Apedia Logo Apedia
Join

Choose Language

Select your preferred reading language
🇬🇧
English
✔
🇮🇳
हिन्दी
✔
✕
Full View
Arithmetic
HCF and LCM
EN हिंदी
✕
RRB NTPC Graduate Tier 1 2025 Shift-1 📅 09 Jun, 2025

Deepesh has 168 litres of Oil A and 234 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 Deepesh uses, so that all the oil that Deepesh has, of both the types, can be poured into these containers?

A
6
B
10
C
14
D
26
Result Summary
Logo

APEDIA

RRB NTPC Graduate Tier 1
2025 • 09 Jun, 2025 • Shift-1
Deepesh has 168 litres of Oil A and 234 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 Deepesh uses, so that all the oil that Deepesh has, of both the types, can be poured into these containers?
Correct Answer
6
Mathematical Premise: To find the maximum possible volume of a single identical container that can exactly measure two different liquid volumes without mixing, ......
Ref/Book : RRB NTPC Graduate Tier 1 2025
Ref. Subject Arithmetic
Chapter -
Ref. Topic HCF and LCM
Pg. No -
💡 Analysis & Explanation
Mathematical Premise ▼
To find the maximum possible volume of a single identical container that can exactly measure two different liquid volumes without mixing, we must calculate the Highest Common Factor (HCF) of the two volumes.
Prime Factorization ▼
For Oil A, 168 = 2³ × 3 × 7. For Oil B, 234 = 2 × 3² × 13.
HCF Calculation ▼
The common prime factors are 2 and 3. Taking the lowest power of these common factors gives us 2¹ × 3¹ = 6.
Conclusion ▼
The maximum capacity of each container must be exactly 6 litres.
← Prev
17 / 100
Next →