Number Analogy Questions for SSC CGL

What is Number Analogy

Number Analogy presents a relationship between two numbers and asks you to apply the same relationship to a third number to find the fourth. The relationship can be arithmetic (add, subtract, multiply, divide), geometric (powers, roots), or logical (digit sum, prime factors, position in sequence). Your job is to identify the rule linking the first pair, then apply it to the second pair. Unlike word analogies, number analogies are deterministic—there is always one correct mathematical operation.

• Format: A:B::C:D or A:B::C:? (find D)
• Rule can be single operation (e.g., multiply by 3) or compound (e.g., square and add 1)
• Always test your rule on the first pair before applying to the second
• Multiple operations may seem to work—pick the simplest and most elegant
• Watch for tricks: negative numbers, decimals, zero, and 1 are common traps

Common Relationship Patterns

SSC CGL favors certain patterns repeatedly. Learning these patterns cuts your solving time dramatically. Most questions fall into 5-6 categories. Once you spot the pattern, the answer follows immediately. The key is rapid pattern recognition under time pressure.

• Arithmetic: A + k = B, then C + k = D (e.g., 5:8::10:13, rule is +3)
• Multiplicative: A × k = B, then C × k = D (e.g., 2:8::3:12, rule is ×4)
• Power/Square: A^2 = B, then C^2 = D (e.g., 3:9::5:25)
• Digit sum: Sum of digits of A = B, then sum of digits of C = D
• Composite: A + B = C, then D + E = F (Fibonacci-like, rare but appears)
• Reverse/Rearrange: Digits of A rearranged = B, then digits of C rearranged = D

Step-by-Step Solving Method

A systematic approach prevents careless errors and saves time. Always follow this sequence: first identify the operation, verify it works on the given pair, then apply it. Never jump to the answer without verification. In SSC CGL, 20-30 seconds per question is the target.

• Step 1: Look at the first pair (A:B). Ask: is B larger or smaller than A?
• Step 2: Try simple operations first—addition, multiplication, squaring. Avoid complex rules.
• Step 3: Verify your rule works for A→B. Do the math twice.
• Step 4: Apply the same rule to C to find D. Write it down.
• Step 5: Check D against the options. If no match, reconsider your rule.
• Step 6: If stuck, try reverse operations (e.g., if A×k=B, check if B÷A=k)

Tricky Patterns to Watch

SSC CGL setters love to hide the rule. These patterns appear less frequently but catch unprepared aspirants. Recognizing them instantly saves you from guessing.

• Alternating operations: A+1=B, C+2=D (or A×2=B, C×3=D)
• Position-based: Rule depends on position of number in sequence or digit position
• Prime factors: Count of prime factors, or product of prime factors
• Palindrome/Mirror: Number reads same forwards and backwards
• Modular arithmetic: Remainder when divided by a number (e.g., A mod 5 = B)
• Digit manipulation: Reverse digits, sum digits, multiply digits

Common Mistakes in SSC CGL Papers

These are the exact errors that cost marks in live exams. Awareness is your shield.

• Misreading the question format—confusing A:B::C:D with A:B::D:C
• Testing rule on only one pair and assuming it works for all
• Choosing the first operation that seems to fit without checking alternatives
• Arithmetic errors under time pressure—always double-check multiplication and division
• Ignoring negative numbers or zero—these are often the correct answer
• Overthinking: if a simple rule works, don't search for a complex one

• Applying different rules to different pairs instead of one consistent rule—SSC always uses the same operation for both A:B and C:D
• Confusing the direction of operation (e.g., 5:2 could be 5-3 or 5÷2.5, but only one fits the pattern)
• Not verifying the rule on the first pair before committing to an answer—this costs 10-15 seconds of rework
• Falling for decoy options that match one pair but not both—always test both pairs
• Mishandling negative results or fractions—SSC options are usually integers, so if you get a fraction, reconsider

• AVPM: Arithmetic, Verify, Pattern, Match—the four-step mental checklist for every number analogy
• Simple First: Always test +, -, ×, ÷ before considering squares, cubes, or digit sums
• Both Pairs Rule: If your rule doesn't work for BOTH A:B and C:D, it's wrong—no exceptions
• Reverse Check: If stuck, work backwards from the answer options to see which rule fits

• SSC CGL Tier 1 typically has 3-5 number analogy questions in the 60-minute Reasoning section. These are usually in the first 10-15 questions, so treat them as confidence-builders and speed-gainers.
• Recent papers (2022-2024) show a shift toward compound operations (e.g., square then add) and digit-based rules rather than pure arithmetic. Practice mixed-operation patterns.
• Time management: Allocate 20-25 seconds per question. If you can't spot the pattern in 15 seconds, mark and move—come back if time permits.
• Options are usually spread wide (e.g., 12, 25, 48, 81) so calculation errors are obvious. If your answer doesn't match any option exactly, recalculate before changing your rule.
• In Tier 2 (descriptive), number analogy doesn't appear, so focus Tier 1 prep here. Tier 1 is your only chance to score these points.