1. \[2/\div \overline{3},3/\div\overline{4},4/\div\overline{5}, ? \]

a) \[5/\div \overline{6}\]

b) \[5/\div \overline{5}\]

c) \[6/\div \overline{5}\]

d) none of these

Explanation: \[5/\div \overline{6}\]

2. 1, 1, 5, 49, 11, 169, 19, ?

a) 256

b) 289

c) 324

d) 361

Explanation: There are two series intermingled in the given series of numbers. 1, 5, 11, 19 and the other series is 1

^{2}, 7

^{2}, 13

^{2}and 19

^{2}= 361. Hence, option (d) is the answer

3. 5, 36, 253, ?

a) 1749

b) 1750

c) 1772

d) 1771

Explanation: The series follows the pattern of ¥ 7 + 1. Hence, the next number in the series is 253 ¥ 7 + 1 = 1772. Option (c) is the answer

4. 45678912, 5678912, 567891, ?

a) 56789

b) 67891

c) 567891

d) none of these

Explanation: We are consecutively deleting one digit from the left and then one digit from the right and then the next move has to be to delete one digit from the left. Hence, the answer is option (b)

5. ABCDEFG, GABCDEF, FGABCDE, ?

a) EFGABCD

b) GABCDEF

c) EFGABCDE

d) FGABCDE

Explanation: The next term is formed by removing the last alphabet in the previous term and attaching it to the first alphabet of the next term. Hence, the next term in the series would be EFGABCD. So,the answer is option (a)

6. (1, 1), (2, 16), (3, 81), ?

a) (4, 16)

b) (4, 64)

c) (4, 256)

d) none of these

Explanation: The relationship followed in each bracket is the fourth power of the first digit in the bracket. Hence, option (c) is correct.

7. 1, 4, 16, 64, ______ what will be the 8th term?

a) 1024

b) 16384

c) 4096

d) none of these

Explanation: 256,1024,4096,16384. Option (b) is correct.

8. 40, 24, 16, 12, 10, 9, ?

a) 8.5

b) 8

c) 7.5

d) none of these

Explanation: The series follows a logic of –16, –8, –4, –2, –1. Hence, the next term in the series would be 9 – 0.5 = 8.5. Correct answer is option (a).

9. 7, 28, 70, 140, ?

a) 240

b) 250

c) 245

d) none of these

Explanation: The addition between various terms of the series follows a logic of 7 ¥ 3, 7 ¥ 6, 7 ¥ 10. Hence, the next addition should be 7 ¥ 15. Hence, the next term in the series would be 140 + 105 = 245. So, the answer is option (c).

10. 729, 1331, 1728, ?

a) 2180

b) 2185

c) 2196

d) none of these

Explanation: The series represents 9

^{3}, 11

^{3}, 13

^{3}and hence the next term should be 15

^{3}; correct answer is (d)