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Which longest tape can be used to measure exactly the length 7m, 3m 85cm and 12m 95 cm?
- a)45 cm
- b)35 cm
- c)105 cm
- d)70 cm
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Which longest tape can be used to measure exactly the length 7m, 3m 85...
Required length = HCF of 700, 385 and 1295 = 35cm
Most Upvoted Answer
Which longest tape can be used to measure exactly the length 7m, 3m 85...
Explanation:
Given Lengths:
- 7m = 700 cm
- 3m 85cm = 385 cm
- 12m 95cm = 1295 cm
Finding the Greatest Common Divisor (GCD):
To find the longest tape that can measure all three lengths exactly, we need to calculate the Greatest Common Divisor (GCD) of the three lengths.
- GCD of 700, 385, and 1295 = 35
Choosing the Longest Tape:
The longest tape that can measure all three lengths exactly is the tape that has a length equal to the GCD of the given lengths.
Therefore, the longest tape that can measure exactly the lengths 7m, 3m 85cm, and 12m 95cm is 35 cm.
Correct Answer: 35 cm
Given Lengths:
- 7m = 700 cm
- 3m 85cm = 385 cm
- 12m 95cm = 1295 cm
Finding the Greatest Common Divisor (GCD):
To find the longest tape that can measure all three lengths exactly, we need to calculate the Greatest Common Divisor (GCD) of the three lengths.
- GCD of 700, 385, and 1295 = 35
Choosing the Longest Tape:
The longest tape that can measure all three lengths exactly is the tape that has a length equal to the GCD of the given lengths.
Therefore, the longest tape that can measure exactly the lengths 7m, 3m 85cm, and 12m 95cm is 35 cm.
Correct Answer: 35 cm
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Community Answer
Which longest tape can be used to measure exactly the length 7m, 3m 85...
Answer is b
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Which longest tape can be used to measure exactly the length 7m, 3m 85cm and 12m 95 cm?a)45 cmb)35 cmc)105 cmd)70 cmCorrect answer is option 'B'. Can you explain this answer?
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