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Number Analogy and Number Sets Concepts and Practice Notes in Hindi

Number Analogy and Number Sets Concepts and Practice

This lecture covers reasoning questions based on number analogy and set similarity, explaining the hierarchy of logic application (prime numbers, squares/cubes, multiplication/division, addition/subtraction, and digital operations). It works through various question patterns and practice sets from competitive exams.

SSC
Railway
Reasoning
हिन्दी · 7 topics
Checked against the video on 23 Oct 2026

Made by AI from the YouTube video 🔥 Analogy – New Pattern One Shot 🔥🎯 Complete Class | By Piyush Sir (opens YouTube in a new tab) by Reasoning By Piyush Varshney, then checked against it. All credit for the teaching goes to the creator. Tap a topic’s time to confirm a fact in the video.

Number Analogy and Number Sets Concepts and Practice

हिन्दी7 topics · 5 MCQs · 9 flashcardsWatch the video (opens YouTube in a new tab)

Checked against the video

In short

This lecture covers reasoning questions based on number analogy and set similarity, explaining the hierarchy of logic application (prime numbers, squares/cubes, multiplication/division, addition/subtraction, and digital operations). It works through various question patterns and practice sets from competitive exams.

Analogy Types and Priority Rules

Analogy is also referred to as Similarity (समानता या समरूपता).
There are four main types of analogy: Based on Numbers (संख्या पर आधारित), Based on Alphabet (वर्णमाला पर आधारित / Coding-Decoding), Based on Figures (चित्रों पर आधारित / Non-Verbal Reasoning), and Based on Words (शब्दों पर आधारित / General Knowledge).
Must knowNumber analogy questions often yield multiple possible answers; therefore, solutions strictly depend on the given options and logical priority rules.
Ratio and proportion (अनुपात-समानुपात) methods such as cross-multiplication must not be used to solve analogy problems.
Must knowThe priority order for choosing the best option in number analogy is: (1) Prime numbers, (2) Square / Cube (direct powers), (3) Multiplication / Division, (4) Addition / Subtraction, (5) Digital Sum / Individual Digits.

Priority Rank	Logic Type	Condition
1	Prime Numbers	First preference
2	Square / Cube	Direct exponents given precedence
3	Multiplication / Division	When powers are absent
4	Addition / Subtraction	When arithmetic products fail
5	Digital Sum / Digits	Rare / fallback logic

Basic Number Analogy Practice (Questions 1 to 6)

In 21 : 3 :: 574 : ?, 21 divided by 7 gives 3, so 574 divided by 7 gives 82.
In 18 : 30 :: 36 : ?, the relation is (18 × 2) - 6 = 30, hence (36 × 2) - 6 = 66.
In 17 : 52 :: 1 : ?, the pattern is (17 × 3) + 1 = 52, so (1 × 3) + 1 = 4.
In 3 : 243 :: 5 : ?, 3⁵ = 243, therefore 5⁵ = 3125.
In 20 : 11 :: 102 : ?, (20 / 2) + 1 = 11, so (102 / 2) + 1 = 52.
In 42 : 20 :: 64 : ?, (42 / 2) - 1 = 20, so (64 / 2) - 1 = 31.

Power and Arithmetic Logics (Questions 7 to 15)

In 121 : 12 :: 25 : ?, 121 is 11² yielding 11 + 1 = 12, so 25 is 5² yielding 5 + 1 = 6.
In 6 : 222 :: 7 : ?, 6³ + 6 = 222, therefore 7³ + 7 = 343 + 7 = 350.
In 26 : 5 :: 65 : ?, 5² + 1 = 26, so 8² + 1 = 65, giving the answer 8.
In 25 : 125 :: 36 : ?, 5² : 5³ :: 6² : 6³; 6³ = 216 is chosen over multiplication (180) because square/cube logic has higher priority.
In 8 : 28 :: 27 : ?, 2³ : (3³ + 1) :: 3³ : (4³ + 1) gives 64 + 1 = 65.
In 6 : 18 :: 4 : ?, square-half logic gives (6²) / 2 = 18, so (4²) / 2 = 8.

Double Operations and Difference Patterns (Questions 16 to 27)

In 42 : 56 :: 72 : ?, (6² + 6) : (7² + 7) :: (8² + 8) : (9² + 9) gives 81 + 9 = 90.
In 49 : 81 :: 100 : ?, 7² : 9² (difference of 2) :: 10² : 12² gives 144.
In 9 : 80 :: 100 : ?, (9² - 1) = 80, so (100² - 1) = 9999.
In 7584 : 5362 :: 4673 : ?, subtracting 2222 from each gives 2451.
In 3265 : 4376 :: 4673 : ?, adding 1111 to each gives 5784.
In 16 : 56 :: 32 : ?, multiplying by direct factor 3.5 gives 16 × 3.5 = 56, and 32 × 3.5 = 112.

Mixed Practice and Logic Prioritisation (Questions 28 to 39)

In 1 : 8 :: 27 : ?, 1³ : 2³ :: 3³ : 4³ gives 64.
In 4 : 17 :: 7 : ?, (4² + 1) = 17, so (7² + 1) = 50.
In 3 : 27 :: 7 : ?, direct cube gives 7³ = 343.
In 9 : 28 :: 56 : ?, (9 × 3) + 1 = 28, so (56 × 3) + 1 = 169.
In 6 : 2 :: 8 : ?, (6 / 2) - 1 = 2, so (8 / 2) - 1 = 3.
In 384 : ? :: 216 : 63, 216 / 3 = 72 and 72 - 9 (sum of digits of 216) = 63; similarly 384 / 3 = 128 and 128 - 15 (sum of digits of 384) = 113.

Digit Operations and Fraction Multipliers (Questions 40 to 56)

In 365 : 90 :: 623 : ?, product of individual digits 3 × 6 × 5 = 90; so 6 × 2 × 3 = 36.
In 248 : 3 :: 328 : ?, first two digits divided by the third gives 24 / 8 = 3; so 32 / 8 = 4.
In 72 : 18 :: 56 : ?, sum of digits multiplied by 2 gives (7 + 2) × 2 = 18; so (5 + 6) × 2 = 22.
In 83 : 25 :: 39 : ?, difference of digits squared gives (8 - 3)² = 25; so (9 - 3)² = 36.
In 47 : 65 :: 59 : ?, sum of squares of digits gives 4² + 7² = 65; so 5² + 9² = 106.
In 15 : 25 :: 24 : ?, multiplication by 5/3 gives 15 × (5/3) = 25; so 24 × (5/3) = 40.

Number Sets and Advanced Similarity (Questions 57 to 80)

In set {15, 21, 27}, the common difference is +6 throughout; matching set {20, 28, 36} maintains a constant common difference of +8.
In set {10, 19, 32}, the relation is (10 × 2) - 1 = 19 and (10 × 3) + 2 = 32; matching set {7, 13, 23} follows (7 × 2) - 1 = 13 and (7 × 3) + 2 = 23.
In set {3, 5, 7}, all are consecutive prime numbers; the matching set {23, 29, 31} consists of consecutive prime numbers.
In 3, 15, 123, the third number is (15 / 3)³ - 2 = 5³ - 2 = 123; matching set 4, 24, 214 follows (24 / 4)³ - 2 = 6³ - 2 = 214.
In 24 : 102 :: 16 : ?, multiplying by 17/4 gives 24 × (17/4) = 102; so 16 × (17/4) = 68.

Key terms

Analogy (समानता/समरूपता): Two quantities sharing a mathematical or logical relationship that must be mirrored in another pair
Prime Priority: The highest priority rule in number analogy where prime number patterns override arithmetic operations
Digital Sum Logic: Solving number relationships using operations on the individual digits when standard arithmetic and power patterns fail

Exam tips and traps

If a question has answers from both square/cube logic and multiplication logic, always choose the option obtained via square/cube.
Do not apply ratio and proportion formulas (a/b = c/d) to solve reasoning analogy problems.

Quick revision

Read these the night before the exam.

Number analogy questions have multiple logical answers and strictly depend on the given options.
The priority order is: Prime -> Square/Cube -> Multiply/Divide -> Add/Subtract -> Digital Sum.
In 25 : 125 :: 36 : ?, 216 (via 6³) takes priority over 180 (via × 5).
Direct multiplication (like × 3.5) is preferred over mixed operations like (* 3 + 8).
3⁵ = 243 and 5⁵ = 3125.
Set similarity requires matching either constant difference or the exact algebraic relation across terms.
In sets of prime numbers, ensure they are strictly consecutive primes without non-primes in between.
When arithmetic differences and powers fail, examine digit products or digit sums.

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