Series Set – 15

1. 8, 14, 48, 270, 2128, ?
A) 23140
B) 20480
C) 21150
D) 23520
E) 21230

Answer & Explanation

 Option E
Pattern:
8×2 – 2 = 14
14×4 – (2+6) = 48
48×6 – (8+10) = 270
270×8 – (18+14) = 2128
2128×10 – (32+18) = 21230

 

2. 2, 48, 265, 1076, 3237, ?
A) 5569
B) 6478
C) 5411
D) 6410
E) 5882

Answer & Explanation

 Option B
Pattern:  
2×6 + 6<sup>2</sup> = 48
48×5 + 5<sup>2</sup> = 265
265×4 + 4<sup>2</sup> = 1076
1076×3 + 3<sup>2</sup> = 3237
3237×2 + 2<sup>2</sup> = 6478

 

3. 1010, 785, 616, 495, ?, 365
A) 412
B) 408
C) 414
D) 420
E) 432

Answer & Explanation

 Option C
Pattern:
1010 – 15<sup>2</sup> = 785
785 – 13<sup>2</sup> = 616
616 – 11<sup>2</sup> = 495
495 – 9<sup>2</sup> = 414
414 – 7<sup>2</sup> = 365  

 

4. 970, 470, 222, 100, 41, ?
A) 15.5
B) 10.5
C) 23.5
D) 13.5
E) 18.5

Answer & Explanation

 Option D
Pattern:
(970-30) ÷ 2 = 470
(470-26) ÷ 2 = 222
(222-22) ÷ 2 = 100
(100-18) ÷ 2 = 41
(41-14) ÷ 2 = 13.5  

 

5. 8, 16, 48, 168, 704, ?
A) 2695
B) 3560
C) 3240
D) 2538
E) 2233

Answer & Explanation

 Option B
Pattern:
8×1 + 1×8 = 16
16×2 + 2×8  = 48
48×3 + 3×8  = 168
168×4 + 4×8  = 704
704×5 + 5×8  = 3560

 

6. 4, 21, 120, 595, 2376, ?
A) 7125
B) 6129
C) 5257
D) 4523
E) 3652

Answer & Explanation

 Option A
Pattern:
4×7 – 7 = 21
21×6 – 6 = 120
120×5 – 5 = 595
595×4 – 4 = 2376
2376×3 – 3 = 7125

 

7. 444, 220, 108, 52, ?, 10
A) 17
B) 28
C) 31
D) 24
E) 35

Answer & Explanation

 Option D
Pattern:
(444 – 4) ÷ 2 = 220
(220 – 4) ÷ 2 = 108
(108 – 4) ÷ 2 = 52
(52 – 4) ÷ 2 = 24
(24 – 4) ÷ 2 = 10

 

8. 21, 44, 90, 159, 251, ?
A) 376
B) 324
C) 366
D) 402
E) 444

Answer & Explanation

 Option C
Pattern:
21 + 23 = 44
44 + 46 = 90
90 + 69 = 159
159 + 92 = 251
251 + 115 = 366

 

 

9. 4, 6, 16, 30, 88, ?
A) 153
B) 121
C) 149
D) 174
E) 162

Answer & Explanation

 Option D
Pattern:
4×2 – 2 = 6
6×3 – 2 = 16
16×2 – 2 = 30
30×3 – 2 = 88
88×2 – 2 = 174

 

10. 2, 3, 4, 15, 56, 285, ?
A) 1704
B) 1888
C) 1532
D) 1325
E) 1265

Answer & Explanation

 Option A
Pattern:
2 × 1 + 1 = 3
3 × 2 – 2 = 4
4 × 3 + 3 = 15
15 × 4 – 4 = 56
56 × 5 + 5 = 285
285 × 6 – 6 = 1704

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