Question

19.
Section D
Read the case study based questions carefully and answer any four out ofthe following: 14
As we know cleanliness leads to good health and orderliness makes a person better organized
in life. To maintain good habits and awareness about the environment schools and co-study
the school ABC contains books on environment and cleanliness that are placed in the front
shelf, there are three sets of English, Hindi, and Sociology books dealing with cleanliness these
are stacked in such a way that all books are stored topic wise and the height of each stack is
the same. The number of English books is 96 the number of Hindi books is 240 and the
number of Sociology books is 336.
i. Which Mathematical concept is used in this problem of placing the numbers of books?
a. LCM
7
b. HCF
C Both HCF and LCM
d. None of these
ii. LCM of 96, 240, 336 is
a. 3360
b. 3630
c. 363
d. 630
iii. Assuming that the books are of the same thickness, determine the number of stacks of
English, Hindi, and Sociology books respectively
a. 7,5,2
b. 5, 2,7
C. 2,5,7
d. 2, 7,5
2.​

Answer 1

Answer:

Ans a) HCF

Ans b) 3360

Ans c) 257

Step-by-step explanation:

its a correct answer

Answer 2

Read the case study based questions carefully and answer any four out of the following:

1. The correct answer is (b).

To arrange all the books in an order that divides the books of all three subjects equally, we need to find their common factor. This is their HCF.

HCF of 96, 240, 336

96 = 2*2*2*2*2*3

240 = 2*2*2*2*3*5

336 = 2*2*2*2*3*7

Then, HCF = 2*2*2*2*3 = 48

2. The correct answer is (a).

To find the LCM, we multiply all the prime factors together.

LCM = 3360

3. The correct answer is (c).

To find the number of stacks of each subject, we divide the total number of books of each subject by their HCF.

Number of stacks for English = 96/48 = 2

Number of stacks for Hindi = 240/48 = 5

Number of stacks for Sociology = 336/48 = 7

So the correct answer is 2,5,7.

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