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Mathematics
HCF and LCM
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NTPC Graduate Tier 1 2025 Shift-2 📅 05 Jun, 2025

Rajesh has 156 litres of Oil A and 256 litres of Oil B. He fills a number of identical containers with the two types of oil in a manner that each container has only one type of oil, and all containers are completely filled. What can be the maximum volume (in litres) of each container that Rajesh uses, so that all the oil that Rajesh has, of both the types, can be poured into these containers?

A
13
B
4
C
10
D
6
Result Summary
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NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-2
Rajesh has 156 litres of Oil A and 256 litres of Oil B. He fills a number of identical containers with the two types of oil in a manner that each container has only one type of oil, and all containers are completely filled. What can be the maximum volume (in litres) of each container that Rajesh uses, so that all the oil that Rajesh has, of both the types, can be poured into these containers?
Correct Answer
4
Concept Identification: To find the maximum capacity of a container that can exactly measure two distinct quantities without mixing them, we must calculate thei......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Mathematics
Chapter -
Ref. Topic HCF and LCM
Pg. No -
💡 Analysis & Explanation
Concept Identification ▼
To find the maximum capacity of a container that can exactly measure two distinct quantities without mixing them, we must calculate their Highest Common Factor (HCF).
Prime Factorization Phase ▼
Factorize 156: 156 = 2 * 78 = 2² * 3 * 13. Next, factorize 256: 256 = 2⁸.
HCF Extraction ▼
Compare the prime factors. The only common base is 2. The lowest power of the common prime factor 2 present in both numbers is 2².
Final Computation ▼
HCF = 2² = 4.
Conclusion ▼
The maximum identical volume for each container is exactly 4 litres.
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