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The HCF and LCM of two numbers are 23 and 460 respectively. If one of the number lies between 93 and 125 then that number is-
- a)94
- b)115
- c)117
- d)114
Correct answer is option 'B'. Can you explain this answer?
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The HCF and LCM of two numbers are 23 and 460 respectively. If one of ...
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The HCF and LCM of two numbers are 23 and 460 respectively. If one of ...
HCF and LCM of two numbers
Given:
HCF = 23
LCM = 460
To find:
One of the numbers between 93 and 125
Approach:
We know that the product of two numbers is equal to the product of their HCF and LCM. So, we can write the equation as:
Product of two numbers = HCF * LCM
Let's assume the two numbers as 'a' and 'b' such that a < />
So, we have:
a * b = 23 * 460
a * b = 10580
Finding the number between 93 and 125:
To find the number between 93 and 125, we need to find the factors of 10580 that lie within this range.
Prime factorizing 10580, we get:
10580 = 2^2 * 5 * 529
Now, we need to find the factors of 10580 that lie between 93 and 125.
Finding the factors of 10580:
The factors of 10580 are:
1, 2, 4, 5, 10, 20, 529, 1058, 2116, 2645, 5290, 10580
Among these factors, the numbers that lie between 93 and 125 are:
105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124
Comparing these numbers with the given options, we can see that the number 115 lies between 93 and 125.
Therefore, the correct answer is option 'B' - 115.
Given:
HCF = 23
LCM = 460
To find:
One of the numbers between 93 and 125
Approach:
We know that the product of two numbers is equal to the product of their HCF and LCM. So, we can write the equation as:
Product of two numbers = HCF * LCM
Let's assume the two numbers as 'a' and 'b' such that a < />
So, we have:
a * b = 23 * 460
a * b = 10580
Finding the number between 93 and 125:
To find the number between 93 and 125, we need to find the factors of 10580 that lie within this range.
Prime factorizing 10580, we get:
10580 = 2^2 * 5 * 529
Now, we need to find the factors of 10580 that lie between 93 and 125.
Finding the factors of 10580:
The factors of 10580 are:
1, 2, 4, 5, 10, 20, 529, 1058, 2116, 2645, 5290, 10580
Among these factors, the numbers that lie between 93 and 125 are:
105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124
Comparing these numbers with the given options, we can see that the number 115 lies between 93 and 125.
Therefore, the correct answer is option 'B' - 115.
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The HCF and LCM of two numbers are 23 and 460 respectively. If one of the number lies between 93 and 125 then that number is-a)94b)115c)117d)114Correct answer is option 'B'. Can you explain this answer?
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The HCF and LCM of two numbers are 23 and 460 respectively. If one of the number lies between 93 and 125 then that number is-a)94b)115c)117d)114Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The HCF and LCM of two numbers are 23 and 460 respectively. If one of the number lies between 93 and 125 then that number is-a)94b)115c)117d)114Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The HCF and LCM of two numbers are 23 and 460 respectively. If one of the number lies between 93 and 125 then that number is-a)94b)115c)117d)114Correct answer is option 'B'. Can you explain this answer?.
The HCF and LCM of two numbers are 23 and 460 respectively. If one of the number lies between 93 and 125 then that number is-a)94b)115c)117d)114Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The HCF and LCM of two numbers are 23 and 460 respectively. If one of the number lies between 93 and 125 then that number is-a)94b)115c)117d)114Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The HCF and LCM of two numbers are 23 and 460 respectively. If one of the number lies between 93 and 125 then that number is-a)94b)115c)117d)114Correct answer is option 'B'. Can you explain this answer?.
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