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11+ · GL ASSESSMENT

EP.V51 Verbal Reasoning: Sequences Set 3

GL ASSESSMENT GL-style-VR · Calculators not allowed · about 30 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Each question in this set shows a sequence of letters, a series of numbers, an alphabet position puzzle, or a mixed letter-and-number code, and each follows its own hidden rule. Work out the rule connecting the terms you are given (a fixed step, a growing or shrinking gap, a doubling rule, an alternating pattern, or a rule linking a letter to its position number), then choose the option, A to E, that continues the pattern correctly. This is the third set in the series and includes some deliberately trickier two-step and interleaved patterns. Every question is worth 1 mark.

Worked example. Find the letter that continues the sequence: B, E, H, K, ( ? ) A) M B) N C) L D) O E) P Answer: B) N. Each letter's position increases by 3: B=2, E=5, H=8, K=11. Adding 3 more gives 14, which is N. Option A (M=13) adds only 2; option C (L=12) adds only 1; option D (O=15) adds 4; option E (P=16) adds 5, all missing the true step of 3.

Find the letter that continues the sequence: D, F, H, J, ( ? )

A) K
B) M
C) L
D) J
E) N

(Total for Question 1 is 1 mark)

Find the letter that continues the sequence: Y, W, U, S, ( ? )

A) R
B) P
C) S
D) Q
E) O

(Total for Question 2 is 1 mark)

Find the letter that continues the sequence: H, G, F, E, ( ? )

A) C
B) D
C) E
D) B
E) F

(Total for Question 3 is 1 mark)

Find the next number in this series: 4, 8, 12, 16, ( ? )

A) 18
B) 22
C) 20
D) 24
E) 19

(Total for Question 4 is 1 mark)

Find the next number in this series: 60, 54, 48, 42, ( ? )

A) 38
B) 34
C) 30
D) 36
E) 40

(Total for Question 5 is 1 mark)

Using A=1, B=2, C=3, and so on, what is the position number of the letter Q?

A) 16
B) 18
C) 17
D) 15
E) 19

(Total for Question 6 is 1 mark)

Find the letter that continues the sequence: E, H, K, N, ( ? )

A) P
B) R
C) O
D) Q
E) S

(Total for Question 7 is 1 mark)

Find the letter that continues the sequence: V, S, P, M, ( ? )

A) K
B) I
C) M
D) J
E) G

(Total for Question 8 is 1 mark)

Find the letter that continues the sequence: C, D, F, G, I, J, ( ? )

A) K
B) L
C) M
D) J
E) N

(Total for Question 9 is 1 mark)

Find the letter that continues the sequence: Y, X, V, U, S, R, ( ? )

A) Q
B) P
C) O
D) R
E) N

(Total for Question 10 is 1 mark)

Find the term that continues the sequence: GG, HH, II, JJ, ( ? )

A) JJ
B) LL
C) KK
D) KJ
E) IJ

(Total for Question 11 is 1 mark)

Find the next number in this series: 7, 11, 15, 19, ( ? )

A) 21
B) 25
C) 22
D) 23
E) 27

(Total for Question 12 is 1 mark)

Find the next number in this series: 3, 6, 12, 24, ( ? )

A) 36
B) 30
C) 48
D) 42
E) 26

(Total for Question 13 is 1 mark)

Find the next number in this series: 90, 80, 70, 60, ( ? )

A) 55
B) 40
C) 45
D) 50
E) 52

(Total for Question 14 is 1 mark)

Find the next number in this series: 400, 200, 100, 50, ( ? )

A) 20
B) 30
C) 10
D) 25
E) 45

(Total for Question 15 is 1 mark)

Find the next number in this series: 6, 9, 13, 18, ( ? )

A) 22
B) 25
C) 23
D) 24
E) 21

(Total for Question 16 is 1 mark)

Find the next number in this series: 2, 9, 16, 23, ( ? )

A) 28
B) 32
C) 29
D) 30
E) 33

(Total for Question 17 is 1 mark)

Find the next number in this series: 1, 3, 9, 27, ( ? )

A) 30
B) 54
C) 81
D) 84
E) 78

(Total for Question 18 is 1 mark)

Find the next number in this series: 3, 4, 8, 9, 13, 14, ( ? )

A) 15
B) 19
C) 17
D) 18
E) 22

(Total for Question 19 is 1 mark)

Find the next number in this series: 50, 44, 47, 41, 44, 38, ( ? )

A) 35
B) 32
C) 41
D) 44
E) 45

(Total for Question 20 is 1 mark)

Using A=1, B=2, C=3, and so on, which letter has the position number 8?

A) G
B) I
C) H
D) F
E) J

(Total for Question 21 is 1 mark)

Using A=1, B=2, C=3, and so on, what is the position number of the letter U?

A) 20
B) 22
C) 21
D) 19
E) 23

(Total for Question 22 is 1 mark)

Which letter is 6 positions after the letter C in the alphabet?

A) H
B) J
C) I
D) G
E) K

(Total for Question 23 is 1 mark)

Which letter is 5 positions before the letter W in the alphabet?

A) S
B) Q
C) R
D) T
E) P

(Total for Question 24 is 1 mark)

Which letter lies exactly halfway between B and R in the alphabet, based on their position numbers?

A) I
B) K
C) J
D) T
E) A

(Total for Question 25 is 1 mark)

Add together the position numbers of the letters F and O. Which letter has that resulting position number?

A) T
B) V
C) U
D) I
E) W

(Total for Question 26 is 1 mark)

Take the position number of the letter K, double it, then subtract 3. Which letter has the resulting position number?

A) R
B) T
C) S
D) H
E) Y

(Total for Question 27 is 1 mark)

Start with a letter's position number. Add 9, then subtract 3. The result equals the position number of the letter P. Which was the starting letter?

A) I
B) K
C) J
D) H
E) G

(Total for Question 28 is 1 mark)

The letter H comes a certain number of places before O in the alphabet. Which letter comes that same number of places after O?

A) U
B) W
C) V
D) T
E) X

(Total for Question 29 is 1 mark)

Find the term that continues this code sequence: D4, F7, H10, J13, ( ? )

A) L15
B) K16
C) L16
D) L17
E) N16

(Total for Question 30 is 1 mark)

Find the term that continues this code sequence: 3B, 7D, 11F, 15H, ( ? )

A) 15J
B) 19H
C) 19J
D) 23J
E) 19L

(Total for Question 31 is 1 mark)

Find the letter that continues this sequence, which is built from two interleaved patterns: C, N, E, L, G, J, ( ? )

A) H
B) I
C) K
D) G
E) J

(Total for Question 32 is 1 mark)

Find the next number in this series: 6, 13, 27, 55, 111, ( ? )

A) 222
B) 220
C) 223
D) 224
E) 112

(Total for Question 33 is 1 mark)

Find the term that continues this sequence, built from two interleaved series: 4, 90, 7, 84, 10, 78, 13, ( ? )

A) 16
B) 75
C) 72
D) 66
E) 78

(Total for Question 34 is 1 mark)

Using the normal alphabet, find the letter that is 4 places after M. Then, using the reverse code where Z=1, Y=2, and so on down to A=26, give that letter's reverse-code number.

A) 17
B) 9
C) 10
D) 16
E) 11

(Total for Question 35 is 1 mark)

Find the next number in this series: 4, 8, 13, 26, 31, 62, ( ? )

A) 65
B) 124
C) 67
D) 68
E) 66

(Total for Question 36 is 1 mark)

Find the term that continues this code sequence: 3C, 6F, 12I, 24L, ( ? )

A) 48M
B) 40O
C) 48O
D) 48Q
E) 56O

(Total for Question 37 is 1 mark)

Find the position number of the letter S. Subtract the position number of the letter F. Then give the letter that has this new position number.

A) L
B) N
C) M
D) K
E) Y

(Total for Question 38 is 1 mark)

Find the letter that continues the sequence, based on the position numbers: B, C, E, G, K, ( ? )

A) L
B) N
C) M
D) Q
E) K

(Total for Question 39 is 1 mark)

Find the letter that continues the sequence: C, E, I, Q, ( ? )

A) Z
B) H
C) G
D) F
E) Y

(Total for Question 40 is 1 mark)

Mark scheme · EP.V51 Verbal Reasoning: Sequences Set 3

Question 1

B1 C) L - the letters move up the alphabet in steps of two (D, F, H, J, L); cao
Answer: C) L

Question 2

B1 D) Q - the letters move back through the alphabet in steps of two (Y, W, U, S, Q); cao
Answer: D) Q

Question 3

B1 B) D - the letters move back through the alphabet one at a time (H, G, F, E, D); cao
Answer: B) D

Question 4

B1 C) 20 - each term increases by 4 (4, 8, 12, 16, 20); cao
Answer: C) 20

Question 5

B1 D) 36 - each term decreases by 6 (60, 54, 48, 42, 36); cao
Answer: D) 36

Question 6

B1 C) 17 - Q is the 17th letter of the alphabet; cao
Answer: C) 17

Question 7

B1 D) Q - each letter's position increases by three (E=5, H=8, K=11, N=14, Q=17); cao
Answer: D) Q

Question 8

B1 D) J - each letter's position decreases by three (V=22, S=19, P=16, M=13, J=10); cao
Answer: D) J

Question 9

B1 B) L - the gaps alternate +1, +2, +1, +2, so after J (a +1 step) the next step is +2; cao
Answer: B) L

Question 10

B1 B) P - the gaps alternate -1, -2, -1, -2, so after R (a -1 step) the next step is -2; cao
Answer: B) P

Question 11

B1 C) KK - each letter is written twice, and the doubled letter moves on by one each time (GG, HH, II, JJ, KK); cao
Answer: C) KK

Question 12

B1 D) 23 - each term increases by 4 (7, 11, 15, 19, 23); cao
Answer: D) 23

Question 13

B1 C) 48 - each term doubles the one before it (3, 6, 12, 24, 48); cao
Answer: C) 48

Question 14

B1 D) 50 - each term decreases by 10 (90, 80, 70, 60, 50); cao
Answer: D) 50

Question 15

B1 D) 25 - each term is halved (400, 200, 100, 50, 25); cao
Answer: D) 25

Question 16

B1 D) 24 - the gaps grow by one each time (+3, +4, +5), so the next gap is +6; cao
Answer: D) 24

Question 17

B1 D) 30 - each term increases by 7 (2, 9, 16, 23, 30); cao
Answer: D) 30

Question 18

B1 C) 81 - each term is multiplied by 3 (1, 3, 9, 27, 81); cao
Answer: C) 81

Question 19

B1 D) 18 - the gaps alternate +1, +4, +1, +4, so after 14 (a +1 step) the next step is +4; cao
Answer: D) 18

Question 20

B1 C) 41 - the gaps alternate -6, +3, -6, +3, so after 38 (a -6 step) the next step is +3; cao
Answer: C) 41

Question 21

B1 C) H - position 8 in the alphabet is the letter H; cao
Answer: C) H

Question 22

B1 C) 21 - U is the 21st letter of the alphabet; cao
Answer: C) 21

Question 23

B1 C) I - C is position 3, and 3+6=9, which is the letter I; cao
Answer: C) I

Question 24

B1 C) R - W is position 23, and 23-5=18, which is the letter R; cao
Answer: C) R

Question 25

B1 C) J - the average of B's position (2) and R's position (18) is 10, which is the letter J; cao
Answer: C) J

Question 26

B1 C) U - F is position 6 and O is position 15, and 6+15=21, which is the letter U; cao
Answer: C) U

Question 27

B1 C) S - K is position 11; 11x2=22, and 22-3=19, which is the letter S; cao
Answer: C) S

Question 28

B1 C) J - P is position 16, and working backwards (16-9+3=10) gives position 10, which is the letter J; cao
Answer: C) J

Question 29

B1 C) V - H is 7 places before O (8 to 15), so the answer is 7 places after O (15+7=22), which is V; cao
Answer: C) V

Question 30

B1 C) L16 - the letters move on two places each time (D, F, H, J, L) and the numbers increase by three each time (4, 7, 10, 13, 16); cao
Answer: C) L16

Question 31

B1 C) 19J - the numbers increase by four each time (3, 7, 11, 15, 19) and the letters move on two places each time (B, D, F, H, J); cao
Answer: C) 19J

Question 32

B1 B) I - the 1st, 3rd and 5th terms (C, E, G) move on two places each time, so the 7th term continues that pattern to I; cao
Answer: B) I

Question 33

B1 C) 223 - each term is doubled and then 1 is added (6x2+1=13, 13x2+1=27, 27x2+1=55, 55x2+1=111, 111x2+1=223); cao
Answer: C) 223

Question 34

B1 C) 72 - the 2nd, 4th and 6th terms (90, 84, 78) decrease by six each time, so the 8th term continues that pattern to 72; cao
Answer: C) 72

Question 35

B1 C) 10 - M is position 13, so 4 places after M is Q (position 17); converting to the reverse code gives 26-17+1=10; cao
Answer: C) 10

Question 36

B1 C) 67 - the terms alternate doubling and adding 5 (4x2=8, 8+5=13, 13x2=26, 26+5=31, 31x2=62, 62+5=67); cao
Answer: C) 67

Question 37

B1 C) 48O - the numbers double each time (3, 6, 12, 24, 48) and the letters move on three places each time (C, F, I, L, O); cao
Answer: C) 48O

Question 38

B1 C) M - S is position 19 and F is position 6, and 19-6=13, which is the letter M; cao
Answer: C) M

Question 39

B1 C) M - the position numbers 2, 3, 5, 7, 11 are the prime numbers in order, and the next prime after 11 is 13, which is M; cao
Answer: C) M

Question 40

B1 C) G - the gaps double each time (+2, +4, +8), so the next gap is +16; since the alphabet only has 26 letters, position 33 wraps around to position 7, which is G; cao
Answer: C) G

Verbal Reasoning: Sequences Set 3 - Worksheets, Questions and Revision