# (Reasoning) Logic and Reasoning Problems With Solutions

**Logic
and Reasoning Problems With Solutions**

**Start
off with these simple series of numbers. Number series questions measure your
ability to reason without words. To answer these questions, you must determine
the pattern of the numbers in each series before you will be able to choose
which number comes next. These questions involve only simple arithmetic.
Although most number series items progress by adding or subtracting, some
questions involve simple multiplication or division. In each series, look for
the degree and direction of change between the numbers. In other words, do the
numbers increase or decrease, and by how much?**

**1.
Look at this series: 2, 4, 6, 8, 10, . . . What number should come next?**

a. 11

b. 12

c. 13

d. 14

**2.
Look at this series: 58, 52, 46, 40, 34, . . . What number should come next?**

a. 26

b. 28

c. 30

d. 32

**3.
Look at this series: 40, 40, 47, 47, 54, . . . What number should come next?**

a. 40

b. 44

c. 54

d. 61

**4.
Look at this series: 544, 509, 474, 439, . . . What number should come next?**

a. 404

b. 414

c. 420

d. 445

**5.
Look at this series: 201, 202, 204, 207, . . . What number should come next?**

a. 205

b. 208

c. 210

d. 211

**6.
Look at this series: 8, 22, 8, 28, 8, . . . What number should come next?**

a. 9

b. 29

c. 32

d. 34

**7.
Look at this series: 80, 10, 70, 15, 60, . . . What number should come next?**

a. 20

b. 25

c. 30

d. 50

**8.
Look at this series: 36, 34, 30, 28, 24, . . . What number should come next?**

a. 20

b. 22

c. 23

d. 26

**9.
Look at this series: 22, 21, 23, 22, 24, 23, . . . What number should come next?**

a. 22

b. 24

c. 25

d. 26

**10.
Look at this series: 3, 4, 7, 8, 11, 12, . . . What number should come next?**

a. 7

b. 10

c. 14

d. 15

**11.
Look at this series: 31, 29, 24, 22, 17, . . . What number should come next?**

a. 15

b. 14

c. 13

d. 12

**12.
Look at this series: 21, 9, 21, 11, 21, 13, . . . What number should come next?**

a. 14

b. 15

c. 21

d. 23

**13.
Look at this series: 53, 53, 40, 40, 27, 27, . . . What number should come next?**

a. 12

b. 14

c. 27

d. 53

**14.
Look at this series: 2, 6, 18, 54, . . . What number should come next?**

a. 108

b. 148

c. 162

d. 216

**15.
Look at this series: 1,000, 200, 40, . . . What number should come next?**

a. 8

b. 10

c. 15

d. 20

**16.
Look at this series: 7, 10, 8, 11, 9, 12, . . . What number should come next?**

a. 7

b. 10

c. 12

d. 13

**17.
Look at this series: 14, 28, 20, 40, 32, 64, . . . What number should come next?**

a. 52

b. 56

c. 96

d. 128

**18.
Look at this series: 1.5, 2.3, 3.1, 3.9, . . . What number should come next?**

a. 4.2

b. 4.4

c. 4.7

d. 5.1

**19.
Look at this series: 5.2, 4.8, 4.4, 4, . . . What number should come next?**

a. 3

b. 3.3

c. 3.5

d. 3.6

**20.
Look at this series: 2, 1, 1/2, 1/4, . . . What numbershould come next?**

a.1/3

b.1/8

c. 2/8

d. 1/16

**Answers:**

**1.**
b. This is a simple addition series. Each number increases by 2.

**2.** b. This is a simple subtraction series. Each number is 6 less than the
previous number.

**3. **c. This is an alternation with repetition series in which each number
repeats itself and then increases by 7.

**4.** a. This is a simple subtraction series. Each number is 35 less than
the previous number.

**5.** d. In this addition series, 1 is added to the first number; 2 is added
to the second number; 3 is added to the third number; and so forth.

**6. **d. This is a simple addition series with a random number, 8,
interpolated as every other number. In the series, 6 is added to each number
except 8, to arrive at the next number.

**7.** a. This is an alternating addition and subtraction series. In the
first pattern, 10 is subtracted from each number to arrive at the next. In the
second, 5 is added to each number to arrive at the next.

**8.** b. This is an alternating number subtraction series. First, 2 is
subtracted, then 4, then 2, and so on.

**9.** c. In this simple alternating subtraction and addition series; 1 is
subtracted, then 2 is added, and so on.

**10.** d. This alternating addition series begins with 3; then 1 is added to
give 4; then 3 is added to give 7; then 1 is added, and so on.

**11.** a. This is a simple alternating subtraction series, which subtracts
2, then 5.

**12.** c. In this alternating repetition series, the random number 21 is
interpolated every other number into an otherwise simple addition series that
increases by 2, beginning with the number 9.

**13.** b. In this series, each number is repeated, then 13 issubtracted to
arrive at the next number. 14. c. This is a simple multiplication series. Each
number is 3 times more than the previous number.

**15.** a. This is a simple division series. Each number is divided by 5.

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

**17.** b. This is an alternating multiplication and subtracting series:
First, multiply by 2 and then subtract 8.

**18. **c. In this simple addition series, each number increases by 0.8.

**19.** d. In this simple subtraction series, each number decreases by 0.4.

**20. **b. This is a simple division series; each number is one-half of the
previous number.