In the following question, a number series is given, after the number series, a number and then A, B, C, D and E are given. Complete the number series starting from the given number based on the pattern of the original number series and choose correct option.

27 |
35 |
59 |
107 |
187 |
307 |

18 |
A |
B |
C |
D |
E |

What will come in place of ‘E’?

Option 3 : 298

**Solution:**

The pattern of the original number series is

⇒ 27 + (3^{2} – 1) = 35

⇒ 35 + (5^{2} – 1) = 59

⇒ 59 + (7^{2} – 1) = 107

⇒ 107 + (9^{2} – 1) = 187

⇒ 187 + (11^{2} – 1) = 307

According the pattern of the above series the number series starting from the given number

would be as:

⇒ A = 18 + (3^{2} – 1) = 26

⇒ B = 26 + (5^{2} – 1) = 50

⇒ C = 50 + (7^{2} – 1) = 98

⇒ D = 98 + (9^{2} – 1) = 178

⇒ E = 178 + (11^{2} – 1) = 298

**∴ The required number in place of E would be 298**