1) Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

a) (1/3)
b) (1/8)
c) (2/8)
d) (1/16)

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Answer b) (1/8)
This is a simple division series; each number is one-half of the previous number.
In other terms to say, the number is divided by 2 successively to get the next result.
4/2 = 2
2/2 = 1
1/2 = 1/2
(1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.

2) Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?

a) 7
b) 10
c) 12
d) 13

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Answer b) 10
This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.

3) Look at this series: 36, 34, 30, 28, 24, ... What number should come next?

a) 20
b) 22
c) 23
d) 26

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Answer b) 22
This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.

4) Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?

a) 12
b) 14
c) 27
d) 53

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Answer b)14
In this series, each number is repeated, then 13 is subtracted to arrive at the next number.

5) Odometer is to mileage as compass is to

a) speed
b) hiking
c) needle
d) direction

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Answer d) direction
An odometer is an instrument used to measure mileage. A compass is an instrument used to determine direction. Choices a, b, and c are incorrect because none is an instrument.

6) Window is to pane as book is to

a) novel
b) glass
c)cover
d) page

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Answer d) page
A window is made up of panes, and a book is made up of pages. The answer is not (choice a) because a novel is a type of book. The answer is not (choice b) because glass has no relationship to a book. (Choice c) is incorrect because a cover is only one part of a book; a book is not made up of covers.

7) FAG, GAF, HAI, IAH, ____

a) JAK
b) HAL
c) HAK
d)JAI

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Answer a) JAK
The middle letters are static, so concentrate on the first and third letters. The series involves an alphabetical order with a reversal of the letters. The first letters are in alphabetical order: F, G, H, I , J. The second and fourth segments are reversals of the first and third segments. The missing segment begins with a new letter.

8. B₂CD, _____, BCD₄, B₅CD, BC₆D

a) B₂C₂D
b) BC₃D
c) B₂C₃D
d) BCD₇

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Answer b) BC₃D
Because the letters are the same, concentrate on the number series, which is a simple 2, 3, 4, 5, 6 series, and follows each letter in order.

9. ZA₅, Y₄B, XC₆, W₃D, _____

a) E₇V
b) V₂E
c) VE₅
d) VE₇

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Answer d) VE₇
There are three series to look for here. The first letters are alphabetical in reverse: Z, Y, X, W, V. The second letters are in alphabetical order, beginning with A. The number series is as follows: 5, 4, 6, 3, 7.

10. P₅QR, P₄QS, P₃QT, _____, P₁QV

a) PQW
b) PQV₂
c) P₂QU
d) PQ₃U

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Answer c) P₂QU
The first two letters, PQ, are static. The third letter is in alphabetical order, beginning with R. The number series is in descending order beginning with 5.

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