Number analogy
Analogy reasoning questions — free, machine-verified practice
Analogy reasoning questions give a related pair and ask you to complete a second pair by the same rule. Test relations in a fixed order — squares, cubes, small multiples, small additions, then the near-miss variants like square-plus-one — and confirm the rule you pick is the only one that fits, because a single pair often admits more than one.
Analogy is among the most heavily tested topics in SSC General Intelligence and appears in banking papers too, and it is unusual in one respect: a badly-set analogy genuinely has two right answers. Knowing that is a practical advantage, because it tells you what to check before committing — not just which rule fits, but whether a second rule fits equally well.
How to solve analogy reasoning questions without guessing the rule
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Run the relation checklist in a fixed order
Square, cube, small multiple, small addition, then the near-misses — square plus one, square minus one, square plus the number itself. Most exam analogies are one of these, and testing in a set order is faster than staring at the pair hoping the rule appears.
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Check the size of the jump first
A large jump from a small number means a power is involved; a modest one means a multiple or an addition. From 7 to 343 is a cube; from 7 to 21 is a multiple. That single glance eliminates most of the checklist before you test anything.
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Look for a SECOND rule that also fits
This is the step that separates a careful solver. 7 : 49 is explained by squaring and by multiplying by 7 — and those give 25 and 35 for the number 5. When two rules fit the given pair, the intended answer is whichever one the option list supports uniquely.
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Apply the rule and confirm the answer is actually offered
If your rule produces a value not among the options, the rule is wrong — go back to the checklist rather than picking the nearest number. A near-miss option is usually the result of the rival rule you did not rule out.
Reading the relation from the size of the jump
Reading the relation from the size of the jump
| The pair looks like | Try |
| Small number → very large (7 → 343) | Cube |
| Small number → moderately large (7 → 49) | Square, or a multiple — check both |
| 7 → 50, 9 → 82 | Square plus one |
| 7 → 42, 9 → 72 | Square minus the number itself |
| 7 → 350, 10 → 1010 | Cube plus the number itself |
| 7 → 11, 13 → 17 | The next prime number |
Practise analogy reasoning questions right now
Every question below was generated by the same engine that mints the Deduce daily puzzle, and machine-proven to have exactly one correct answer before it reached this page. The walkthrough is the engine's own, step for step.
Question 1
16 : 255 :: 11 : ?
Work out how the first number becomes the second, then apply the same rule to the third.
- 120
- 132
- 122
- 121
- 110
Show the worked solution
- 16 becomes 255 when it is squared, then 1 subtracted.
- No other standard rule turns 16 into 255 and gives a different result for 11, so the relation is settled.
- Applying it to 11: the answer is 120.
Question 2
9 : 80 :: 13 : ?
Work out how the first number becomes the second, then apply the same rule to the third.
- 156
- 170
- 168
- 143
- 169
Show the worked solution
- 9 becomes 80 when it is squared, then 1 subtracted.
- No other standard rule turns 9 into 80 and gives a different result for 13, so the relation is settled.
- Applying it to 13: the answer is 168.
Question 3
14 : 195 :: 5 : ?
Work out how the first number becomes the second, then apply the same rule to the third.
- 23
- 21
- 24
- 22
- 19
Show the worked solution
- 14 becomes 195 when it is squared, then 1 subtracted.
- No other standard rule turns 14 into 195 and gives a different result for 5, so the relation is settled.
- Applying it to 5: the answer is 24.
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Common mistakes
Committing to the first rule that fits
A single pair often admits two rules, and they diverge on the second number. Before applying a rule, spend two seconds asking whether another one also explains the pair — the option list is usually built from exactly that rival.
Testing rules at random instead of in order
Without a checklist you re-test some relations and never test others. The fixed order costs nothing to learn and makes the topic mechanical rather than intuitive.
Forcing an answer that is not among the options
If your computed value is absent, the rule is wrong. Picking the closest available number converts a recoverable mistake into a certain one.
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FAQ
What is a number analogy question?
A question of the form A : B :: C : ?, where a rule connects the first pair and you apply the same rule to complete the second. The rule is usually a power, a small multiple, a small addition, or a near-miss variant such as square-plus-one.
Why do some analogy questions seem to have two answers?
Because a single pair often does not determine the rule. 7 : 49 is satisfied by squaring and by multiplying by seven, which give 25 and 35 respectively for the number 5. Well-set questions choose pairs where only one rule fits — and every analogy question on this page is machine-checked against a family of standard rules before publication, so exactly one answer is defensible.
How important is analogy for SSC CGL?
It is one of the highest-frequency topics in General Intelligence, typically two to three marks, and it sits alongside classification and series as the trio that rewards a checklist approach most. It appears in banking papers too, though less prominently than arrangement puzzles.
Is there a fast way to spot which rule applies?
Judge the size of the jump before testing anything. A small number leading to a very large one points at a cube; a moderate jump points at a square or a multiple; a small jump points at an addition or the next prime. That single observation removes most of the checklist.
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