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50 Questions Set - 1

The document contains a series of mathematical pattern questions and their solutions, aimed at preparing for a mock exam. Each question presents a sequence of numbers where the participant must identify the next number based on a specific pattern. The solutions are provided alongside the questions, demonstrating the logic used to derive the answers.

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0% found this document useful (0 votes)
94 views20 pages

50 Questions Set - 1

The document contains a series of mathematical pattern questions and their solutions, aimed at preparing for a mock exam. Each question presents a sequence of numbers where the participant must identify the next number based on a specific pattern. The solutions are provided alongside the questions, demonstrating the logic used to derive the answers.

Uploaded by

Yagna
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
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Q1. 121, 132, 148, 173, 211, ? Q3. 72, 76, 82, 90, 100, ?
a. 266 a. 112
b. 270 b. 120
c. 277 c. 115
d. 261 d. 125
e. 265 e. 130

Q4. 36, 18, 18, 27, ?, 135


Q2. 150, 145, 130, 105, ?, 25 a. 61
a. 70 b. 63
b. 65 c. 62
c. 68 d. 54
d. 75 e. 65
e. 80

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Q5. 16, 36, 64, 100, 144, ? Q7. 49, 51, 63, 85, 117, ?
a. 196 a. 175
b. 169 b. 159
c. 160 c. 168
d. 225 d. 176
e. 256 e. 172

Q6. 3, 7, 15, 31, ?, 127 Q8. 114, 132, 168, 222, ?, 384
a. 63 a. 312
b. 56 b. 308
c. 60 c. 300
d. 72 d. 294
e. 80 e. 240

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Q9. 48, 24, 12, 6, 3, ? Q11. 42, 44, 48, 56, 72, ?
a. 1.5 a. 92
b. 1 b. 104
c. 2 c. 120
d. 0.5 d. 96
e. 0 e. 100

Q10. 50, 48, 44, 38, 30, ? Q12. 0, 6, 24, 60, 120, ?
a. 22 a. 220
b. 20 b. 210
c. 18 c. 205
d. 24 d. 250
e. 26 e. 215

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Q13. 16, 24, 36, 54, 81, ? Q15. 6, 7, 16, 52, 216, ?
a. 116 a. 1380
b. 108.5 b. 1452
c. 112 c. 1096
d. 121.5 d. 1260
e. 115 e. 1200

Q14. 4, 9, 25, 49, 121, ? Q16. 2, 4, 12, 48, 240, ?


a. 243 a. 1440
b. 169 b. 980
c. 225 c. 1000
d. 196 d. 1080
e. 256 e. 1100

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Q17. 2, 10, 30, 68, 130, ? Q19. 2, 7, 14, 23, 34, ?


a. 201 a. 47
b. 222 b. 40
c. 190 c. 45
d. 225 d. 50
e. 280 e. 54

Q18. 64, 125, 216, 343, 512, ? Q20. 9, 17, 33, 65, 129, ?
a. 729 a. 261
b. 625 b. 256
c. 1000 c. 257
d. 729 d. 261
e. 800 e. 258

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Q21. 1, 2, 6, ?, 1525 Q23. 4, 10, 28, 72, 170, ?


a. 39 a. 378
b. 80 b. 427
c. 145 c. 525
d. 250 d. 623
e. 554 e. 729

Q22. 16, 40, 92, 200, 420, ? Q24. 1, 5, 13, 29, 61, ?
a. 780 a. 125
b. 784 b. 122
c. 864 c. 123
d. 902 d. 126
e. 1000 e. 128

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Q25. 4, 10, 28, 76, 196, ? Q27. 2, 7, 24, 79, 252, ?


a. 544 a. 787
b. 526 b. 665
c. 512 c. 550
d. 484 d. 470
e. 462 e. 676

Q26. 2, 6, 12, 20, 30, ? Q28. 5, 10, 30, 120, ?, 3600


a. 50 a. 600
b. 61 b. 800
c. 42 c. 1000
d. 40 d. 1200
e. 48 e. 1400

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Q29. 3, 24, 168, 1008, ?, 20160 Q31. 3, 24, 81, 192, 375, ?
a. 4800 a. 800
b. 5040 b. 385
c. 6020 c. 375
d. 5500 d. 456
e. 6580 e. 648

Q30. 9, 25, 73, 217, ? Q32. 16, 38, 97, 245, 601, ?
a. 507 a. 1433
b. 654 b. 1568
c. 512 c. 1587
d. 629 d. 1600
e. 649 e. 1640

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Q33. 5, 8, 26, 110, 560, ? Q35. 2, 7, 26, 112, 572, ?


a. 3374 a. 2617
b. 3252 b. 2804
c. 3160 c. 3008
d. 3056 d. 3212
e. 3050 e. 3449

Q34. 2, 9, 41, 213, 1290, ? Q36. 1, 4, 19, 89, 465, ?


a. 8412 a. 3300
b. 9420 b. 3145
c. 9047 c. 2818
d. 9430 d. 2720
e. 9740 e. 2640

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Q37. 2, 8, 29, 122, 617, ? Q39. 7, 24, 104, 533, ?, 22535


a. 3710 a. 3216
b. 3556 b. 3410
c. 3132 c. 3805
d. 2506 d. 4200
e. 2094 e. 4322

Q38. 3, 14, 66, 345, 2090, ? Q40. 2, 13, 74, 529, ?, 52529
a. 13575 a. 4050
b. 13580 b. 4360
c. 14655 c. 4586
d. 14608 d. 4774
e. 13595 e. 4982

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Q41. 1, 4, 13, 40, 121, ? Q43. 10, 17, 26, 37, 50, ?
a. 364 a. 65
b. 343 b. 62
c. 365 c. 70
d. 400 d. 68
e. 444 e. 72

Q42. 3, 12, 48, 192, 768, ? Q44. 9, 27, 81, 243, 729, ?
a. 3072 a. 1024
b. 3026 b. 1456
c. 3100 c. 2187
d. 3200 d. 1455
e. 3350 e. 1568

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Q45. 5, 12, 29, 68, 153, ?


Q47. 1, 2, 6, 24, 120, ?
a. 400
a. 410
b. 415
b. 600
c. 401
c. 720
d. 332
d. 605
e. 225
e. 501

Q46. 1, 2, 10, 37, 101, ?


Q48. 0, 4, 12, 24, 40, ?
a. 215
a. 50
b. 226
b. 56
c. 230
c. 72
d. 250
d. 63
e. 285
e. 60

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Q49. 2, 7, 32, 169, 1030, ?


a. 7266
b. 7235
c. 7284
d. 7290
e. 7300

Q50. 2, 3, 7, 22, 89, ?


a. 444
b. 446
c. 450
d. 455
e. 460

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1. Solution: 3. Solution: 5. Solution: 7. Solution:


121 + 11 = 132 72 + 4 = 76 4² = 16 49 + 2 = 51
132 + 16 = 148 76 + 6 = 82 6² = 36 51 + 12 = 63
148 + 25 = 173 82 + 8 = 90 8² = 64 63 + 22 = 85
173 + 38 = 211 90 + 10 = 100 10² = 100 85 + 32 = 117
212 + 55 = 266 100 + 12 = 112 12² = 144 117 + 42 = 159
Correct Option: a Correct Option: a 14² = 196 Correct Option: b
Correct Option: a

9. Solution:
2. Solution: 4. Solution: 6. Solution: The pattern follows the
150 - 5 = 145 36 × 0.5 = 18 3 × 2 + 1= 7 logic of adding successive
145 - 15 = 130 18 × 1 = 18 7 × 2 + 1= 15 multiples of 18:
130 - 25 = 105 18 × 1.5 = 27 15 × 2 + 1= 31 114 + 18 = 132
105 - 35 = 70 27 × 2 = 54 31 × 2 + 1= 63 132 + 36 = 168
70 - 45 = 25 54 × 2.5 = 135 63 × 2 + 1= 127 168 + 54 = 222
Correct Option: a Correct Option: d Correct Option: a 222 + 72 = 294
294 + 90 = 384
Correct Option: d
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9. Solution: 11. Solution: 13. Solution: 15. Solution:


48 ÷ 2 = 24 42 + 2 = 44 16 × 1.5 = 24 6×1+1=7
24 ÷ 2 = 12 44 + 4 = 48 24 × 1.5 = 36 7 × 2 + 2 = 16
12 ÷ 2 = 6 48 + 8 = 56 36 × 1.5 = 54 16 × 3 + 4 = 52
6÷2=3 56 + 16 = 72 54 × 1.5 = 81 52 × 4 + 8 = 216
3 ÷ 2 = 1.5 72 + 32 = 104 81 × 1.5 = 121.5 216 × 5 + 16 = 1096
Correct Option: a Correct Option: b Correct Option: d Correct Option: c

10. Solution: 12. Solution: 14. Solution: 16. Solution:


50 - 2 = 48 1³ - 1 = 0 2² = 4 2×2=4
48 - 4 = 44 2³ - 2 = 6 3² = 9 4 × 3 = 12
44 - 6 = 38 3³ - 3 = 24 5² = 25 12 × 4 = 48
38 - 8 = 30 4³ - 4 = 60 7² = 49 48 × 5 = 240
30 - 10 = 20 5³ - 5 = 120 11² = 121 240 × 6 = 1440
Correct Option: b 6³ - 6 = 210 13² = 169 Correct Option: a
Correct Option: b Correct Option: b

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17. Solution: 19. Solution: 21. Solution: 23. Solution:


1³ + 1 = 2 1² + 1 = 2 1² + 1 = 2 4 × 2 + 2 = 10
2³ + 2 = 10 2² + 3 = 7 2² + 2 = 6 10 × 2 + 8 = 28
3³ + 3 = 30 3² + 5 = 14 6² + 3 = 39 28 × 2 + 16 = 72
4³ + 4 = 68 4² + 7 = 23 39² + 4 = 1525 72 × 2 + 26 = 170
5³ + 5 = 130 5² + 9 = 34 Correct Option: a 170 × 2 + 38 = 378
6³ + 6 = 222 6² + 11 = 47 Correct Option: a
Correct Option: b Correct Option: a

24. Solution:
18. Solution: 20. Solution: 22. Solution: 1+4=5
4³ = 64 9 × 2 - 1 = 17 16 × 2 + 8 = 40 5 + 8 = 13
5³ = 125 17 × 2 - 1 = 33 40 × 2 + 12 = 92 13 + 16 = 29
6³ = 216 33 × 2 - 1 = 65 92 × 2 + 16 = 200 29 + 32 = 61
7³ = 343 65 × 2 - 1 = 129 200 × 2 + 20 = 420 61 + 64 = 125
8³ = 512 129 × 2 - 1 = 257 420 × 2 + 24 = 864 Correct Option: a
9³ = 729 Correct Option: c Correct Option: c
Correct Option: a

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25. Solution: 27. Solution: 29. Solution: 31. Solution:


4 × 2 + 2 = 10 2×3+1=7 3 × 8 = 24 3 × 1³ = 3
10 × 2 + 8 = 28 7 × 3 + 3 = 24 24 × 7 = 168 3 × 2³ = 24
28 × 2 + 20 = 76 24 × 3 + 7 = 79 168 × 6 = 1008 3 × 3³ = 81
76 × 2 + 44 = 196 79 × 3 + 15 = 252 1008 × 5 = 5040 3 × 4³ = 192
196 × 2 + 92 = 484 252 × 3 + 31 = 787 5040 × 4 = 20160 3 × 5³ = 375
Correct Option: d Correct Option: a Correct Option: b 3 × 6³ = 648
Correct Option: e

26. Solution: 28. Solution: 30. Solution: 32. Solution:


1² + 1 = 2 5 × 2 = 10 9 × 3 - 2= 25 16 × 2 + 6 = 38
2² + 2 = 6 10 × 3 = 30 25 × 3 - 2= 73 38 × 2 + 21 = 97
3² + 3 = 12 30 × 4 = 120 73 × 3 - 2= 217 97 × 2 + 51 = 245
4² + 4 = 20 120 × 5 = 600 217 × 3 - 2= 649 245 × 2 + 111 = 601
5² + 5 = 30 600 × 6 = 3600 Correct Option: e 601 × 2 + 231 = 1433
6² + 6 = 42 Correct Option: a Correct Option: a
Correct Option: c

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33. Solution: 35. Solution: 37. Solution: 39. Solution:
5×2-2=8 2×2+3=7 2×2+4=8 7 × 3 + 3 = 24
8 × 3 + 2 = 26 7 × 3 + 5 = 26 8 × 3 + 5 = 29 24 × 4 + 8 = 104
26 × 4 + 6 = 110 26 × 4 + 8 = 112 29 × 4 + 6 = 122 104 × 5 + 13 = 533
110 × 5 + 10 = 560 112 × 5 + 12 = 572 122 × 5 + 7 = 617 533 × 6 + 18 = 3216
560 × 6 + 14 = 3374 572 × 6 + 17 = 3449 617 × 6 + 8 = 3710 3216 × 7 + 23 = 22535
Correct Option: a Correct Option: e Correct Option: a Correct Option: a

40. Solution:
34. Solution: 36. Solution: 38. Solution: 2 × 3 + 7 = 13
2×3+3=9 1×2+2=4 3 × 3 + 5 = 14 13 × 5 + 9 = 74
9 × 4 + 5 = 41 4 × 3 + 7 = 19 14 × 4 + 10 = 66 74 × 7 + 11 = 529
41 × 5 + 8 = 213 19 × 4 + 13 = 89 66 × 5 + 15 = 345 529 × 9 + 13 = 4774
213 × 6 + 12 = 1290 89 × 5 + 20 = 465 345 × 6 + 20 = 2090 4774 × 11 + 15 =
1290 × 7 + 17 = 9047 465 × 6 + 28 = 2818 2090 × 7 + 25 = 14655 52529
Correct Option: c Correct Option: c Correct Option: c Correct Option: d

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41. Solution: 43. Solution: 45. Solution:


5 × 2 + 2 = 12 47. Solution:
1×3+1=4 10 + 7 = 17
12 × 2 + 5 = 29 1×2=2
4 × 3 + 1 = 13 17 + 9 = 26
29 × 2 + 10 = 68 2×3=6
13 × 3 + 1 = 40 26 + 11 = 37
68 × 2 + 17 = 153 6 × 4 = 24
40 × 3 + 1 = 121 37 + 13 = 50
153 × 2 + 26 = 332 24 × 5 = 120
121 × 3 + 1 = 364 50 + 15 = 65
Correct Option: d 120 × 6 = 720
Correct Option: a Correct Option: a
Correct Option: c

48. Solution:
46. The pattern follows:
42. Solution: 44. Solution:
0+4=4
3 × 4 = 12 9 × 3 = 27
4 + 8 = 12
12 × 4 = 48 27 × 3 = 81
12 + 12 = 24
48 × 4 = 192 81 × 3 = 243
24 + 16 = 40
192 × 4 = 768 243 × 3 = 729
40 + 20 = 60
768 × 4 = 3072 729 × 3 = 2187
Correct Option: e
Correct Option: a Correct Option: c

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49. Solution:
2 × 3 + 1² = 7
7 × 4 + 2² = 32
32 × 5 + 3² = 169
169 × 6 + 4² = 1030
1030 × 7 + 5² = 7235
Correct Option: b

50. Solution:
2×1+1=3
3×2+1=7
7 × 3 + 1 = 22
22 × 4 + 1 = 89
89 × 5 + 1 = 446
Correct Option: b

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