Answer

Solution

UPSC Prelims

Mathematics

Theme:

LCM AND HCF / लघुत्तम समापवर्त्य एवं महत्तम समापवर्तक

Q12 2020, LCM AND HCF

If you have two straight sticks of length 7.5 feet and 3.25 feet, what is the minimum length can you measure?

यदि आपके पास दो सीधी 7-5 फुट और 3-25 फुट की छड़े हैं, तो आप कम-से-कम कितनी लम्बाई नाप सकते हैं?

Explanation Please wait..

Length of sticks are 7.5 feet ad 3.25 feet

Formula used:

HCF of (A/B) and (C/D) = (HCF of A and C)/(LCM of B and D)

Calculation:

First convert decimal into fraction

⇒ 7.5 = 75/10 = 15/2

⇒ 3.25 = 325/100 = 13/4

Now, minimum length will be measured by HCF of {15/2, 13/4}

⇒ HCF = 1/4 = 0.25

∴ The minimum length can be measured by two stick is 0.25 foot.

व्याख्या Please wait..

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