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Direction: Read the following text and answer the following questions on the basis of the same:
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.
36 can be expressed as a product of its primes as
  • a)
    22 × 32
  • b)
    21 × 33
  • c)
    23 × 31
  • d)
    20 × 30
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: Read the following text and answer the following questions...
Solution : Given : 
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
the product of two positive integers is equal to the product of their HCF and LCM is true

Solution:
To find 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
we need to find LCM of  32 and 36
32 = 2 x 2 x 2 x 2 x 2
36 = 2 x 2 x 3 x 3
LCM =  2 x 2 x 2 x 2 x 2 x 3 x 3
= 288
288  minimum number of books
LCM * HCF  = Product of numbers
288 x HCF  = 32 x 36
=>  HCF  = 4
 HCF (32 , 36)  is 4

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Direction: Read the following text and answer the following questions on the basis of the same: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.36 can be expressed as a product of its primes asa)22 × 32b)21 × 33c)23 × 31d)20 × 30Correct answer is option 'A'. Can you explain this answer?
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Direction: Read the following text and answer the following questions on the basis of the same: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.36 can be expressed as a product of its primes asa)22 × 32b)21 × 33c)23 × 31d)20 × 30Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: Read the following text and answer the following questions on the basis of the same: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.36 can be expressed as a product of its primes asa)22 × 32b)21 × 33c)23 × 31d)20 × 30Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Read the following text and answer the following questions on the basis of the same: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.36 can be expressed as a product of its primes asa)22 × 32b)21 × 33c)23 × 31d)20 × 30Correct answer is option 'A'. Can you explain this answer?.
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