Number Analogy MCQS

Number Analogy MCQS: In this topic we are providing 50 multiple-choice questions (MCQs) based on number analogies for student who are interested ssc, mts,ssc cgl upsssc exams. Each question provides a pair of numbers with a specific relationship, followed by a new number that needs a similar match.

Table of Contents

Define number analogy

Number analogy is a type of logical reasoning where a relationship or pattern between numbers is identified and applied to find the missing or related number. It involves recognizing mathematical operations, sequences, or transformations between given numbers to establish a consistent rule.

For example:
2 : 4 :: 3 : ?
(Same relationship should apply to the second pair as it does to the first.)
Since 2 × 2 = 4, applying the same rule: 3 × 2 = 6
So, the answer is 6.

Number Analogy

Type of number analogy

Number analogies can be categorized into different types based on the pattern or relationship between numbers. Here are the main types:

1. Direct Arithmetic Analogy

Based on basic operations like addition, subtraction, multiplication, and division.
Example:
4 : 8 :: 6 : ?
(4 × 2 = 8, so 6 × 2 = 12) → Answer: 12

2. Square and Cube Analogy

Involves squares, cubes, or their roots.
Example:
5 : 25 :: 7 : ?
(5² = 25, so 7² = 49) → Answer: 49

3. Prime Number Analogy

Based on prime numbers or their positions.
Example:
3 : 5 :: 7 : ?
(Next prime after 3 is 5, next prime after 7 is 11) → Answer: 11

4. Difference-Based Analogy

The difference between numbers follows a pattern.
Example:
10 : 15 :: 20 : ?
(10 + 5 = 15, so 20 + 5 = 25) → Answer: 25

5. Multiplication/Division Pattern

Uses consistent multiplication or division.
Example:
6 : 18 :: 7 : ?
(6 × 3 = 18, so 7 × 3 = 21) → Answer: 21

6. Reverse Number Analogy

Numbers are reversed in position.
Example:
12 : 21 :: 45 : ?
(Reverse digits of 12 to get 21, so reverse 45 to get 54) → Answer: 54

7. Alternating Sequence Analogy

Two different patterns alternating.
Example:
2 : 4 : 6 : 10 : ?
(Pattern: +2, +4, +2, +4… next is 10 + 2 = 12) → Answer: 12

8. Factorial Analogy

Based on factorial values (n!).
Example:
2 : 2 :: 3 : 6 :: 4 : ?
(2! = 2, 3! = 6, 4! = 24) → Answer: 24

9. Fibonacci Series Analogy

Based on Fibonacci numbers (each number is the sum of the two preceding ones).
Example:
1 : 1 :: 2 : 3 :: 3 : ?
(1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5) → Answer: 5

10. Mixed Operation Analogy

Combination of different operations.
Example:
5 : 30 :: 6 : ?
(5 × (5+1) = 30, so 6 × (6+1) = 42) → Answer: 42

Type of number analogy tricks

Here are some tricks for different types of number analogies to help you identify patterns quickly:

1. Arithmetic-Based Tricks

✅ Addition/Subtraction Trick: Look for a consistent difference.
🔹 Example:
7 : 10 :: 12 : ?
(7 + 3 = 10, so 12 + 3 = 15) → Answer: 15

✅ Multiplication/Division Trick: Check if one number is a multiple of another.
🔹 Example:
3 : 9 :: 4 : ?
(3 × 3 = 9, so 4 × 3 = 12) → Answer: 12

✅ Mixed Operations Trick: If basic operations don’t work alone, try combining them.
🔹 Example:
5 : 30 :: 6 : ?
(5 × (5+1) = 30, so 6 × (6+1) = 42) → Answer: 42

2. Squaring and Cubing Tricks

✅ Square Trick: Check if numbers are squared.
🔹 Example:
4 : 16 :: 6 : ?
(4² = 16, so 6² = 36) → Answer: 36

✅ Cube Trick: Try cubing numbers.
🔹 Example:
2 : 8 :: 3 : ?
(2³ = 8, so 3³ = 27) → Answer: 27

3. Prime Number Tricks

✅ Find the next prime: If numbers increase in an unusual way, check prime numbers.
🔹 Example:
3 : 5 :: 7 : ?
(Next prime after 3 is 5, after 7 is 11) → Answer: 11

4. Reverse & Digit-Based Tricks

✅ Reversal Trick: Reverse the digits of the first number to get the second.
🔹 Example:
12 : 21 :: 34 : ?
(Reverse 12 to get 21, so reverse 34 to get 43) → Answer: 43

✅ Sum of Digits Trick: Find the sum of digits.
🔹 Example:
36 : 9 :: 54 : ?
(3+6 = 9, 5+4 = 9) → Answer: 9

5. Alternating Pattern Tricks

✅ Two-Pattern Trick: If a series has four or more numbers, check for two interwoven patterns.
🔹 Example:
2, 5, 4, 9, 6, ?
(Even positions: +2 → 2, 4, 6… Odd positions: +4 → 5, 9, ? = 13) → Answer: 13

6. Factorial Trick

✅ Recognizing Factorials: If numbers grow very fast, check for factorials (n!).
🔹 Example:
2 : 2 :: 3 : 6 :: 4 : ?
(2! = 2, 3! = 6, 4! = 24) → Answer: 24

7. Fibonacci Series Trick

✅ If each number is the sum of the previous two, it’s a Fibonacci sequence.
🔹 Example:
1 : 1 :: 2 : 3 :: 3 : ?
(1+1 = 2, 1+2 = 3, 2+3 = 5) → Answer: 5

Short cut rule of number analogy

Here are some shortcut rules for solving number analogy problems quickly:

1. Check for Basic Arithmetic Operations

Addition/Subtraction Rule: Look for a fixed difference.
🔹 Example: 8 : 11 :: 15 : ? (8 + 3 = 11, so 15 + 3 = 18)
Multiplication/Division Rule: Check if one number is a multiple or fraction of the other.
🔹 Example: 6 : 18 :: 7 : ? (6 × 3 = 18, so 7 × 3 = 21)

2. Check for Squaring & Cubing

Square Rule: If numbers increase quickly, check for squares.
🔹 Example: 3 : 9 :: 4 : ? (3² = 9, 4² = 16)
Cube Rule: If numbers grow even faster, check for cubes.
🔹 Example: 2 : 8 :: 3 : ? (2³ = 8, 3³ = 27)

3. Check for Prime Numbers

Prime Rule: If numbers are small and jump unpredictably, check if they are primes.
🔹 Example: 5 : 11 :: 7 : ? (Next prime after 5 is 11, after 7 is 13)

4. Reverse or Digit-Based Patterns

Reverse Rule: Numbers might be reversed.
🔹 Example: 12 : 21 :: 34 : ? (Reverse 12 to 21, so 34 → 43)
Sum of Digits Rule: If numbers shrink, check if digits are added.
🔹 Example: 45 : 9 :: 63 : ? (4+5 = 9, 6+3 = 9)

5. Look for Alternating Patterns

Double Sequence Rule: If there are four or more numbers, check two separate sequences.
🔹 Example: 2, 5, 4, 9, 6, ? (Even positions: +2 → 2, 4, 6… Odd positions: +4 → 5, 9, ? = 13)

6. Check for Factorial Relationship

Factorial Rule: If numbers grow exponentially, check factorials (n!).
🔹 Example: 2 : 2 :: 3 : 6 :: 4 : ? (2! = 2, 3! = 6, 4! = 24)

7. Fibonacci Sequence Rule

Fibonacci Rule: If numbers follow an adding pattern, check if each is the sum of the previous two.
🔹 Example: 1 : 1 :: 2 : 3 :: 3 : ? (1+1 = 2, 1+2 = 3, 2+3 = 5)

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Number analogy tricks

Number analogy tricks help you quickly identify patterns and relationships between numbers. Here are some common strategies:

1. Arithmetic Operations

Check if the numbers follow simple operations like:

Addition/Subtraction: 5 → 8 (adding 3)
Multiplication/Division: 3 → 9 (multiplying by 3)
Mixed Operations: 7 → 10 → 14 (adding 3, then 4)

2. Squaring & Cubing

Look for squares, cubes, or their differences.

4 → 16 (4²)
3 → 27 (3³)
9 → 81 (9²)

3. Prime Numbers

Check if the numbers are prime or follow a prime sequence.

2 → 3 → 5 → 7 (consecutive primes)

4. Reverse Operations

Sometimes, the second number is the reverse or complement of the first.

12 → 21 (digits reversed)
7 → 3 (complementary to 10: 10 – 7)

5. Position-Based Changes

Each digit in the number might follow a pattern.

14 → 25 (1 → 2, 4 → 5)

6. Alternating Sequences

If there are multiple numbers, they might follow two separate sequences.

2 → 5 → 4 → 9 → 6 (Odd-position: +3, Even-position: +2)

7. Factorial & Fibonacci Sequences

1 → 1 → 2 → 3 → 5 → 8 (Fibonacci)
1 → 2 → 6 → 24 (Factorial: 1!, 2!, 3!, 4!)