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The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is:
- a)66
- b)130
- c)132
- d)196
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The HCF and LCM of two numbers are 33 and 264 respectively. When the f...
Given,
H.C.F = 33
L.C.M = 264
When the first number is divided by 2,then quotient is 33 and remainder is 0.
Let , that number is x.
Using Euclid's Division Lemma ,
=> a = bq + r
=> x = 2 x 33 + 0
=> x = 66
So, one of the number is 66.
Let the another number is a.
Now,
We know that ,
=> H.C.F x L.C.M = Product of no.s
=> 33 x 264 = 66 x a
=> a = ( 33 x 264 ) divide 66
=> a = 132.
Hence , the other number is 132.
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The HCF and LCM of two numbers are 33 and 264 respectively. When the f...
Community Answer
The HCF and LCM of two numbers are 33 and 264 respectively. When the f...
Given information:
- HCF of two numbers = 33
- LCM of two numbers = 264
- Quotient when the first number is divided by 2 = 33
To find:
The other number
Solution:
Step 1: Understanding the HCF and LCM relationship
The highest common factor (HCF) of two numbers is the largest number that divides both numbers without leaving any remainder. The least common multiple (LCM) of two numbers is the smallest number that is divisible by both numbers.
The relationship between HCF and LCM is given by the formula:
HCF × LCM = Product of the two numbers
Step 2: Finding the product of the two numbers
Since the HCF of the two numbers is 33 and the LCM is 264, we can use the formula mentioned above to find the product of the two numbers:
Product of the two numbers = HCF × LCM = 33 × 264 = 8712
Step 3: Determining the first number
Given that the quotient when the first number is divided by 2 is 33, we can conclude that the first number is 2 × 33 = 66.
Step 4: Finding the other number
To find the other number, we divide the product of the two numbers by the first number:
Other number = Product of the two numbers / First number = 8712 / 66 = 132
Therefore, the other number is 132, which corresponds to option C.
- HCF of two numbers = 33
- LCM of two numbers = 264
- Quotient when the first number is divided by 2 = 33
To find:
The other number
Solution:
Step 1: Understanding the HCF and LCM relationship
The highest common factor (HCF) of two numbers is the largest number that divides both numbers without leaving any remainder. The least common multiple (LCM) of two numbers is the smallest number that is divisible by both numbers.
The relationship between HCF and LCM is given by the formula:
HCF × LCM = Product of the two numbers
Step 2: Finding the product of the two numbers
Since the HCF of the two numbers is 33 and the LCM is 264, we can use the formula mentioned above to find the product of the two numbers:
Product of the two numbers = HCF × LCM = 33 × 264 = 8712
Step 3: Determining the first number
Given that the quotient when the first number is divided by 2 is 33, we can conclude that the first number is 2 × 33 = 66.
Step 4: Finding the other number
To find the other number, we divide the product of the two numbers by the first number:
Other number = Product of the two numbers / First number = 8712 / 66 = 132
Therefore, the other number is 132, which corresponds to option C.
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The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is:a)66b)130c)132d)196Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is:a)66b)130c)132d)196Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is:a)66b)130c)132d)196Correct answer is option 'C'. Can you explain this answer?.
The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is:a)66b)130c)132d)196Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is:a)66b)130c)132d)196Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is:a)66b)130c)132d)196Correct answer is option 'C'. Can you explain this answer?.
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