Remainder – Verified PYQ Authority Guide
Remainder 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
19 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.
- Find the greatest number that will divide 186, 321 and 402 so as to leave the same remainder in each case.
RRB NTPC Under Graduate Level · 2025
Use the standard Remainder method and simplify; the result matches 27. - A positive integer N divides 228, leaving a remainder of 18. What is the greatest two-digit value of N?
RRB NTPC Under Graduate Level · 2025
Use the standard Remainder method and simplify; the result matches 70. - Find the smallest positive integer that leaves a remainder of 2 when divided by 3, a remainder of 3 when divided by 4, and a remainder of 4 when divided by 5.
RRB NTPC Under Graduate Level · 2025
Use the standard Remainder method and simplify; the result matches 59. - The L.C.M. of two numbers is 210 and their H.C.F. is 3. If the first number is divided by 3, the quotient is 7 and the remainder is 0. The second number…
RRB NTPC Under Graduate Level · 2025
Use the standard Remainder method and simplify; the result matches 30. - Nisha noted the number 76488 in her register. What is the remainder when it is divided by 8?
RRB NTPC Under Graduate Level · 2025
Use the standard Remainder method and simplify; the result matches 0. - The largest four-digit number which when divided by 12, 13 and 7 leaves remainder 3 in each case is:
RRB NTPC Under Graduate Level · 2025
Use the standard Remainder method and simplify; the result matches 9831. - A number leaves a remainder of 2 when divided by 5 and a remainder of 3 when divided by 7. What is the smallest positive integer that satisfies both conditions?
RRB NTPC Under Graduate Level · 2025
Use the standard Remainder method and simplify; the result matches 17. - Find the smallest number which when divided by 9, 12 and 15 leaves a remainder 3 in each case.
RRB NTPC Under Graduate Level · 2025
Use the standard Remainder method and simplify; the result matches 183.
Core ideas repeatedly reinforced by the solved corpus
- Use the standard Remainder method and simplify; the result matches 27.
- Use the standard Remainder method and simplify; the result matches 70.
- Use the standard Remainder method and simplify; the result matches 59.
- Use the standard Remainder method and simplify; the result matches 30.
- Use the standard Remainder method and simplify; the result matches 0.
Exam tips already validated in SRO solutions
- Identify the Remainder 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 Remainder. 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.