Class 10th Math Quiz

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Category: Mathematics II

"Crack the Code, Unleash the Genius: Your Journey to Mathematics Mastery Starts Here!

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Mathematics II

SETS AND FUNCTIONS

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Category: Sets and Functions

1. A  function is called surjective if range ________ co-domain.

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Category: Sets and Functions

2. If two sets have no common elements, they are called

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Category: Sets and Functions

3. Which of the following is not an example of a finite set?

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Category: Sets and Functions

4. Which one is commutative _________.

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Category: Sets and Functions

5. The union of two sets A and B is denoted by

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Category: Sets and Functions

6. Which of the following is a set notation?

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Category: Sets and Functions

7. If (x,6) = (2,y -6) then x + y = ________.

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Category: Sets and Functions

8. The set of natural numbers is denoted by

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Category: Sets and Functions

9. Which one is Subset of N?

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Category: Sets and Functions

10. The intersection of two sets A and B is denoted by

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Category: Sets and Functions

11. The complement of a set A is denoted by

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Category: Sets and Functions

12. For any two non-empty sets A and B, AUB =U and A ∩ B = {}, then A and B are __________.

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Category: Sets and Functions

13. The power set of a set A is

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Category: Sets and Functions

14. Which one is always bijective __________.

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Category: Sets and Functions

15. Which one is function ________.

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Mathematics II

VARIATION

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Category: Variations

1. If 2x, 3y and 6z are in continued proportion then _______.

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Category: Variations

2. If p : q = r : s then p : r = q : s this property is called _________.

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Category: Variations

3. If x + 5 : x + 7 = 5 : 7  then  x  is equal to __________. 

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Category: Variations

4. If 1, 9, x  and 45 are in proportion, then x = _______. 

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Category: Variations

5. In a ratio l : m, l is called ___________.

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Category: Variations

6. The mean proportional between a2 and b2 is ______________.

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Category: Variations

7. If x / y = w / z then according to dividendo property is ____________.

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Category: Variations

8. If a : b = c : d then according to invertendo property ___________.

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Category: Variations

9. If a, b & c are in continued proportion then b is called ___________ proportion between a & c.

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Category: Variations

10. If a : 4 = 15 : 5 then a = _________. 

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Category: Variations

11. If x : y = z : w then according to Componendo ___________.

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Category: Variations

12. In a proportion p : q :: r : s, p is called ________.

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Category: Variations

13. Force and acceleration are in ___________.

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Category: Variations

14. The fourth proportional to 3, 5, 12 is ____________.

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Category: Variations

15. In a ratio u : v, v is called _______________.

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Mathematics II

MATRICES AND DETERMINANTS

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Category: Matrices and Determinants

1. A square matrix is said to be ___________ matrix it its transpose is equals to itself.

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Category: Matrices and Determinants

2. _________ (1821-1895) was the first mathematician who developed the theory of matrices.

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Category: Matrices and Determinants

3. A zero/null matrix is a matrix in which each element is equal to _________.

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Category: Matrices and Determinants

4. A square matrix is called __________ matrix, if all the elements of matrix are zero except at least one element of main diagonal.

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Category: Matrices and Determinants

5. A matrix is obtained by interchanging the rows into columns or the columns into rows, is called ________ of the matrix.

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Category: Matrices and Determinants

6. The ________ of a matrix is the transpose of the matrix of cofactors of that matrix.

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Category: Matrices and Determinants

7. A singular matrix is also called __________ matrix.

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Category: Matrices and Determinants

8. A non singular matrix is also called _____________ matrix.

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Category: Matrices and Determinants

9. The order or size of  a matrix is defined by the number of __________ it contains.

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Category: Matrices and Determinants

10. A matrix having one column is called _________ matrix.

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Category: Matrices and Determinants

11. If A = [2  3] and B= [-4  5] then A + B = ______________.

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Category: Matrices and Determinants

12. The horizontal line of entries in a matrix is called ___________.

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Category: Matrices and Determinants

13. A matrix is said to _______________ matrix if its transpose is equal to negative of itself.

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Category: Matrices and Determinants

14. If  m denotes the number of rows and n denotes the number of columns such that m=n, then matrix is called _______ matrix.

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Category: Matrices and Determinants

15. Two matrices are called _______ matrices, if they have same order and their corresponding elements are equal.

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Category: Matrices and Determinants

16. A matrix in which number of rows is not equal to number of columns is called _________ matrix.

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Category: Matrices and Determinants

17. The vertical line of entries in a matrix is called ________ of a matrix.

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Category: Matrices and Determinants

18. A _______ is a rectangular array of elements.

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Category: Matrices and Determinants

19. A matrix having one row is called _______ matrix.

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Category: Matrices and Determinants

20. The matrices belongs to a field of mathematics, that is ___________.

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Mathematics II

THEORY OF QUADRATIC EQUATIONS

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Category: Theory of Quadratic Equations

1. The cube roots of unity are _____________.

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Category: Theory of Quadratic Equations

2. The area of a rectangular plot is 320m^2. The width of the plot is less 4m than the length of the plot. The length and width of the plot are _______.

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Category: Theory of Quadratic Equations

3. If sum of the roots of (p+1)x^2 + (2p+3)x + (3p + 4) = 0, is -1, then product of the root is _________.

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Category: Theory of Quadratic Equations

4. The solution of the system of equations x^2 + y^2 = 4 and 2x^2 - y^2 = 8 is __________.

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Category: Theory of Quadratic Equations

5. If one root of quadratic equation is 2 + √ 3, then other root will be ________.

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Category: Theory of Quadratic Equations

6. The solution of system of equations 3x -2y=7 and xy = 20 is _______.

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Category: Theory of Quadratic Equations

7. The required equation whose roots are the reciprocal of the root of ax^2 + bx + c =0 is ____________.

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Category: Theory of Quadratic Equations

8. For quadratic equations, the sum of the roots = _____________.

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Category: Theory of Quadratic Equations

9. For what value of p will 3x^2 + 5x + p = 0 have equal roots?

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Category: Theory of Quadratic Equations

10. If sum of the roots of a quadratic equation is b/a and the product of the roots is c/a, then equation is _____________.

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Category: Theory of Quadratic Equations

11. The nature of the roots of ax^2 + bx + 0, a ≠ 0 is determined by _____________.

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Category: Theory of Quadratic Equations

12. A polynomial of second degree is called __________ equation.

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Category: Theory of Quadratic Equations

13. If p, q are the roots of 2x^2 + 5x + 3 = 0, then p + q = ___________.

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Category: Theory of Quadratic Equations

14. If α,β are the roots of the equation x^2 -5x + 6 =0, the equation whose roots are 2α + 1, 2β + 1 is ______________.

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Category: Theory of Quadratic Equations

15. If 1/α , 1/β are the roots of the ax^2 + bx + c =0, a ≠ 0, then α +β = ______________.

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Category: Theory of Quadratic Equations

16. The discriminant of 2x^2 + 5x -4 = 0 is ______________.

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Category: Theory of Quadratic Equations

17. If Δ = b^2 -4ac, of a quadratic equation with real coefficient is perfect square, the roots are ________.

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Category: Theory of Quadratic Equations

18. The quadratic equation equation whose roots are complex cube roots.

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Category: Theory of Quadratic Equations

19. If α,β are the roots of x^2 -2x -15 =0,  then the value of α^2 + β^2 = __________.

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Category: Theory of Quadratic Equations

20. The cube root of -27 are __________.

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Mathematics II

PARTIAL FRACTION

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Category: Partial Fractions

1. An improper fraction can be reduced into proper fractions by_____.

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Category: Partial Fractions

2. Find the partial fractions of x-3/x^3+3x are _______. 

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Category: Partial Fractions

3. The fraction 2x+5 /x2+5x +6 is known as ______.

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Category: Partial Fractions

4. x^3+1/(x-1)(x+2) is _____.

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Category: Partial Fractions

5. Partial fractions of x/(x-a)(x-b)(x- c) can have a form of _____.

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Mathematics II

BASIC STATISTICS

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Category: Basic Statistics

1. _____ in a grouped data with continuous classes are the arithmetic means of the class limit  or class boundaries of the classes.

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Category: Basic Statistics

2. Data is divided into _____types.

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Category: Basic Statistics

3. ______ are the numbers used to identify  a class.

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Category: Basic Statistics

4. ______ are used for graphical representation of quantitative data by using the frequency table with discrete and continuous classes.

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Category: Basic Statistics

5. If data contain a number equal to 0, then ____cannot be computed. 

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Category: Basic Statistics

6. Class marks or mid points are denoted by ____.

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Category: Basic Statistics

7. The numbers which separate a  class from  adjoining classes are called ______.

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Category: Basic Statistics

8. The ________is a tabular description  of  a grouped data, consisting of classes and corresponding frequencies.

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Category: Basic Statistics

9. The word ____ means something increasing by successive additions.

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Category: Basic Statistics

10. _____ is the branch of mathematics which deals with the collection ,organization ,representation and analysis of data

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Category: Basic Statistics

11. For each class, there is a smallest number  called  __________.

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Category: Basic Statistics

12. _____ is defined as size /length of a class, computed by finding difference between ant two consecutive LCLs or UCLs.

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Category: Basic Statistics

13. The spacing between the classes is denoted by ___.

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Category: Basic Statistics

14. The very basic form of data is know as _____.

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Category: Basic Statistics

15. The constant difference between the LCL  of a class and UCL of the next class is ______.

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Category: Basic Statistics

16. The number of classes is denoted by ____.

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Category: Basic Statistics

17. For each class, there is a largest number  called _______.

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Category: Basic Statistics

18. _____ is the sum of all frequencies up to that class.

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Category: Basic Statistics

19. _____ is the difference between highest and lowest observations in the data .

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Category: Basic Statistics

20. If all numbers in data are equal, then ____.

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