ARITHMETIC APTITUDE: Find the Missing Number

• Start with 16.
• Multiply by 2 and add 1: 16 x 2 + 1 = 33.
• Multiply by 2 and subtract 1: 33 x 2 - 1 = 65.
• Multiply by 2 and add 1: 65 x 2 + 1 = 131.
• Multiply by 2 and subtract 1: 131 x 2 - 1 = 261.

Now, to find the next number in the sequence:

• Multiply by 2 and add 1: 261 x 2 + 1 = 523.

Therefore, according to the pattern, the next number in the sequence is 523.

Let's break down the given sequence into two separate series:

• The first series: 10, 13, 16, 19 - Each number increases by 3.
• The second series: 5, 10, 20, 40 - Each number is multiplied by 2.

1. First Series:
   • 10 + 3 = 13
   • 13 + 3 = 16
   • 16 + 3 = 19
2. Second Series:
   • 5 × 2 = 10
   • 10 × 2 = 20
   • 20 × 2 = 40

Therefore, 40 is the missing number in the sequence.

The given sequence appears to be a series of perfect squares:

• 1² = 1
• 2² = 4
• 3² = 9
• 4² = 16
• 5² = 25
• 6² = 36
• 7² = 49

The pattern suggests that each number in the sequence is the square of the next natural number. Therefore, the missing number is the square of the next natural number, which is 8² = 64.

Let's examine the sequence by multiplying each given number by 2, 3, 4, 5, and 6:

• 2 multiplied by 2 is 4
• 4 multiplied by 3 is 12
• 12 multiplied by 4 is 48
• 48 multiplied by 5 is 240
• 240 multiplied by 6 is 1440

Each number in the sequence is obtained by multiplying the previous number by the consecutive integers 2, 3, 4, 5, and 6.

Therefore, based on this pattern, the correct next number is 240 multiplied by 6, which is 1440.

Let's break down the given sequence into two separate series:

• The first series: 8, 11, 14, 17 - Each number increases by 3.
• The second series: 7, 12, 17, 22 - Each number increases by 5.

Now, let's see how each series progresses:

• 8 + 3 = 11
• 11 + 3 = 14
• 14 + 3 = 17
• 17 + 3 = 20

Therefore, the missing numbers in the sequence is 20.

The given sequence appears to be a list of prime numbers. The next prime number after 41 is 43.

• 8 multiplied by 3 is 24
• 24 divided by 2 is 12
• 12 multiplied by 3 is 36
• 36 divided by 2 is 18

It appears that the sequence alternates between multiplying by 3 and dividing by 2.

Now, to find the next number:

• 18 multiplied by 3 is 54

So, the next number in the sequence is obtained by multiplying 18 by 3:

• 54 divided by 2 is 27

Therefore, the missing number in the sequence is 27.

• 6 - 2 = 4
• 12 - 6 = 6
• 20 - 12 = 8
• 30 - 20 = 10
• 42 - 30 = 12
• 56 - 42 = 14

It appears that the differences between consecutive numbers follow an increasing pattern (2, 4, 6, 8, 10, 12, ...).

Now, to find the next difference:

• 14 + 2 = 16

Now, add this difference to the last number in the sequence:

• 56 + 16 = 72

Therefore, the missing number in the sequence is 72.

• 4 x (-2) is -8
• (-8) x (-2) is 16
• 16 x (-2) is -32
• (-32) x (-2) is 64

Following this pattern:

• 64 x (-2) is -128

Therefore, the missing number in the sequence is -128.

• (2³ - 1) = 7
• (3³ - 1) = 26
• (4³ - 1) = 63
• (5³ - 1) = 124
• (6³ - 1) = 215
• (7³ - 1) = 342

It seems that each number in the sequence is obtained by subtracting 1 from the cube of consecutive integers.

Now, to find the next number:

• (8³ - 1) = (512 - 1) = 511

Therefore, according to the pattern provided, the next number in the sequence is 511.

• 5 x 2 = 10
• 10 + 3 = 13
• 13 x 2 = 26
• 26 + 3 = 29
• 29 x 2 = 58
• 58 + 3 = 61

Following this pattern:

• 61 x 2 = 122

Therefore, according to the pattern provided, the missing number in the sequence is 122.

• (15 x 2) + 1 = 31
• (31 x 2) + 1 = 63
• (63 x 2) + 1 = 127
• (127 x 2) + 1 = 255

Following this pattern:

• (255 x 2) + 1 = 511

The given sequence appears to be the cubes of consecutive natural numbers:

• 1³ = 1
• 2³ = 8
• 3³ = 27
• 4³ = 64
• 5³ = 125
• 6³ = 216

To find the next number:

• 7³ = 343

• First series (addition):
• 3 + 3 = 6
• 6 + 3 = 9
• 9 + 3 = 12
• 12 + 3 = 15

• Second series (subtraction):
• 7 - 2 = 5
• 5 - 2 = 3
• 3 - 2 = 1
• 1 - 2 = -1 (missing number)

So, the pattern involves two separate series, one starting with 3 and adding 3 in each step, and the other starting with 7 and subtracting 2 in each step.

Therefore, the missing number in the sequence is indeed -1.

The given sequence follows a pattern where each number is the product of the consecutive integers from 1 to the position in the sequence:

• 1 x 2 = 2
• 2 x 3 = 6
• 3 x 4 = 12
• 4 x 5 = 20
• 5 x 6 = 30
• 6 x 7 = 42
• 7 x 8 = 56

Following this pattern:

• 8 x 9 = 72

So, the missing number in the sequence is indeed 72.