3. Number Series / संख्या श्रृंखला Test 17
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3. Number Series / संख्या श्रृंखला Test 17

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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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25
Duration
25 min
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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 17 (no login required)
  1. 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।

  2. 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. 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।

  4. 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।

  5. 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।

  6. 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।

  7. 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।

  8. 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।

  9. 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।

  10. 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।

  11. 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।

  12. 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।

  13. 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।

  14. 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।

  15. 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।

  16. 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।

  17. 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।

  18. 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।

  19. 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।

  20. 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।

  21. 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।

  22. 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।

  23. 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।

  24. 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।

  25. 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।