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Analogy questions with answers

Analogy questions are lost by candidates who pick the option that feels closest rather than the one that repeats the relation. Each of the fifteen below states the relation explicitly in its walkthrough — part-to-whole, tool-to-user, cause-to-effect — because naming it in words is the step that turns a guess into a decision.

Download the PDF — 15 questions with answers

Free, ungated, no email. This is the analogy questions with answers PDF — the same 15 questions as below, with every worked solution at the back, ready to print.

How to use this set

The 15 questions below are ordered the way an exam block is rather than easiest-first: two gentle openers, then a run of medium, and a hard one every sixth question — 2 of the 15 sit in the hard band. Every question is a number analogy.

Work each question on paper before you open its solution. The walkthrough is the method itself, step for step, so reading it first turns a practice set into a reading exercise and teaches nothing. If you are stuck on the method rather than on one question, the method guide is a better place to start than the next question: Analogy: name the relation, then test it.

15 analogy questions with answers

Every question below was generated by the same engine that mints the Deduce daily puzzle round, and machine-checked before it reached this page — a multiple-choice question validates its own answer against its own options at generation, and ships only with a walkthrough attached. The walkthrough is the engine's own.

Question 1

13 : 2197 :: 2 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 5
  2. 9
  3. 7
  4. 8
  5. 6
Show the worked solution
  1. 13 becomes 2197 when it is cubed.
  2. No other standard rule turns 13 into 2197 and gives a different result for 2, so the relation is settled.
  3. Applying it to 2: the answer is 8.

Question 2

18 : 324 :: 12 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 144
  2. 145
  3. 156
  4. 143
  5. 132
Show the worked solution
  1. 18 becomes 324 when it is squared.
  2. No other standard rule turns 18 into 324 and gives a different result for 12, so the relation is settled.
  3. Applying it to 12: the answer is 144.

Question 3

13 : 170 :: 10 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 100
  2. 101
  3. 120
  4. 110
  5. 990
Show the worked solution
  1. 13 becomes 170 when it is squared, then 1 added.
  2. No other standard rule turns 13 into 170 and gives a different result for 10, so the relation is settled.
  3. Applying it to 10: the answer is 101.

Question 4

14 : 195 :: 7 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 49
  2. 35
  3. 42
  4. 48
  5. 28
Show the worked solution
  1. 14 becomes 195 when it is squared, then 1 subtracted.
  2. No other standard rule turns 14 into 195 and gives a different result for 7, so the relation is settled.
  3. Applying it to 7: the answer is 48.

Question 5

9 : 80 :: 7 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 42
  2. 49
  3. 56
  4. 48
  5. 50
Show the worked solution
  1. 9 becomes 80 when it is squared, then 1 subtracted.
  2. No other standard rule turns 9 into 80 and gives a different result for 7, so the relation is settled.
  3. Applying it to 7: the answer is 48.

Question 6

19 : 23 :: 13 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 19
  2. 17
  3. 20
  4. 21
  5. 18
Show the worked solution
  1. 19 becomes 23 when it is replaced by the next prime number.
  2. No other standard rule turns 19 into 23 and gives a different result for 13, so the relation is settled.
  3. Applying it to 13: the answer is 17.

Question 7

19 : 361 :: 13 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 130
  2. 169
  3. 156
  4. 168
  5. 143
Show the worked solution
  1. 19 becomes 361 when it is squared.
  2. No other standard rule turns 19 into 361 and gives a different result for 13, so the relation is settled.
  3. Applying it to 13: the answer is 169.

Question 8

16 : 256 :: 19 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 361
  2. 342
  3. 360
  4. 228
  5. 209
Show the worked solution
  1. 16 becomes 256 when it is squared.
  2. No other standard rule turns 16 into 256 and gives a different result for 19, so the relation is settled.
  3. Applying it to 19: the answer is 361.

Question 9

13 : 168 :: 17 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 290
  2. 306
  3. 288
  4. 289
  5. 272
Show the worked solution
  1. 13 becomes 168 when it is squared, then 1 subtracted.
  2. No other standard rule turns 13 into 168 and gives a different result for 17, so the relation is settled.
  3. Applying it to 17: the answer is 288.

Question 10

12 : 143 :: 14 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 168
  2. 195
  3. 197
  4. 196
  5. 182
Show the worked solution
  1. 12 becomes 143 when it is squared, then 1 subtracted.
  2. No other standard rule turns 12 into 143 and gives a different result for 14, so the relation is settled.
  3. Applying it to 14: the answer is 195.

Question 11

19 : 380 :: 7 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 70
  2. 56
  3. 49
  4. 50
  5. 63
Show the worked solution
  1. 19 becomes 380 when it is squared, then the number itself added.
  2. No other standard rule turns 19 into 380 and gives a different result for 7, so the relation is settled.
  3. Applying it to 7: the answer is 56.

Question 12

9 : 11 :: 3 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 7
  2. 8
  3. 5
  4. 6
  5. 4
Show the worked solution
  1. 9 becomes 11 when it is replaced by the next prime number.
  2. No other standard rule turns 9 into 11 and gives a different result for 3, so the relation is settled.
  3. Applying it to 3: the answer is 5.

Question 13

19 : 361 :: 15 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 165
  2. 225
  3. 180
  4. 224
  5. 210
Show the worked solution
  1. 19 becomes 361 when it is squared.
  2. No other standard rule turns 19 into 361 and gives a different result for 15, so the relation is settled.
  3. Applying it to 15: the answer is 225.

Question 14

7 : 343 :: 2 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 9
  2. 8
  3. 5
  4. 7
  5. 6
Show the worked solution
  1. 7 becomes 343 when it is cubed.
  2. No other standard rule turns 7 into 343 and gives a different result for 2, so the relation is settled.
  3. Applying it to 2: the answer is 8.

Question 15

13 : 168 :: 4 : ?

Work out how the first number becomes the second, then apply the same rule to the third.

  1. 16
  2. 15
  3. 17
  4. 18
  5. 14
Show the worked solution
  1. 13 becomes 168 when it is squared, then 1 subtracted.
  2. No other standard rule turns 13 into 168 and gives a different result for 4, so the relation is settled.
  3. Applying it to 4: the answer is 15.
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Where these questions come from

Most free practice for this topic is a scanned upload or a blog quiz, and neither can tell you a question has exactly one answer. That is the one thing this set can promise: it is minted, not typed. The engine behind it serves Deduce's daily puzzle round, so the questions here are the same shape as the ones a live round would give you — and there is an unlimited supply of them, which is why this page can be regenerated rather than padded.

If you want the method rather than more questions, Analogy: name the relation, then test it covers the approach, the traps and a worked table. This page and that one deliberately answer different questions: that one is how do I solve these, this one is give me analogy questions with the answers.

FAQ

How do I choose between two plausible analogy options?

Write the relation as a sentence with the first pair in it, then substitute each option. 'A hammer is used by a carpenter' survives substitution or it does not. A vaguer sentence lets both options through, which means the sentence was not specific enough — sharpen it, do not pick.

Does word order matter in an analogy?

Always. Doctor : hospital is not hospital : doctor. The direction of the relation is half the question, and reversed options are placed deliberately. Read the pair in the order given and keep that order when you test.

What relation types appear most in bank exams?

Part to whole, worker to tool, cause to effect, object to function, and degree of intensity. Number and letter analogies also appear, and those are usually pure arithmetic or alphabet positions rather than meaning — treat them as a separate family entirely.

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