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All questions of Negative Numbers and Integers for CTET & State TET Exam
Which of the following number is greater than – 1?
- a)-12
- b)-3
- c)2
- d)-2
Correct answer is option 'C'. Can you explain this answer?
Which of the following number is greater than – 1?
a)
-12
b)
-3
c)
2
d)
-2
|
Priyanka Sharma answered |
-
-12: This is a negative number and is smaller than −1. On a number line, −12 is to the left of −1, so it's less than −1.
-
-3: This is also a negative number and is smaller than −1. On a number line, −3 is to the left of −1, so it's less than −1.
-
2: This is a positive number. Positive numbers are always greater than negative numbers, so 2 is greater than −1. On a number line, 2 is to the right of −1, which means it is greater.
-
-2: This is a negative number and is smaller than −1. On a number line, −2 is to the left of −1, so it's less than −1.
Conclusion: The only number in the list that is greater than −1 is 2. Positive numbers like 2 are always greater than negative numbers like −1. Therefore, 2 is the correct answer.
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Integers, Class 6, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic. Q.Absolute value of - 11 is- a)0
- b)11
- c)1
- d)-11
Correct answer is option 'B'. Can you explain this answer?
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Integers, Class 6, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.
Q.
Absolute value of - 11 is
a)
0
b)
11
c)
1
d)
-11
|
Aashna Chopra answered |
The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so −11 also has 11 as an absolute value.
Which of the following statement is true:
- a)– 1 subtracted from – 5 gives 6
- b)3 subtracted from – 8 gives – 11
- c)2 subtracted from – 3 gives 1
- d)1 subtracted from – 7 gives – 6
Correct answer is option 'B'. Can you explain this answer?
Which of the following statement is true:
a)
– 1 subtracted from – 5 gives 6
b)
3 subtracted from – 8 gives – 11
c)
2 subtracted from – 3 gives 1
d)
1 subtracted from – 7 gives – 6
|
|
Priyanka Sharma answered |
= (-8) - 3
= -8 - 3
= - 11
try to convert this statment in mathematical equation and you will get your answer
Sum of – 30 and – 12 is- a)-42
- b)42
- c)-18
- d)18
Correct answer is option 'A'. Can you explain this answer?
Sum of – 30 and – 12 is
a)
-42
b)
42
c)
-18
d)
18
|
|
Priyanka Sharma answered |
= ( -30) + (-12)
= -30 - 12
= -42
Which of these is the smallest positive integer?- a)0
- b)100
- c)1
- d)9
Correct answer is option 'C'. Can you explain this answer?
Which of these is the smallest positive integer?
a)
0
b)
100
c)
1
d)
9
|
Gayatri Chavan answered |
1, because (1,2,- - - - ) are the positive integers and 0 is neither positive nor negative number , (-1,-2,- - - -) are negative integers . Hence among positive integers 1 is the least integer.
Which of the following statement is false:
- a)-7 +(-6) = -13
- b)-5 + 1 = 4
- c)2 + (-1) = 1
- d)8 + (-9) = -1
Correct answer is option 'B'. Can you explain this answer?
Which of the following statement is false:
a)
-7 +(-6) = -13
b)
-5 + 1 = 4
c)
2 + (-1) = 1
d)
8 + (-9) = -1
|
|
Priyanka Sharma answered |
Let's examine each statement to verify its correctness:
-
Statement: −7+(−6)=−13
- Solution: Adding two negative numbers, −7+(−6)=−13-7 + (-6) = -13−7+(−6)=−13.
- Result: This statement is true.
-
Statement: −5+1=4
- Solution: Adding −5 and 1 gives −4, not 4.
- Result: This statement is false.
-
Statement: 2+(−1)=1
- Solution: Adding 2 and −1 gives 1.
- Result: This statement is true.
-
Statement: 8+(−9)=−1
- Solution: Adding 888 and −9 gives −1.
- Result: This statement is true.
Therefore, the false statement is:
2: −5+1=4. The correct result should be −5+1=−4.
Compare pairs of numbers using > or <: -13 _____ 13- a)<
- b)>
- c)=
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Compare pairs of numbers using > or <: -13 _____ 13
a)
<
b)
>
c)
=
d)
None of these
|
|
Priyanka Sharma answered |
Positve numbers are always greater than negative numbers.
Therfore, -13 < 13
Can you explain the answer of this question below:Farther a number from zero on the right, _________ is its value.
- A:
equal
- B:
larger
- C:
smaller
- D:
None of these
The answer is b.
Farther a number from zero on the right, _________ is its value.
equal
larger
smaller
None of these
|
|
Priyanka Sharma answered |
On the right side of zero lies the positive numbers.
Therefore, farther a number from zero on the right, larger is its value.
Sum of -14 and 9 is- a)-5
- b)23
- c)5
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Sum of -14 and 9 is
a)
-5
b)
23
c)
5
d)
None of these
|
|
Priyanka Sharma answered |
= (-14) + 9
= -14 + 9
= -5
Which of the following integers is greater than –1 and lesser than 7?- a)–9
- b)-5
- c)5
- d)8
Correct answer is option 'C'. Can you explain this answer?
Which of the following integers is greater than –1 and lesser than 7?
a)
–9
b)
-5
c)
5
d)
8
|
Anita Menon answered |
5 is an integer which is greater than -1 and less than 7.
How is the opposite of rise in temperature by 5∘C denoted?- a)+5∘C
- b)-15∘C
- c)-5∘C
- d)+10∘C
Correct answer is option 'C'. Can you explain this answer?
How is the opposite of rise in temperature by 5∘C denoted?
a)
+5∘C
b)
-15∘C
c)
-5∘C
d)
+10∘C
|
|
Priyanka Sharma answered |
The opposite of rise in temperature by 5o C is - 5o C.
(– 11) + (– 12) = ______- a)22
- b)-23
- c)23
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
(– 11) + (– 12) = ______
a)
22
b)
-23
c)
23
d)
None of these
|
|
Priyanka Sharma answered |
= (– 11) + (– 12)
= - 11 - 12
= - 23
Which is the right form of integer ‘20°C above 0°C’?- a)-20
- b)30
- c)20
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Which is the right form of integer ‘20°C above 0°C’?
a)
-20
b)
30
c)
20
d)
None of these
|
|
Priyanka Sharma answered |
As number over 0oC are positive numbers, 20o C above 0oC will be written as 20.
The number 3 less than – 2 is- a)5
- b)2
- c)-5
- d)-2
Correct answer is option 'C'. Can you explain this answer?
The number 3 less than – 2 is
a)
5
b)
2
c)
-5
d)
-2
|
|
Priyanka Sharma answered |
= a x b - a x c
= 2 x 10 - 2 x 6
= 20 - 12
= 8
(– 4) + (+ 3) = _____- a)7
- b)-1
- c)6
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
(– 4) + (+ 3) = _____
a)
7
b)
-1
c)
6
d)
None of these
|
|
Priyanka Sharma answered |
= (– 4) + (+ 3)
= - 4 + 3
= - 1
Which of the following numbers is to the right of -3 on number line?- a)-5
- b)-2
- c)-3
- d)-4
Correct answer is option 'B'. Can you explain this answer?
Which of the following numbers is to the right of -3 on number line?
a)
-5
b)
-2
c)
-3
d)
-4
|
|
Priyanka Sharma answered |
-2 is on the right of -3 on the number line as it a bigger number than -3.
What is the number of negative integers between -11 and 11?
- a)10
- b)13
- c)0
- d)22
Correct answer is option 'A'. Can you explain this answer?
What is the number of negative integers between -11 and 11?
a)
10
b)
13
c)
0
d)
22
|
Mohit Menon answered |
Excluding -11 and 11, the negative integers between them are -10,-9,-8,......-1.
– 26 is _________ than – 25.- a)1
- b)smaller
- c)larger
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
– 26 is _________ than – 25.
a)
1
b)
smaller
c)
larger
d)
None of these
|
|
Amit Sharma answered |
As we know, in negative numbers, the number with larger absolute value is smaller.
Therfore, - 26 is smaller than - 25.
Match the following:
- a)(i)-[a], (ii)-[b], (iii)-[c], (iv)-[d]
- b)(i)-[d], (ii)-[a], (iii)-[b], (iv)-[c]
- c)(i)-[b], (ii)-[d], (iii)-[a], (iv)-[c]
- d)(i)-[c], (ii)-[d], (iii)-[a], (iv)-[b]
Correct answer is option 'B'. Can you explain this answer?
Match the following:
a)
(i)-[a], (ii)-[b], (iii)-[c], (iv)-[d]
b)
(i)-[d], (ii)-[a], (iii)-[b], (iv)-[c]
c)
(i)-[b], (ii)-[d], (iii)-[a], (iv)-[c]
d)
(i)-[c], (ii)-[d], (iii)-[a], (iv)-[b]
|
|
Anita Menon answered |
(i) 36 + 14 = 50
(ii) 38 + (-12) = 26
(iii) (-18) + (30) = 12
(iv) (-7) + (- 9) = - 16
What is the number of negative integers between -11 and 11? - a)0
- b)11
- c)10
- d)22
Correct answer is option 'C'. Can you explain this answer?
What is the number of negative integers between -11 and 11?
a)
0
b)
11
c)
10
d)
22
|
|
Anita Menon answered |
Excluding -11 and 11, the negative integers between them are -10,-9,-8,......-1.
Between which two integers does -6 lie?- a)-6 and 6
- b)7 and 5
- c)-7 and-10
- d)-7 and-5
Correct answer is option 'D'. Can you explain this answer?
Between which two integers does -6 lie?
a)
-6 and 6
b)
7 and 5
c)
-7 and-10
d)
-7 and-5
|
|
Anita Menon answered |
-6 lies between the integers -7 and -5.
The opposite of -7 is- a)-6
- b)6
- c)7
- d)-5
- e)
Correct answer is option 'C'. Can you explain this answer?
The opposite of -7 is
a)
-6
b)
6
c)
7
d)
-5
e)
|
Lavanya Menon answered |
The opposite of any negative number is it's positive counterpart. Therefore, opposite of -7 would be 7.
Which number is neither positive nor negative?- a)1
- b)5
- c)0
- d)10
Correct answer is option 'C'. Can you explain this answer?
Which number is neither positive nor negative?
a)
1
b)
5
c)
0
d)
10
|
|
Partho Nair answered |
Solution:
The number which is neither positive nor negative is zero (0).
Explanation:
• Positive numbers are greater than zero. Example: 1, 2, 3, 4, 5, ...
• Negative numbers are less than zero. Example: -1, -2, -3, -4, -5, ...
• Zero is neither positive nor negative. It is a neutral number.
Therefore, the correct option is (c) 0.
The number which is neither positive nor negative is zero (0).
Explanation:
• Positive numbers are greater than zero. Example: 1, 2, 3, 4, 5, ...
• Negative numbers are less than zero. Example: -1, -2, -3, -4, -5, ...
• Zero is neither positive nor negative. It is a neutral number.
Therefore, the correct option is (c) 0.
Write the number with appropriate signs: 150 m below sea level.- a)-150
- b)150
- c)200
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Write the number with appropriate signs: 150 m below sea level.
a)
-150
b)
150
c)
200
d)
None of these
|
|
Priyanka Sharma answered |
Sea level is considered as 0, thus any number below 0 will be a negative number.
Therfore the appropriate sign for 150 m below the sea level is -150.
Sum of -4, -6, -8 and 8 is- a)−14
- b)−12
- c)14
- d)−10
Correct answer is 'D'. Can you explain this answer?
Sum of -4, -6, -8 and 8 is
a)
−14
b)
−12
c)
14
d)
−10
|
|
Priyanka Sharma answered |
= (-4) + (-6) + (-8) + 8
= -4 - 6 - 8 + 8
= -10
In addition and subtraction of the integers the sign of answer depends upon- a)their sum
- b)their difference
- c)smaller number
- d)greater numerical value
Correct answer is option 'D'. Can you explain this answer?
In addition and subtraction of the integers the sign of answer depends upon
a)
their sum
b)
their difference
c)
smaller number
d)
greater numerical value
|
Athira Basak answered |
Ans.
It depends on the larger no . if negative no .is greater than sign will be a minus . if positive number is greater than sign will be a plus.
Example : 20-30= -10
On a vertical number line, where are the positive numbers placed?- a)To the right of 0.
- b)To the left of 0.
- c)Above 0.
- d)Below zero.
Correct answer is option 'C'. Can you explain this answer?
On a vertical number line, where are the positive numbers placed?
a)
To the right of 0.
b)
To the left of 0.
c)
Above 0.
d)
Below zero.
|
Kunal Mehta answered |
On a vertical number line, positive numbers are located above zero. As we look upward on a vertical number line, the values of the numbers increase. On a vertical number line, negative numbers are located above zero.
What is the integer representation of walking 3km south?- a)Walking 3 km towards the north
- b)-3 km
- c)+3 km
- d)+3
Correct answer is option 'B'. Can you explain this answer?
What is the integer representation of walking 3km south?
a)
Walking 3 km towards the north
b)
-3 km
c)
+3 km
d)
+3
|
Varun Kapoor answered |
The correct option is Option B.
North is (Positive) & South is (Negative)
Hence Option B is the Correct answer i.e -3 km
The opposite of -36 is 36. Which is the only integer that does not have an opposite?- a)-100
- b)0
- c)No such number exists in Z.
- d)476
Correct answer is option 'B'. Can you explain this answer?
The opposite of -36 is 36. Which is the only integer that does not have an opposite?
a)
-100
b)
0
c)
No such number exists in Z.
d)
476
|
|
Priyanka Sharma answered |
The only integer which does not have a opposite is 0. It is niether a positive or a negative number.
To which side of 0 on a horizontal number line are the negative integers located?- a)Right
- b)Left
- c)Above
- d)Below
Correct answer is option 'B'. Can you explain this answer?
To which side of 0 on a horizontal number line are the negative integers located?
a)
Right
b)
Left
c)
Above
d)
Below
|
|
Priyanka Sharma answered |
Negative numbers are located on the left side of 0 on the number line.
The figure shows a thermometer that records a winter day's temperature at 5:30 a.m. 
If the temperature dropped by 2∘C, what would it have been?- a)8∘C
- b)10∘C
- c)-10∘C
- d)-14∘C
Correct answer is option 'D'. Can you explain this answer?
The figure shows a thermometer that records a winter day's temperature at 5:30 a.m.
If the temperature dropped by 2∘C, what would it have been?
a)
8∘C
b)
10∘C
c)
-10∘C
d)
-14∘C
|
|
Anita Menon answered |
As the figure shows current temperature at - 12oC. The temperature drops by 2oC.
The current temperature is -12 - 2 = - 14oC.
Sum of two negative numbers is always ____ - a)0
- b)1
- c)positive sum
- d)negative sum
Correct answer is option 'D'. Can you explain this answer?
Sum of two negative numbers is always ____
a)
0
b)
1
c)
positive sum
d)
negative sum
|
Aaradhya Bagaria answered |
Because we can write it as -2+-1 so if you can see the sign before the numbers is a negative sign and the bigger number is 2 so the sign of the bigger number is always taken
Compare pairs of numbers using > or <: 0 _____ -15- a)<
- b)=
- c)>
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Compare pairs of numbers using > or <: 0 _____ -15
a)
<
b)
=
c)
>
d)
None of these
|
|
Priyanka Sharma answered |
0 is greater than every negative number.
Therefore, 0 > - 15
Which of the following is the greatest negative integer?- a)-100
- b)Does not exist.
- c)-1
- d)-9
Correct answer is option 'C'. Can you explain this answer?
Which of the following is the greatest negative integer?
a)
-100
b)
Does not exist.
c)
-1
d)
-9
|
Rithika Patel answered |
The greatest negative integer is - 1.
Write the statement “Seven times a number plus 7 gets you 77”in the form of equations.- a)6x – 6 = 66
- b)7x + 7 = 77
- c)7x + 6 = 66
- d)7x – 7 = 77
Correct answer is option 'B'. Can you explain this answer?
Write the statement “Seven times a number plus 7 gets you 77”in the form of equations.
a)
6x – 6 = 66
b)
7x + 7 = 77
c)
7x + 6 = 66
d)
7x – 7 = 77
|
|
Priyanka Sharma answered |
Let the number be x
Therefore, 7 times x would be 7x
= 7x + 7 = 77
What is the opposite of a profit of Rs. 250?- a)+ Rs. 250
- b)A loss of Rs. 250
- c)+ 250
- d)A gain of Rs. 250
Correct answer is option 'B'. Can you explain this answer?
What is the opposite of a profit of Rs. 250?
a)
+ Rs. 250
b)
A loss of Rs. 250
c)
+ 250
d)
A gain of Rs. 250
|
|
Priyanka Sharma answered |
The opposite of profit of Rs. 250 is loss of Rs. 250.
What is the set of negative numbers and whole numbers called?- a)The set of natural numbers
- b)The set of integers
- c)The set of positive numbers
- d)The set of negative numbers
Correct answer is option 'B'. Can you explain this answer?
What is the set of negative numbers and whole numbers called?
a)
The set of natural numbers
b)
The set of integers
c)
The set of positive numbers
d)
The set of negative numbers
|
Prasad Kulkarni answered |
Integers
Integers are the set of whole numbers and their opposites, including zero. This means that integers are composed of the set of positive whole numbers (1, 2, 3, ...), the set of negative whole numbers (-1, -2, -3, ...), and zero (0).
Therefore, option B is the correct answer as it specifically refers to the set of integers. Option A (the set of natural numbers) only includes positive whole numbers, and option C (the set of positive numbers) only includes positive numbers without zero or negative numbers. Option D (the set of negative numbers) only includes the set of negative whole numbers without zero or positive numbers.
In summary, integers are a broader set that includes both negative and positive whole numbers and zero.
Integers are the set of whole numbers and their opposites, including zero. This means that integers are composed of the set of positive whole numbers (1, 2, 3, ...), the set of negative whole numbers (-1, -2, -3, ...), and zero (0).
Therefore, option B is the correct answer as it specifically refers to the set of integers. Option A (the set of natural numbers) only includes positive whole numbers, and option C (the set of positive numbers) only includes positive numbers without zero or negative numbers. Option D (the set of negative numbers) only includes the set of negative whole numbers without zero or positive numbers.
In summary, integers are a broader set that includes both negative and positive whole numbers and zero.
The figure shows a thermometer that records a winter day's temperature at 5:30 a.m. If the temperature starts at-4∘C, rises by 4∘C, falls by 3∘C and then rises again by 6∘C then what would be the final temperature?- a)6∘C
- b)0∘C
- c)2∘C
- d)3∘C
Correct answer is option 'D'. Can you explain this answer?
The figure shows a thermometer that records a winter day's temperature at 5:30 a.m.
If the temperature starts at-4∘C, rises by 4∘C, falls by 3∘C and then rises again by 6∘C then what would be the final temperature?
a)
6∘C
b)
0∘C
c)
2∘C
d)
3∘C
|
|
Rithika Patel answered |
(-4∘C) + (4∘C) + (-3∘C) + (6∘C) =3∘C
The value of 5 ÷ (−1) does not lie between- a)0 and −10
- b)0 and 10
- c)−4 and −15
- d)−6 and 6
Correct answer is option 'B'. Can you explain this answer?
The value of 5 ÷ (−1) does not lie between
a)
0 and −10
b)
0 and 10
c)
−4 and −15
d)
−6 and 6
|
|
Kiran Reddy answered |
Given:
Expression: 5 ÷ (-1)
Concept used:
Division of a positive number by a negative number results in a negative quotient.
Calculation:
5 ÷ (-1) = -5
Now let's check which range the value -5 lies in:
-10 < -5 < 0
∴ The value of 5 ÷ (-1) does not lie between 0 and 10.
What is opposite of ’50 km of south’?- a)50 km of east
- b)50 km of west
- c)50 km of north
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
What is opposite of ’50 km of south’?
a)
50 km of east
b)
50 km of west
c)
50 km of north
d)
None of these
|
|
Anita Menon answered |
The opposite of 50 km of south is 50 km of north.
Every positive integer is larger than every ________ integer.- a)positive
- b)negative
- c)1
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Every positive integer is larger than every ________ integer.
a)
positive
b)
negative
c)
1
d)
None of these
|
|
Harshad Goyal answered |
Understanding Positive and Negative Integers
Every positive integer is defined as a number greater than zero, such as 1, 2, 3, and so on. These integers are always larger than zero.
Negative Integers Explained
- Negative integers are numbers less than zero, such as -1, -2, -3, etc.
- They represent values that are below the baseline of zero and are always less than positive integers.
Comparison of Positive and Negative Integers
When comparing positive and negative integers:
- **Positive integers (e.g., 1, 2, 3)**: These numbers are greater than zero.
- **Negative integers (e.g., -1, -2, -3)**: These numbers are less than zero.
This leads us to the key point:
- **Every positive integer is larger than every negative integer**.
For example:
- The positive integer 1 is larger than -1.
- The positive integer 2 is larger than -3.
Why Other Options Are Incorrect
- **Option A: Positive**: This is incorrect because a positive integer is not larger than itself.
- **Option C: 1**: This is also incorrect because it only refers to one specific positive integer, not all positive integers.
- **Option D: None of these**: This does not apply since option B is indeed correct.
Conclusion
In conclusion, the correct answer to the statement "Every positive integer is larger than every ________ integer" is option **B: negative**. This highlights the fundamental nature of integers and their relationships on the number line.
Every positive integer is defined as a number greater than zero, such as 1, 2, 3, and so on. These integers are always larger than zero.
Negative Integers Explained
- Negative integers are numbers less than zero, such as -1, -2, -3, etc.
- They represent values that are below the baseline of zero and are always less than positive integers.
Comparison of Positive and Negative Integers
When comparing positive and negative integers:
- **Positive integers (e.g., 1, 2, 3)**: These numbers are greater than zero.
- **Negative integers (e.g., -1, -2, -3)**: These numbers are less than zero.
This leads us to the key point:
- **Every positive integer is larger than every negative integer**.
For example:
- The positive integer 1 is larger than -1.
- The positive integer 2 is larger than -3.
Why Other Options Are Incorrect
- **Option A: Positive**: This is incorrect because a positive integer is not larger than itself.
- **Option C: 1**: This is also incorrect because it only refers to one specific positive integer, not all positive integers.
- **Option D: None of these**: This does not apply since option B is indeed correct.
Conclusion
In conclusion, the correct answer to the statement "Every positive integer is larger than every ________ integer" is option **B: negative**. This highlights the fundamental nature of integers and their relationships on the number line.
Sum of - 10 , - 5 and 12 is- a)27
- b) 3
- c)-27
- d)- 3
Correct answer is option 'D'. Can you explain this answer?
Sum of - 10 , - 5 and 12 is
a)
27
b)
3
c)
-27
d)
- 3
|
Palak Nambiar answered |
Calculation of the sum of -10, -5, and 12
Steps to find the sum:
- Add the numbers together: -10 + (-5) + 12
- -10 + (-5) = -15
- -15 + 12 = -3
Explanation:
When adding negative numbers, the rule is to add the numbers together and keep the sign of the larger number. In this case, -10 and -5 are added to get -15. Then, -15 is added to 12 to get the final result of -3.
Therefore, the sum of -10, -5, and 12 is -3.
Steps to find the sum:
- Add the numbers together: -10 + (-5) + 12
- -10 + (-5) = -15
- -15 + 12 = -3
Explanation:
When adding negative numbers, the rule is to add the numbers together and keep the sign of the larger number. In this case, -10 and -5 are added to get -15. Then, -15 is added to 12 to get the final result of -3.
Therefore, the sum of -10, -5, and 12 is -3.
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Mathematics & Pedagogy Paper 2 for CTET & TET Exams
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