute value of \[-28+12+42-63\] is
  A)
   37                               done clear
  B)
   \[-36\] done clear
  C)
   145                 done clear
  D)
          \[-145\]           done clear
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• question_answer20)
  If a and b are integers and \[a\ne b,\] then which of the following is INCORRECT ?
  A)
   \[a+b=b+a\] done clear
  B)
   \[a-b=b-a\] done clear
  C)
   \[a+0=0+a=a\] done clear
  D)
   \[a-0=a\ne 0-a\] done clear
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• question_answer21)
  In a test, 4 marks are given for every correct answer and -2 marks, for every incorrect answer. Asha answered all the questions and scored 26 marks though she got nine correct answers. Varun also answered all the questions and scored 2 marks though he got five correct answers. How many questions did each answer incorrectly?
  A)
   10, 8                           done clear
  B)
   9, 18   done clear
  C)
          5, 9                 done clear
  D)
          4, 10               done clear
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• question_answer22)
  I note in my accounts book positive numbers for profits and negative numbers for losses that I make in my business. These are the entries in the book for the last seven days: \[21,-19,11,-20,17,25\]and\[-13\]. How much profit did I make in the last week?
  A)
   32                               done clear
  B)
   22                   done clear
  C)
   34                   done clear
  D)
          24 done clear
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• question_answer23)
  Maya goes 35 km east from a point A to point B. From B, she moves 30 km west along the same road. If the distance travelled in the west direction is represented by a negative integer, how will you represent the distance travelled east? By which integer will you represent her final position from A?
  A)
   Positive integer, 5 km done clear
  B)
   Negative integer, 3 km done clear
  C)
   Positive integer, 2 km done clear
  D)
   Negative integer, 8 km done clear
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• question_answer24)
  An elevator descends into a mine shaft at the rate of 8 m/min. If the descend starts from 12 m above the ground level; how7 long will it take to reach\[-468\text{ }m\]?
  A)
   60 mins           done clear
  B)
   30 mins           done clear
  C)
          50 mins       done clear
  D)
          10 mins                       done clear
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• question_answer25)
  At a shopping mall, the air conditioner is set so that it reduces temperature at the rate of \[{{4}^{o}}C\]every hour. If at 10 a.m. the temperature inside the mail was \[{{35}^{o}}C\] what will be the temperature inside the mail at 6 p.m.?
  A)
   \[{{4}^{o}}C\]                                done clear
  B)
   \[{{6}^{o}}C\]        done clear
  C)
          \[{{3}^{o}}C\]                    done clear
  D)
          \[{{7}^{o}}C\] done clear
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• question_answer26)
  Pooja makes a profit of Rs.9 for every large basket she sells and loses Rs. 4 on every small basket. She cannot make only large baskets as buyers require that she supplies baskets of both sizes.

  (i) If she gets an order to supply 7200 large baskets and 11,200 small baskets, what is the profit or loss she will be making from this order?

  (ii)  If in the next order she has to supply 8100 small baskets, how many large baskets does she need to make so that makes neither profit nor loss in this order?

             
  A)

  (i)	(ii)
  Loss of Rs. 20000	3000

                  done clear
  B)

  (i)	(ii)
  Profit of Rs.20000	3600

                  done clear
  C)

  (i)	(ii)
  Loss of Rs. 25000	3600

                  done clear
  D)

  (i)	(ii)
  Profit of Rs. 30000	2000

  done clear
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• question_answer27)
  The following number line shows the temperature in degree Celsius \[{{(}^{o}}C)\] at different places on a particular day. Find P, Q and R.

  (i) The temperature difference between the hottest and the coldest places is P.

  (ii)  The temperature difference between Yamuna Nagar and Pathankot is Q .

  (iii) The temperature difference between Pathankot and Kashmir is R.

  A)

  P	Q	R
  \[{{31}^{o}}C\]	\[{{8}^{o}}C\]	\[{{5}^{o}}C\]

                  done clear
  B)

  P	Q	R
  \[{{30}^{o}}C\]	\[{{18}^{o}}C\]	\[{{6}^{o}}C\]

                  done clear
  C)

  P	Q	R
  \[{{31}^{o}}C\]	\[{{18}^{o}}C\]	\[{{6}^{o}}C\]

                  done clear
  D)

  P	Q	R
  \[{{30}^{o}}C\]	\[{{7}^{o}}C\]	\[{{8}^{o}}C\]

  done clear
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• question_answer28)
  Match the following.

  Column-I	Column-II
  (i) For any two under integers a and b, \[a\times b\]is also an integer Thus, integers are	(a) Distributive addition and multiplication
  (ii) \[a\times b=b\times a;\] this denotes that integers are	(b) Positive quotient
  (iii) \[a\times (b+c)\]\[=a\times b+a\times c;\] this denotes that integers are	(c) Closed under     multiplication
  (iv) The division of a negative integer by another negative integer results in	(d) Commutative under multiplication

             
  A)
   (i) \[\to \](b), (ii)\[\to \](c), (iii)\[\to \](d), (iv)\[\to \](a) done clear
  B)
   (i)\[\to \](c), (ii)\[\to \](d), (iii)\[\to \](a), (iv)\[\to \](b) done clear
  C)
   (i)\[\to \](d), (ii)\[\to \](c), (iii)\[\to \](a), (iv)\[\to \](b) done clear
  D)
   (i)\[\to \](c), (ii)\[\to \](d), (iii)\[\to \](b), (iv)\[\to \](a) done clear
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• question_answer29)
  State T for true and 'F' for false.

  (i) The addition and subtraction of integer cannot be represented on the number line.

  (ii) For any three integers a, b and c, \[(a+b)+c=(a+c)\,(b+c)\].

  (iii) Under addition, the integer 1 is its identity.

  (iv) The product of even number of negative integers is negative.

  A)

  (i)	(ii)	(iii)	(iv)
  T	T	F	T

                  done clear
  B)

  (i)	(ii)	(iii)	(iv)
  F	T	F	T

                  done clear
  C)

  (i)	(ii)	(iii)	(iv)
  F	T	T	F

                  done clear
  D)

  (i)	(ii)	(iii)	(iv)
  F	F	F	F

  done clear
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• question_answer30)
  Fill in the blanks with >, < or =.

  (i) \[22\times (-36)+(-42)\div (-3)9\times 56\times (-8)\]

  (ii) \[26-22+21\div (-7)43-11-13\]

  (iii) \[(-16)\div [(-13)+(-3)]12\div [(-3)-0]\]

  A)

  (i)	(ii)	(iii)
  >	<	=

                  done clear
  B)

  (i)	(ii)	(iii)
  <	<	>

                  done clear
  C)

  (i)	(ii)	(iii)
  >	<	>

                  done clear
  D)

  (i)	(ii)	(iii)
  =	>	<

  done clear
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