give a case study of class 10 ch1 maths
Answers
3 Case Based Questions on ch 1.
Case Study Questions for Class 10 Maths 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.
1. 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
Answer: c) 288
2. 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
Answer: b) 4
3. 36 can be expressed as a product of its primes as
a) 22 × 32
b) 21 × 33
c) 23 × 31
d) 20 × 30
Answer: a) 22 × 32
4. 7 × 11 × 13 × 15 + 15 is a
a) Prime number
b) Composite number
c) Neither prime nor composite
d) None of the above
Answer: b) Composite number
5. If p and q are positive integers such that p = ab2 and q= a2b, where a , b are prime numbers, then the LCM (p, q) is
a) ab
b) a2b2
c) a3b2
d) a3b3
Answer: b) a2b2
CASE STUDY 2:
A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.
1. In each room the same number of participants are to be seated and all of them being in the same subject, hence maximum number participants that can accommodated in each room are
a) 14
b) 12
c) 16
d) 18
Answer: b) 12
2. What is the minimum number of rooms required during the event?
a) 11
b) 31
c) 41
d) 21
Answer: d) 21
3. The LCM of 60, 84 and 108 is
a) 3780
b) 3680
c) 4780
d) 4680
Answer: a) 3780
4. The product of HCF and LCM of 60,84 and 108 is
a) 55360
b) 35360
c) 45500
d) 45360
Answer: d) 45360
5. 108 can be expressed as a product of its primes as
a) 23 × 32
b) 23 × 33
c) 22 × 32
d) 22 × 33
Answer: d) 22 × 33
CASE STUDY 3:
A Mathematics Exhibition is being conducted in your School and one of your friends is making a model of a factor tree. He has some difficulty and asks for your help in completing a quiz for the audience.
Jagranjosh
Observe the following factor tree and answer the following:
1. What will be the value of x?
a) 15005
b) 13915
c) 56920
d) 17429
Answer: b) 13915
2. What will be the value of y?
a) 23
b) 22
c) 11
d) 19
Answer: c) 11
3. What will be the value of z?
a) 22
b) 23
c) 17
d) 19
Answer: b) 23
4. According to Fundamental Theorem of Arithmetic 13915 is a
a) Composite number
b) Prime number
c) Neither prime nor composite
d) Even number
Answer: a) Composite number
5. The prime factorisation of 13915 is
a) 5 × 113 × 132
b) 5 × 113 × 232
c) 5 × 112 × 23
d) 5 × 112 × 132
Answer: c) 5 × 112 × 132
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Answer:
CASE STUDY 1:
In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD, 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Preet runs 1/5th distance AD on the eighth line and posts a red flag.

1. Find the position of green flag
a) (2,25)
b) (2,0.25)
c) (25,2)
d) (0, -25)
Answer: a) (2,25)
2. Find the position of red flag
a) (8,0)
b) (20,8)
c) (8,20)
d) (8,0.2)
Answer: c) (8,20)
3. What is the distance between both the flags?
a) √41
b) √11
c) √61
d) √51
Answer: c) √61
4. If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
a) (5, 22.5)
b) (10,22)
c) (2,8.5)
d) (2.5,20)
Answer: a) (5, 22.5)
5. If Joy has to post a flag at one-fourth distance from green flag , in the line segment joining the green and red flags, then where should he post his flag?
a) (3.5,24)
b) (0.5,12.5)
c) (2.25,8.5)
d) (25,20)
Answer: a) (3.5,24)
CASE STUDY 2:
The class X students school in krishnagar have been allotted a rectangular plot of land for their gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is triangular grassy lawn in the plot as shown in the figure. The students are to sow seeds of flowering plants on the remaining area of the plot.
1. Taking A as origin, find the coordinates of Pa) (4,6)
b) (6,4)
c) (0,6)
d) (4,0)
Answer: a) (4,6)
2. What will be the coordinates of R, if C is the origin?
a) (8,6)
b) (3,10)
c) (10,3)
d) (0,6)
Answer: c) (10,3)
3. What will be the coordinates of Q, if C is the origin?
a) (6,13)
b) b) (-6,13)
c) (-13,6)
d) (13,6)
Answer: d) (13,6)
4. Calculate the area of the triangles if A is the origin
a) 4.5
b) 6
c) 8
d) 6.25
Answer: a) 4.5
5. Calculate the area of the triangles if C is the origin
a) 8
b) 5
c) 6.25
d) 4.5
Answer: d) 4.5