# Logical Reasoning / Number Series Questions and Answers – VI

Hello friends sharing an article on that has 24 Logical Reasoning / Number Series Questions and Answers that are simply based on addition and subtraction number series, which is being asked in various competitive exams be it for MBA, civil services, banks etc.

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Pure mathematics is, in its way, the poetry of logical ideas.
– Albert Einstein

## Questions Section

Q1. Find the next number in the series is:

134, 125, 116, 107, ??, 89

Ans: 98 i.e. 107 – 9 = 98
134, 134 – 9 = 125, 125 – 9 = 116, 116 – 9 = 116, 116 – 9 = 107, and so on.
Logic: Every number is previous number minus 9 and that is how the middle number or the number at 5th position will be identified.

Q2. Find the next number in the series is:

-618, -599, -580, -561, ??, -523

Ans: -542 i.e. -561 + 19 = -542
-618, -618 + 19 = -599, -599 + 19 = -580, -580 + 19 = -580, -580 + 19 = -561, and so on.
Logic: Every number is previous number plus 19 and that is how you can find out the number at 5th position.

Q3. Find the next number in the series is:

-594, -608, -622, -636, ??

Ans: -650 i.e. -636 – 14 = -650
-594, -594 – 14 = -608, -608 – 14 = -622, -622 – 14 = -622, -622 – 14 = -636, and so on.
Logic: Every number is previous number minus 14 and that is how you can identify the last number in the series.

Q4. Find the next number in the series is:

416, 424, 432, 440, ??

Ans: 448 i.e. 440 + 8 = 448
416, 416 + 8 = 424, 424 + 8 = 432, 432 + 8 = 432, 432 + 8 = 440, and so on.
Logic: Every number is previous number plus 8 and that is how you can find out the last number in the series.

Q5. Find the next number in the series is:

570, 567, 564, 561, ??, 555

Ans: 558 i.e. 561 – 3 = 558
570, 570 – 3 = 567, 567 – 3 = 564, 564 – 3 = 564, 564 – 3 = 561, and so on.
Logic: Every number is previous number minus 3 and that is how the middle number or the number at 5th position will be identified.

Q6. Find the next number in the series is:

-530, -515, -500, -485, ??, -455

Ans: -470 i.e. -485 + 15 = -470
-530, -530 + 15 = -515, -515 + 15 = -500, -500 + 15 = -500, -500 + 15 = -485, and so on.
Logic: Every number is previous number plus 15 and that is how you can find out the number at 5th position.

Q7. Find the next number in the series is:

-678, -696, -714, -732, ??

Ans: -750 i.e. -732 – 18 = -750
-678, -678 – 18 = -696, -696 – 18 = -714, -714 – 18 = -714, -714 – 18 = -732, and so on.
Logic: Every number is previous number minus 18 and that is how you can identify the last number in the series.

Q8. Find the next number in the series is:

706, 714, 722, 730, ??

Ans: 738 i.e. 730 + 8 = 738
706, 706 + 8 = 714, 714 + 8 = 722, 722 + 8 = 722, 722 + 8 = 730, and so on.
Logic: Every number is previous number plus 8 and that is how you can find out the last number in the series.

Q9. Find the next number in the series is:

254, 242, 230, 218, ??, 194

Ans: 206 i.e. 218 – 12 = 206
254, 254 – 12 = 242, 242 – 12 = 230, 230 – 12 = 230, 230 – 12 = 218, and so on.
Logic: Every number is previous number minus 12 and that is how the middle number or the number at 5th position will be identified.

Q10. Find the next number in the series is:

-466, -449, -432, -415, ??, -381

Ans: -398 i.e. -415 + 17 = -398
-466, -466 + 17 = -449, -449 + 17 = -432, -432 + 17 = -432, -432 + 17 = -415, and so on.
Logic: Every number is previous number plus 17 and that is how you can find out the number at 5th position.

Q11. Find the next number in the series is:

-966, -968, -970, -972, ??

Ans: -974 i.e. -972 – 2 = -974
-966, -966 – 2 = -968, -968 – 2 = -970, -970 – 2 = -970, -970 – 2 = -972, and so on.
Logic: Every number is previous number minus 2 and that is how you can identify the last number in the series.

Q12. Find the next number in the series is:

830, 834, 838, 842, ??

Ans: 846 i.e. 842 + 4 = 846
830, 830 + 4 = 834, 834 + 4 = 838, 838 + 4 = 838, 838 + 4 = 842, and so on.
Logic: Every number is previous number plus 4 and that is how you can find out the last number in the series.

Q13. Find the next number in the series is:

590, 571, 552, 533, ??, 495

Ans: 514 i.e. 533 – 19 = 514
590, 590 – 19 = 571, 571 – 19 = 552, 552 – 19 = 552, 552 – 19 = 533, and so on.
Logic: Every number is previous number minus 19 and that is how the middle number or the number at 5th position will be identified.

Q14. Find the next number in the series is:

-354, -337, -320, -303, ??, -269

Ans: -286 i.e. -303 + 17 = -286
-354, -354 + 17 = -337, -337 + 17 = -320, -320 + 17 = -320, -320 + 17 = -303, and so on.
Logic: Every number is previous number plus 17 and that is how you can find out the number at 5th position.

Q15. Find the next number in the series is:

-746, -759, -772, -785, ??

Ans: -798 i.e. -785 – 13 = -798
-746, -746 – 13 = -759, -759 – 13 = -772, -772 – 13 = -772, -772 – 13 = -785, and so on.
Logic: Every number is previous number minus 13 and that is how you can identify the last number in the series.

Q16. Find the next number in the series is:

906, 919, 932, 945, ??

Ans: 958 i.e. 945 + 13 = 958
906, 906 + 13 = 919, 919 + 13 = 932, 932 + 13 = 932, 932 + 13 = 945, and so on.
Logic: Every number is previous number plus 13 and that is how you can find out the last number in the series.

Q17. Find the next number in the series is:

562, 550, 538, 526, ??, 502

Ans: 514 i.e. 526 – 12 = 514
562, 562 – 12 = 550, 550 – 12 = 538, 538 – 12 = 538, 538 – 12 = 526, and so on.
Logic: Every number is previous number minus 12 and that is how the middle number or the number at 5th position will be identified.

Q18. Find the next number in the series is:

-8, 1, 10, 19, ??, 37

Ans: 28 i.e. 19 + 9 = 28
-8, -8 + 9 = 1, 1 + 9 = 10, 10 + 9 = 10, 10 + 9 = 19, and so on.
Logic: Every number is previous number plus 9 and that is how you can find out the number at 5th position.

Q19. Find the next number in the series is:

-656, -658, -660, -662, ??

Ans: -664 i.e. -662 – 2 = -664
-656, -656 – 2 = -658, -658 – 2 = -660, -660 – 2 = -660, -660 – 2 = -662, and so on.
Logic: Every number is previous number minus 2 and that is how you can identify the last number in the series.

Q20. Find the next number in the series is:

552, 558, 564, 570, ??

Ans: 576 i.e. 570 + 6 = 576
552, 552 + 6 = 558, 558 + 6 = 564, 564 + 6 = 564, 564 + 6 = 570, and so on.
Logic: Every number is previous number plus 6 and that is how you can find out the last number in the series.

Q21. Find the next number in the series is:

396, 381, 366, 351, ??, 321

Ans: 336 i.e. 351 – 15 = 336
396, 396 – 15 = 381, 381 – 15 = 366, 366 – 15 = 366, 366 – 15 = 351, and so on.
Logic: Every number is previous number minus 15 and that is how the middle number or the number at 5th position will be identified.

Q22. Find the next number in the series is:

-924, -907, -890, -873, ??, -839

Ans: -856 i.e. -873 + 17 = -856
-924, -924 + 17 = -907, -907 + 17 = -890, -890 + 17 = -890, -890 + 17 = -873, and so on.
Logic: Every number is previous number plus 17 and that is how you can find out the number at 5th position.

Q23. Find the next number in the series is:

-776, -794, -812, -830, ??

Ans: -848 i.e. -830 – 18 = -848
-776, -776 – 18 = -794, -794 – 18 = -812, -812 – 18 = -812, -812 – 18 = -830, and so on.
Logic: Every number is previous number minus 18 and that is how you can identify the last number in the series.

Q24. Find the next number in the series is:

816, 820, 824, 828, ??

Ans: 832 i.e. 828 + 4 = 832
816, 816 + 4 = 820, 820 + 4 = 824, 824 + 4 = 824, 824 + 4 = 828, and so on.
Logic: Every number is previous number plus 4 and that is how you can find out the last number in the series.