Each trick says when to use it, why it works and when it fails. Formula tricks are checked by code over their whole range.हर ट्रिक बताती है कि उसे कब इस्तेमाल करें, वह क्यों काम करती है और कब नहीं। सूत्र वाली ट्रिक्स को कोड से उनकी पूरी रेंज पर जाँचा गया है।
Exam strategyपरीक्षा रणनीतिRarely taughtकम सिखाई जाने वाली✓ Checked on 270 cases✓ 270 मामलों पर जाँची गई
The series ladder: six checks in a fixed order
Use it when:कब इस्तेमाल करें: Any number series, missing term, wrong term, or a number analogy or odd-one-out that hides a pattern.
Differences constant? (arithmetic)
Differences of differences constant? (quadratic growth)
Ratios constant? (geometric)
Each term = previous × a + b? Find a from two jumps: a = (t₃ − t₂)/(t₂ − t₁).
Near squares or cubes? Compare with n², n³ and check ± a small constant.
Split odd and even positions: two simpler series interleaved.
Stop at the first check that explains every term, then verify it on the last term too.
Why it works, and when it failsयह क्यों काम करती है, और कब नहीं
Why:क्यों: Exam setters build series from a handful of rules. Checking them from cheapest to costliest finds the rule with the least arithmetic, and step 4 turns the guess “× something + something” into a calculation.
Limits:सीमाएँ: Rare series mix two operations alternately (×2, +3, ×2, +3). If all six checks fail, try alternating operations on consecutive terms.
Solved examplesहल किए गए उदाहरण
Answers and full solutions are shown. Hide them to test yourself first.उत्तर और पूरे हल दिखाए गए हैं। पहले खुद को परखने के लिए इन्हें छिपाइए।
Example 1उदाहरण 1 · Number analogy · Easyआसान
5 : 25 :: 7 : ?
343
56
49
342
Answer:उत्तर:49
5 → 25: rule is n².
Apply to 7: 7² = 49.
Example 2उदाहरण 2 · Number analogy · Mediumमध्यम
10 : 100 :: 11 : ?
122
1332
242
121
Answer:उत्तर:121
10 → 100: rule is n².
Apply to 11: 11² = 121.
Example 3उदाहरण 3 · Number analogy · Hardकठिन
8 : 512 :: 6 : ?
30
215
216
36
Answer:उत्तर:216
8 → 512: rule is n³.
Apply to 6: 6³ = 216.
Example 4उदाहरण 4 · Number analogy · Mediumमध्यम
10 : 99 :: 9 : ?
90
730
80
728
Answer:उत्तर:80
10 → 99: rule is n² − 1.
Apply to 9: 9² − 1 = 80.
Example 5उदाहरण 5 · Number analogy · Mediumमध्यम
7 : 56 :: 8 : ?
63
80
520
72
Answer:उत्तर:72
7 → 56: rule is n × (n + 1).
Apply to 8: 8 × (8 + 1) = 72.
Example 6उदाहरण 6 · Number analogy · Mediumमध्यम
6 : 215 :: 7 : ?
50
98
63
342
Answer:उत्तर:342
6 → 215: rule is n³ − 1.
Apply to 7: 7³ − 1 = 342.
Common mistakesआम गलतियाँ
Choosing a relation that fits only loosely.
Applying the relation in the wrong direction.
Frequently asked questionsअक्सर पूछे जाने वाले प्रश्न
How do I solve number analogy questions?
Find how the second number is made from the first (square, cube, multiple, ± k) and apply the same rule.
Is analogy common in SSC?
Yes, SSC reasoning sections usually include a few analogy questions.
What if more than one rule fits?
Pick the rule that fits all given pairs exactly; examiners avoid ambiguous pairs.