## Logical Problems

#### Logical Problems

Direction: Look carefully for the pattern, and then choose which pair of numbers comes next. Note also that you will be choosing from five options instead of four.

1. 8 , 22 , 12 , 16 , 22 , 20 , 24

1. This is an alternating repetition series, with a random number, 22, interpolated as every third number into an otherwise simple addition series.

##### Correct Option: C

This is an alternating repetition series, with a random number, 22, interpolated as every third number into an otherwise simple addition series. In the addition series, 4 is added to each number to arrive at the next number.

1. 9 , 16 , 23 , 30 , 37 , 44 , 51

1. Here is a simple addition series,

##### Correct Option: D

Here is a simple addition series, which begins with 9 and adds 7.

1. 61 , 57 , 50 , 61 , 43 , 36 , 61

1. This is an alternating repetition series, in which a random number, 61, is interpolated as every third number into an otherwise simple subtraction series.

##### Correct Option: E

This is an alternating repetition series, in which a random number, 61, is interpolated as every third number into an otherwise simple subtraction series. Starting with the second number, 57, each number (except 61) is 7 less than the previous number.

1. 2 , 3 , 4 , 5 , 6 , 4 , 8

1. This is an alternating addition series with a random number, 4, interpolated as every third number.

##### Correct Option: D

This is an alternating addition series with a random number, 4, interpolated as every third number. In the main series, 1 is added, then 2 is added, then 1, then 2, and so on.

1. 17 , 17 , 34 , 20 . 20 , 31 , 23

1. This is an alternating subtraction series with repetition. There are two different patterns here. In the first, a number repeats itself; then 3 is added to that number to arrive at the next number, which also repeats.

##### Correct Option: E

This is an alternating subtraction series with repetition. There are two different patterns here. In the first, a number repeats itself; then 3 is added to that number to arrive at the next number, which also repeats. This gives the series 17, 17, 20, 20, 23, and so on. Every third number follows a second pattern, in which 3 is subtracted from each number to arrive at the next : 34, 31, 28.