Question

Complete the series :-
2 , 9 , 40 , 153 , 450 , ?
a) 889 c) 900
b) 891 d) 879

Answer 1

The answer is 879. It can be explained as follows :

Explanation :

• 2×6-3=9
• 9×5-5=40
• 40×4-7=153
• 153×3-9=450
• 450×2-11=879

Answer 2

The given series are:

2 , 9 , 40 , 153 , 450 , ?

We have to find, the value of missing number (?) = ?

Solution:

The pattern follow:

Previous number × 6 - 3, Previous number × 5 - 5, Previous number × 4 - 7, Previous number × 3 - 9, ............

9 = 2 × 6 - 3

= 12 - 3 = 9

40 = 9 × 5 - 5

= 45 - 5 = 40

153 = 40 × 4 - 7

= 160 - 7 = 153

450 = 153 × 3 - 9

= 459 - 9 = 450

Similarly,

? = 450 × 2 - 11

= 900 - 11 = 889

Thus, the required "option a) 889" is correct.