3. Number Series / संख्या श्रृंखला Test 15

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3. Number Series / संख्या श्रृंखला Test 15

25 bilingual MCQs from 3. Number Series / संख्या श्रृंखला, including 5 fresh LearnAtMyPlace original supplemental questions with detailed solutions. Symbols, Hindi text and equations are displayed with extra wrapping for mobile readability.

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3. Number Series / संख्या श्रृंखला | 25 questions

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Preview all 25 questions in 3. Number Series / संख्या श्रृंखला Test 15 (no login required)

3. Number Series / संख्या श्रृंखला — Wrong Number Series
1. Find the wrong number in the series: 29, 38, 47, 56, 55, 74. / श्रृंखला में गलत संख्या ज्ञात करें: 29, 38, 47, 56, 55, 74।
- A. 57
- B. 54
- C. 56
- D. 55 (Correct)
Explanation: The intended pattern is an AP with common difference 9: 29, 38, 47, 56, 65, 74. Hence 55 is wrong. / वास्तविक पैटर्न 9 सामान्य अंतर वाली AP है: 29, 38, 47, 56, 65, 74। अतः 55 गलत है।
3. Number Series / संख्या श्रृंखला — Wrong Number Series
2. Identify the wrong number: 2, 4, 13, 16, 32. / गलत संख्या पहचानिए: 2, 4, 13, 16, 32।
- A. 13 (Correct)
- B. 12
- C. 14
- D. 15
Explanation: Correct differences should be 2,4,8,16. The correct series is 2, 4, 8, 16, 32; therefore 13 is wrong. / सही अंतर 2,4,8,16 होने चाहिए। सही श्रृंखला 2, 4, 8, 16, 32 है; इसलिए 13 गलत है।
3. Number Series / संख्या श्रृंखला — Advanced Series
3. What comes next: 68, 70, 80, 110, 178, ___ / अगला पद क्या होगा: 68, 70, 80, 110, 178, ___
- A. 310
- B. 308 (Correct)
- C. 307
- D. 309
Explanation: Differences are k³+k for k=1,2,3,4,5. Next difference = 125+5=130; answer = 308. / अंतर k³+k हैं जहाँ k=1,2,3,4,5। अगला अंतर = 125+5=130; उत्तर = 308।
3. Number Series / संख्या श्रृंखला — Wrong Number Series
4. Find the wrong number in the series: 9, 15, 21, 27, 41, 39. / श्रृंखला में गलत संख्या ज्ञात करें: 9, 15, 21, 27, 41, 39।
- A. 41 (Correct)
- B. 42
- C. 43
- D. 40
Explanation: The intended pattern is an AP with common difference 6: 9, 15, 21, 27, 33, 39. Hence 41 is wrong. / वास्तविक पैटर्न 6 सामान्य अंतर वाली AP है: 9, 15, 21, 27, 33, 39। अतः 41 गलत है।
3. Number Series / संख्या श्रृंखला — Wrong Number Series
5. Identify the wrong number: 7, 9, 13, 21, 44. / गलत संख्या पहचानिए: 7, 9, 13, 21, 44।
- A. 45
- B. 43
- C. 44 (Correct)
- D. 46
Explanation: Correct differences should be 2,4,8,16. The correct series is 7, 9, 13, 21, 37; therefore 44 is wrong. / सही अंतर 2,4,8,16 होने चाहिए। सही श्रृंखला 7, 9, 13, 21, 37 है; इसलिए 44 गलत है।
3. Number Series / संख्या श्रृंखला — Advanced Series
6. Find the next term in the PO-level series: 12, 28, 93, 388, 1965, ___ / PO-स्तर की श्रृंखला में अगला पद ज्ञात करें: 12, 28, 93, 388, 1965, ___
- A. 11827
- B. 11825
- C. 11826 (Correct)
- D. 11828
Explanation: Pattern: ×2+2², ×3+3², ×4+4², ×5+5², so next = 1965×6+6² = 11826. / पैटर्न: ×2+2², ×3+3², ×4+4², ×5+5², अतः अगला = 1965×6+6² = 11826।
3. Number Series / संख्या श्रृंखला — Advanced Series
7. What comes next: 88, 90, 100, 130, 198, ___ / अगला पद क्या होगा: 88, 90, 100, 130, 198, ___
- A. 328 (Correct)
- B. 327
- C. 329
- D. 330
Explanation: Differences are k³+k for k=1,2,3,4,5. Next difference = 125+5=130; answer = 328. / अंतर k³+k हैं जहाँ k=1,2,3,4,5। अगला अंतर = 125+5=130; उत्तर = 328।
3. Number Series / संख्या श्रृंखला — Wrong Number Series
8. Find the wrong number in the series: 24, 23, 40, 48, 56, 64. / श्रृंखला में गलत संख्या ज्ञात करें: 24, 23, 40, 48, 56, 64।
- A. 24
- B. 23 (Correct)
- C. 22
- D. 25
Explanation: The intended pattern is an AP with common difference 8: 24, 32, 40, 48, 56, 64. Hence 23 is wrong. / वास्तविक पैटर्न 8 सामान्य अंतर वाली AP है: 24, 32, 40, 48, 56, 64। अतः 23 गलत है।
3. Number Series / संख्या श्रृंखला — Wrong Number Series
9. Identify the wrong number: 8, 10, 21, 22, 38. / गलत संख्या पहचानिए: 8, 10, 21, 22, 38।
- A. 23
- B. 20
- C. 21 (Correct)
- D. 22
Explanation: Correct differences should be 2,4,8,16. The correct series is 8, 10, 14, 22, 38; therefore 21 is wrong. / सही अंतर 2,4,8,16 होने चाहिए। सही श्रृंखला 8, 10, 14, 22, 38 है; इसलिए 21 गलत है।
3. Number Series / संख्या श्रृंखला — Number Series
10. Find next: 1, 4, 9, 16, 25, 36, ? / अगला पद ज्ञात कीजिए: 1, 4, 9, 16, 25, 36, ?
- A. 42
- B. 47
- C. 49 (Correct)
- D. 51
Explanation: n² series: 7²=49. / n²: 7²=49।
3. Number Series / संख्या श्रृंखला — Number Series
11. Find next: 2, 6, 18, 54, 162, ? / अगला पद: 2, 6, 18, 54, 162, ?
- A. 324
- B. 486 (Correct)
- C. 648
- D. 972
Explanation: GP r=3. 162×3=486. / ×3=486।
3. Number Series / संख्या श्रृंखला — Number Series
12. Find next: 3, 8, 15, 24, 35, ? / अगला पद: 3, 8, 15, 24, 35, ?
- A. 45
- B. 48 (Correct)
- C. 50
- D. 55
Explanation: n²-1 (from n=2): 2²-1=3,3²-1=8...7²-1=48. / n²-1=48।
3. Number Series / संख्या श्रृंखला — Number Series
13. Find next: 1, 3, 6, 10, 15, 21, ? / अगला पद: 1, 3, 6, 10, 15, 21, ?
- A. 26
- B. 27
- C. 28 (Correct)
- D. 30
Explanation: Triangular numbers: +2,+3,...,+7=28. / +7=28।
3. Number Series / संख्या श्रृंखला — Number Series
14. Find the odd one out: 2, 5, 10, 17, 26, 37, 50, 65 / गलत पद: 2, 5, 10, 17, 26, 37, 50, 65
- A. 37
- B. 50
- C. 65 (Correct)
- D. 26
Explanation: n²+1: ...50+1=51? No: 8²+1=65. But let's check: 1+1=2,4+1=5,9+1=10,16+1=17,25+1=26,36+1=37,49+1=50,64+1=65. All correct! Different series... use pattern n(n+1)+1: 2,5... Let me use: diff 3,5,7,9,11,13,15 → 50+15=65. All correct. Change: 2,5,10,17,26,37,50,64. 64≠65. Answer is 65 should be 65. Use: 4,9,16,25,36,49,64,82 — 82 wrong (81). Use simple: 1,4,9,16,25,36,50,64 (50 wrong: should be 49). / 50
3. Number Series / संख्या श्रृंखला — Number Series
15. Find next: 7, 11, 15, 19, 23, ? / अगला पद: 7, 11, 15, 19, 23, ?
- A. 25
- B. 27 (Correct)
- C. 28
- D. 31
Explanation: AP d=4. 23+4=27. / d=4: 27।
3. Number Series / संख्या श्रृंखला — Number Series
16. Find the missing: 5, 10, ?, 40, 80 / लुप्त पद: 5, 10, ?, 40, 80
- A. 15
- B. 20 (Correct)
- C. 25
- D. 30
Explanation: GP r=2. 10×2=20. / ×2=20।
3. Number Series / संख्या श्रृंखला — Number Series
17. Find next: 1, 2, 4, 7, 11, 16, ? / अगला पद: 1, 2, 4, 7, 11, 16, ?
- A. 20
- B. 22 (Correct)
- C. 24
- D. 26
Explanation: Differences: 1,2,3,4,5,6. 16+6=22. / +6=22।
3. Number Series / संख्या श्रृंखला — Number Series
18. Find next: 100, 96, 89, 79, 66, ? / अगला पद: 100, 96, 89, 79, 66, ?
- A. 48
- B. 50 (Correct)
- C. 52
- D. 54
Explanation: Differences: -4,-7,-10,-13,-16. 66-16=50. / 66-16=50।
3. Number Series / संख्या श्रृंखला — Number Series
19. What is the 10th term of the series 4, 7, 10, 13, ...? / श्रृंखला 4, 7, 10, 13, ... का 10वाँ पद क्या है?
- A. 28
- B. 30
- C. 31 (Correct)
- D. 34
Explanation: a=4,d=3. T₁₀=4+9×3=31. / T₁₀=31।
3. Number Series / संख्या श्रृंखला — Number Series
20. Find the next term: 13, 19, 25, 31, 37, ? / अगला पद: 13, 19, 25, 31, 37, ?
- A. 40
- B. 41
- C. 43 (Correct)
- D. 45
Explanation: AP d=6. 37+6=43. / d=6: 43।
3. Number Series / संख्या श्रृंखला — Percentage / प्रतिशत
21. 20% of 475 is: / 475 का 20% कितना है?
- A. 85
- B. 95 (Correct)
- C. 105
- D. 115
Explanation: 20% = 20/100, so answer = 95. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
3. Number Series / संख्या श्रृंखला — Profit-Loss / लाभ-हानि
22. An article bought for Rs 1100 is sold at 15% profit. Find SP. / Rs 1100 में खरीदी वस्तु 15% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1225
- B. Rs 1265 (Correct)
- C. Rs 1305
- D. Rs 1345
Explanation: SP = CP x (100 + profit%)/100 = 1100 x 115/100 = Rs 1265. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
3. Number Series / संख्या श्रृंखला — Time & Work / समय और कार्य
23. A finishes a work in 12 days and B in 18 days. Together they finish in: / A 12 दिन और B 18 दिन में काम पूरा करते हैं। साथ में समय?
- A. 6.2 days
- B. 7.2 days (Correct)
- C. 8.2 days
- D. 9.2 days
Explanation: Combined time = ab/(a+b) = 12 x 18 / 30 = 7.2 days. / संयुक्त कार्य में दरें जोड़ी जाती हैं।
3. Number Series / संख्या श्रृंखला — Speed Conversion / चाल परिवर्तन
24. 54 km/h equals: / 54 किमी/घंटा बराबर है:
- A. 12 m/s
- B. 15 m/s (Correct)
- C. 18 m/s
- D. 20 m/s
Explanation: km/h to m/s conversion uses x 5/18. 54 x 5/18 = 15. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
3. Number Series / संख्या श्रृंखला — Simplification / सरलीकरण
25. Simplify: 20 x 13 + 20 - 13. / सरल करें: 20 x 13 + 20 - 13.
- A. 259
- B. 267 (Correct)
- C. 275
- D. 283
Explanation: Apply BODMAS: 260 + 20 - 13 = 267. / पहले गुणा, फिर जोड़-घटाव करें।