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6
Q:

Find the next two numbers in the sequence

4, 12, 6, 18, 12, 26, 30, ?, ?

A) 36 & 90 B) 90 & 41
C) 45 & 36 D) 41 & 36

Answer:   A) 36 & 90



Explanation:

the next 2 number in series we need to divide the series into 2 different series

First series : 4 , 6, 12, 30 ??

Second Series : 12,18,26, ??

So we need to see for the pattern for those series in order to find the next two number , we can do this by finding the difference or division , multiplication logic whatever may apply :

 

  • Pattern of Series 1 :

 

6 divide 4 : 1.5

Next number i.e 12 divided by 6=2

Next number i.e 30 divided by 12 =2.5

So series is going in multiples of 1.5, 2, 2.5, 3 , so on

So first series will look like

4 , 6, 12, 30, 30x3 =90

 

  • Pattern of Series 2 : 12,18,26, ??

 

Its simple Adding numbers with iterative logic (i.e 6, 8, then followed by 10, 12)

Series will be like 12,18,26,36.

 

For the next two numbers : Series will be like 4, 12, 6, 18, 12, 26, 30, 36, 90

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4

 

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81 ≠52+82.

 

Here every number is based on the digits of previous number. Hence, 81 is the wrong number in the given series.

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