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Number Series Problems with Solutions for SSC and Bank Exams

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Number Series Problems with Solutions for Competitive Exams


Q.9. 2, 6, 33, 49, 174, 210, ?  

(A) 275   

(B) 387

 (C) 464   

(D) 553  

(E) None of these  

Answer: option D

Solution:  

2, 6, 33, 49, 174, 210, ?   

1+13 = 2  

2+22 = 6  

6+33 = 33  

33+42 = 49   

49+53 = 174   

174+62 = 210   

210+73 = 553

Q.10. 4, 4, 6, 12, 30, ?, 315  

(A) 60   

(B) 75  

(C) 90    

(D) 115  

(E) 120

Answer: option C

Solution:  

4*1 = 4  

4*1.5 = 6  

6*2 = 12  

12*2.5 = 30  

30*3 = 90  

90*3.5 = 315  

Q.11. 16, 8.5, 9.5, 21, 88, ?  

(A) 512  

 (B) 624  

(C) 712   

(D) 848

(E) 976

Answer: option C

Solution:

16 × 0.5 + 0.5 = 4.5

8.5 × 1+ 1 = 9.5  

9.5 × 2 + 2 = 21

21 × 4 + 4 = 84

84 × 8 + 8 = 712


Q.12. 28, 32, 23, 39, 14, 50, ?  

(A) 1  

(B) 5  

(C) 14   

(D) 24

(E) 62

Answer: option A 

Solution:

28 + 22 = 28 + 4 = 32  

32 – 32 = 32 – 9 = 23  

23 + 42 = 23 + 16 = 39  

39 – 52 = 39 – 25 = 14  

14 + 62 = 14 + 36 = 50

50 – 72 = 50 – 49 = 1

Q.13. 4, 9, 17, ? , 69, 139, 277 

(A) 28   

(B) 35  

(C) 42   

(D) 51

(E) None of these  

Answer: option B

Solution:

4

9 = 4×2+1   

17 = 9×2–1  

35 = 17×2+1  

69 = 35×2–1  

139 = 69×2+1

277 = 139×2–1   

Q.14. 5, 6, 16, ?, 244, 1245 

(A) 28   

(B) 55

(C) 57  

(D) 61

(E) None of these

Answer: option C

Solution:

5

5 × 1+12 =5+1=6

6 × 2 + 22 = 12 + 4 = 16

16 × 3 + 32 = 48 + 9 = 57

57 × 4 + 42 = 228 + 16= 244

244 × 5 + 52 = 1245

Q.15. 3, 14, 39, ?, 155 , 258

(A) 84  

(B) 88

(C) 92

(D) 96

(E) 104

Answer: option A

Solution:

1+12+13=3

2+22+23=14

3+32+33= 39

4+42+43= 84

5+52+53= 155

6+62+63= 258

Q.16. 8, 9, 15, 32, ? , 250.5 

(A) 61  

(B) 65.5

(C) 82.5  

(D) 87

(E) 99

Answer: option C

Solution: 

8*1+1 = 9

9*1.5+1.5 = 15

15*2+2 = 32

32*2.5+2.5 = 82.5

82.5*3+3 = 250.5

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