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Direction: Read the following text and answer the following questions on the basis of the same: A garden consists of 135 rose plants planted in certain number of columns. There are another set of 225 marigold plants, which is to be planted in the same number of columns.
Find the sum of exponents of the prime factors of total number of plants.
  • a)
    2
  • b)
    3
  • c)
    5
  • d)
    6
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Direction: Read the following text and answer the following questions...
Total number of plants = 135 + 225 = 360
The prime factors of 360 = 2 × 2 × 2 × 3 × 3 × 5
= 23 × 32 × 51
∴ Sum of exponents = 3 + 2 + 1 = 6.
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Community Answer
Direction: Read the following text and answer the following questions...
Total number of Plants = 360 ( sum of 135 and 225)
Prime factorization of 360 = 3 * 2 * 3 * 2 * 5 * 2
Prime factorization of 360 = 3
2
 * 2
^3 * 
5
So , sum of powers of 3 , 2 and 5 is 6

Therefore correct option is D

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Direction: Read the following text and answer the following questions on the basis of the same: A garden consists of 135 rose plants planted in certain number of columns. There are another set of 225 marigold plants, which is to be planted in the same number of columns.Find the sum of exponents of the prime factors of total number of plants.a)2b)3c)5d)6Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 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: A garden consists of 135 rose plants planted in certain number of columns. There are another set of 225 marigold plants, which is to be planted in the same number of columns.Find the sum of exponents of the prime factors of total number of plants.a)2b)3c)5d)6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 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: A garden consists of 135 rose plants planted in certain number of columns. There are another set of 225 marigold plants, which is to be planted in the same number of columns.Find the sum of exponents of the prime factors of total number of plants.a)2b)3c)5d)6Correct answer is option 'D'. Can you explain this answer?.
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