Quiz Bundle – Inductive Reasoning

Observing the pattern, one can easily come to know that, the difference between consecutive terms is a prime number.

4 + 2 = 6
6 + 3 = 9
9 + 5 = 14
14 + 7 = 21
21 + 11 = 32.

Hence, the missing number will be 32.

Skip 3 letters for each letter of in the pair.

37  (+13)  50  (+15)  65  (+17)  82   (+19)  101

The number sequence starts at +13, then incrementally increases by 2 each time until it reaches +19 by the end of the sequence.

The solution of the series is as follows.
12
13
25 = 12 + 13
38 = 13 + 25
63 = 25 + 38
101 = 38 + 63
164 = 101 + 63

Hence, the correct answer is 63.

Here, every term is squares from (starting from 2 ) with the addition of 2.

2² + 2 = 6
3² + 2 =11
4² + 2 = 18
5² + 2 = 27
6² + 2 = 38

Hence, the correct answer is 38.

3    9    5   25   8   64   12   144   17

Every pair of numbers is just the square/square root of each other.

For example:

3 x 3 = 9, 5 x 5 = 25, 8 x 8 = 64, 12 x 12 = 144

Then the sequence starts at +2 then incrementally increases by 1 each time:

3  (+2)  5  (+3)  8  (+4)   12  (+5)  17

To identify the pattern in the sequence 3, 9, 19, 33, ?, let's examine the differences between consecutive terms:

9 - 3 = 6
19 - 9 = 10
33 - 19 = 14

We can see that the differences between consecutive terms are increasing by 4 each time. Therefore, we can continue the pattern by adding 4 to the last difference:

14 + 4 = 18

Now, to find the missing term, we add the last difference (18) to the last number in the sequence (33):

33 + 18 = 51

Hence, the missing term in the sequence is 51.

The pattern of the series is as shown below:

7 x 1 + 1 = 8
8 x 2 + 2 = 18
18 x 3 + 3 = 57
57 x 4 + 4 = 232
232 x 5 + 5 = 1165

Therefore, the missing term in the series is 1165.

The first letter of each term is moved one step forward, the second letter is moved four steps backward and the third letter is moved four steps forward to obtain the corresponding letters of the next term.

C   D   E   F   G   H   I   J   K   L  M

You skip one letter each time.

The series is based on subtraction of cubes of consecutive natural numbers.

225 - (5³) = 100
100 - (4³) = 36
36 - (3³) = 9
9 - (2³) = 1
1 - (1³) = 0

Therefore, the next number in the series is 0.

If we look at the differences between consecutive terms:

16 - 7 = 9
24 - 16 = 8
31 - 24 = 7
37 - 31 = 6

The differences are decreasing by 1 each time.

Using this pattern, the next term would be:

37 + 5 = 42

Therefore, the missing number in the sequence is 42.

8 - 7 = 1
16 - 8 = 8
43 -16 = 27

1, 8, 27 are cubes of 1, 2 and 3

So next difference must be cube of 4

So, ? - 43 = 4³ = 64

So, ? = 64 + 43 = 107

The series consists of a pattern of subtraction of consecutive even numbers which starts at 10.

The solution of the series is as follows.
2 + 2 = 4
4 + 2 = 6
6 + 2 = 8

Similarly,

29 - 4 = 25
25 - 4 = 21
21 - 4 = 17

Hence, the correct answer is 21.

To generate each term in the sequence, the multiplication factor decreases by 1 for each subsequent term.

Starting with the first term:
30 * 6 = 180
180 * 5 = 900
900 * 4 = 3600
3600 * 3 = 10800
10800 * 2 = 21600

Following this pattern, the next term would be:
21600 * 1 = 21600

Therefore, the missing number in the sequence is 21600.

Hence, the sequence is: 30, 180, 900, 3600, 10800, 21600.

AB   CD   EF   GH   IJ   KL   MN   OP   QR

You just skip 1 pair of letters each time.

Observing carefully one can come to know that this series is nothing but squares and cubes of numbers starting from 1.

1² = 1
2³ = 8
3² =  9
4³ =  64
5² =  25

Hence, 25 will be the answer.

The first letters of the triplets move 3, 4, 5, 6, 7 …. steps forward.
The second letters of the triplets move 5, 6, 7, 8, 9 … steps forward.
The third letters of the triplets move 7, 8, 9, 10 …. steps forward.

Hence, the next triplet of alphabets is ZKW.

First letters of each group are in the order + 5, + 6, +7 and so on, whereas the last letters of each group are in the order + 6, + 7, + 8 and so on.

After D, 4 letters are skipped and I follows after which 2 letters are skipped

Trend flows alternatively:
D(EFGH) I (JK) L(MNOP) Q (RS) T(UVWX) Y(ZA) B(CDEF) G(HI) J.

B   C   D   E   F   G   H   I   J   K   L

You skip one letter each time.

To find the pattern in the given sequence, let's examine it closely:

831, 842, 853, 864, 875, ...

Upon observation, it appears that the pattern involves adding 11 to the previous term to obtain the next term.

Starting from the second term:
831 + 11 = 842
842 + 11 = 853
853 + 11 = 864
864 + 11 = 875

Continuing this pattern:
875 + 11 = 886

Therefore, the missing number in the sequence is 886.

First letter of each term is + 4 letters ahead of the previous term. Similarly second term is + 5 terms ahead of the previous term.

The next number of this series is the multiplication of 3 with the previous one.

Alphabet Series - A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

• First two letters are BC in reverse i.e. CB. It is a term of 2 alphabets so next 2 alphabets D and E are skipped.
• Next term is FGH in reverse i.e. HGF. It is a term of 3 alphabets so next 3 alphabets I J and K are skipped.
• Next term is LMNO in reverse i.e. ONML. It is a term of 4 alphabets so next 4 alphabets P Q R and S are skipped.
• Next term should be TUVWX in reverse i.e. XWVUT. It should be 5 alphabets term.

The series is based on addition of cubes of consecutive natural numbers.

1 + (1³) = 2
2 + (2³) = 10
10 + (3³) = 37
37 + (4³) = 101
101 + (5³) = 226

Therefore, the next number in the series is 226.

Here, every term is multiplied by 5, and adding 2 to get the next term of the series.

1 × 5 + 2 = 7
7 ×  5 + 2 = 37
37 × 5 + 2 = 187
187 × 5 + 2 = 937
937 × 5 + 2 = 4687

Hence, 4,867 will be our answer.

The letters in the first, second, third and fourth terms are respectively moved one, two, three and four steps forward to obtain the letter in the subsequent terms.

On the other han, the sequence followed by the numbers is as follows: +3, +5, +7, +9.

Therefore, the missing term is 27P

Here the next alphabet skips alphabets in increasing order of 0, 1, 2, 3, etc.

• After E, 0 alphabets are skipped. So, we get F which is immediately next.
• After F, 1 alphabet skipped. So, we skip G which is next, and get H.
• After H, 2 alphabets are skipped. So, we skip I J and get K.
• After K, 3 alphabets skipped. So, we skip L M N, and get O.
• After O, 4 alphabets skipped. So, we skip P Q R S and get T.

In the given sequence 54, 18, 36, 12, 24, we can observe the following pattern:

• The first term, 54, is divided by 3 to get the second term, 18.
• The second term, 18, is multiplied by 2 to get the third term, 36.
• The third term, 36, is divided by 3 to get the fourth term, 12.
• The fourth term, 12, is multiplied by 2 to get the fifth term, 24.

Therefore, the pattern alternates between dividing by 3 and multiplying by 2.

To continue the pattern and find the missing term, we need to divide the fifth term, 24, by 3:

24 ÷ 3 = 8

Hence, the missing term in the sequence is 8.

The first letter of each term is moved three steps forward and the second letter is moved three steps backward to obtain the corresponding letters of the next term.

3   6   9   12   15   18

The pattern to the number sequence is to add 3 each time.

To determine the missing number in the sequence 6, 12, 24, 48, we need to identify the pattern between the given numbers.

If we observe the pattern, each number in the sequence is obtained by multiplying the previous number by 2:

6 * 2 = 12
12 * 2 = 24
24 * 2 = 48

Based on this pattern, we can assume that the next number in the sequence should be obtained by multiplying 48 by 2:

48 * 2 = 96

The series consists of a pattern of subtraction of prime numbers.

5 + 1 = 6

6 + 3 = 9

9 + 5 = 14

14 + 7 = 21

21 + 9 = 30.

Hence, the missing number here is 30.

Here, the series follows a pattern of the sum of consecutive odd numbers.

So, the complete number series is 5, 6, 9, 14, 21, 30.

Upon closer inspection, it appears that the sequence consists of two interleaved patterns.

If we separate the sequence into the two patterns, it becomes:

Pattern 1: 16, 17, 18, ... Pattern 2: 12, 11, ...

In Pattern 1, each term increases by 1.

In Pattern 2, each term decreases by 1.

Therefore, we can continue the sequence as follows:

Pattern 1: 16, 17, 18, 19, ... Pattern 2: 12, 11, 10, 9, ...

The next term in the sequence would be the next term in Pattern 2, which is 10.

Hence, the missing number in the sequence is 10.

To find the pattern in the given sequence, let's examine it closely:

831, 842, 853, 864, 875, ...

Upon observation, it appears that the pattern involves adding 11 to the previous term to obtain the next term.

Starting from the second term:
831 + 11 = 842
842 + 11 = 853
853 + 11 = 864
864 + 11 = 875

Continuing this pattern:
875 + 11 = 886

Therefore, the missing number in the sequence is 886.

The series consists of a pattern of addition of prime numbers.

Observing the pattern carefully, you will observe that, this series consist of 2 different series.

Let's point out them for ease of understanding —

Pattern 1:
1 + 4 = 5
5 + 4 = 9
9 + 4  = 13
13 + 4= 17.

Pattern 2:
30 – 4  = 26
26 – 4 = 22
22 – 4 = 18

Since we are looking for the next number in Pattern 1, the correct answer is 17.

C is the 3rd letter, F sixth, I ninth so next letter will be 12th, i.e. L.

The middle numerics are the squares of 2, 3, 4 and so on. So next numeric would be 25.

The last letter follow the order : U is 3rd letter after R, X is 3rd after U. So, R would be 3rd letter after ‘O’.

Therefore, the missing term = L25O.

This series is an alternating series, where a pattern following is +2, +4, +2, +4, and so on

2 + 2 = 4
4 + 4 = 8
8 + 2 = 10
10 + 4 = 14
14 + 2 = 16

Hence the next term will be 16.

To determine the missing number, we need to identify the pattern between the given numbers.

If we observe the differences between consecutive terms, we can see that the sequence is increasing by 5, 7, and 9 respectively.

3 + 5 = 8
8 + 7 = 15
15 + 9 = 24

Based on this pattern, we can assume that the next number in the sequence should increase by 11.

24 + 11 = 35

Therefore, the missing number in the sequence is 35.

The given sequence seems to have alternating patterns. Let's examine the sequence in parts:

Part 1: 3, 5, 8, 12

Looking at this sub-sequence, we can observe that each term is increasing by 2 more than the previous term: 3 + 2 = 5, 5 + 3 = 8, 8 + 4 = 12.

Part 2: 9, 25, 64, 144

Looking at this sub-sequence, we can observe that each term is a perfect square: 9 = 3², 25 = 5², 64 = 8², 144 = 12².

Now, let's combine these patterns and continue the sequence:

Part 1: 3, 5, 8, 12
Part 2: 9, 25, 64, 144

The next term in Part 1 would be 12 + 5 = 17, and the next term in Part 2 would be 289.

Since the given series ended at 144 (which is under Part 2), then that means we are looking for the next term in Part 1.

Therefore, the correct answer is 17.

The series is based on addition of squares of consecutive natural numbers.

1 + (1²) = 2
2 + (2²) = 6
6 + (3²) = 15
15 + (4²) = 31
31 + (5²) = 56

Therefore, the next term in the series is 56.

To find the pattern in the given sequence, let's examine the differences between consecutive terms:

20 - 15 = 5
30 - 20 = 10
45 - 30 = 15

Looking at the differences, we can observe that they are increasing by 5 each time: 5, 10, 15. Therefore, we can continue this pattern and calculate the next difference:

15 + 5 = 20

To find the next term in the sequence, we add this difference to the last term:

45 + 20 = 65

Therefore, the missing number in the sequence is 65.

Upon inspection, it appears that the sequence consists of two interleaved patterns.

If we separate the sequence into the two patterns, it becomes:

Pattern 1: 6, 7, 8, ... Pattern 2: 12, 11, 10, ...

In Pattern 1, each term increases by 1.

In Pattern 2, each term decreases by 1.

Hence, we can continue the sequence as follows:

Pattern 1: 6, 7, 8, 9, ... Pattern 2: 12, 11, 10, 9, ...

The next term in the sequence would be the next term in Pattern 1, which is 9.

Therefore, the missing number in the sequence is 9.

3   (+5)   8   (x6)   48   (+7)   55   (x8)   440   (+9)   449

The sequence alternates between adding and multiplying. The incremental increase is 1 each time.

To generate each term in the sequence, the multiplication factor increases by 1 for each subsequent term.

Starting with the first term:
21 * 5 = 105
105 * 6 = 630
630 * 7 = 4,410

Following this pattern, the next term would be:
4,410 * 8 = 35,280

Therefore, the missing number in the sequence is 35,280

Multiply each term by 5 to get the next term in the series.

2×5 = 10
10×5 = 50
50×5 = 250
250×5 = 1250
1250×5 = 6250

To find the pattern in the given sequence, let's examine the differences between consecutive terms:

16 - 10 = 6
28 - 16 = 12
52 - 28 = 24

Looking at the differences, we can observe that they are increasing by a factor of 2 each time: 6, 12, 24. Therefore, we can continue this pattern and calculate the next difference:

24 * 2 = 48

To find the next term in the sequence, we add this difference to the last term:

52 + 48 = 100

So, the missing number in the sequence is 100.

Here the first letters of the terms is C, H, N
H is 5^th letter from C
N is 6^th letter from H

So next has to be 7^th letter from N, which is the letter V

In the second letters we have Z, U, Q
U is 5^th letter from Z
Q is 4^th letter from U

So next has to be 3^rd letter from Q, which is the letter N

6   (x2)  12   (x3)   36   (x2)   72   (x3)   216  (x2)   432

The sequence alternates between multiplying by 2 and multiplying by 3.

Here, the terms are divided by 2 and 3 alternately.

So, missing term is obtained as 216/2 = 108

Observing patterns carefully, you will observe that, this series is based on two concepts one is squares and the other is a prime number.

5² = 25
7² = 49
11² = 121
13² = 169
17² = 289

Hence, the correct answer is 289

Here we see ups and downs in the series so there is a chance of 2 separate series.

Pattern 1: We can have 20 24 30 38 as one series

Pattern 2: And 4, 64, 196 as other series.

Both series occur alternately so the next term has to be of the second series.

In the first series, the difference is
24 - 20 = 4
30 - 24 = 6
38 - 30 = 8
So, the difference increases by 2

In the second series, We see they are squares i.e. 2², 8², 14²
8 - 2 = 6
14 - 8 = 6

So next number, ? - 14 has to be = 6

So, ? = 14 + 6 = 20

So next term is 20² = 400

15 + 2² = 19
19 + 3² = 28
28 + 4² = 44
44 + 5² = 69
69 + 6² = 105

To find the missing number in the given sequence, let's examine it closely:

8, 16, ?, 64, 128

Upon observation, it appears that the pattern involves doubling the previous term to obtain the next term.

Starting from the second term:
8 * 2 = 16
16 * 2 = 32
32 * 2 = 64
64 * 2 = 128

Therefore, the missing number in the sequence is 32.

Hence, the sequence is: 8, 16, 32, 64, 128.

If we observe the differences between consecutive terms, we can see that the sequence follows the pattern of adding consecutive integers starting from 3:

2 + 3 = 5
5 + 6 = 11
11 + 9 = 20

We can see that the difference between the numbers being added is increasing by 3 each time. Therefore, we can assume that the next difference should be 12.

20 + 12 = 32

Observing the pattern we get that the difference between consecutive terms is being doubled every time.

25 – 14 = 11
47 – 25 = 22
91 – 47 = 44
179 – 91 = 88

So, if 88 is doubled, we get 176.

Hence, 179 + 176 = 355

So the missing term is 355.

The series is based on subtraction of squares of consecutive natural numbers.

71 - (4²) = 55
55 - (3²) = 46
46 - (2²) = 42
42 - (1²) = 41

Therefore, the next number in the series is 41.

Clearly, the first, second and third letters of each term are respectively moved one, two and three steps forward to obtain the corresponding letters of the next term.

So, the next term is EJO.

The missing number in the sequence 4, 9, 16, 25 is the next perfect square after 25. The next perfect square after 25 is 36. Therefore, the correct answer is: 36

The pattern of this series is as follows:

-10 + ( 2² – 2 ) = -8
-8 + ( 4² – 2 ) = 6
6 + ( 6² – 2 ) = 40
40 +  ( 8² – 2 ) = 102
102 +  ( 10² – 2 ) =  200

Hence, the correct answer is 117.

Here, the series follows a pattern of the sum of consecutive odd numbers.

11 + 1 = 12
12 + 3 = 15
15 + 5 = 20
20 + 7 = 27
27 + 9 = 36.

Hence, the missing number would be 36.

Count +2 for each term every time

A >> C >> E >> G >> I
E >> G >> I >> K >> M

10 (+7)  17  (+9)  26  (+11)  37 (+13)  50

The number sequence starts at +7 then incrementally increases by 2 each time until it reaches +13 by the end of the sequence.

I   J   K   L   M   N   O   P   Q   R   S

You skip one letter each time.

To obtain each term in the sequence, we apply alternating addition and multiplication operations:

3 + 5 = 8
8 * 6 = 48
48 + 7 = 55
55 * 8 = 440
440 + 9 = 449

Therefore, the missing number in the sequence is 449.

A B A, B C B, C B C, D C D, E D E