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Analogies and Classification for CUET General Aptitude

About 10 min to learn · 66 questions

Analogy and classification questions test one skill: seeing the relationship between things and applying it again. An analogy gives a pair and asks for another pair linked the same way; a classification question gives four items and asks which one does not belong. This lesson covers the test-sentence method for word analogies, the common relationship types, rules for number and letter analogies, and a fixed checklist for the odd one out, with worked examples and traps.

Syllabus area
Logical and Analytical Reasoning
On this page · 8 sections
  1. 01The core idea
  2. 02Word analogies
  3. 03Number and letter analogies
  4. 04Classification
  5. 05Exam shortcuts
  6. 06Common mistakes
  7. 07Quick revision
  8. 08Check your understanding

The core idea

Name the relationship before you look at the options. For a word pair, say one short sentence that links the two words; for numbers or letters, find the exact rule that turns the first into the second. Then apply the same sentence or rule to the new item.

For the odd one out, look for a property that exactly three of the four share. A property that splits the group two against two is never the one the question is built on.

Word analogies

What is an analogy question?

An analogy shows a pair linked by a relationship and asks you to complete, or choose, a second pair with the same relationship. It is written A : B :: C : ?, read "A is to B as C is to what?" Tailor : Needle :: Carpenter : Saw, because each is the worker's tool.

Key idea

"Select the pair that has the same relationship as Author : Novel" looks harder but works the same way: find the relationship in the given pair, then test each option against it.

How do you solve a word analogy quickly?

State the relationship as a short sentence using both words, then put the new word into the same sentence. For Petal : Flower, "a petal is a part of a flower"; for Page : ?, "a page is a part of a ___", and "book" fits. "Paper" is connected to a page, but "a page is a part of a paper" makes no sense.

Example 1 · Worker and product

Potter : Pot :: Weaver : ? Options: Loom, Thread, Cloth, Shuttle.

  1. Sentence: "A potter makes a pot", worker and product.

  2. "A weaver makes ___": only cloth fits.

Answer

Cloth

A loom and a shuttle are tools and thread is the raw material: all connected to weaving, which is why they are offered.

Exam shortcut

If more than one option fits, the sentence is too loose; make it more exact. "A breeze is a kind of wind" fits Wind, but "a gale is a much stronger breeze" is the sentence that matches Drizzle : Downpour.

What are the common relationship types in word analogies?

Most word analogies use one of about fifteen relationships. Knowing the list means you can name the relationship in a second.

RelationshipExampleTest sentence
Worker : toolTailor : NeedleA tailor works with a needle
Worker : productPoet : PoemA poet creates a poem
Worker : workplaceJudge : CourtA judge works in a court
Tool : actionPen : WriteA pen is used to write
Part : wholePetal : FlowerA petal is part of a flower
Unit : collectionLink : ChainMany links make a chain
Cause : effectDrought : FamineDrought can cause famine
DegreeDrizzle : DownpourA downpour is a heavy drizzle
Instrument : what it measuresThermometer : TemperatureA thermometer measures temperature
Study : subjectSeismology : EarthquakesSeismology studies earthquakes
Animal : youngSheep : LambA lamb is a young sheep
Animal : sound or homeLion : Roar, Bee : HiveA lion roars; bees live in a hive
Product : raw materialPaper : Wood pulpPaper is made from wood pulp
Synonyms, antonymsAbundant : Plentiful, Ancient : ModernSame meaning; opposite meaning
Country : currencyJapan : YenThe yen is Japan's currency

Facts that come up often

  • The -logy words: cardiology the heart, seismology earthquakes, ornithology birds, entomology insects.
  • Measuring instruments: barometer air pressure, hygrometer humidity, anemometer wind speed, odometer distance, ammeter current.
  • Young of animals: cow–calf, horse–foal, goat–kid, lion–cub, frog–tadpole.

Number and letter analogies

How do you solve a number analogy?

Find the simplest rule that turns the first number into the second exactly, then apply it to the third. Try squares and cubes with a small adjustment first, then products of neighbours such as n(n+1)n(n + 1), then simple multiply-and-add, then digit rules, then roots.

Example 2 · A square rule

6 : 37 :: 9 : ?

  1. 37 is one more than 36=6236 = 6^2, so the rule is n2+1n^2 + 1.

  2. For 9: 92+1=829^2 + 1 = 82.

Answer

82

"Add 31" also turns 6 into 37, but gives 40; if 40 is not offered, the square rule is the one intended.

Example 3 · A cube rule

125 : 20 :: 64 : ?

  1. 125=53125 = 5^3 and 20=5×420 = 5 \times 4: cube root, times one less than the root, n(n−1)n(n - 1).

  2. 64=4364 = 4^3, so the answer is 4×3=124 \times 3 = 12.

Answer

12

"Cube root times 4" also fits the first pair but gives 16. When two rules fit, only one answer will be printed.

Watch out

A single pair fits many rules: 5 : 24 fits n2−1n^2 - 1, "add 19" and "×5−1\times 5 - 1". What settles it is the options: check that the next most obvious rule does not land on a different option. Squares to 400 and cubes to 1,000 make most number analogies recognisable at a glance.

How do you solve a letter analogy?

Convert every letter to its position, A = 1 to Z = 26, find the change position by position, and apply it to the new group. EJOTY gives anchors at 5, 10, 15, 20 and 25, and opposite letters add to 27.

RuleExample
Every letter moves the same number of placesBDF → GIK, +5 each
The shifts growACE → BEH, +1, +2, +3
Alternate forward and backDRIVE → EQJUF
Each letter replaced by its oppositeABC → ZYX
The group written backwardsLAMP → PMAL
Letters become numbersBAD → 7, from 2+1+42 + 1 + 4

Example 4 · A constant shift

FIL : HKN :: PSV : ?

  1. F 6 → H 8, I 9 → K 11, L 12 → N 14: every letter moves forward 2.

  2. P 16 → 18 R, S 19 → 21 U, V 22 → 24 X.

Answer

RUX

Example 5 · Opposite letters

HI : SR :: MN : ?

  1. H 8 and S 19 add to 27, as do I 9 and R 18: each letter is replaced by its opposite.

  2. Opposites of M and N: 27−13=1427 - 13 = 14, N, and 27−14=1327 - 14 = 13, M.

Answer

NM

Opposites of neighbouring letters always look reversed. Do not mistake it for a reversal rule.

Classification

How do you find the odd one out?

Find a property that exactly three of the four share and the fourth lacks. For words it is usually a category, and one level deeper than the obvious: in Pigeon, Bat, Sparrow, Parrot all four fly, but three are birds and the bat is a mammal.

Test for numbersQuick check
Even or oddLast digit
PrimeTry 2, 3, 5, 7, 11, 13
Perfect square or cubeBetween which squares or cubes?
Divisible by 3 or 9Digit sum
Divisible by 4Last two digits
Divisible by 5Ends in 0 or 5
Divisible by 7 or 11Divide it out

Example 6 · Odd number out

Which is the odd one out: 16, 90, 100, 144?

  1. All four are even, so parity does not separate them.

  2. 16, 100 and 144 are divisible by 4; 90 is not.

  3. Perfect squares confirm it: 16=4216 = 4^2, 100=102100 = 10^2, 144=122144 = 12^2, and 90 is not a square.

Answer

90

Watch out

A clever question hides the property: 91, 133 and 161 look prime, but all three are multiples of 7. For letter groups, look at the gaps: in ADG, CFI, EHK, KNR the first three go +3, +3, but KNR goes +3, +4. For pairs, find the rule inside each: 3 : 9, 5 : 25, 6 : 36 are squares, and 8 : 56 is not.

Exam shortcuts

  • Say the sentence. First word first, then the new word in the same sentence.
  • Tighten it. If two options fit, the sentence is too loose.
  • Squares and cubes first for number analogies.
  • EJOTY and 27 for letters.
  • Three against one for the odd one out.

Common mistakes

  • Reversed order. Flower : Garland is unit : whole; Wall : Brick is the same idea the wrong way round.
  • Two relationships fitting. Make the sentence more precise.
  • Connected but not the same relationship.
  • The middle word instead of the extreme. Whisper : Shout matches Glance : Stare, not Glance : Look.
  • Category words. In Drizzle : Downpour :: Breeze : ?, the answer is Gale, not Wind.
  • A rule that fits only the first pair by accident.
  • Miscounting letters.
  • A two-against-two split.
  • Shared prefixes. Kilometre and kilogram measure different things.

Quick revision

Word analogies

  • One sentence, both words, first word first
  • About fifteen relationship types
  • Make the sentence exact until one option fits

Numbers and letters

  • n2±kn^2 \pm k, n3±kn^3 \pm k, n(n±1)n(n \pm 1), digit rules
  • Check a second rule against the options
  • Positions, EJOTY, opposites add to 27

Odd one out

  • Exactly three share the property
  • Go a level deeper than the obvious category
  • Numbers: parity, primes, squares, divisibility

Letter positions carry over to number and letter series and coding and decoding, and grouping by category to Venn diagrams.

Next · 07Quick revision

Check your understanding

66 questions, grouped by type, easy to hard. Pick an answer and check it. The worked solution opens when you ask for it.

Word analogiesQ1 of 66Q1

Word analogies

21 questions

Ornithology is to birds as entomology is to

Options for question 1

Show the explanationHide the explanation

AnswerB · insects

  1. The relationship in the first pair is 'branch of study' to 'what it studies'. Ornithology is the study of birds.

  2. Entomology is the study of insects, so it completes the same relationship.

  3. The study of plants is botany, of fish is ichthyology, and of reptiles is herpetology.

Worth noting

Entomology and etymology are easily confused. Etymology is the study of the origins of words.

Tailor : Needle :: Carpenter : ?

Options for question 2

Show the explanationHide the explanation

AnswerD · Saw

  1. Relationship: a needle is the tool a tailor works with.

  2. The tool a carpenter works with, among these words, is a saw.

Worth noting

Wood is the carpenter's raw material, furniture is the product and a workshop is the place. Only the saw matches 'worker : tool'.

Pen : Write :: Knife : ?

Options for question 3

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AnswerA · Cut

  1. Relationship: a pen is used to write, so the second word is the action the tool performs.

  2. A knife is used to cut.

Worth noting

Sharp describes the knife (a quality), a blade is a part of it and a kitchen is where it is kept. None of these is an action.

Petal : Flower :: Page : ?

Options for question 4

Show the explanationHide the explanation

AnswerC · Book

  1. Relationship: a petal is a part of a flower (part : whole).

  2. A page is a part of a book.

Worth noting

Paper is what a page is made of, not the whole that it belongs to.

Cow : Calf :: Sheep : ?

Options for question 5

Show the explanationHide the explanation

AnswerB · Lamb

  1. Relationship: a calf is the young one of a cow.

  2. The young one of a sheep is a lamb.

Worth noting

A kid is the young of a goat and a foal the young of a horse. Wool is a product of the sheep, not its young.

Lion : Roar :: Elephant : ?

Options for question 6

Show the explanationHide the explanation

AnswerD · Trumpet

  1. Relationship: roar is the sound a lion makes.

  2. The sound an elephant makes is called a trumpet.

Worth noting

A donkey brays, a horse neighs and a wolf howls.

Bee : Hive :: Horse : ?

Options for question 7

Show the explanationHide the explanation

AnswerB · Stable

  1. Relationship: a hive is the home of bees.

  2. A horse is kept in a stable.

Worth noting

A kennel is for a dog, a den for a lion and a sty for pigs.

Seismology : Earthquakes :: Cardiology : ?

Options for question 8

Show the explanationHide the explanation

AnswerC · Heart

  1. Relationship: seismology is the study of earthquakes (study : subject).

  2. Cardiology is the branch of medicine that studies the heart ('cardio' means heart).

Poet : Poem :: Sculptor : ?

Options for question 9

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AnswerA · Statue

  1. Relationship: a poem is what a poet creates (worker : product).

  2. A sculptor creates a statue.

Worth noting

A chisel is the sculptor's tool, stone the raw material and a museum a place where statues are shown.

Drizzle : Downpour :: Breeze : ?

Options for question 10

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AnswerD · Gale

  1. Relationship: a downpour is a much stronger form of a drizzle (the same thing, greater intensity).

  2. A much stronger form of a breeze is a gale.

Worth noting

A breeze is itself a kind of wind, so 'Wind' names the category, not a stronger degree. 'Calm' is the absence of wind.

Thermometer : Temperature :: Barometer : ?

Options for question 11

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AnswerA · Atmospheric pressure

  1. Relationship: a thermometer measures temperature (instrument : quantity measured).

  2. A barometer measures atmospheric pressure.

Worth noting

Humidity is measured by a hygrometer, wind speed by an anemometer and rainfall by a rain gauge. All are weather quantities, so only exact knowledge of the barometer decides.

Paper : Wood pulp :: Glass : ?

Options for question 12

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AnswerC · Sand

  1. Relationship: paper is made from wood pulp (product : raw material).

  2. Glass is made mainly from sand (silica).

Worth noting

Clay is the raw material for bricks and pottery. A window is something made USING glass, which reverses the direction of the relationship.

Drought : Famine :: Deforestation : ?

Options for question 13

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AnswerB · Soil erosion

  1. Relationship: a long drought can cause famine (cause : effect).

  2. Cutting down forests exposes the soil and causes soil erosion.

Worth noting

Afforestation is the opposite of deforestation, timber is what is obtained by cutting trees (a product, not a harmful effect), and forest is what is lost.

Select the pair that has the same relationship as Author : Novel.

Options for question 14

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AnswerD · Composer : Symphony

  1. State the relationship first: an author creates a novel (creator : creation).

  2. A composer creates a symphony, so this pair matches.

  3. A brush is a painter's tool, a stage is where a singer performs, and a library is where a reader goes.

Abundant : Plentiful :: Scarce : ?

Options for question 15

Show the explanationHide the explanation

AnswerB · Rare

  1. Relationship: abundant and plentiful mean the same thing (synonyms).

  2. A word meaning the same as scarce is rare.

Worth noting

Ample is a synonym of abundant, so it is the OPPOSITE of scarce. Scarce things may become costly, but that is a result, not the same meaning. Absent means not there at all, which is stronger than scarce.

Select the pair that has the same relationship as Ancient : Modern.

Options for question 16

Show the explanationHide the explanation

AnswerC · Victory : Defeat

  1. State the relationship first: ancient and modern are opposites (antonyms).

  2. Victory and defeat are opposites, so this pair matches.

  3. Old : Aged and Swift : Quick are synonyms; Tree : Forest is part : whole.

Judge : Court :: Surgeon : ?

Options for question 17

Show the explanationHide the explanation

AnswerA · Operation theatre

  1. Relationship: a court is the place where a judge works (worker : workplace).

  2. A surgeon works in an operation theatre.

Worth noting

A scalpel is the surgeon's tool and a patient is the person treated. Checking the category of the second word (a PLACE) rules them out.

Japan : Yen :: Bangladesh : ?

Options for question 18

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AnswerD · Taka

  1. Relationship: the yen is the currency of Japan (country : currency).

  2. The currency of Bangladesh is the taka.

Worth noting

The rupee is the currency of India and some other neighbours, the ringgit is Malaysia's, and Dhaka is the capital of Bangladesh (country : capital is a different relationship).

Select the pair that has the same relationship as Flower : Garland.

Options for question 19

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AnswerA · Link : Chain

  1. State the relationship in order: many flowers joined together make a garland (unit : whole made of such units).

  2. Many links joined together make a chain, in the same order.

  3. Book : Page and Wall : Brick have the right idea in the WRONG order (whole : unit). A thread is not joined up to make a needle.

Worth noting

Reversed order is the most common analogy trap. Say the sentence with the first word first ('many of the first are joined to make the second') and test each pair in that order.

Whisper : Shout :: Glance : ?

Options for question 20

Show the explanationHide the explanation

AnswerC · Stare

  1. Relationship: whisper and shout are both ways of speaking, at the two extremes (very soft and very loud).

  2. Glance and stare are both ways of looking, at the two extremes (very brief and long and fixed).

  3. So the answer is stare.

Worth noting

Look is the neutral middle word. It would match Whisper : Speak, but shout is the extreme, so the answer must be the extreme form of looking. Blink and eye are not ways of looking at something.

Clock : Time :: Odometer : ?

Options for question 21

Show the explanationHide the explanation

AnswerB · Distance

  1. Relationship: a clock measures time.

  2. An odometer, the meter in a vehicle that counts kilometres, measures the distance travelled.

Worth noting

Speed is measured by the speedometer, the dial right next to the odometer on a dashboard, so it is the tempting wrong answer. A car is where the odometer is fitted, not what it measures.

Number analogies

14 questions

4 : 16 :: 7 : ?

Options for question 22

Show the explanationHide the explanation

AnswerA · 49

  1. 16=4216 = 4^2, so the second number is the square of the first.

  2. 72=497^2 = 49.

Worth noting

343 cubes 7 instead of squaring it, 64 is the square of 8 (a slip of one), and 56 is 7×87 \times 8.

5 : 125 :: 8 : ?

Options for question 23

Show the explanationHide the explanation

AnswerD · 512

  1. 125=53125 = 5^3, so the second number is the cube of the first.

  2. 83=8×8×8=5128^3 = 8 \times 8 \times 8 = 512.

Worth noting

64 is 828^2, a square instead of a cube. 216 and 343 are the cubes of 6 and 7.

7 : 15 :: 11 : ?

Options for question 24

Show the explanationHide the explanation

AnswerA · 23

  1. 15=2×7+115 = 2 \times 7 + 1: double the number and add 1.

  2. 2×11+1=232 \times 11 + 1 = 23.

Worth noting

24 adds 2 instead of 1, and 33 and 34 triple 11 instead of doubling it. Adding the difference 8 to 11 gives 19, which is not offered, a sign that the rule is not 'add 8'.

Select the pair of numbers that has the same relationship as 3 : 27.

Options for question 25

Show the explanationHide the explanation

AnswerD · 4 : 64

  1. 27=3327 = 3^3: the second number is the cube of the first.

  2. 43=644^3 = 64, so 4 : 64 matches.

  3. 5 : 25 is a square, 6 : 12 and 2 : 6 are simple multiples.

8 : 65 :: 11 : ?

Options for question 26

Show the explanationHide the explanation

AnswerC · 122

  1. 82=648^2 = 64 and 65=64+165 = 64 + 1: square the number and add 1.

  2. 112+1=121+1=12211^2 + 1 = 121 + 1 = 122.

Worth noting

121 stops at the square and 120 subtracts 1 instead of adding. 132 is 11×1211 \times 12, which does not fit 8 : 65 (8×9=72)(8 \times 9 = 72).

9 : 72 :: 12 : ?

Options for question 27

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AnswerD · 132

  1. 72=9×872 = 9 \times 8: the number times the number just below it.

  2. 12×11=13212 \times 11 = 132.

Worth noting

110 is 11×1011 \times 10 (both numbers one too small), 120 is 12×1012 \times 10 and 121 is 11211^2. The rule 'multiply by 8' also fits 9 : 72 but gives 96, which is not offered, so test the other natural rule.

36 : 9 :: 47 : ?

Options for question 28

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AnswerB · 11

  1. Division does not carry over (36÷4=936 \div 4 = 9, but 47 is not a multiple of 4), so look at the digits: 3+6=93 + 6 = 9.

  2. For 47: 4+7=114 + 7 = 11.

Worth noting

28 multiplies the digits (4×7)(4 \times 7); for 36 that would give 18, not 9. 74 just reverses the digits and 3 is their difference.

Select the pair of numbers that has the same relationship as 5 : 24.

Options for question 29

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AnswerB · 7 : 48

  1. 24=52−124 = 5^2 - 1: square the first number and subtract 1.

  2. 72−1=49−1=487^2 - 1 = 49 - 1 = 48, so 7 : 48 matches.

  3. 6 : 32 is 62−46^2 - 4, 8 : 64 is 828^2 and 9 : 18 is a double.

Worth noting

6 : 32 is the tempting one because it is also 'a square minus something'; the amount subtracted must be exactly 1, as in 25−1=2425 - 1 = 24.

Which pair of numbers is linked in the same way as 234 is linked to 24?

Options for question 30

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AnswerC · 315 : 15

  1. The digits of 234 multiply to the second number: 2×3×4=242 \times 3 \times 4 = 24.

  2. 3×1×5=153 \times 1 \times 5 = 15, so 315 : 15 matches.

  3. 142 : 7, 521 : 8 and 333 : 9 give the digit SUM, not the product.

Worth noting

Check both digit operations on the given pair: the digit sum of 234 is 9, not 24, so the rule must be the product.

16 : 5 :: 49 : ?

Options for question 31

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AnswerB · 8

  1. 16=4\sqrt{16} = 4 and 5=4+15 = 4 + 1: take the square root and add 1.

  2. 49+1=7+1=8\sqrt{49} + 1 = 7 + 1 = 8.

Worth noting

7 stops at the square root. 13 adds the digits of 49; for 16 that gives 7, not 5, so the digit sum does not fit the first pair.

6 : 222 :: 7 : ?

Options for question 32

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AnswerC · 350

  1. 222 is close to 63=2166^3 = 216, and 222=216+6222 = 216 + 6: cube the number and add the number itself.

  2. 73+7=343+7=3507^3 + 7 = 343 + 7 = 350.

Worth noting

343 forgets to add 7, and 336 subtracts it. 392 is 73+727^3 + 7^2, adding the square instead of the number.

5 : 36 :: 6 : ?

Options for question 33

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AnswerC · 49

  1. 36 is 626^2, and 6 is one more than 5: add 1, then square.

  2. For 6: (6+1)2=72=49(6 + 1)^2 = 7^2 = 49.

Worth noting

36 squares 6 itself, forgetting the '+ 1'. 35 and 50 are 62−16^2 - 1 and 72+17^2 + 1: the pattern is an exact square, with nothing added or subtracted.

Select the pair of numbers that has the same relationship as 11 : 124.

Options for question 34

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AnswerA · 13 : 172

  1. 112=12111^2 = 121 and 124=121+3124 = 121 + 3: square the first number and add 3.

  2. 132+3=169+3=17213^2 + 3 = 169 + 3 = 172, so 13 : 172 matches.

  3. 122+3=14712^2 + 3 = 147, not 146; 142+3=19914^2 + 3 = 199, not 193; 92+3=849^2 + 3 = 84, not 90.

Worth noting

Every pair is 'a square plus or minus a little', so each one must be checked exactly: 12 : 146 is 122+212^2 + 2 and 14 : 193 is 142−314^2 - 3.

216 : 42 :: 512 : ?

Options for question 35

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AnswerB · 72

  1. 216 is 636^3. The second number, 42, is 6×76 \times 7: take the cube root n and find n×(n+1)n \times (n + 1).

  2. 512=83512 = 8^3, so the answer is 8×9=728 \times 9 = 72.

Worth noting

64 is 828^2 and 80 is 8×108 \times 10. 'Cube root times 7' also fits 216 : 42 but gives 56, which is not offered, so the rule must be n(n+1)n(n + 1).

Letter analogies

14 questions

ACE : BDF :: MOQ : ?

Options for question 36

Show the explanationHide the explanation

AnswerD · NPR

  1. Each letter moves one place forward: A→B, C→D, E→F.

  2. Apply +1 to M, O, Q: N, P, R.

Worth noting

LNP moves backwards and OQS moves two places. NOP keeps the first letter's+1s + 1 but then just continues the alphabet.

CAT : DBU :: DOG : ?

Options for question 37

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AnswerA · EPH

  1. Every letter of CAT moves one place forward: C→D, A→B, T→U.

  2. D→E, O→P, G→H, giving EPH.

Worth noting

CNF moves each letter back instead of forward. EPG forgets to shift the last letter.

AZ : BY :: CX : ?

Options for question 38

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AnswerC · DW

  1. The first letter moves forward one place (A→B) and the second moves back one place (Z→Y).

  2. C moves forward to D and X moves back to W: DW.

Worth noting

DY moves both letters forward. Reading the pattern one position at a time avoids this.

D : 16 :: G : ?

Options for question 39

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AnswerD · 49

  1. D is the 4th letter of the alphabet and 16=4216 = 4^2.

  2. G is the 7th letter, so the answer is 72=497^2 = 49.

Worth noting

7 is just the position of G, 14 doubles it, and 36 is the square of 6 (F, not G).

Select the pair of letter groups that has the same relationship as PQ : RS.

Options for question 40

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AnswerB · KL : MN

  1. Each letter of PQ moves two places forward: P→R, Q→S.

  2. K→M and L→N, so KL : MN matches.

  3. KL : NO moves three places, KL : LM one place and KL : JK one place back.

BDF : GIK :: LNP : ?

Options for question 41

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AnswerD · QSU

  1. B→G, D→I and F→K are each a jump of 5 letters.

  2. L+5 = Q, N+5 = S, P+5 = U: QSU.

Worth noting

PRT and RTV come from miscounting the jump as 4 or 6. Count positions (B = 2, G = 7) instead of counting on your fingers.

ABC : ZYX :: DEF : ?

Options for question 42

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AnswerB · WVU

  1. Z is the letter opposite A (A is 1st, Z is 26th; 1+26=271 + 26 = 27). Likewise B↔Y and C↔X.

  2. Opposites of D, E, F: 27−4=2327 - 4 = 23 (W), 27−5=2227 - 5 = 22 (V), 27−6=2127 - 6 = 21 (U), giving WVU.

Worth noting

UVW has the right letters in the reverse order. XWV is one place off, starting from the opposite of C.

Select the pair of letter groups that has the same relationship as ACE : BEH.

Options for question 43

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AnswerC · GIK : HKN

  1. A→B is +1, C→E is +2, E→H is +3: the shifts grow by one each time.

  2. G+1 = H, I+2 = K, K+3 = N, so GIK : HKN matches.

  3. GIK : HJL uses +1 throughout, GIK : IKM +2 throughout, and GIK : HLO +1, +3, +4.

Worth noting

Check every position separately; a pair that is right in the first letter can still be wrong later.

Select the pair of letter groups that has the same relationship as LAMP : PMAL.

Options for question 44

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AnswerA · DESK : KSED

  1. PMAL is LAMP written backwards.

  2. DESK backwards is KSED, so DESK : KSED matches.

  3. EDKS swaps the letters in pairs, SKDE swaps the two halves, and KDES moves only the last letter to the front.

BAD : 7 :: FACE : ?

Options for question 45

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AnswerB · 15

  1. B = 2, A = 1, D = 4, and 2+1+4=72 + 1 + 4 = 7: add the letter positions.

  2. F = 6, A = 1, C = 3, E = 5: 6+1+3+5=156 + 1 + 3 + 5 = 15.

Worth noting

90 multiplies the positions (6×1×3×5)(6 \times 1 \times 3 \times 5); for BAD that gives 8, not 7. 14 and 16 are slips of one in the sum.

PEN : QGQ :: INK : ?

Options for question 46

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AnswerD · JPN

  1. P→Q is +1, E→G is +2, N→Q is +3.

  2. I+1 = J, N+2 = P, K+3 = N, giving JPN.

Worth noting

JOL applies +1 to every letter. JPM gets the first two letters right but adds only 2 to the last.

ACEG : ZXVT :: BDFH : ?

Options for question 47

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AnswerA · YWUS

  1. Each letter is replaced by its opposite: A↔Z, C↔X, E↔V, G↔T (the positions add to 27).

  2. Opposites of B, D, F, H: Y, W, U, S, giving YWUS.

Worth noting

SUWY has the right letters in reverse order. XVTR and ZXVT come from using the wrong total: 26 − position gives XVTR and 28 − position gives ZXVT. For opposite letters the positions always add to 27 (A + Z = 1+261 + 26).

DRIVE : EQJUF :: SMILE : ?

Options for question 48

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AnswerC · TLJKF

  1. D→E (+1), R→Q (−1), I→J (+1), V→U (−1), E→F (+1): the letters move forward and back alternately.

  2. S+1 = T, M−1 = L, I+1 = J, L−1 = K, E+1 = F, giving TLJKF.

Worth noting

TNJMF moves every letter forward and RLHKD every letter back. TLJMF slips on the fourth letter, moving L forward instead of back.

Select the pair of letter groups that has the same relationship as GH : TS.

Options for question 49

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AnswerB · KL : PO

  1. G is 7th and T is 20th (7+20=27)(7 + 20 = 27), H is 8th and S is 19th (8+19=27)(8 + 19 = 27): each letter is replaced by its opposite, in the same order.

  2. Opposite of K (11th) is P (16th); opposite of L (12th) is O (15th). So KL : PO matches.

  3. KL : OP has the right letters in reverse order; KL : QP starts one letter past the opposite.

Worth noting

In GH : TS the second group looks 'backwards' (T before S), which is exactly what opposites of consecutive letters look like. Reading it as a reversal leads to KL : OP.

Classification: the odd one out

17 questions

Find the odd one out: Mango, Guava, Papaya, Potato.

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AnswerD · Potato

  1. Mango, guava and papaya are fruits.

  2. Potato is a vegetable (an underground stem, or tuber), so it is the odd one out.

Which musical instrument is the odd one out: Violin, Flute, Sitar, Guitar?

Options for question 51

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AnswerB · Flute

  1. Violin, sitar and guitar are string instruments: they make sound when strings vibrate.

  2. A flute is a wind instrument, played by blowing air, so it is the odd one out.

Which unit is the odd one out: Centimetre, Kilometre, Kilogram, Millimetre?

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AnswerC · Kilogram

  1. Centimetre, kilometre and millimetre are units of length.

  2. Kilogram is a unit of mass, so it is the odd one out.

Worth noting

Do not be misled by the shared prefix 'kilo'. Kilometre and kilogram share it, but they measure different things.

Which number is the odd one out: 15, 17, 23, 29?

Options for question 53

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AnswerA · 15

  1. 17, 23 and 29 have no factors other than 1 and themselves: they are prime.

  2. 15=3×515 = 3 \times 5, so it is not prime and is the odd one out.

Which number is the odd one out: 36, 81, 136, 169?

Options for question 54

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AnswerC · 136

  1. 36=6236 = 6^2, 81=9281 = 9^2 and 169=132169 = 13^2 are perfect squares.

  2. 136 lies between 112=12111^2 = 121 and 122=14412^2 = 144, so it is not a perfect square.

Worth noting

136 ends in 6 like 36, and that can make it look like a square. A last digit of 6 is possible for a square but does not prove one.

Which letter group is the odd one out: CEG, GIK, MOQ, RTW?

Options for question 55

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AnswerD · RTW

  1. In CEG, GIK and MOQ each letter is two places after the one before it (C, skip D, E, skip F, G).

  2. In RTW, R→T is 2 places but T→W is 3 places, so RTW is the odd one out.

Find the odd one out: Bat, Pigeon, Sparrow, Parrot.

Options for question 56

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AnswerA · Bat

  1. All four can fly, so flying is not the test.

  2. Pigeon, sparrow and parrot are birds: they have feathers and lay eggs.

  3. A bat is a mammal: it has fur and feeds its young on milk. So bat is the odd one out.

Worth noting

The obvious shared feature (flying) is shared by all four. Look one level deeper, at the animal group.

Which of these is the odd one out: Copper, Silver, Gold, Bronze?

Options for question 57

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AnswerD · Bronze

  1. Copper, silver and gold are pure metals, each a chemical element.

  2. Bronze is an alloy, a mixture made mainly of copper and tin, so it is the odd one out.

Worth noting

All four are metals used for medals and coins, so 'metal' does not separate them. The difference is element versus alloy.

Which number is the odd one out: 8, 9, 27, 64?

Options for question 58

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AnswerB · 9

  1. 8=238 = 2^3, 27=3327 = 3^3 and 64=4364 = 4^3 are perfect cubes.

  2. 9 is 323^2, a square but not a cube, so it is the odd one out.

Worth noting

64 is also a perfect square (82)(8^2), so 'square' does not single out one number here (9 and 64 are both squares). Only 'cube' splits the four as three and one.

Which number is the odd one out: 135, 145, 243, 351?

Options for question 59

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AnswerB · 145

  1. Add the digits: 1+3+5=91 + 3 + 5 = 9, 2+4+3=92 + 4 + 3 = 9, 3+5+1=93 + 5 + 1 = 9.

  2. 1+4+5=101 + 4 + 5 = 10, so 145 is the odd one out.

Worth noting

Equivalently, 135, 243 and 351 are divisible by 9 and 145 is not. Divisibility by 5 does not help: 135 and 145 both end in 5.

Which number is the odd one out: 51, 57, 61, 87?

Options for question 60

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AnswerC · 61

  1. 51=3×1751 = 3 \times 17, 57=3×1957 = 3 \times 19 and 87=3×2987 = 3 \times 29, so these three are composite (each is divisible by 3).

  2. 61 has no factor other than 1 and 61, so it is the only prime and is the odd one out.

Worth noting

51, 57 and 87 look prime, which is the trap. Test divisibility by 3 with the digit sum (5+1=65 + 1 = 6, 5+7=125 + 7 = 12, 8+7=158 + 7 = 15).

Which number pair is the odd one out: 4 : 16, 6 : 36, 7 : 56, 9 : 81?

Options for question 61

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AnswerC · 7 : 56

  1. In 4 : 16, 6 : 36 and 9 : 81 the second number is the square of the first.

  2. 72=497^2 = 49, not 56 (56=7×8)(56 = 7 \times 8). So 7 : 56 is the odd one out.

Which letter group is the odd one out: JR, BY, DW, HS?

Options for question 62

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AnswerA · JR

  1. B (2nd) and Y (25th) are opposite letters: 2+25=272 + 25 = 27. So are D and W (4+23)(4 + 23) and H and S (8+19)(8 + 19).

  2. J is 10th and R is 18th, and 10+18=2810 + 18 = 28. The opposite of J is Q, so JR is the odd one out.

Worth noting

The gaps between the two letters (23, 19, 11, 8) follow no pattern, so the gap is not the rule here. When gaps fail, test whether the two letters are opposites.

Which letter group is the odd one out: CDF, GHJ, MNP, STW?

Options for question 63

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AnswerD · STW

  1. In CDF, GHJ and MNP the gaps are +1 then +2 (C→D→F).

  2. In STW the gaps are +1 then +3 (S→T→W), so STW is the odd one out.

Which shape is the odd one out: Trapezium, Square, Rhombus, Rectangle?

Options for question 64

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AnswerA · Trapezium

  1. A square, a rhombus and a rectangle each have two pairs of parallel sides, so all three are parallelograms.

  2. A trapezium has only one pair of parallel sides, so it is not a parallelogram. It is the odd one out.

Worth noting

Grouping by 'all sides equal' gives square and rhombus against rectangle and trapezium, a 2–2 split, so it cannot find a single odd one. Look for the property that exactly three share.

Which number is the odd one out: 119, 133, 143, 217?

Options for question 65

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AnswerC · 143

  1. 119=7×17119 = 7 \times 17, 133=7×19133 = 7 \times 19 and 217=7×31217 = 7 \times 31: all three are multiples of 7.

  2. 143=11×13143 = 11 \times 13 is not divisible by 7, so it is the odd one out.

Worth noting

None of the four is prime, even though all four look as if they might be. When the easy tests (even, 3, 5) fail, try 7, 11 and 13.

Which letter group is the odd one out: KLNQ, BCEI, DEGK, HIKO?

Options for question 66

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AnswerA · KLNQ

  1. In BCEI the gaps are +1, +2, +4 (B→C→E→I); DEGK and HIKO have the same +1, +2, +4 gaps.

  2. In KLNQ the gaps are +1, +2, +3 (K→L→N→Q), so it is the odd one out.

Worth noting

The first two gaps agree in every group, so the break only shows in the last gap. Write the positions (K = 11, L = 12, N = 14, Q = 17) rather than guessing.

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