3. Number Series / संख्या श्रृंखला Test 17
Bilingual timed test with clean Hindi, preserved math symbols and detailed solutions.
3. Number Series / संख्या श्रृंखला Test 17
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 — Number Series
1. The 3rd term of a GP is 18 and 6th term is 486. Find the common ratio. / GP का 3वाँ पद 18 और 6वाँ पद 486 है। सार्व अनुपात ज्ञात कीजिए।
- A. 2
- B. 3 (Correct)
- C. 4
- D. 6
Explanation: r³=486/18=27→r=3. / r³=27→r=3।
- 3. Number Series / संख्या श्रृंखला — Number Series
2. Find the sum of 5 terms of GP: 2, 4, 8, 16, 32. / GP 2, 4, 8, 16, 32 के 5 पदों का योग ज्ञात कीजिए।
- A. 58
- B. 60
- C. 62 (Correct)
- D. 64
Explanation: S=2(2⁵−1)/(2−1)=62. / S=62।
- 3. Number Series / संख्या श्रृंखला — Number Series
3. Find the next term: 729, 243, 81, 27, 9, ? / अगला पद: 729, 243, 81, 27, 9, ?
- A. 1
- B. 3 (Correct)
- C. 5
- D. 6
Explanation: GP r=1/3. 9÷3=3. / ÷3=3।
- 3. Number Series / संख्या श्रृंखला — Number Series
4. If the first term of a GP is 5 and ratio is 2, what is the 8th term? / GP का पहला पद 5 और अनुपात 2 है। 8वाँ पद क्या है?
- A. 320
- B. 480
- C. 560
- D. 640 (Correct)
Explanation: T₈=5×2⁷=640. / 5×128=640।
- 3. Number Series / संख्या श्रृंखला — Number Series
5. Find the next term: 4, 16, 36, 64, 100, ? / अगला पद: 4, 16, 36, 64, 100, ?
- A. 121
- B. 128
- C. 144 (Correct)
- D. 169
Explanation: (2n)²: 2²,4²,6²,8²,10²,12²=144. / 12²=144।
- 3. Number Series / संख्या श्रृंखला — Number Series
6. Find the next term: 8, 27, 64, 125, 216, ? / अगला पद: 8, 27, 64, 125, 216, ?
- A. 289
- B. 311
- C. 343 (Correct)
- D. 361
Explanation: Cubes: 2³,3³,...,7³=343. / 7³=343।
- 3. Number Series / संख्या श्रृंखला — Number Series
7. Find the next term: 1, 4, 9, 25, 49, ? / अगला पद: 1, 4, 9, 25, 49, ?
- A. 81
- B. 100
- C. 121 (Correct)
- D. 144
Explanation: Squares of primes: 1²,2²,3²,5²,7²,11²=121. / 11²=121।
- 3. Number Series / संख्या श्रृंखला — Number Series
8. Find the next term: 2, 9, 28, 65, 126, ? / अगला पद: 2, 9, 28, 65, 126, ?
- A. 185
- B. 197
- C. 215
- D. 217 (Correct)
Explanation: n³+1: 1+1,8+1,27+1,64+1,125+1,216+1=217. / n³+1=217।
- 3. Number Series / संख्या श्रृंखला — Number Series
9. Find the next term: 3, 10, 29, 66, 127, ? / अगला पद: 3, 10, 29, 66, 127, ?
- A. 196
- B. 214
- C. 218 (Correct)
- D. 225
Explanation: n³+2: 1+2,8+2,...,216+2=218. / n³+2=218।
- 3. Number Series / संख्या श्रृंखला — Number Series
10. Find the next term: 0, 7, 26, 63, 124, ? / अगला पद: 0, 7, 26, 63, 124, ?
- A. 210
- B. 215 (Correct)
- C. 217
- D. 219
Explanation: n³−1: 1−1,8−1,...,216−1=215. / n³−1=215।
- 3. Number Series / संख्या श्रृंखला — Number Series
11. Find the next term: 2, 5, 10, 17, 26, 37, ? / अगला पद: 2, 5, 10, 17, 26, 37, ?
- A. 48
- B. 50 (Correct)
- C. 52
- D. 54
Explanation: n²+1: 7²+1=50. / 7²+1=50।
- 3. Number Series / संख्या श्रृंखला — Number Series
12. Find the next term: 1, 5, 13, 25, 41, ? / अगला पद: 1, 5, 13, 25, 41, ?
- A. 57
- B. 59
- C. 61 (Correct)
- D. 63
Explanation: Differences: 4,8,12,16,20. 41+20=61. / 41+20=61।
- 3. Number Series / संख्या श्रृंखला — Number Series
13. Find the next term: 3, 12, 27, 48, 75, ? / अगला पद: 3, 12, 27, 48, 75, ?
- A. 96
- B. 99
- C. 108 (Correct)
- D. 112
Explanation: 3n²: 3×1,3×4,...,3×36=108. / 3×36=108।
- 3. Number Series / संख्या श्रृंखला — Number Series
14. Find the next: 1, 9, 25, 49, 81, ? / अगला पद: 1, 9, 25, 49, 81, ?
- A. 100
- B. 110
- C. 121 (Correct)
- D. 125
Explanation: Odd squares: 1²,3²,5²,...,11²=121. / 11²=121।
- 3. Number Series / संख्या श्रृंखला — Number Series
15. Find the next term: 1, 1, 2, 3, 5, 8, 13, 21, ? / अगला पद: 1, 1, 2, 3, 5, 8, 13, 21, ?
- A. 28
- B. 30
- C. 34 (Correct)
- D. 35
Explanation: Fibonacci: 13+21=34. / 13+21=34।
- 3. Number Series / संख्या श्रृंखला — Number Series
16. Find the next term: 3, 5, 8, 13, 21, 34, ? / अगला पद: 3, 5, 8, 13, 21, 34, ?
- A. 51
- B. 54
- C. 55 (Correct)
- D. 58
Explanation: Fibonacci-like: 21+34=55. / 21+34=55।
- 3. Number Series / संख्या श्रृंखला — Number Series
17. Find the next term: 2, 3, 5, 9, 17, 33, ? / अगला पद: 2, 3, 5, 9, 17, 33, ?
- A. 55
- B. 60
- C. 61
- D. 65 (Correct)
Explanation: Each term = 2×prev − 1+offset: 2×33−1=65. / 2×33−1=65।
- 3. Number Series / संख्या श्रृंखला — Number Series
18. Find the next term: 1, 2, 3, 5, 8, 13, 21, 34, 55, ? / अगला पद: 1, 2, 3, 5, 8, 13, 21, 34, 55, ?
- A. 75
- B. 85
- C. 89 (Correct)
- D. 91
Explanation: Fibonacci: 34+55=89. / 34+55=89।
- 3. Number Series / संख्या श्रृंखला — Number Series
19. Find the next term: 4, 4, 8, 12, 20, 32, ? / अगला पद: 4, 4, 8, 12, 20, 32, ?
- A. 48
- B. 52 (Correct)
- C. 54
- D. 56
Explanation: Each = sum of previous two. 20+32=52. / 20+32=52।
- 3. Number Series / संख्या श्रृंखला — Number Series
20. Find the next term: 6, 10, 14, 22, 36, 58, ? / अगला पद: 6, 10, 14, 22, 36, 58, ?
- A. 84
- B. 90
- C. 94 (Correct)
- D. 96
Explanation: Each = sum of previous two. 36+58=94. / 36+58=94।
- 3. Number Series / संख्या श्रृंखला — Percentage / प्रतिशत
21. 18% of 425 is: / 425 का 18% कितना है?
- A. 66.5
- B. 76.5 (Correct)
- C. 86.5
- D. 96.5
Explanation: 18% = 18/100, so answer = 76.5. / 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 800 is sold at 10% profit. Find SP. / Rs 800 में खरीदी वस्तु 10% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 840
- B. Rs 880 (Correct)
- C. Rs 920
- D. Rs 960
Explanation: SP = CP x (100 + profit%)/100 = 800 x 110/100 = Rs 880. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
- 3. Number Series / संख्या श्रृंखला — Time & Work / समय और कार्य
23. A finishes a work in 24 days and B in 30 days. Together they finish in: / A 24 दिन और B 30 दिन में काम पूरा करते हैं। साथ में समय?
- A. 12.3 days
- B. 13.3 days (Correct)
- C. 14.3 days
- D. 15.3 days
Explanation: Combined time = ab/(a+b) = 24 x 30 / 54 = 13.3 days. / संयुक्त कार्य में दरें जोड़ी जाती हैं।
- 3. Number Series / संख्या श्रृंखला — Speed Conversion / चाल परिवर्तन
24. 90 km/h equals: / 90 किमी/घंटा बराबर है:
- A. 22 m/s
- B. 25 m/s (Correct)
- C. 28 m/s
- D. 30 m/s
Explanation: km/h to m/s conversion uses x 5/18. 90 x 5/18 = 25. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
- 3. Number Series / संख्या श्रृंखला — Simplification / सरलीकरण
25. Simplify: 18 x 12 + 18 - 12. / सरल करें: 18 x 12 + 18 - 12.
- A. 214
- B. 222 (Correct)
- C. 230
- D. 238
Explanation: Apply BODMAS: 216 + 18 - 12 = 222. / पहले गुणा, फिर जोड़-घटाव करें।