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Number Series

Numbers ki line dekh ke pattern pakadna — bas ek aadat: pehle antar likho. Upar ke Logic Lab mein slider khiskao aur khud series banao.

⏱ 16 min🧪 3 labs🃏 20 cards✍️ 15 MCQs⚡ +230 XP
Shuru karo →Seedha Quiz
Logic Lab · 4 tools
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AP · GP (×q ± k) · n² / n³ ± k · Antar ka antar

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Notes padho

Saare 6 lessons dekho

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3 labs chalao

Series stepper, antar ya guna, series → agla number

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Flashcards

15 yaad ya saare 20 dekho

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Quiz 11+/15

Poora quiz, 11 sahi

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Chapter complete

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01 — NOTES

Poore notes, ek-ek karke

6 chhote lessons aur labs — padho, phir khud khel ke pakka karo.

00

Introduction — Reasoning ka pehla darwaza

Reasoning ki shuruaat sabse aasan topic se — Number Series. Numbers ki ek line kisi chhupe hue niyam (pattern) se bani hoti hai, aur aapko agla number, beech ka gayab number ya galat number batana hota hai.

CET Group D mein series ke 2–3 sawal lagbhag pakke hote hain — pattern dikh gaya to 10 second mein answer. Yahan ratna kuch nahi, bas ek aadat: "pehle antar likho". Upar Logic Lab mein khud series banao. Pehle ek poora sawal step-by-step dekho:

Lab 1

Series stepper — 3, 7, 15, 31, ?

9 steps

01

4-STEP METHOD ⭐ har series par yahi

StepKya karoKab kaam aata hai
1 · AntarNumbers ke neeche difference likhoAntar fix / badh raha / ghat raha
2 · ×/÷Agla ÷ pichla check karo (×2? ×3?)Numbers tezi se bade ho rahe
3 · Square/Cube1, 4, 9, 16… / 1, 8, 27… ke paas dekhoNumber kisi square/cube ke paas
4 · AlternateEk chhod ke numbers alag karoAntar mein +/− ulti-pulti
Step 1 — hamesha ANTAR likho 581217? +3+4+5+6 Antar har baar 1 badh raha → agla +6 → 17 + 6 = 23
  • 70% series Step 1 (antar) mein hi hal ho jati hain.
  • Antar khud dugna ho raha ho (4, 8, 16…) → rule shayad ×2 ± k hai.
  • Rule ko kam se kam 3–4 numbers par test karo, sirf pehle do par nahi.
02

Series ke 8 types 🔢

TypeExampleNiyam
Fix addition3, 7, 11, 15…+4 har baar
Badhta antar5, 8, 12, 17…+3, +4, +5
Ghatti series100, 92, 83, 73…−8, −9, −10
Multiplication2, 6, 18, 54…×3 har baar
Division120, 60, 20, 5…÷2, ÷3, ÷4
Square / Cube1, 4, 9, 16… / 1, 8, 27…n² / n³
Mixed (×n ± k)3, 7, 15, 31…×2 + 1
Alternate2, 9, 4, 11, 6, 13…Do series mili hui
✏️ Solved — 4, 8, 16, 32, ?Antar 4, 8, 16 — khud dugna → guna ka rule. 8 ÷ 4 = 2, 16 ÷ 8 = 2 → ×2 → 32 × 2 = 64 ✓
✏️ Solved — 100, 92, 83, 73, ?Antar −8, −9, −10 (har baar 1 zyada ghat raha) → agla −11 → 73 − 11 = 62 ✓
✏️ Solved — 2, 9, 4, 11, 6, 13, ?Seedha antar +7, −5, +7, −5 — ulti-pulti → do series. Ek chhod ke: 2, 4, 6 (+2) aur 9, 11, 13 (+2). Ab pehli ki baari → 6 + 2 = 8 ✓
Lab 2

Antar wali ya Guna wali?

12 series
Antar wali + / − ka niyam
Guna wali × / ÷ ka niyam

Upar se koi series chuno, phir sahi dabbe par tap karo.

03

Antar ka antar — do level neeche jao Δ

Kabhi pehla antar bhi fix nahi hota. Tab antar ke neeche phir antar likho — doosre level par pattern mil jata hai.

SeriesAntarAntar ka antarAgla
5, 8, 12, 173, 4, 51, 1 (fix)17 + 6 = 23
6, 12, 21, 336, 9, 123, 3 (fix)33 + 15 = 48
2, 5, 11, 20, 323, 6, 9, 123, 3, 332 + 15 = 47
1, 2, 6, 15, 311, 4, 9, 16antar = squares!31 + 25 = 56
7, 11, 19, 354, 8, 16antar dugna35 + 32 = 67
✏️ Solved — 3, 7, 15, 31, ?Antar 4, 8, 16 (dugna) → ×2 ± k check: 3 × 2 + 1 = 7 ✓, 7 × 2 + 1 = 15 ✓, 15 × 2 + 1 = 31 ✓ → 31 × 2 + 1 = 63 ✓
04

Missing number & Wrong number ⚠️ exam favourite

✏️ Missing — 5, 10, ?, 20, 25Aage se: 10 + 5 = 15 · peeche se: 20 − 5 = 15 — dono match → answer 15 ✓
✏️ Wrong — 4, 9, 16, 24, 36Squares lag rahe: 2², 3², 4², ?, 6². 5² = 25 hona chahiye tha, likha hai 24 → galat number = 24 ✓
  • Beech ka gayab number hamesha dono taraf se verify karo — tabhi pakka.
  • Wrong number: pehle poore niyam ko pakdo, phir jo number niyam tod raha ho wahi answer.
  • Zyadatar pehla number sahi hota hai — niyam usi se banta hai; galti aksar beech mein hoti hai.
05

Kaam ke numbers — ratt lo 📌

KyaNumbers
Squares (1–15)1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
Cubes (1–10)1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
Primes (50 tak = 15)2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
2 ki powers2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
  • Number square/cube ke ekdum paas ho → n² ± 1 ya n³ ± 1: 24 = 25 − 1 · 63 = 64 − 1 · 26 = 27 − 1.
  • Squares ka antar = odd numbers (3, 5, 7, 9…) — ye pehchaan bhi kaam aati hai.
Lab 3

Series → agla number

10 rounds
02 — EXAM

Exam mein kya poochha jata hai

CET mein isi chapter se yahi patterns aate hain.

TYPE 1
"Agla number batao"

4-step method. Antar bada hai to answer bhi bada — bahut chhote option turant cut.

TYPE 2
"Beech ka gayab number"

Dono taraf se check: 5, 10, ?, 20, 25 → 15 (aage +5, peeche −5).

TYPE 3
"Galat number pehchano"

Pehle niyam, phir todne wala: 4, 9, 16, 24, 36 → 24 (25 hona tha).

TYPE 4
"Do series mili hui"

Antar +7, −5, +7… → ek chhod ke alag karo: (2, 4, 6) aur (9, 11, 13).

TYPE 5
"Series ka niyam kya hai?"

Har option ko pehle 2–3 numbers par test karo — jo fit baithe wahi sahi.

03 — TRICKS

Yaad rakhne ki desi tricks

Ratta nahi — connect karke yaad karo.

TRICK 1 · ANTAR
Neeche difference likho

Sawal dekhte hi pencil se antar likh do. 70% series wahin khatam.

TRICK 2 · DUGNA ANTAR
Antar ×2 → rule ×2 ± k

Diffs 4, 8, 16 → +/− chhodo, ×2, ×2 + 1, ×2 − 1 type rule check karo.

TRICK 3 · BADA JUMP
Square/cube ke paas?

24 ≈ 25 − 1 · 63 ≈ 64 − 1 · 26 ≈ 27 − 1 → series shayad n² ± 1 ya n³ ± 1.

TRICK 4 · ULTI-PULTI
+7, −5, +7, −5 → 2 series

Antar mein plus-minus badalta rahe to ek chhod ke numbers alag kar lo — dono aasan nikal aayengi.

TRICK 5 · OPTIONS SE ULTA
Har option ko series mein rakho

Pattern na pakde to har option ko aakhir mein rakh ke antar check karo — jo pattern poora kare wahi sahi. 20 second ka kaam.

04 — COMMON MISTAKES

Yahan marks katte hain

Har card par galat baat likhi hai. Tap karke sach dekho.

✗ GALAT

"3, 6 dekh liya — rule ×2 hai."

tap karo →
✓ SAHI

3, 6, 9, 12 (+3) bhi ho sakti hai! Rule ko 3–4 numbers par test karo.

✗ GALAT

"100, 92, 83, 73 ke baad −7 aayega."

tap karo →
✓ SAHI

Antar −8, −9, −10 — ghatav badh raha hai. Agla −11 → 62.

✗ GALAT

"2, 9, 4, 11 ek hi series hai, antar +7, −5 ka koi matlab nahi."

tap karo →
✓ SAHI

Ulti-pulti antar = do series: (2, 4, 6…) aur (9, 11, 13…).

✗ GALAT

"Gayab number ek taraf se mil gaya — bas ho gaya."

tap karo →
✓ SAHI

Agle se peeche bhi verify karo. Dono match karein tabhi sahi.

✗ GALAT

"Wrong number mein pehla number hi galat hoga."

tap karo →
✓ SAHI

Pehle number se hi niyam banta hai — galti aksar beech mein hoti hai (4, 9, 16, 24, 36).

05 — FLASHCARDS

20 cards, 3D deck

Card par tap karke palto. Next → se agla card, ← Previous se pichhla. Yaad ho gaya to "Yaad hai" dabao — wo card deck se hat jayega. Keyboard: ← → , space (palto), Enter (yaad hai).

06 — REVISION

2-minute revision

Exam se pehle bas ye list. Kuch bhi search karo — "antar", "square", "alternate"…

Series ka pehla stepAntar (difference) likho
4-step orderAntar → ×/÷ → square/cube → alternate
Antar fix haiSimple +/− series (AP)
Antar barabar badh raha+3, +4, +5 type (antar ka antar fix)
Antar khud dugna×2 ya ×2 ± k ka rule
Numbers tezi se bade×3, ×4 ya square/cube
Number square ke paasn² ± 1
Antar mein +/− badaltaAlternate — 2 series
Beech ka gayabDono taraf se verify
Galat numberNiyam pakdo → todne wala dhundo
Kuch samajh na aayeOptions ko test karo
Squares yaad1 … 225 (15 tak)
Cubes yaad1 … 1000 (10 tak)
50 tak primes15 (2 … 47)
3, 7, 15, 31 ka rule×2 + 1 → 63
120, 60, 20, 5 ka rule÷2, ÷3, ÷4, ÷5 → 1
07 — QUIZ

Practice MCQs — game mode

15 exam-style questions (PYQ wale tagged hain), ek-ek karke — koi question nahi aata to Skip karke aage badho. Har sahi answer +5 XP, lagatar sahi par combo. 11+ laao aur quiz mission complete karo.

08 — SUMMARY

Poora chapter, ek paragraph mein

Number series ka poora khel 4-STEP METHOD par hai: pehle antar likho → na mile to ×/÷ check karo → phir square/cube ke aas-paas dekho → aakhir mein alternate (ek chhod ke) numbers. Antar bhi fix na ho to antar ka antar nikaalo; antar khud dugna ho to rule ×2 ± k hai. Beech ka gayab number hamesha dono taraf se verify karo, aur wrong-number mein pehle niyam pakdo phir todne wala. Squares (1–225), cubes (1–1000) aur primes (2–47) ratt lo — aur kuch na sujhe to options ko hi series mein rakh ke test kar lo! 🚀

Chapter khatam?

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