In this type of test, a series of numbers or alphabetical letters are given in questions. The given series follows a certain rule and pattern throughout in given set. Therefore, you are required to recognize the pattern or rule and to complete the given series or find out the wrong one in the series.
Number Series
In this type of test, a number series is given, out of which one number or alphabet is missing. So you are required to complete the series by analyzing the applied rule or pattern.
Rule for the Number Series
Some of the standard rules followed in estimating the next term are given below:
 Each number may be the multiple of the other.
 In each number something may be added or deducted to get the second number and so on.
 The numbers may be divided to get the next number.
 The number may be squared to get the next one.
 The square root of the numbers may be taken to get the next number.
 Sometimes, odd numbers are followed or preceded by even numbers and vice versa.
 Sometimes, sometimes is added to get the next number and subtracted or divided or multiplied to get the next one.
 Sometimes, odd number is squared, the other multiplied thrice, fourth multiplied four times, etc. and then sometimes is added or subtracted.
Solved Example  Number Series
Question 1. 20, 32, 45, 59, 74, ?
(A) 95
(B) 90
(C) 85
(D) 79
Solution: The differences between the consecutive terms of the series are 12, 13, 14, 15, 16, …..
2^{nd} term = 1^{st} term + 12 = 20 + 12 = 32
3^{rd} term = 2^{nd} term + 13 = 32 + 13 = 45
4^{th} term = 3^{rd} term + 14 = 45 + 14 = 59
5^{th} term = 4^{th} term + 15 = 59 + 15 = 74
Thus, ? = 6^{th} term = 5^{th} term + 16 = 74 + 16 = 90
Hence, the answer is (B).
Question 2. 210, 195, 175, 150, 120, ?
(A) 75
(B) 80
(C) 85
(D) 90
Solution: The differences between the consecutive terms of the series are 15, 20, 25, 30, 35, …
2^{nd} term = 1^{st} term – 15 = 210 – 15 = 195
3^{rd} term = 2^{nd} term – 20 = 195 – 20 = 175
4^{th} term = 3^{rd} term – 25 = 175 – 25 = 150
5^{th} term = 4^{th} term – 30 = 150 – 30 = 120
Thus, ? = 6^{th} term – 35 = 120 – 35 = 85
Hence, the answer is (C).
Question 3. 3, 5, 10, 12, 24, 26, ?
(A) 52
(B) 30
(C) 28
(D) 48
Solution: Each odd term doubles the previous even term.
3th term = 2×2^{nd} term=2×5=10
5th term = 2×4^{th} term=2×12=24
Thus, = 7^{th} term = 2×6^{th} term=2×26=52
Hence, the answer is (A).
Hence, the answer is (A).
Question 5. 2, 6, 10; 5, 9, 13; 10, 14, 18; ?, ?, ?.
(A) 12, 14, 16
(B) 14, 17, 20
(C) 17, 21, 25
(D) 15, 20, 25
Solution: Each group have a common difference of 4 among its consecutive terms. Also the difference between the consecutive first term of each group is 3, 5, 7, etc.
Thus, ?, ?, ? = ( 10 + 7), (17 + 4), (21 + 4)
= 17, 21, 25,
Hence, the answer is (C).
Wrong Number
In this type, some numbers are arranged in a series and in sequence. One term in the series is wrong. You are asked to find out the wrong term, from the alternatives given. Therefore, you have to decipher a general pattern followed in the sequence, and then decide the wrong term accordingly.
Solved Example  Wrong Number
Question 1. 1, 11, 26, 49, 80, 122, 169, 227, 290, 361
(A) 49
(B) 26
(C) 80
(D) 122
Solution: The differences between the consecutive terms of the series are
5, 8, 11; 5, 8, 11; ………
∴ 2^{nd} term = 1^{st} term + 10 = 1 + 10 = 11
3^{rd} term = 2^{nd} term + 10 + 5 = 11 + 10 + 5 = 26
4^{th} term = 3^{rd} term + 10 + 5 + 8 = 26 + 10 + 5 + 8 = 49
5^{th} term = 4^{th} term + 10 + 5 + 8 + 11 = 49 + 10 + 5 + 8 + 11 = 83
Thus, fifth term should be 83 and not 80.
Hence, the answer is (C).
Question 2. 11, 5, 20, 12, 40, 26, 74, 54
(A) 5
(B) 20
(C) 26
(D) 40
Solution: The differences between odd terms are 9, 18, 36, ……….
3^{rd} term = 1^{st} term + 9 = 11 + 9 = 20
5^{th} term = 3^{rd} term + 18 = 20 + 18 = 38
7^{th} term = 5^{th} term + 36 = 38 + 36 = 74
Thus, 5^{th} term should be 38 and not 40.
Hence, the answer is (D).
Question 3. 3, 6, 5, 20, 7, 42, 9, 74
(A) 6
(B) 42
(C) 74
(D) 20
Solution: Differences between the even terms of the series are 14, 22, 30……
4^{th} term = 2^{nd} term + 14 = 6 + 14 = 20
6^{th} term = 4^{th} term + 22 = 20 + 22 = 42
8^{th} term = 6^{th} term + 30 = 42 + 30 = 72
Thus, 8^{th} term should be 72 and not 74.
Hence, the answer is (C).
Question 4. 19, 17, 14, 11, 7
(A) 14
(B) 17
(C) 11
(D) 19
Solution: The difference between odd terms of the series is 6.
3^{rd} term = 1^{st} term – 6 = 19 – 6 = 13
5^{th} term = 3^{rd} term – 6 = 13 – 6 = 7
Thus, 3^{rd} term should be 13 and not 14.
Hence, the answer is (A).
Alphabet Series
In such series, a series of alphabets is given, and which follow a pattern throughout in a series. Therefore, you have to decipher the pattern and complete the series, by choosing the correct alternative given in question.
Rules for the Alphabet Series
Some of the standard rules followed in estimating the next term in alphabet series are discussed below:
 Keep the order of letters with their respective numbers, i.e. A = 1 …Z = 26 and vice versa i.e. Z = 26 and vice versa i.e. Z = 1 … A = 26.
 When the counting is circular, after Z, the cycle will continue from A.
 Sometimes, letters are committed in sequence, e.g. ABC, EFG, Here D and H in sequence are omitted.
 Sometimes, equal number of letters are omitted, e.g. in ADG, two consecutive letters are omitted.
 One following the letter and the other preceding it may be organized e.g. in BCA, C follows B and A precedes B.
 Sometimes, there may be repetition of letters in a set order, e.g. in aab, abc, one letter is repeated twice, the next set could be ccd.
 Sometimes, numbers are mixed with letters, the number may refer to the position of the letters in the alphabet.
Solved Example  Alphabet Series
Question 1. ABXW, EFTS, ?, MNLK
(A) IJOP
(B) IJPO
(C) JIOP
(D) JIPO
Solution: First and second terms are in alphabetical order, while third and fourth term are in reverse order. Therefore, missing item is IJPO.
Hence, the answer is (B).
Question 2. A Z X B V T C R ?
(A) E, O
(B) O, Q
(C) F, O
(D) P, D
Solution: The first, fourth and seventh letters are in alphabetical order. Thus, tenth letter would be after C i.e. D. Also, second and third letters are in reverse order and so are the fifth and sixth letters.
Hence, the answer is (D).
Question 3. P3C, R5F, T8I, VI2, L, ?
(A) YI7O
(B) XI7M
(C) XI7O
(D) XI6O
Solution: The first letter of the terms are alternating. And the sequences is followed by the numbers is +2, +3, +4 …….. The last latter of the each term has moved three steps forward to the last letter, ? = XI7O
Hence, the answer is (C)
Question 4. AK, EO, IS, ? , QA, UE
(A) LV
(B) MW
(C) NX
(D) LW
(E) MV
Solution: The first and second letters of each term are skipped four steps forward to obtain the next term. ? = MW.
Hence, the answer is (B).
Symbol Series Questions from Previous Year Exams
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Question 1 of 25
1. Question
1 pointsIn these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.
SCD, TEF, UGH, _______, WKL
Correct
There are two alphabetical series here. The first series is with the first letters only: STUVW. The second series involves the remaining letters: CD, EF, GH, IJ, KL.
Incorrect
There are two alphabetical series here. The first series is with the first letters only: STUVW. The second series involves the remaining letters: CD, EF, GH, IJ, KL.

Question 2 of 25
2. Question
1 pointsFill the blank in the middle of the series or end of the series.
B_{2}CD, _____, BCD_{4}, B_{5}CD, BC_{6}D
Correct
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.
Incorrect
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.

Question 3 of 25
3. Question
1 pointsFill the blank in the middle of the series or end of the series.
FAG, GAF, HAI, IAH, ______
Correct
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.
Incorrect
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.

Question 4 of 25
4. Question
1 pointsFill the blank in the middle of the series or end of the series.
ELFA, GLHA, ILJA, _____, MLNA
Correct
The second and forth letters in the series, L and A, are static. The first and third letters consist of an alphabetical order beginning with the letter E.
Incorrect
The second and forth letters in the series, L and A, are static. The first and third letters consist of an alphabetical order beginning with the letter E.

Question 5 of 25
5. Question
1 pointsFill the blank in the middle of the series or end of the series.
CMM, EOO, GQQ, _____, KUU
Correct
The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U.
Incorrect
The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U.

Question 6 of 25
6. Question
1 pointsFill the blank in the middle of the series or end of the series.
ZA_{5}, Y_{4}B, XC_{6}, W_{3}D, _____
Correct
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.
Incorrect
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.

Question 7 of 25
7. Question
1 pointsFill the blank in the middle of the series or end of the series.
QPO, NML, KJI, _____, EDC
Correct
This series consists of letters in a reverse alphabetical order.
Incorrect
This series consists of letters in a reverse alphabetical order.

Question 8 of 25
8. Question
1 pointsFill the blank in the middle of the series or end of the series.
JAK, KBL, LCM, MDN, _____
Correct
This is an alternating series in alphabetical order. The middle letters follow the order ABCDE. The first and third letters are alphabetical beginning with J. The third letter is repeated as a first letter in each subsequent threeletter segment.
Incorrect
This is an alternating series in alphabetical order. The middle letters follow the order ABCDE. The first and third letters are alphabetical beginning with J. The third letter is repeated as a first letter in each subsequent threeletter segment.

Question 9 of 25
9. Question
1 pointsFill the blank in the middle of the series or end of the series.
BCB, DED, FGF, HIH, ___
Correct
This series consists of a simple alphabetical order with the first two letters of all segments: B, C, D, E, F, G, H, I, J, K. The third letter of each segment is a repetition of the first letter.
Incorrect
This series consists of a simple alphabetical order with the first two letters of all segments: B, C, D, E, F, G, H, I, J, K. The third letter of each segment is a repetition of the first letter.

Question 10 of 25
10. Question
1 pointsFill the blank in the middle of the series or end of the series.
P_{5}QR, P_{4}QS, P_{3}QT, _____, P_{1}QV
Correct
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.
Incorrect
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.

Question 11 of 25
11. Question
1 pointsFill the blank in the middle of the series or end of the series.
QAR, RAS, SAT, TAU, _____
Correct
In this series, the third letter is repeated as the first letter of the next segment. The middle letter, A, remains static. The third letters are in alphabetical order, beginning with R.
Incorrect
In this series, the third letter is repeated as the first letter of the next segment. The middle letter, A, remains static. The third letters are in alphabetical order, beginning with R.

Question 12 of 25
12. Question
1 pointsFill the blank in the middle of the series or end of the series.
DEF, DEF_{2}, DE_{2}F_{2}, _____, D_{2}E_{2}F_{3}
Correct
In this series, the letters remain the same: DEF.
The subscript numbers follow this series:
111, 112, 122, 222, 223, 233, 333, ...
Incorrect
In this series, the letters remain the same: DEF.
The subscript numbers follow this series:
111, 112, 122, 222, 223, 233, 333, ...

Question 13 of 25
13. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern
Correct
This is an alternating series. In the first segment, the letter "E" faces right, then down, then right. In the second segment, the letters all face down. To follow this pattern, in the fourth segment, the letters must all face up.
Incorrect
This is an alternating series. In the first segment, the letter "E" faces right, then down, then right. In the second segment, the letters all face down. To follow this pattern, in the fourth segment, the letters must all face up.

Question 14 of 25
14. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern.
Correct
Notice that in each segment, the figures are all the same shape, but the one in the middle is larger than the two on either side. Also, notice that one of the figures is shaded and that this shading alternates first right and then left. To continue this pattern in the third segment, you will look for a square. Choice b is correct because this choice will put the large square between the two smaller squares, with the shading on the right.
Incorrect
Notice that in each segment, the figures are all the same shape, but the one in the middle is larger than the two on either side. Also, notice that one of the figures is shaded and that this shading alternates first right and then left. To continue this pattern in the third segment, you will look for a square. Choice b is correct because this choice will put the large square between the two smaller squares, with the shading on the right.

Question 15 of 25
15. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern
Correct
Look at each segment. You will notice that in each, the figure on the right and the figure on the left are the same; the figure in between is different. To continue this pattern in the last segment, the diamond on the left will be repeated on the right. Choice a is the only possible answer.
Incorrect
Look at each segment. You will notice that in each, the figure on the right and the figure on the left are the same; the figure in between is different. To continue this pattern in the last segment, the diamond on the left will be repeated on the right. Choice a is the only possible answer.

Question 16 of 25
16. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern
Correct
This sequence concerns the number of sides on each figure. In the first segment, the three figures have one side, and then two sides, and then three sides. In the second segment, the number of sides increases and then decreases. In the third segment, the number of sides continues to decrease.
Incorrect
This sequence concerns the number of sides on each figure. In the first segment, the three figures have one side, and then two sides, and then three sides. In the second segment, the number of sides increases and then decreases. In the third segment, the number of sides continues to decrease.

Question 17 of 25
17. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern
Correct
Look for opposites in this series of figures. The first and second segments are opposites of each other. The same is true for the third and fourth segments.
Incorrect
Look for opposites in this series of figures. The first and second segments are opposites of each other. The same is true for the third and fourth segments.

Question 18 of 25
18. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern
Correct
All four segments use the same figures: two squares, one circle, and one triangle. In the first segment, the squares are on the outside of the circle and triangle. In the second segment, the squares are below the other two. In the third segment, the squares on are the inside. In the fourth segment, the squares are above the triangle and circle.
Incorrect
All four segments use the same figures: two squares, one circle, and one triangle. In the first segment, the squares are on the outside of the circle and triangle. In the second segment, the squares are below the other two. In the third segment, the squares on are the inside. In the fourth segment, the squares are above the triangle and circle.

Question 19 of 25
19. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern
Correct
In this series, the shaded part inside the circle gets larger and then smaller.
Incorrect
In this series, the shaded part inside the circle gets larger and then smaller.

Question 20 of 25
20. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern.
Correct
Look at each segment. In the first segment, the arrows are both pointing to the right. In the second segment, the first arrow is up and the second is down. The third segment repeats the first segment. In the fourth segment, the arrows are up and then down. Because this is an alternating series,the two arrows pointing right will be repeated, so option b is the only possible choice.
Incorrect
Look at each segment. In the first segment, the arrows are both pointing to the right. In the second segment, the first arrow is up and the second is down. The third segment repeats the first segment. In the fourth segment, the arrows are up and then down. Because this is an alternating series,the two arrows pointing right will be repeated, so option b is the only possible choice.

Question 21 of 25
21. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern.
Correct
This is an alternating series. The first and third segments are repeated. The second segment is simply upside down.
Incorrect
This is an alternating series. The first and third segments are repeated. The second segment is simply upside down.

Question 22 of 25
22. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern.
Correct
In each of the segments, the figures alternate between onehalf and onefourth shaded.
Incorrect
In each of the segments, the figures alternate between onehalf and onefourth shaded.

Question 23 of 25
23. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern.
Correct
Study the pattern carefully. In the first segment, two letters face right and the next two face left. The first letter in the second segment repeats the last letter of the previous segment. The same is true for the third segment. But the forth segment changes again; it is the opposite of the first segment, so the last two letters must face right.
Incorrect
Study the pattern carefully. In the first segment, two letters face right and the next two face left. The first letter in the second segment repeats the last letter of the previous segment. The same is true for the third segment. But the forth segment changes again; it is the opposite of the first segment, so the last two letters must face right.

Question 24 of 25
24. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern.
Correct
In this series, the figures increase the amount of shading by onefourth and, once a square is completely shaded, starts over with an unshaded square. In the second segment, you will notice that the figure goes from completely shaded to completely unshaded. This is why choice a is the correct choice.
Incorrect
In this series, the figures increase the amount of shading by onefourth and, once a square is completely shaded, starts over with an unshaded square. In the second segment, you will notice that the figure goes from completely shaded to completely unshaded. This is why choice a is the correct choice.

Question 25 of 25
25. Question
1 pointsLook carefully at the sequence of symbols to find the pattern. Select correct pattern.
Correct
Each arrow in this continuing series moves a few degrees in a clockwise direction. Think of these arrows as the big hand on a clock. The first arrow is at noon. The last arrow before the blank would be 12:40. Choice b, the correct answer, is at 12:45.
Incorrect
Each arrow in this continuing series moves a few degrees in a clockwise direction. Think of these arrows as the big hand on a clock. The first arrow is at noon. The last arrow before the blank would be 12:40. Choice b, the correct answer, is at 12:45.
Symbol Series Video Lecture
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