Quantitative Aptitude: Number Series Set 149

1. 4 2 3 7.5 ? 118.125
   26.25
   38.75
   42.25
   28.75
   none of these
   Option A
   Series Pattern Given Series
   4 4
   4 × 0.5 = 2 2
   2 × 1.5 = 3 3
   3 × 2.5 = 7.5 7.5
   7.5 × 3.5 = 26.25 26.25 ✓
   26.25 × 4.5 = 118.125 118.125
   
   Hence, option (A) is correct.
   
    



2. 256 252 279 263 388 ?
   341
   352
   323
   336
   none of these
   Option B
   
   Series Pattern Given Series
   256 256
   256 – 22 = 252 252
   252 + 33 = 279 279
   279 – 42 = 263 263
   263 + 53 = 388 388
   388 – 62 = 352 352 ✓
   
   Hence, option (B) is correct.
   
    



3. 
   188 269 333 382 418 ?
   181
   126
   443
   315
   none of these
   Option C
   Series Pattern Given Series
   188 188
   188 + (9)2 = 269 269
   269 + (8)2 = 333 333
   333 + (7)2 = 382 382
   382 + (6)2 = 418 418
   418 + (5)2 = 443 443 ✓
   
   Hence, option (C) is correct.
   
    



4. 420, 462, 506, 552, 600, ?
   725
   800
   350
   650
   675
   Option D
   20*21=420
   21*22=462
   22*23=506
   23*24=552
   24*25=600
   25*26=650
   Hence, option (D) is correct.
   
    



5. 40 44 97 307 1253 ?
   6301
   6201
   6401
   6403
   6501
   Option A
   Correct Option: A
   The series is × 1 + 2*2, × 2 + 3*3, × 3 + 4*4, × 4 + 5*5, × 5 + 6*6, × 6 + 7*7
   
   
    



6. 129 163 202 246 ? 349
   265
   285
   295
   275
   None of these
   Option C
   Correct Option: C
   The series is + (5 × 7) – 1, + (5 × 8) – 1, + (5 × 9) – 1, + (5 × 10) – 1, + (5 × 11) – 1, ....
   
    



7. 3 13 39 89 ? 293
   172
   171
   174
   181
   183
   Option B
   Series Pattern Given Series
   3 3
   3 + (32 + 1) = 13 13
   13 + (52 + 1) = 39 39
   39 + (72 + 1) = 89 89
   89 + (92 + 1) = 171 171 ✓
   171 + (112 + 1) = 293 293
   Hence, option B is correct.
   
   
    



8. 3, 2, 3, 6, ?, 37.5, 115.5
   11
   14
   16
   18
   none of these
   Option B
   Correct Option: B
   The series is ×0.5+0.5, ×1+1, ×1.5+1.5, *2+2, *2.5+2.5....
   
    



9. 567 126 36 14.4 9.6 ?
   16.5
   17.9
   18.1
   12.6
   none of these
   Option E
   Correct Option: E
   Series Pattern Series
   567 567
   567 ÷ 4.5 126
   126 ÷ 3.5 36
   36 ÷ 2.5 14.4
   14.4 ÷ 1.5 9.6
   9.6 ÷ .5 19.2 ✓
   
    



10. 441 428 407 370 ? 168
    288
    291
    301
    311
    245
    Option C
    Correct Option: C
    Series I : 441 428 407 370 ? 168
    Sereis II : –13 –21 –37 ? ?
    Series III : 8 16 32 ?
    Series IV ×2 ×2 ×2
    Clearly, the pattern in series IV is multiplication of 2.
    
    So, the missing term in series III = 32 × 2 = 64
    
    ∴ missing term in series II = – 37 – 32 = – 69, – 69 – 64 = – 133
    ∴ missing term in series I = 370 – 69 = 301