Divisibility – Verified PYQ Authority Guide
Divisibility is treated here as a focused concept hub. The aim is to show exactly how this concept appears across verified PYQs, which formulas or relationships recur in the solved corpus, and which nearby concepts deserve revision next. Every factual learning cue below is drawn from the existing verified, published and approved English PYQ corpus or from its Knowledge Graph relationships; the hub does not invent unsupported technical claims.
PYQ evidence snapshot
24 verified PYQs are currently mapped to this Concept hub. The represented years include 2025. Exam coverage currently includes RRB NTPC Under Graduate Level. Subject context includes Quantitative Aptitude. These values come from live mappings and can expand automatically when new verified PYQs are added.
Most useful verified PYQs to solve first
Start with the actual questions rather than memorising a generic note. The links below are ranked from the mapped corpus using repeat history and editorial quality, while the complete explanation stays on the individual question page.
- Which of the following numbers are not divisible by 68? ( i ) 17350 ( ii ) 23800 ( iii ) 28560 ( iv )
RRB NTPC Under Graduate Level · 2025
Use the standard Divisibility method and simplify; the result matches ( i ) and ( iv ). - A five-digit number 7549A is divisible by 4 and 3. If it is divided by 12, what will be the remainder?
RRB NTPC Under Graduate Level · 2025
Use the standard Divisibility method and simplify; the result matches 0. - The 7-digit number 12A916B is divisible by 24. What is the maximum value of (A + B)?
RRB NTPC Under Graduate Level · 2025
Use the standard Divisibility method and simplify; the result matches 17. - If the 8-digit number 79243p25 is divisible by 11, then the minimum value of p is:
RRB NTPC Under Graduate Level · 2025
Use the standard Divisibility method and simplify; the result matches 7. - Which single digit should replace the blank in the number 1_36 so that the number is divisible by 9?
RRB NTPC Under Graduate Level · 2025
Use the standard Divisibility method and simplify; the result matches 8. - Which of the following options is the nearest number to 95061 that is divisible by 9?
RRB NTPC Under Graduate Level · 2025
Use the standard Divisibility method and simplify; the result matches 95058. - The 7-digit number 77A444B is divisible by 24. What is the maximum value of (A + B)?
RRB NTPC Under Graduate Level · 2025
Use the standard Divisibility method and simplify; the result matches 16. - What least value must be given to n so that the number 5135n2 becomes divisible by 9?
RRB NTPC Under Graduate Level · 2025
Use the standard Divisibility method and simplify; the result matches 2.
Formula & key-relationship bank from verified solutions
sin²θ + cos²θ = 1; tanθ = sinθ/cosθ; cotθ = 1/tanθ
Use these as revision triggers and open the linked PYQ before applying a formula numerically; variable definitions and assumptions belong to the exact solved question.
Core ideas repeatedly reinforced by the solved corpus
- Use the standard Divisibility method and simplify; the result matches ( i ) and ( iv ).
- Use the standard Divisibility method and simplify; the result matches 0.
- Use the standard Divisibility method and simplify; the result matches 17.
- Use the standard Divisibility method and simplify; the result matches 7.
- Use the standard Divisibility method and simplify; the result matches 8.
Exam tips already validated in SRO solutions
- Identify the Divisibility relationship before calculation and keep units/bases consistent.
Common mistakes to avoid
- Using a shortcut without checking its conditions or using the wrong base/unit.
Topic and concept coverage
Mapped topic labels include Number Properties. The concept trail includes Divisibility. Use these labels as a revision map: move from the broad area to the narrow concept, solve a verified PYQ, inspect the detailed reasoning, and then attempt another question from the same cluster.
Knowledge Graph navigation
Continue with HCF, LCM and Divisibility, Number Properties, Number System, Quantitative Aptitude. These are canonical SRO entity links based on the Knowledge Graph and shared question mappings, not keyword-stuffed tag pages.
How to revise this authority page efficiently
- Solve before reading: answer a mapped PYQ first.
- Read the exact explanation: verify the correct principle, formula, distractor logic and common mistake on that question page.
- Move one level in the graph: use the closest concept/sub-topic/topic link rather than opening unrelated content.
- Reattempt: solve another verified PYQ from this hub and check whether the same error repeats.
Quality scope: this page is automatically maintained from SRO’s verified mapped corpus. It enriches one canonical authority URL instead of generating multiple near-duplicate pages for keyword variants. Manual authority articles are never overwritten by the automated engine.