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### Case Study Based Questions Class 10 | Mathematics

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# Case Study Based Questions Class 10

# CASE STUDY -1, CHAPTER -1, REAL NUMBERS

Question | Answer |

1 | b |

2 | c |

3 | b |

4 | d |

5 | b |

# CASE STUDY 2 CHAPTER -1 REAL NUMBERS

To enhance the reading skills of grade X students, the
school nominates you and two of your friends to set up a class library. There
are two sections- section A and section B of grade X. There are 32 students in
section A and 36 students in section B.

Q1) What is the minimum number of books you will
acquire for the class library, so that they can be distributed equally among
students of Section A or Section B?

a) 144

b) 128

c) 288

d) 272

Q2) If the product of two positive integers is equal to the product of their HCF and

LCM is true then, the HCF (32 , 36) is

a) 2

b) 4

c) 6

d) 8

Q3) 36 can be expressed as a product of its primes as

a) 2^{2} x 3^{2}

b) 2^{1} x 3^{3}

c) 2^{3} x 3^{1}

d) 2^{0} x 3^{0}

Q4) 7 X 11 X 13 X 15 + 15 is a

a) Prime number

b) Composite number

c) Neither prime nor composite

d) None of the above

Q5) If p and q are positive integers such that p = ab^{2}
and q = a^{2}b, where a, b are prime numbers, then LCM (p, q) is

a) ab

b) a^{2}b^{2}

c) a^{3}b^{2}

d) a^{3}b^{3}

Question |
Answer |

1 |
c |

2 |
b |

3 |
a |

4 |
b |

5 |
b |

# CASE STUDY -1 CHAPTER -2 POLYNOMIALS

A car moves on a highway. The path it traces is given below

a) Parabola

b) Ellipse

c) Straight line

d) Circle

^{2}+ 4x + 3), then its zeroes are :

a) 1 and -3

b) -1 and 3

c) 1 and 3

d) -1 and -3

a) x^{2} + x + 2

b) x^{2} - x + 2

c) x^{2} - x – 2

d) x^{2} + x – 2

a) 4

b) 3

c) 2

d) 1

Q 5) The distance between C and G is :

b) 6 units

8 units

7 units

Question |
Answer |

1 |
a |

2 |
c |

3 |
c |

4 |
a |

5 |
b |

# CASE STUDY -2 CHAPTER -2 POLYNOMIALS

An asana is a body posture, originally and still a general
term for a sitting meditation pose, and later extended in hatha yoga and modern
yoga as exercise, to any type of pose or position, adding reclining, standing,
inverted, twisting, and

balancing poses. In the figure, one can observe that poses
can be related to representation of quadratic polynomial.

1. The shape of the poses shown is

a) Spiral

b) Ellipse

c) Linear

d) Parabola

2. The graph of parabola opens downwards, if _______

a) a ≥ 0

b) a = 0

c) a < 0

d) a > 0

3. In the graph, how many zeroes are there for the polynomial?

b) 1

c) 2

d) 3

Q4) The two zeroes in the above shown graph are

a) 2, 4

b) -2, 4

c) -8, 4

d) 2,-8

5. The zeroes of the quadratic polynomial are

a)

b)

c)

d) Question

Answer

1

d

2

c

3

c

4

b

5

b

Question |
Answer |

1 |
d |

2 |
c |

3 |
c |

4 |
b |

5 |
b |

# CASE STUDY -1, CHAPTER -5,

# ARITHMETIC PROGRESSION

I |
If the first
circular row has 30 seats, how many seats will be there in the 10th row? |
1 |

II |
For 1500 seats
in the auditorium, how many rows need to be there? |
1 |

III |
If there were 17
rows in the auditorium, how many seats will be there in the middle row? |
2 |

# CASE STUDY -1, CHAPTER -7,

# COORDINATE GEOMETRY

Shivani is an interior decorator, To design her own living room she designed wall shelves. The graph of intersecting wall shelves is given below.

Based on the above information, answer the following questions

a) (-6, -4)

b) (6, 4)

c) (-6, 4)

d) (6, -4)

a) (-3, 2/3)

b) (3, -1)

c) (3, 1)

d) (-3, -2/3)

a) 2:3

b) 2:1

c) 1:2

d) 1:1

a) 16 units

b) 3 units

c) 2 units

d) units

a) I(2,0), J(2,6), K(8,6), L(8,2)

b) I(2,-2), J(2,-6), K(8,-6), L(8,-2)

c) I(-2,0), J(-2,6), K(-8,6), L(-8,2)

d) I(-2,0), J(-2,-6), K(-8,-6), L(-8,-2)

Question |
Answer |

1 |
c |

2 |
b |

3 |
d |

4 |
c |

5 |
b |

**CASE STUDY -2, CHAPTER -7, **

**COORDINATE GEOMETRY**

A rough coordinate map of Lahiri’s Locality is shown below

a) (11, 8)

b) (7, 2)

c) (2, 7)

d) (8, 6)

a) 5 units

b) units

c) units

d) 17 units

a) x = y = 4

b) x + y = 7

c) x + y = -7

d) x – y = 7

a) 34 units

b) 28 units

c) () units

d) () units

a) (-4, -5)

b) (4, -5)

c) (-4, 5)

d) (0, 5)

Question |
Answer |

1 |
b |

2 |
c |

3 |
b |

4 |
d |

5 |
c |

**CASE STUDY -3, CHAPTER -7, COORDINATE GEOMETRY**

Coordinate geometry is the combination of algebra and geometry. In other words we can say that coordinate geometry is a technique in which we solve the geometrical problems algebraically.

In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. Shyam and Ekta walk into the class and after observing for a few minutes tries to find the answers of the following questions.

a) A(2,3), B(3,5), C(5,1), D(0, -1)

b) A(-2,3), B(3,5), C(5,1), D(0, -1)

c) A(-2,3), B(-3,5), C(5,1), D(0, -1)

a) |AB| =

b) |AB| =

c) |AB| = , |BC| =

d) |AB| =

Q 3) Distances: |AC| and |BD|

a) |AC| = , |BD| =

b) |AC| = , |BD| =

c) |AC| = , |BD| =

d) |AC| = , |BD| =

Question |
Answer |

1 |
b |

2 |
d |

3 |
a |

4 |
b |

5 |
a |

# CASE STUDY -4, CHAPTER -7, COORDINATE GEOMETRY

I | What is the length of the line segment joining points B and F? | 1 |

II | The centre ‘Z’ of the figure will be the point of intersection of the diagonals of quadrilateral WXOP. Then what are the coordinates of Z? | 1 |

III | What are the coordinates of the point on y axis equidistant from A and G? | 2 |

# CASE STUDY -1, CHAPTER -9,

# APPLICATION OF TRIGONOMETRY

Based on the above
information answer the following questions.

I |
Find the
distance PA. |
1 |

II |
Find the
distance PB |
1 |

III |
Find the width
AB of the river. [OR] Find the height
BQ if the angle of the elevation from P to Q be 30°. |
2 |

# CASE STUDY -1, CHAPTER -12,

# AREA RELATED TO CIRCLES

Question | Answer |

1 | c |

2 | a |

3 | c |

4 | a |

5 | a |

# CASE STUDY -2, CHAPTER -12,

# AREA RELATED TO CIRCLES

^{o }

^{o }

^{o }

^{o }

^{}

Question | Answer |

1 | b |

2 | b |

3 | d |

4 | d |

5 | c |

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