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1.  What will come at the place of question mark ?
1, 9, 25, 49, ?, 121.

Discuss
Solution:

12 = 1.
32 = 9.
52 = 25.
72 = 49.
92 = 81.
112 = 121.

2. What will come at the place of question mark?
4, 7, 12, 19, 28, ?

Discuss
Solution:
First term : 4
Second term: 4+3 = 7
Third term : 7+5 = 12
Fourth term : 12+7 = 19.
Fifth term : 19+9 = 28.
Therefore,
Next Terms : 28+11 = 39
3. What will come at the place of question mark ?
6, 11, 21, 36, 56, ?

Discuss
Solution:

6 (+5)→ 11 (+10)→ 21 (+15)→ 36 (+20)→ 56 (+25) → 81.

4. What will come at the place of question mark ?
10, 100, 200, 310, ?

Discuss
Solution:

1st term : 10
2nd term : 100 = 10+90
3rd term : 200 = 100+100
4th term : 310 = 200+110
5th Term: 430 = 310+120

Therefore, the answer is 430.

5. What will come at the place of question mark ?
8, 28, 116, 584, ?

Discuss
Solution:
(8 *3) + 4 = 28(28 *4) + 4 = 116(116 *5) + 4 = 584(584 *6) + 4 = 3508.
6. What will come at the place of question mark ?
3, 7, 23, 95, ?

Discuss
Solution:
1st number = 3
2nd number = 3 x 2 +1 = 7
3rd number = 7 x 3 + 2 = 23
4th number = 23 x 4 + 3 = 95
5th number = 95 x 5 + 4 = 479
7. What will come at the place of question mark ?
7, 26, 63, 124, 215, 342, ?

Discuss
Solution:

The terms are given in a series
(23 -1) = 7
(33 -1) = 26
(43 -1) = 63
(53 -1) = 124
(63 -1) = 215
(73 -1) = 342
So, the missing term is,
(83 -1) = 511.

8. What will come at the place of question mark ?
165, 195, 255, 285, 345, ?

Discuss
Solution:
Solution 1:Each number of given series is 15 multiplied by a prime number.
15*11, 15*13, 15*17, 15*19, 15*23.
So, Missing number is
15*29 = 435.

Solution 2:This pattern is +30 and then +60 also follow for the give series.
165+30=195,
195+60=255,
255+30=285,
285+60=345,
345+30=375
9. 34, 45, 56, 67, ....... What number should come next?

Discuss
Solution:

34(+11) → 45(+11) → 56(+11) →67 (+11) → 78.

10. What will come at the place of question mark ?
3, 2, 7, 6, 11, ?

Discuss
Solution:

2nd number is less by 1 than the 1st number and 3rd number is more by 5 than the 2nd number. The same rule follows in other numbers of the series.