TAIT TOPIC NO 5 Number Series (Verbal Reasoning)

 

 آئیے Number Series نمبر سیریز) کو تفصیل سے سمجھتے ہیں، خاص طور پر TAIT، CTET، MPSC، یا دیگر competitive exams کے حساب سے۔

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🔢 Number Series – مکمل وضاحت (In Detail)

📘 Number Series کیا ہے؟

Number Series ایسے اعداد کی ترتیب ہوتی ہے جن میں کوئی خاص logic یا pattern ہوتا ہے، جیسے:

• Addition (جمع)
• Subtraction (تفریق)
• Multiplication (ضرب)
• Division (تقسیم)
• Square/ Cube
• Alternate pattern
• Double series
  وغیرہ

آپ کا کام یہ ہوتا ہے کہ:

دی گئی ترتیب کو سمجھ کر اگلا عدد (next number) یا missing number تلاش کریں۔

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🧠 Number Series کے عام اقسام (Types of Patterns)

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🔹 1. Addition / Subtraction Series

Example:
2, 4, 6, 8, ?
✅ Logic: +2
✅ Answer: 10

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🔹 2. Multiplication Series (ضرب)

Example:
2, 4, 8, 16, ?
✅ Logic: ×2
✅ Answer: 32

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🔹 3. Mixed Operations (جمع اور ضرب کا ملاپ)

Example:
2, 5, 10, 17, 26, ?
✅ Logic: +3, +5, +7, +9...
✅ Answer: 37

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🔹 4. Square / Cube Series

Example:
1, 4, 9, 16, 25, ?
✅ Logic: 1², 2², 3², 4², 5²
✅ Answer: 6² = 36

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🔹 5. Alternating Pattern (ایک چھوڑ کر logic)

Example:
5, 10, 6, 12, 7, ?
✅ Logic:
Odd positions: +1 (5, 6, 7...)
Even positions: ×2 (10, 12, ? → 14)
✅ Answer: 14

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🔹 6. Fibonacci Series (جمع کر کے اگلا عدد)

Example:
1, 1, 2, 3, 5, 8, ?
✅ Logic:
n = (n-1) + (n-2)
✅ Answer: 13

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🔹 7. Difference Series (فرق کا pattern)

Example:
2, 3, 5, 8, 12, 17, ?
✅ Difference:
+1, +2, +3, +4, +5
✅ Answer: 23

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🔹 8. Double Series (دو الگ الگ logic)

Example:
1, 3, 2, 5, 3, 7, 4, ?
✅ Odd positions: 1, 2, 3, 4
✅ Even positions: 3, 5, 7, ? → 9
✅ Answer: 9

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🎯 TAIT کی تیاری کے لیے Tips:

🔸 Tips	🔍 Detail
Pattern پہ غور کریں	فرق نکالیں: +, -, ×, ÷, alternate دیکھیں
Start سے سوچیں	2nd اور 3rd number کے بیچ کیا logic ہے؟
Trial and error	جب ایک logic نہ چلے، دوسرا چیک کریں
Notes بنائیں	ہر pattern کے 2-3 example یاد رکھیں
Daily practice کریں	کم از کم 5-10 questions روزانہ حل کریں

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✅ Practice Question:

Question:
3, 6, 12, 24, ?
✅ Logic: ×2
✅ Answer: 48

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Question:
1, 4, 9, 16, ?
✅ Logic: 1², 2², 3², 4²
✅ Answer: 25

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یہ رہے آپ کے لیے Number Series کے 50 پریکٹس سوالات — مختلف patterns پر مبنی جیسے کہ Addition, Subtraction, Multiplication, Division, Square/Cube, Alternate, Fibonacci, Difference series وغیرہ۔

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🔢 Number Series – Practice Questions (1 to 25)

(ہر سوال کا جواب نیچے دیا گیا ہے)

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1.   2, 4, 6, 8, ?
✅ Answer: 10

2.   3, 6, 12, 24, ?
✅ Answer: 48

3.   10, 20, 30, 40, ?
✅ Answer: 50

4.   5, 10, 20, 40, ?
✅ Answer: 80

5.   1, 4, 9, 16, ?
✅ Answer: 25

6.   100, 90, 80, 70, ?
✅ Answer: 60

7.   2, 3, 5, 8, 12, ?
✅ Answer: 17

8.   1, 1, 2, 3, 5, ?
✅ Answer: 8 (Fibonacci)

9.   81, 27, 9, 3, ?
✅ Answer: 1 (÷3)

10.         6, 11, 21, 36, ?
✅ Answer: 56 (+5, +10, +15, +20)

11.         0, 1, 1, 2, 3, ?
✅ Answer: 5 (Fibonacci)

12.         3, 9, 27, 81, ?
✅ Answer: 243

13.         120, 60, 30, 15, ?
✅ Answer: 7.5

14.         1, 8, 27, 64, ?
✅ Answer: 125 (Cube series: 1³, 2³, 3³…)

15.         100, 121, 144, ?
✅ Answer: 169 (Squares: 10², 11²…)

16.         7, 14, 28, 56, ?
✅ Answer: 112

17.         16, 8, 4, 2, ?
✅ Answer: 1

18.         5, 10, 15, 25, 40, ?
✅ Answer: 65 (+5, +5, +10, +15, +25)

19.         3, 6, 11, 18, 27, ?
✅ Answer: 38 (+3, +5, +7, +9, +11)

20.         1000, 500, 250, 125, ?
✅ Answer: 62.5 (÷2)

21.         9, 18, 36, 72, ?
✅ Answer: 144

22.         50, 45, 40, 35, ?
✅ Answer: 30

23.         4, 9, 19, 39, ?
✅ Answer: 79 (+5, +10, +20, +40)

24.         10, 13, 16, 19, ?
✅ Answer: 22

25.         2, 6, 12, 20, 30, ?
✅ Answer: 42 (+4, +6, +8, +10, +12)

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🔢 Number Series – Practice Questions (26 to 50)

26.         11, 22, 44, 88, ?
✅ Answer: 176

27.         60, 30, 15, 7.5, ?
✅ Answer: 3.75

28.         13, 11, 9, 7, ?
✅ Answer: 5

29.         2, 4, 3, 6, 5, 10, ?
✅ Answer: 9 (Alternate +1, ×2)

30.         1, 3, 6, 10, 15, ?
✅ Answer: 21 (Triangular Numbers)

31.         6, 11, 21, 36, 56, ?
✅ Answer: 81 (+5, +10, +15, +20, +25)

32.         90, 80, 70, 60, ?
✅ Answer: 50

33.         121, 100, 81, 64, ?
✅ Answer: 49 (Reverse square numbers)

34.         2, 4, 8, 14, 22, ?
✅ Answer: 32 (+2, +4, +6, +8, +10)

35.         3, 7, 15, 31, 63, ?
✅ Answer: 127 (×2 +1)

36.         8, 4, 2, 1, 0.5, ?
✅ Answer: 0.25 (÷2)

37.         7, 14, 28, 56, 112, ?
✅ Answer: 224

38.         50, 100, 150, 200, ?
✅ Answer: 250

39.         98, 89, 80, 71, ?
✅ Answer: 62 (-9)

40.         1, 3, 7, 15, 31, ?
✅ Answer: 63 (×2 +1)

41.         81, 64, 49, 36, ?
✅ Answer: 25

42.         2, 10, 30, 68, ?
✅ Answer: 130 (+8, +20, +38, +62)

43.         1, 2, 6, 24, 120, ?
✅ Answer: 720 (Factorials: 1!, 2!, 3!...)

44.         19, 17, 14, 10, ?
✅ Answer: 5

45.         100, 50, 25, ?
✅ Answer: 12.5 (÷2)

46.         17, 34, 51, ?
✅ Answer: 68 (+17)

47.         40, 38, 35, 31, ?
✅ Answer: 26 (-2, -3, -4, -5)

48.         2, 3, 5, 7, 11, ?
✅ Answer: 13 (Prime numbers)

49.         20, 25, 15, 20, 10, ?
✅ Answer: 15 (+5, -10, +5…)

50.         3, 6, 18, 72, ?
✅ Answer: 360 (×2, ×3, ×4, ×5)

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