REAL NUMBERS- CASE STUDY
CASE STUDY 1.
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
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
, 3. 36 can be expressed as a product of its primes as
a)
b)
c)
d)
4. 7 is a
a) Prime number
b) Composite number
c) Neither prime nor composite
d) None of the above
5. If p and q are positive integers such that p = a and q= b, where a , b are
prime numbers, then the LCM (p, q) is
a) ab
b)
c)
d)
1. c) 288
2. b) 4
3. a)
4. b) composite number
5. b)
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
2. What is the minimum number of rooms required during the event?
a) 11
b) 31
c) 41
d) 21
3. The LCM of 60, 84 and 108 is
a) 3780
b) 3680
c) 4780
d) 4680
4. The product of HCF and LCM of 60,84 and 108 is
a) 55360
b) 35360
c) 45500
d) 45360
5. 108 can be expressed as a product of its primes as
a)
b)
c)
d)
1. b) 12
2. d) 21
3. a)
4. d)45360
5. d)
, 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.
Observe the following factor tree and answer the following:
x
5 2783
y 253
11 z
1. What will be the value of x?
a) 15005
b) 13915
c) 56920
d) 17429
2. What will be the value of y?
a) 23
b) 22
c) 11
d) 19
3. What will be the value of z?
a) 22
b) 23
c) 17
d) 19
CASE STUDY 1.
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
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
, 3. 36 can be expressed as a product of its primes as
a)
b)
c)
d)
4. 7 is a
a) Prime number
b) Composite number
c) Neither prime nor composite
d) None of the above
5. If p and q are positive integers such that p = a and q= b, where a , b are
prime numbers, then the LCM (p, q) is
a) ab
b)
c)
d)
1. c) 288
2. b) 4
3. a)
4. b) composite number
5. b)
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
2. What is the minimum number of rooms required during the event?
a) 11
b) 31
c) 41
d) 21
3. The LCM of 60, 84 and 108 is
a) 3780
b) 3680
c) 4780
d) 4680
4. The product of HCF and LCM of 60,84 and 108 is
a) 55360
b) 35360
c) 45500
d) 45360
5. 108 can be expressed as a product of its primes as
a)
b)
c)
d)
1. b) 12
2. d) 21
3. a)
4. d)45360
5. d)
, 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.
Observe the following factor tree and answer the following:
x
5 2783
y 253
11 z
1. What will be the value of x?
a) 15005
b) 13915
c) 56920
d) 17429
2. What will be the value of y?
a) 23
b) 22
c) 11
d) 19
3. What will be the value of z?
a) 22
b) 23
c) 17
d) 19
