1. (b) Explanation:

The pattern is -21, -19, -17, -15…

So, missing term = 113 – 15 = 98.

2. (c) Explanation:

The digits are removed one by one from the beginning and the end in alternate order so as to obtain the subsequent terms of the series.

3. (c) Ans. (c) Only one P follows that condition.

4. (a) There are two combinations present: 195, 413.

So the answer is 2.

5. (a) The pattern is -45, -35, -25,…

So, missing term = 28 – 15 = 13.

7. (b) Explanation: The series consists of squares and cubes of consecutive natural numbers i.e., 5Â², 6Â³, 7Â², 8Â³, 9Â², 10Â³, 11Â²,…

So, missing term = 8Â³ = 512.

8. (c) In every term, every letter (first, middle, last) increases with the next letters. So the missing term is QRP.

9. (a)S 14 M: Clearly, the first letters of the terms are alternate.

The last letter of each term is three steps ahead of the last letter of the preceding term. Thus, the next term would be S14 M. Hence, the answer is (a).

10. (c) Explanation: The pattern is x 2 + 1, x 2 – 1, x 2 + 1, x 2 – 1,…

So, missing term = 67 Ã— 2 – 1 = 133.

11. (c) The pattern is Ã·2, +2, Ã·2, +2, Ã·2, so the next term is 28 Ã· 2 = 14.

12. (b) The pattern is 0, +(1)Â², +(2)Â², +(3)Â², +(4)Â², so the next term is 90.

13. (c) Explanation: In the first letter, there is a decrement of three place values, increment of one place value in the second letter, and in the third letters +2, +3, +4.

14. (b) Explanation: First letter increments by six place values, and the second letter decreases by six values.

15. (b) Explanation: Continuous increment of natural numbers in place value…1, 2, 3, 4, …

16. (a) Explanation: The given sequence is a combination of two series:

I, Z, W, T, Q, ?

S, O, K, G, ?

In the first series, letters are continuously decreasing by 3, and in the second one, there is a decrement of 4.

17. (d) It is a combination of 2 series. The first series is 6, 11, 18, 27,…

Which follows the sequence as +5, +7, +9, +11, …

The second series is 11, 20, 31,…, which follows the sequence as +9, +11, +13…

So next, the missing term is 13 + 31 = 44.

18. (a) The sequence is bcabca/bcabca/bcabca, so the missing term is caba.

19. (b) The pattern is -66, -55, -44, -33, -22. So the missing term is 297 – 55 = 242.

20. (b) The main sequence is lmn; the increment of the letter is in reverse order. The sequence is lmn lmnn lmmn llmn.

So, the missing term is mlmnl.

21. (b); The difference between dgits are + 12, +20, +28, +36, + 44, so missing term is 99 + 44 = 143.

22. (d); The pattern is – 20, 25, 30, …, So its missing term will be 10-4050.

23. (b); Consecutive letter no. as +2, +3, +4, +5,…, (no of letter) and upcoming term is increase by place value of +2, So missing term is STUVW.

24. (b); Combination of 2 series and then 1st series is 62, 68, 74, 80, …, having -6 difference and 2nd series is 57, 52, 47, …, having -5 so missing term will be 42 and 86.

25. (a); There is oneplace value increment, in first option it follows.

26. (d); In given sequence first letter is decrease by 4, second letter is increased with five place value and 3rd letter decrease with 3 digit.

27. (b); The sequence is -2, +2, -2, +2. So missing terms is RH.

28. (c); The sequence is +101, +202, +404, +808… So, missing term is 858.

29. (d); The sequence is +320, +520, +720,… So, missing term is 2780.

30. (b); Here the respective difference between the terms is as follows: 2, 4, 6, 8, ……. Therefore, 12+8=20 which is the required term.

31. (c); Here the respective difference between the term is as follows: 2, 4, 8, 16, 32, 64, Therefore, the required term will be 67 + 64 = 131

32. (a); Here on adding 1 to the double of the first term we get the next term.

As required- 3 * 2 + 1 = 7

7 * 2 + 1 = 15

15 * 2 + 1 = 31

31 * 2 + 1 = 63

63 * 2 + 1 = 127

127 * 2 + 1 = 255

33. (c); The term follow as (x^{4} – 4) where x run as 2, 3, 4,…. So, wrong term is 620.

34. (c); Here, the respective difference between terms is as follows: 5, 10, 15, 20, 25

As, 7+5=12 12+10 = 22 22 + 15 = 37 the next term will be = 37 + 20 = 57

35. (d);

36. (b); The difference in 1st, 2nd and 3rd digit are follow -1, +1,-1 as respectively.

37. (a); The sequence is * 2 + 1 * 3 + 2 * 4 + 3 * 5 + 4 . So term is 719.

38. (a); Here the letter series is as follows- acb bca aab baa aab baa

39. (c); Here the letter series is as follows- ced den ccd den ndd den ndd

40. (a);