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Question 15 Marks
Answer the following questions from the number line given below

i) Which integer is greater: G or K? Why?
ii) Find the integer that represents C.
iii) How many integers are there between G and H?
iv) Find the pairs of letters which are opposite of a number.
v) Say True or False: 6 units to the left of D is −6.
Answer
i) K is greater. K represents −1 and G represents −3.
Because it is to the right of G in the negative side of the number line.
ii) C represents −4
iii) G represents −3 and H represents 4.
∴ −2, −1, 0, 1, 2, 3 are the 6 numbers between G and H.
iv) (C, H) and (E, J) are opposite pairs.
v) 6 units to the left of D is −6 - False
Because D represents +6 on the number line
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Question 25 Marks
The following bar graph shows the profit (+) and loss (−) of a small scale company (in crores) between the years 2011 to 2017.
Image
i) Write the integer that represents a profit or a loss for the company in 2014?
ii) Denote by an integer on the profit or loss in 2016.
iii) Denote by integers on the loss for the company in 2011 and 2012.
iv) Say True or False: The loss is minimum in 2012.
v) Fill in: The amount of loss in 2011 is _______ as profit in 2013.
Answer
i) Profit ₹ 45 crores.
∴ + 45
ii) In 2016 neither profit nor loss happened.
∴ 0
iii) In 2011 loss is 10 crores and in 2012 loss is 20 crores.
∴ −10 and −20.
iv) In 2011 the company’s loss is minimum - False
v) The amount of loss in 2011 is the same as profit in 2013.
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Question 35 Marks
Complete the table using the following hints:
C1: the first non-negative integer.
C3: the opposite to the second negative integer.
C5: the additive identity in whole numbers.
C6: the successor of the integer in C2.
C8: the predecessor of the integer in C7.
C9: the opposite to the integer in C5.
Answer
C1: First non-negative integer is 0
C3: Second negative integer is −2 its opposite is 2
C5: 0 is the additive identity in whole numbers
C6: C2 has −5. Its successor is −4
C8: Integer in C7 is −7. Predecessor of −7 is −8
C9: C5 has 0. Opposite of 0 is 0.
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Question 45 Marks
Assuming that the home to be the starting point, mark the following places in order on the number line as per instructions given below and write their corresponding integers.

Places: Home, School, Library, Playground, Park, Departmental Store, Bus Stand, Railway Station, Post Office, Electricity Board.
Instructions:
i) Bus Stand is 3 units to the right of Home.
ii) Library is 2 units to the left of Home.
iii) Departmental Store is 6 units to the left of Home.
iv) Post Office is 1 unit to the right of the Library.
v) Park is 1 unit right of Departmental Store.
vi) Railway Station is 3 units left of Post Office.
vii) Bus Stand is 8 units to the right of Railway Station.
viii) School is next to the right of Bus Stand.
ix) Playground and Library are opposite to each other.
x) Electricity Board and Departmental Store are at equal distance from Home.
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5 marks - Maths STD 6 Questions - Vidyadip