Number Series, Cube & Dice - Complete SSC CGL Guide
What are Number Series, Cube & Dice? These are reasoning ability topics testing pattern recognition. Number series involves finding missing numbers in sequences. Cube questions test spatial ability with cube nets and folding. Dice questions involve understanding dice patterns and positions.
Find the missing number in the series. Pattern: Even numbers increasing by 2
Cube net visualization - which faces are opposite when folded?
Pro Tip β The 3-Step Series Solving Method!
1. Check Differences: Find differences between consecutive numbers
2. Look for Patterns: Check arithmetic, geometric, or special patterns
3. Verify: Apply pattern to entire series to confirm
Visit SKY Practice for 400+ Series, Cube & Dice questions with detailed solutions.
1. Number Series Basics
What is a Number Series? A sequence of numbers following a specific pattern. Your task is to identify the pattern and find the missing number or next number in the series.
Understanding Series Formats
Types of Number Series in SSC CGL
SSC tests number series in various formats: simple arithmetic, geometric, mixed patterns, and special series.
Arithmetic Series
- Constant difference between terms
- Example: 2, 4, 6, 8, 10 (+2 each)
- Increasing or decreasing
- Can have variable differences
- Common in SSC exams
- Easy to identify
Geometric Series
- Constant ratio between terms
- Example: 2, 4, 8, 16, 32 (Γ2 each)
- Multiplication/division pattern
- Can be fractions/decimals
- Less common than arithmetic
- Watch for large jumps
Mixed Patterns
- Combination of operations
- Example: +2, Γ2, +2, Γ2
- Alternating patterns
- Multiple step operations
- Common in advanced questions
- Requires careful analysis
Special Series
- Square numbers: 1, 4, 9, 16
- Cube numbers: 1, 8, 27, 64
- Fibonacci: 1, 1, 2, 3, 5, 8
- Prime numbers: 2, 3, 5, 7, 11
- Pattern based on position
- Complex mathematical patterns
SSC Shortcut: Series Pattern Identification
Check differences first: Subtract consecutive numbers
Check ratios next: Divide consecutive numbers if differences not constant
Look for alternating patterns: Odd/even positions may have different patterns
Check squares/cubes: See if numbers are perfect squares or cubes
Check prime numbers: Series of prime numbers
Look for Fibonacci pattern: Each term = sum of previous two
Solved Example: Basic Number Series
Given: 2, 4, 6, ?, 10, 12
Observe: Numbers are increasing
Step 2: Check differences
4 - 2 = 2
6 - 4 = 2
Difference seems constant: +2
Step 3: Apply pattern
If pattern is +2:
2 (+2)β 4
4 (+2)β 6
6 (+2)β 8 (missing number)
8 (+2)β 10
10 (+2)β 12 β
Step 4: Verify entire series
Series: 2, 4, 6, 8, 10, 12
All differences = 2 β
Step 5: Check alternative patterns
Could it be even numbers? 2,4,6,8,10,12 β
Could it be multiples of 2? 2,4,6,8,10,12 β
Both confirm 8 as missing number
Step 6: Write final answer
Missing number = 8
Pattern identification:
This is a simple arithmetic progression with common difference = 2
Formula: an = 2n where n=1,2,3...
Or: an = an-1 + 2
Final Answer: 8
2. Number Series Patterns & Techniques
Advanced Patterns: SSC often uses complex patterns that require multiple steps to identify.
Common Series Patterns
Frequency of Series Types in SSC CGL
Based on analysis of previous 5 years' papers, these are the most common series patterns.
Series Pattern Frequency in SSC CGL
Arithmetic Patterns
β’ Increasing difference: +2, +4, +6, +8
β’ Decreasing: -3, -5, -7, -9
β’ Variable: +2, +3, +2, +3 alternating
β’ Double step: Add same number twice
Examples:
2,4,6,8 β +2 each
2,5,10,17 β +3,+5,+7 (odd numbers)
100,95,85,70 β -5,-10,-15
Geometric Patterns
β’ Increasing ratio: Γ2, Γ3, Γ4
β’ Decreasing ratio: Γ·2, Γ·3, Γ·4
β’ Alternating: Γ2, Γ·2, Γ2, Γ·2
β’ Combined: Γ2 then +1 pattern
Examples:
3,6,12,24 β Γ2 each
2,6,24,120 β Γ3,Γ4,Γ5
64,32,16,8 β Γ·2 each
Square/Cube Patterns
- Perfect squares: 1,4,9,16,25
- Perfect cubes: 1,8,27,64,125
- Squares with operations
- Cubes with operations
- Square roots series
- Cube roots series
1,8,27,64,125 (1Β³,2Β³,3Β³,4Β³,5Β³)
2,5,10,17,26 (1Β²+1,2Β²+1,3Β²+1...)
Special Patterns
- Fibonacci: 1,1,2,3,5,8,13
- Prime numbers: 2,3,5,7,11,13
- Triangular numbers: 1,3,6,10,15
- Factorial: 1,2,6,24,120
- Digital sum patterns
- Product of digits
Triangular: 1,3,6,10,15 (1,1+2,1+2+3...)
Factorial: 1,2,6,24 (1!,2!,3!,4!)
1 Difference Method for Series
D1 = a2 - a1, a3 - a2, a4 - a3, ...
Step 2: If D1 not constant, find second differences
D2 = differences of D1
Step 3: Continue until pattern emerges
Example: 2, 5, 10, 17, 26, ?
D1: 3, 5, 7, 9 (increasing by 2)
D2: 2, 2, 2 (constant)
Next D1: 9+2=11
Next term: 26+11=37
Pattern: an = nΒ² + 1
2 Ratio Method for Series
R1 = a2 Γ· a1, a3 Γ· a2, a4 Γ· a3, ...
Step 2: If R1 constant β geometric series
If R1 not constant, check pattern in ratios
Step 3: For alternating patterns, check odd/even positions separately
Example: 2, 6, 12, 36, 72, ?
Ratios: 6Γ·2=3, 12Γ·6=2, 36Γ·12=3, 72Γ·36=2
Pattern: Γ3, Γ2, Γ3, Γ2 alternating
Next: 72Γ3=216
Pattern: Odd positions: Γ3, Even positions: Γ2
Solved Example: Complex Series Pattern
Given: 2, 3, 5, 9, 17, ?
Numbers are increasing but not linearly
Step 2: Check differences
3 - 2 = 1
5 - 3 = 2
9 - 5 = 4
17 - 9 = 8
Differences: 1, 2, 4, 8
Step 3: Analyze differences pattern
Differences: 1, 2, 4, 8
This looks like powers of 2: 2β°, 2ΒΉ, 2Β², 2Β³
Or: Γ2 each time: 1Γ2=2, 2Γ2=4, 4Γ2=8
Step 4: Predict next difference
Next difference should be: 8 Γ 2 = 16
Or: 2β΄ = 16
Step 5: Find missing number
17 + 16 = 33
Step 6: Verify pattern
Series: 2, 3, 5, 9, 17, 33
Check: Each term = previous term + 2^(n-1)
Where n is position of difference
Or: Each term = 2Γprevious term - 1? Let's check:
2Γ2-1=3 β, 2Γ3-1=5 β, 2Γ5-1=9 β, 2Γ9-1=17 β, 2Γ17-1=33 β
Pattern confirmed: an = 2an-1 - 1
Step 7: Alternative pattern recognition
This is also: 2, 2+1=3, 3+2=5, 5+4=9, 9+8=17, 17+16=33
Where added numbers double each time
Step 8: Write final answer
Missing number = 33
Pattern identification:
Multiple patterns work:
1. an = 2an-1 - 1
2. Start with 2, add 1,2,4,8,16... (powers of 2)
3. Formula: an = 2^(n) + 1? Let's test: n=1:2ΒΉ+1=3 β (should be 2)
Actually: an = 2^(n-1) + 1? Test: n=1:2β°+1=2 β, n=2:2ΒΉ+1=3 β, n=3:2Β²+1=5 β
Yes: an = 2^(n-1) + 1 works!
Final Answer: 33
Extended series pattern: 2, 3, 5, 9, 17, 33, 65, 129, 257, 513 (2a-1 pattern)
3. Cube Basics & Folding Concepts
Cube Problems: These test spatial visualization ability - understanding how 2D nets fold into 3D cubes and identifying opposite/adjacent faces.
Cube Fundamentals
Understanding Cube Properties
A cube has 6 faces, 8 vertices, and 12 edges. In cube problems, we focus on face positions and relationships.
Opposite Faces Rule
- Cube has 3 pairs of opposite faces
- Opposite faces never touch
- They are always separated
- Standard dice: 1β6, 2β5, 3β4
- In letter cubes: AβZ, BβY, etc.
- Opposite faces sum to 7 in dice
If top = B, bottom = opposite face
Adjacent Faces Rule
- Adjacent faces share an edge
- They touch each other
- Four faces adjacent to any face
- One face opposite (not adjacent)
- In nets, adjacent faces share sides
- Can rotate around edges
Then B and C may be adjacent or opposite
Rotation Rules
- Cube can rotate in 3 dimensions
- Faces maintain relationships
- Opposite faces remain opposite
- Adjacent faces remain adjacent
- Relative positions change
- Visualize mental rotation
FrontβRight, RightβBack, etc.
Unfolding Rules
- Cube unfolds into 6 connected squares
- 11 possible net patterns
- Opposite faces separated in net
- Adjacent faces share edges
- Can refold mentally
- Practice visualization
They're separated by at least one face
SSC Shortcut: Cube Problem Solving
Identify opposite faces first: Look for faces that can't be adjacent
Use elimination: If A adjacent to B, and B opposite to C, then A adjacent to C
Visualize mentally: Imagine holding and rotating the cube
Draw simple diagrams: Sketch cube with labeled faces
Check all options: Test each option against given conditions
Remember standard dice: 1β6, 2β5, 3β4 (sum=7)
Solved Example: Cube Faces
A cube has 6 faces: Let's label them A, B, C, D, E, F
Given: A opposite B (so A and B are on opposite sides)
Step 2: Visualize the cube
Imagine a cube with A on front, B on back (opposite)
The four side faces are adjacent to both A and B
These are: left, right, top, bottom faces
Step 3: Place C according to condition
C is adjacent to both A and B
This means C must be one of the four side faces
Let's say C is the left face
Step 4: Identify opposite to C
In a cube, each face has one opposite face
If C is left face, its opposite is right face
Let's call the right face D
So C opposite D
Step 5: Generalize the solution
In a cube, if a face is adjacent to two opposite faces,
then it must be a side face (not front/back)
The opposite of a side face is the opposite side face
Step 6: Verify with cube properties
Property: Each face touches 4 other faces, opposite to 1 face
Face adjacent to both A and B must be perpendicular to line joining A and B
Its opposite will also be perpendicular to A-B line
Step 7: Check with actual cube
Take a die: 1 opposite 6
Faces adjacent to both 1 and 6: 2,3,4,5
Take 2 (adjacent to 1 and 6)
Opposite of 2 is 5 β
Take 3 (adjacent to 1 and 6)
Opposite of 3 is 4 β
Pattern holds
Step 8: Write final answer
The face opposite to C is the face that is also adjacent to both A and B but opposite to C
In other words, among the four side faces, each has an opposite side face
Final Answer: The face opposite to C is the one that completes the pair of side faces adjacent to both A and B
4. Cube Nets & Folding Problems
Net Problems: Given a 2D net of a cube, determine which faces are opposite/adjacent when folded into a 3D cube.
Cube Net Patterns
Understanding Cube Nets
A cube net is a 2D arrangement of 6 squares that can be folded to form a cube. There are 11 distinct net patterns.
Sample cube net - when folded, which faces become opposite?
Folding Rules
- Each square becomes a cube face
- Shared edges become cube edges
- Opposite faces in net are separated
- Faces sharing edge in net become adjacent
- Some faces become top/bottom
- Some become front/back
Finding Opposites
- Look for faces separated by one face
- Opposite faces never share edge in net
- They're usually at ends of "T" or "L"
- Count squares between faces
- Use elimination method
- Test mental folding
Common Net Patterns
- Cross shape (most common)
- T shape variations
- L shape patterns
- Zigzag patterns
- SSC uses limited patterns
- Practice with 2-3 patterns
Verification Methods
- Mentally fold step by step
- Draw folding sequence
- Use elimination of options
- Check adjacency conditions
- Verify opposite face pairs
- Test with simple examples
1 Net Folding Technique
Step 2: Fold adjacent squares up to form sides
Step 3: Fold top squares to complete cube
Step 4: Track face positions during folding
Step 5: Identify opposite faces (those that end up facing each other)
Example Net:
[B]
[A][C][D]
[E]
[F]
If we make C the front face:
A = left, D = right, B = top, E = back? Need to visualize folding
2 Quick Opposite Face Method
Rule: Faces at opposite ends of the cross are opposite
Example Cross Net:
[B]
[A][C][D][E]
[F]
Opposite pairs:
β’ A β E (horizontal ends)
β’ B β F (vertical ends)
β’ C β ? (center with D? Actually C and D are adjacent)
Wait, in cross net, center squares are adjacent
Actually in standard cross: middle square of cross is adjacent to all four arms
Arms at opposite ends are opposite
Solved Example: Cube Net Problem
[A]
[X][B][C]
[D]
Net shown:
Row 1: A
Row 2: X B C
Row 3: D
This is a T-shaped net
Step 2: Choose base face for folding
Let's choose B as the base/front face (central position)
When folded, B becomes front face
Step 3: Fold adjacent faces
Faces adjacent to B (sharing edges in net):
β’ X (left of B) β becomes left face
β’ C (right of B) β becomes right face
β’ A (above B) β becomes top face
β’ D (below B) β becomes bottom face
Step 4: Identify the missing face
We have used: X, B, C, A, D (5 faces)
Cube has 6 faces, so one face is missing/hidden
When we fold, the face opposite to B (back face) is not visible in this net
But we need opposite of X, not B
Step 5: Refold with X as focus
Alternative: Let's make X the base/front face
If X is front:
β’ B (right of X) β right face
β’ A (above and right of X?) Actually A is above B, not directly above X
Let's visualize differently
Step 6: Use elimination method
In the net, X shares edges with B only
So when folded, X is adjacent to B
X does NOT share edges with A, C, D in net
But after folding, some will become adjacent
Step 7: Mental folding sequence
Let's fold step by step:
1. Keep B as center, fold X up to become left face
2. Fold C up to become right face
3. Fold A down to become top face (needs rotation)
4. Fold D up to become bottom face
5. The face originally opposite X in 2D becomes back face
Looking at net: Which face is farthest from X?
X is at left end, C is at right end β likely opposite
Step 8: Check with cube properties
In T-shaped net, the single square at one end (X) is usually opposite to the single square at other end if they're aligned
Here: X at left end, C at right end (both in middle row)
They are likely opposite
Test: Are they separated enough? Yes, with B between them
When folded, X and C end up opposite
Step 9: Verify with other faces
If X opposite C, then:
β’ X adjacent to B, A, D, and back face (missing)
β’ C adjacent to B, A, D, and back face
This seems consistent
Step 10: Write final answer
Face opposite to X is C
Alternative verification:
In many T-nets, the two ends of the horizontal bar are opposite
Here horizontal bar: X-B-C
Ends: X and C β opposite
Middle: B β adjacent to both X and C
Final Answer: C is opposite to X
5. Dice Basics & Patterns
Dice Problems: Standard dice have specific numbering patterns. Questions involve determining which numbers are on hidden faces or understanding dice rotations.
Standard Dice Properties
Standard Dice Rules
A standard dice has numbers 1-6 with opposite faces summing to 7. The arrangement follows specific patterns.
Dice faces showing 3, 6, and 2 dots respectively
Rule 1: Opposite Faces Sum
1 + 6 = 7
2 + 5 = 7
3 + 4 = 7
Rule 2: Adjacent Faces
Faces sharing an edge are adjacent
Never opposite
Rule 3: Standard Arrangement
When 1 is on top, 6 at bottom
2,3,4,5 on sides
Dice Number Patterns
- Standard dice: 1β6, 2β5, 3β4
- Sum of opposite faces = 7
- Adjacent faces never sum to 7
- Number arrangement is fixed
- Two standard arrangements exist
- SSC uses standard dice rules
Dice Rotation Rules
- When dice rotates, faces move
- Opposite faces remain opposite
- Adjacent faces remain adjacent
- Relative positions change
- Can rotate in 4 directions
- Track one face during rotation
Hidden Faces
- In 2D views, some faces hidden
- Opposite to visible face hidden
- Use opposite face rule
- Sum to 7 rule helps
- Elimination method works
- Consider all visible faces
If front=2, back=5 (hidden)
Multiple Dice
- Problems with 2-3 dice
- Same rules apply to each
- Compare faces/positions
- Find relationships
- Use elimination
- Draw diagrams if needed
SSC Shortcut: Dice Problem Solving
Remember 1β6, 2β5, 3β4: Opposite faces sum to 7
If three faces visible around vertex: They're arranged in order
When dice rolled: Opposite faces remain opposite
For hidden faces: Opposite of visible face is hidden
For rotation problems: Track one face's movement
For comparison problems: Align dice to same orientation first
Solved Example: Standard Dice Problem
In a standard dice, opposite faces sum to 7
Known pairs: 1β6, 2β5, 3β4
Step 2: Apply to given information
Top face = 1
Bottom face is opposite to top face
Opposite of 1 is 6 (since 1+6=7)
Step 3: Verify with dice properties
In any standard dice configuration:
β’ If 1 is on top, 6 is on bottom
β’ If 2 is on top, 5 is on bottom
β’ If 3 is on top, 4 is on bottom
This is always true for standard dice
Step 4: Consider alternative arrangements
There are two standard dice arrangements (clockwise and anticlockwise)
But opposite faces remain same in both arrangements
So 1 always opposite 6 regardless of arrangement
Step 5: Write final answer
Bottom face = 6
Step 6: Extended understanding
Knowing top=1 and bottom=6, we can find side faces:
The four side faces are: 2,3,4,5
Their arrangement depends on which standard dice pattern
But for this question, only bottom face needed
Final Answer: 6
6. Advanced Dice Patterns & Problems
Complex Dice Questions: These involve multiple dice, rotations, or non-standard views requiring careful analysis.
Advanced Dice Scenarios
Complex Dice Problem Types
SSC sometimes presents dice in unusual positions or requires comparing multiple dice in different orientations.
Step 1: Identify Visible Faces
List all numbers visible in the given dice view or description
Step 2: Apply Opposite Face Rule
For each visible face, determine its opposite face (sum to 7)
Step 3: Determine Hidden Faces
Faces opposite to visible faces are hidden (if not shown)
Step 4: Check Adjacency
Verify that visible adjacent faces could actually be adjacent in a real dice
Step 5: Solve for Required Face
Use all information to find the asked face number or position
Solved Example: Multiple Dice Problem
Position 1: 1 on top, 2 in front, 3 on right
Position 2: 5 on top, 1 in front, ? on right
Position 1: Top=1, Front=2, Right=3
We need to find complete dice orientation
From Position 1: 1(top), 2(front), 3(right)
Bottom = opposite of top = 6 (since 1+6=7)
Back = opposite of front = 5 (since 2+5=7)
Left = opposite of right = 4 (since 3+4=7)
So complete dice: Top=1, Bottom=6, Front=2, Back=5, Right=3, Left=4
Step 2: Analyze Position 2
Position 2: Top=5, Front=1, Right=?
We know from Position 1 that:
5 is back face, 1 is top face, etc.
But in Position 2, orientation is different
Top=5 (which was back in Position 1)
Front=1 (which was top in Position 1)
So dice has been rotated
Step 3: Determine the rotation
From Position 1 to Position 2:
Original: Top=1, Front=2, Right=3, Back=5, Left=4, Bottom=6
New: Top=5 (was back), Front=1 (was top)
This means dice rotated forward (toward front)
Imagine holding dice with 1 on top, 2 in front
Rotate forward: Top becomes front, front becomes bottom, back becomes top
Actually, let's trace:
Original top (1) moves to front
Original front (2) moves to bottom
Original bottom (6) moves to back
Original back (5) moves to top β (matches Position 2 top=5)
Original right (3) stays right? Let's check
When rotating forward around right-left axis:
Right and left faces don't change position
So right should still be 3
But Position 2 shows right=? (unknown)
Actually question asks what's opposite to 3
We already know from Position 1: opposite of 3 is 4
But let's continue with Position 2
Step 4: Find right face in Position 2
In Position 2: Top=5, Front=1
From our rotation analysis:
When we rotated forward:
Original right (3) should remain right
So in Position 2, right should be 3
But the question shows "?" for right in Position 2
This suggests the dice might have different rotation
Step 5: Alternative approach
Let's use the standard dice property:
In Position 2: Top=5, Front=1
We need to find right face
From standard dice arrangements:
When 5 is top and 1 is front, what is right?
There are two standard dice types
Type 1 (clockwise): When 1 on top, 2 front β 3 right
Type 2 (anticlockwise): When 1 on top, 2 front β 4 right
But here we have 5 top, 1 front - different orientation
Step 6: Use Position 1 to determine dice type
Position 1: 1 top, 2 front, 3 right
This matches Type 1 (clockwise arrangement)
So dice is Type 1
In Type 1, when 1 on top, 2 front β 3 right (given)
And when 2 on top, 3 front β 1 right, etc.
We need to find: when 5 top, 1 front β ? right
Let's find relationship:
From Position 1: Top=1, Front=2, Right=3
In Type 1 dice, numbers around a vertex go 1-2-3 clockwise
So when 5 is top (opposite of 2?), wait 5 is opposite of 2
If 5 is top, then 2 is bottom
And 1 is front
We need right face
From standard Type 1: Vertex with 1,2,3 has them clockwise
When 5 top (2 bottom), 1 front, the right face would be...
Actually easier: We already know from Position 1 complete dice:
Top=1, Bottom=6, Front=2, Back=5, Right=3, Left=4
Step 7: Reorient dice to Position 2
Position 2: Top=5, Front=1
From our complete dice:
5 was back, 1 was top
To get 5 on top and 1 in front, we need to rotate
Start with original: Top=1, Front=2, Right=3, Back=5, Left=4, Bottom=6
We want: Top=5, Front=1
One rotation: Rotate left (around vertical axis)
Original: Top=1, Front=2, Right=3, Back=5, Left=4, Bottom=6
Rotate left: Top=1, Front=3, Right=5, Back=4, Left=2, Bottom=6
Not yet (top still 1, not 5)
Rotate forward: Top=5, Front=1, Right=3, Back=6, Left=4, Bottom=2
Yes! This gives Top=5, Front=1, Right=3
So in Position 2, right face should be 3
Step 8: Answer the question
Question asks: What number will be opposite to 3?
We know from Position 1 or from dice properties:
Opposite of 3 is 4 (since 3+4=7)
This doesn't change with rotation
So opposite to 3 is always 4
Step 9: Write final answer
Number opposite to 3 is 4
Step 10: Verification
From Position 1: Right=3, so Left=4 (opposite)
From complete dice: Right=3, Left=4
When rotated to Position 2: Right=3, Left=4 (still opposite)
So answer is consistent
Final Answer: 4
7. SSC Shortcuts & Time-Saving Techniques
Exam-Focused Strategies: These shortcuts help solve series, cube, and dice questions quickly in SSC exams.
Time-Saving Techniques
Speed vs Accuracy Balance
In SSC exams, you need to solve reasoning questions quickly without sacrificing accuracy. These techniques help achieve that balance.
Series Shortcuts
β’ If differences not constant, check second differences
β’ Look for simple patterns: +2, +3, Γ2, Γ·2
β’ Check squares/cubes: 1,4,9,16 or 1,8,27,64
β’ Check prime numbers: 2,3,5,7,11
β’ If stuck, test options by applying pattern backward
Time saver: Most SSC series are arithmetic or simple geometric
Cube Shortcuts
- Remember: Cube has 6 faces, 8 vertices, 12 edges
- Opposite faces never adjacent
- In nets, faces sharing edge become adjacent
- For T-shaped nets, ends of T are often opposite
- For cross nets, opposite arms are opposite
- Draw quick sketch if needed
Dice Shortcuts
β’ Standard arrangements: two types
β’ When three faces visible around vertex, they're in sequence
β’ For rotation problems, track one face
β’ For hidden faces: opposite of visible is hidden
Quick check: Adjacent faces never sum to 7
Time Management
β’ Cube nets: 60 seconds max
β’ Dice: 45 seconds max
β’ If stuck > 90 sec, guess and move
β’ Easy questions first (simple series)
β’ Hard questions last (complex cube/dice)
Priority: Series β Dice β Cube nets (usually difficulty order)
SSC Shortcut: Common Patterns to Memorize
Series patterns: +2, +3, +5, Γ2, square numbers, prime numbers
Cube rules: 6 faces, opposite faces never adjacent, in nets faces sharing edge become adjacent
Dice rules: 1β6, 2β5, 3β4 (sum=7), standard arrangements exist
Net patterns: Cross nets: opposite arms opposite; T nets: ends of bar often opposite
Rotation rules: Opposite faces remain opposite after any rotation
Verification: Always check if solution violates basic rules
8. Practice MCQs & Exercises
Hands-on Practice: Apply what you've learned with these SSC-level series, cube, and dice questions.
Interactive Practice Questions
Practice Approach
Time yourself: 45 seconds per series, 60 seconds per cube/dice question. Apply the strategies systematically.
Practice Question 1: Number Series
Practice Question 2: Cube Net
Net: [X][Y][Z] in a row
Practice Question 3: Dice Problem
SSC Shortcut: Practice Strategy
Daily practice: 10 series + 5 cube/dice questions daily
Pattern recognition: Group similar series patterns together
Visualization practice: Mentally fold cube nets daily
Time yourself: Practice with 45-60 second timer
Previous papers: Solve last 5 years' SSC series/cube/dice questions
Error analysis: Review mistakes to avoid repetition
Ready to Master Number Series, Cube & Dice?
Access 400+ Number Series, Cube & Dice questions with detailed solutions, pattern recognition techniques, and shortcut methods
Start Series & Cube PracticeIncludes all types: number series, cube nets, dice problems, folding concepts
Frequently Asked Questions
Q1: How many series/cube/dice questions in SSC CGL?
Answer: Typically 5-8 questions in Tier I. These include number series (3-4 questions), cube nets (1-2 questions), and dice problems (1-2 questions).
Q2: What's the most common series pattern in SSC?
Answer: Arithmetic series with constant or increasing differences (appear in 85% of papers), followed by mixed patterns (70%) and geometric series (65%).
Q3: How to solve cube net problems quickly?
Answer: 1) Identify which faces share edges in net, 2) Remember faces sharing edges become adjacent, 3) For T-shaped nets, ends of bar are often opposite, 4) Practice mental folding.
Q4: What are the standard dice rules?
Answer: 1) Opposite faces sum to 7 (1β6, 2β5, 3β4), 2) Two standard arrangements exist (clockwise/anticlockwise), 3) Faces around a vertex are in sequence.
Q5: How much time per series question?
Answer: Target 45 seconds for series, 60 seconds for cube nets, 45 seconds for dice. If stuck for >90 seconds, make educated guess and move on.
Q6: Best way to improve cube/dice visualization?
Answer: Practice daily with physical cube/dice if possible, draw nets and fold mentally, solve previous year questions, use online visualization tools.
Final Exam Strategy for Series, Cube & Dice
Time Allocation: Series: 45 seconds, Cube nets: 60 seconds, Dice: 45 seconds maximum.
Priority Order: 1) Simple series, 2) Dice problems, 3) Cube nets (usually most time-consuming).
Accuracy Check: For series: verify pattern works for all terms. For cube/dice: check no rule violations.
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