Lesson 4.1: Series Completion (Number & Letter Series).
Teacher’s Insight: The “Speed-Breaker” Strategy
Series questions in AMU and JMI are designed to break your flow. They look simple, so you spend time on them, but if the pattern isn’t obvious within 30 seconds, they become “time traps.”
My Analysis of the PYQs (2012–2025):
- AMU’s Favorite: “Wrong Term” and “Difference-Based” series. They love asking you to spot the one number that breaks the pattern (e.g., 27, 64, 125, 216, 333).
- JMI’s Favorite: “Continuous Pattern” (e.g., aa_bb_cc) and simple additive series.
- The “Trap”: Questions like “How many 6s are preceded by…” (Counting/Positional). These are easy but require intense focus to avoid silly counting errors.
Strategy:
- Rule of 30: If you don’t see the pattern in 30 seconds, skip and return later.
- Write it Down: Always write the difference between numbers above the series. It reveals the logic 90% of the time.
PART A: NUMBER SERIES (The 6 Patterns from PYQs)
Pattern 1: Step-Based Difference (The “Go-To” Method)
Logic: Calculate the difference between consecutive terms. If it’s not constant, check the difference of the difference.
- PYQ Example:
111, 100, 87, 72, 55, 36, ____- Step 1: Differences are
. - Logic: Consecutive odd numbers (or prime-like gaps).
- Next Gap:
. - Answer:

- Step 1: Differences are
- PYQ Example:
1, 6, 13, 22, 33, ?- Step 1: Differences are
. - Logic: Increasing odd numbers.
- Next Gap:
. - Answer:

- Step 1: Differences are
Pattern 2: The “Wrong Term” (Squares & Cubes)
Logic: Identify numbers near perfect squares (
) or cubes (
).
- PYQ Example:
27, 64, 125, 216, 333- Logic:
. - Check: Next should be
. - Error: The series has 333 instead of 343.
- Wrong Term: 333
- Logic:
Pattern 3: Alternating Series (Twin Series)
Logic: Two independent series are mixed into one. Look at odd positions (1st, 3rd, 5th) and even positions (2nd, 4th, 6th) separately.
- PYQ Example:
7, 10, 8, 11, 9, 12, ____- Series A (Odd positions):

- Series B (Even positions):

- Answer: 10
- Series A (Odd positions):
Pattern 4: Multiplication + Addition
Logic: The gap increases by a fixed multiple or a mix of operations.
- PYQ Example:
2, 7, 17, 32, 52, 77, ______- Gap:
. - Logic: Multiples of 5.
- Next Gap:
. - Answer:

- Gap:
Pattern 5: Product/Division Logic
Logic: Terms are generated by multiplying or dividing previous numbers.
- PYQ Example:
18, 2, 36, 3, 108, 4, ____- Logic: Group them in pairs? Or look at alternating?
- Actual Logic:
;
. - Next Step:

PART B: LETTER & ALPHA-NUMERIC SERIES
Pattern 1: Positional Jumps (A=1, B=2…)
Logic: Write down A to M (1-13) and N to Z (14-26). Count the jumps.
- PYQ Example:
R, U, X, A, D, ?- Gap: R (+3)
U (+3)
X (+3)
A (+3)
D (+3)
G - Answer: G
- Gap: R (+3)
Pattern 2: Group Increment
Logic: Check the first letter of each group, then the second.
- PYQ Example:
TEA, UFB, _______, WHD- 1st Letter: T
U
V
W - 2nd Letter: E
F
G
H - 3rd Letter: A
B
C
D - Answer: VGC
- 1st Letter: T
Pattern 3: Alpha-Numeric Mix
Logic: Solve numbers and letters separately.
- PYQ Example:
2 Z 5, 7 Y 7, 14 X 9, 23 W 11, 34 V 13, ?- 1st Number:

- Letter: Z
Y
X
W
V
U (Reverse order) - 2nd Number:
(Odd numbers) - Answer: 47 U 15
- 1st Number:
PART C: ODD ONE OUT (Classification)
Logic: Find the item that doesn’t fit the category.
- PYQ Example: Bible, Bhagavad Gita, Quran, Panchasheel
- Logic: Bible, Gita, and Quran are holy religious scriptures. Panchasheel is a set of political principles (foreign policy).
- Odd One: Panchasheel