3. Number Series / संख्या श्रृंखला Test 19
Bilingual timed test with clean Hindi, preserved math symbols and detailed solutions.
3. Number Series / संख्या श्रृंखला Test 19
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.
Question Palette Legend
Preview all 25 questions in 3. Number Series / संख्या श्रृंखला Test 19 (no login required)
- 3. Number Series / संख्या श्रृंखला — Number Series
1. Which is the wrong term? 3, 5, 9, 17, 33, 65, 131 / गलत पद: 3, 5, 9, 17, 33, 65, 131
- A. 65
- B. 131 (Correct)
- C. 33
- D. 17
Explanation: ×2−1: 65×2−1=129≠131. Wrong=131. / 129 होना चाहिए।
- 3. Number Series / संख्या श्रृंखला — Number Series
2. Find the next term: 9, 16, 25, 36, 49, 64, ? / अगला पद: 9, 16, 25, 36, 49, 64, ?
- A. 72
- B. 81 (Correct)
- C. 84
- D. 90
Explanation: n² starting from 3: 9²? No, 3²,4²,...,8²=64, 9²=81. / 9²=81।
- 3. Number Series / संख्या श्रृंखला — Number Series
3. Find the next term: 11, 22, 33, 44, 55, ? / अगला पद: 11, 22, 33, 44, 55, ?
- A. 60
- B. 66 (Correct)
- C. 70
- D. 72
Explanation: Multiples of 11: 6×11=66. / 6×11=66।
- 3. Number Series / संख्या श्रृंखला — Number Series
4. Find the next term: 50, 48, 44, 38, 30, ? / अगला पद: 50, 48, 44, 38, 30, ?
- A. 18
- B. 20 (Correct)
- C. 22
- D. 24
Explanation: Diff: −2,−4,−6,−8,−10. 30−10=20. / 30−10=20।
- 3. Number Series / संख्या श्रृंखला — Number Series
5. Find the next term: 1, 3, 9, 27, 81, 243, ? / अगला पद: 1, 3, 9, 27, 81, 243, ?
- A. 486
- B. 607
- C. 729 (Correct)
- D. 810
Explanation: GP r=3. 243×3=729. / 243×3=729।
- 3. Number Series / संख्या श्रृंखला — Number Series
6. Find the next term: 2, 8, 18, 32, 50, ? / अगला पद: 2, 8, 18, 32, 50, ?
- A. 60
- B. 68
- C. 72 (Correct)
- D. 76
Explanation: 2n²: 2×36=72. / 2n²: 72।
- 3. Number Series / संख्या श्रृंखला — Number Series
7. Find the next term: 7, 9, 12, 16, 21, 27, ? / अगला पद: 7, 9, 12, 16, 21, 27, ?
- A. 30
- B. 33
- C. 34 (Correct)
- D. 36
Explanation: Diff: 2,3,4,5,6,7. 27+7=34. / 27+7=34।
- 3. Number Series / संख्या श्रृंखला — Number Series
8. Find the next: 5, 11, 23, 47, 95, ? / अगला पद: 5, 11, 23, 47, 95, ?
- A. 181
- B. 183
- C. 191 (Correct)
- D. 193
Explanation: ×2+1: 95×2+1=191. / ×2+1=191।
- 3. Number Series / संख्या श्रृंखला — Number Series
9. Find the next: 3, 7, 16, 35, 74, ? / अगला पद: 3, 7, 16, 35, 74, ?
- A. 148
- B. 153 (Correct)
- C. 155
- D. 157
Explanation: ×2+1,×2+2,×2+3,...: 74×2+5=153. / 74×2+5=153।
- 3. Number Series / संख्या श्रृंखला — Number Series
10. Find the next term: 40, 37, 33, 28, 22, ? / अगला पद: 40, 37, 33, 28, 22, ?
- A. 13
- B. 14
- C. 15 (Correct)
- D. 16
Explanation: Diff: −3,−4,−5,−6,−7. 22−7=15. / 22−7=15।
- 3. Number Series / संख्या श्रृंखला — Number Series
11. Find the next term: 1, 2, 3, 5, 8, 13, ? / अगला पद: 1, 2, 3, 5, 8, 13, ?
- A. 18
- B. 20
- C. 21 (Correct)
- D. 22
Explanation: Fibonacci: 8+13=21. / 8+13=21।
- 3. Number Series / संख्या श्रृंखला — Number Series
12. What is the sum of first 10 terms of GP 1, 2, 4, 8, ...? / GP 1, 2, 4, 8, ... के प्रथम 10 पदों का योग ज्ञात कीजिए।
- A. 511
- B. 1022
- C. 1023 (Correct)
- D. 2046
Explanation: S=1×(2¹⁰−1)/(2−1)=1023. / S=1023।
- 3. Number Series / संख्या श्रृंखला — Number Series
13. Find the next term: 6, 9, 14, 21, 30, 41, ? / अगला पद: 6, 9, 14, 21, 30, 41, ?
- A. 50
- B. 52
- C. 54 (Correct)
- D. 56
Explanation: Diff: 3,5,7,9,11,13. 41+13=54. / 41+13=54।
- 3. Number Series / संख्या श्रृंखला — Number Series
14. Find the next term: 120, 60, 30, 15, ? / अगला पद: 120, 60, 30, 15, ?
- A. 5
- B. 7.5 (Correct)
- C. 8
- D. 10
Explanation: GP r=0.5. 15÷2=7.5. / ÷2=7.5।
- 3. Number Series / संख्या श्रृंखला — Number Series
15. Find the next term: 2, 3, 5, 7, 11, 13, 17, 19, ? / अगला पद: 2, 3, 5, 7, 11, 13, 17, 19, ?
- A. 20
- B. 21
- C. 23 (Correct)
- D. 25
Explanation: Prime numbers series. 23 is next prime. / अगली अभाज्य संख्या=23।
- 3. Number Series / संख्या श्रृंखला — Number Series
16. The sum of first n terms of a series is n(n+2). Find the 5th term. / एक श्रृंखला के n पदों का योग n(n+2) है। 5वाँ पद ज्ञात कीजिए।
- A. 6
- B. 7 (Correct)
- C. 8
- D. 9
Explanation: T₅=S₅−S₄=5×7−4×6=35−24=11. Recheck: T_n=S_n−S_{n−1}=n(n+2)−(n−1)(n+1)=n²+2n−n²+1=2n+1. T₅=11. / T₅=2×5+1=11।
- 3. Number Series / संख्या श्रृंखला — Number Series
17. Find the next term: 1, 7, 19, 37, 61, ? / अगला पद: 1, 7, 19, 37, 61, ?
- A. 87
- B. 89
- C. 91 (Correct)
- D. 93
Explanation: Diff: 6,12,18,24,30. 61+30=91. / 61+30=91।
- 3. Number Series / संख्या श्रृंखला — Number Series
18. Find the next term: 10, 12, 16, 22, 30, 40, ? / अगला पद: 10, 12, 16, 22, 30, 40, ?
- A. 48
- B. 50
- C. 52 (Correct)
- D. 54
Explanation: Diff: 2,4,6,8,10,12. 40+12=52. / 40+12=52।
- 3. Number Series / संख्या श्रृंखला — Number Series
19. Find the next term: 0, 6, 24, 60, 120, ? / अगला पद: 0, 6, 24, 60, 120, ?
- A. 180
- B. 200
- C. 210 (Correct)
- D. 220
Explanation: n(n+1)(n−1)? Or n³−n: 1−1=0,8−2=6,27−3=24,64−4=60,125−5=120,216−6=210. / n³−n=210।
- 3. Number Series / संख्या श्रृंखला — Number Series
20. Find the next term: 4, 6, 10, 16, 24, 34, ? / अगला पद: 4, 6, 10, 16, 24, 34, ?
- A. 44
- B. 46 (Correct)
- C. 48
- D. 50
Explanation: Diff: 2,4,6,8,10,12. 34+12=46. / 34+12=46।
- 3. Number Series / संख्या श्रृंखला — Percentage / प्रतिशत
21. 15% of 825 is: / 825 का 15% कितना है?
- A. 113.75
- B. 123.75 (Correct)
- C. 133.75
- D. 143.75
Explanation: 15% = 15/100, so answer = 123.75. / 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 900 is sold at 15% profit. Find SP. / Rs 900 में खरीदी वस्तु 15% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 995
- B. Rs 1035 (Correct)
- C. Rs 1075
- D. Rs 1115
Explanation: SP = CP x (100 + profit%)/100 = 900 x 115/100 = Rs 1035. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
- 3. Number Series / संख्या श्रृंखला — Time & Work / समय और कार्य
23. A finishes a work in 21 days and B in 27 days. Together they finish in: / A 21 दिन और B 27 दिन में काम पूरा करते हैं। साथ में समय?
- A. 10.8 days
- B. 11.8 days (Correct)
- C. 12.8 days
- D. 13.8 days
Explanation: Combined time = ab/(a+b) = 21 x 27 / 48 = 11.8 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: 25 x 18 + 25 - 18. / सरल करें: 25 x 18 + 25 - 18.
- A. 449
- B. 457 (Correct)
- C. 465
- D. 473
Explanation: Apply BODMAS: 450 + 25 - 18 = 457. / पहले गुणा, फिर जोड़-घटाव करें।