A set of words : spot the class
The fruit seller has a mango, a banana and a guava. Which would you pick next? A grape, because it is a fruit too; not an onion, because it is a vegetable. Choosing a new term that belongs with a set is what "term that belongs to a set" means.
Here a set (a few terms of one family) is given first. Find the criterion that joins all of them and pick the one of the four options that fits it. It is the opposite of the "odd one out" lesson : there you find the one that is different, here you find the one that fits.
How to find the term that belongs
| Step | What to do |
|---|---|
| 1 | Find the criterion that joins everything in the set |
| 2 | Apply that criterion to each option |
| 3 | Pick the one that fits; drop the others |
First find the criterion (class) of the set : fruits, vegetables, animals, birds, weekdays, months.
- E.g. Mango, banana, guava : criterion fruits.
Apply the criterion to the options one by one.
- E.g. Potato (vegetable) no, grape (fruit) yes, onion (vegetable) no, carrot (vegetable) no.
Only one option should fit the class. If two fit, make the criterion more exact.
- E.g. Set Monday, Wednesday, Friday : criterion weekday; among the options "Sunday" is the only weekday.
Choose by quality, not by looks : flowers, birds, vehicles are qualities.
- E.g. Rose, jasmine, champak : flowers. Marigold is a flower; peepal is a tree, mango a fruit, wheat a grain.
Which term belongs with mango, banana, guava? (1) Potato (2) Grape (3) Onion (4) Carrot
- Criterion : fruits.
- A grape is a fruit. Answer : (2) Grape.
Which term belongs with Monday, Wednesday, Friday? (1) May (2) Sunday (3) Winter (4) East
- Criterion : weekdays.
- Sunday is a weekday. Answer : (2) Sunday.
Which term belongs with rose, jasmine, champak? (1) Peepal (2) Marigold (3) Mango (4) Wheat
- Criterion : flowers.
- Peepal is a tree, mango a fruit, wheat a grain; marigold is a flower. Answer : (2) Marigold.
First the criterion, then the options. If you do not know the criterion, do not look at the options.
Picking the first familiar option. Apply every option to the criterion.
Memory clue : "First the criterion of the set, then the options one by one."
If the criterion does not come at once recall the three names : class, use and place.
Spot the difference
| Lesson | What to find |
|---|---|
| Odd one out | The different one in the set |
| Term that belongs to a set | The one that fits the set |
| Analogy | The same link |
Practice questions
- 1Which term belongs with crow, sparrow, peacock? (1) Tiger (2) Kite (3) Fish (4) Tortoise
- 2Which term belongs with red, yellow, blue? (1) Green (2) Monday (3) Round (4) Square
- 3Which term belongs with bus, truck, car? (1) Ship (2) Aeroplane (3) Rickshaw (4) Ox
- 4Which term belongs with pencil, pen, chalk? (1) Scissors (2) Blackboard (3) Notebook (4) Sketch pen
- 5Which term belongs with Delhi, Mumbai, Kolkata? (1) Ganga (2) Chennai (3) Himalaya (4) Marathi
- 6Which term belongs with wheat, rice, jowar? (1) Moong (2) Bajra (3) Tur (4) Gram
- 7Which term belongs with north, south, east? (1) Sky (2) West (3) Sun (4) Moon
- 8Which term belongs with June, July, August? (1) Wednesday (2) September (3) Monsoon (4) Saturday
Show answers (try them yourself first)
- 1(2) Kite (a bird).
- 2(1) Green (a colour).
- 3(3) Rickshaw (a vehicle that runs on the road).
- 4(4) Sketch pen (a writing tool).
- 5(2) Chennai (a city).
- 6(2) Bajra (a grain).
- 7(2) West (a direction).
- 8(2) September (a month).
A set of words : use and quality
In the kitchen the spoon, the bowl and the plate are kept together because they are dining utensils. The pot belongs among them too. Sometimes a set is made by use and not by class.
A set is sometimes formed by use (cutting, writing, eating) or by quality (meat-eating, giving light, thread for cloth). Find that criterion and choose the option in the same way.
Use and quality
| Criterion | Example set |
|---|---|
| Food | Lion, tiger, cheetah (meat-eaters) |
| Place | Boat, ship, launch (on water) |
| Use | Scissors, knife, sickle (cutting) |
| Quality | Sun, star, lamp (give light) |
See what they eat or what they do (food, work).
- E.g. Lion, tiger, cheetah : meat-eaters. A wolf is a meat-eater.
See where they are (on water, on land, in the air).
- E.g. Boat, ship, launch : things that go on water. A canoe goes on water.
See what they are used for.
- E.g. Scissors, knife, sickle : tools for cutting. An axe cuts.
See what special quality they share (gives light, sweet, soft).
- E.g. Sun, star, lamp : give light by themselves. A torch gives light; the moon only reflects light.
Which term belongs with lion, tiger, cheetah? (1) Cow (2) Wolf (3) Goat (4) Deer
- Criterion : meat-eating animals.
- A wolf eats meat; the cow, goat and deer are plant-eaters. Answer : (2) Wolf.
Which term belongs with boat, ship, launch? (1) Bus (2) Canoe (3) Cycle (4) Aeroplane
- Criterion : things that go on water.
- A canoe goes on water. Answer : (2) Canoe.
Which term belongs with sun, star, lamp? (1) Moon (2) Torch (3) Stone (4) Book
- Criterion : give light by themselves.
- The bulb of a torch gives light by itself; the moon reflects light. Answer : (2) Torch.
A set is sometimes formed by use or quality and not by class; take that criterion.
Choosing because "they look alike". See use and quality, not looks.
Memory clue : "What does it eat? Where is it? What is it for? What quality?"
Say the set and the option in one sentence : "These are all ___".
Spot the difference
| Criterion | Example |
|---|---|
| Food | Lion : meat-eater |
| Place | Boat : on water |
| Use | Scissors : cutting |
Practice questions
- 1Which term belongs with cotton, wool, silk? (1) Nylon (2) Stone (3) Wood (4) Glass
- 2Which term belongs with spoon, bowl, plate? (1) Chair (2) Pot (3) Blackboard (4) Curtain
- 3Which term belongs with eye, ear, nose? (1) Hand (2) Tongue (3) Leg (4) Stomach
- 4Which term belongs with pond, river, sea? (1) Mountain (2) Well (3) Field (4) Road
- 5Which term belongs with teacher, doctor, lawyer? (1) Dog (2) Farmer (3) House (4) Tree
- 6Which term belongs with book, notebook, newspaper? (1) Chair (2) Magazine (3) Needle (4) Stone
- 7Which term belongs with scissors, knife, sickle? (1) Spoon (2) Axe (3) Hammer (4) Pen
- 8Which term belongs with sugar, honey, jaggery? (1) Salt (2) Lemon (3) Jalebi (4) Chilli
Show answers (try them yourself first)
- 1(1) Nylon (a thread for cloth).
- 2(2) Pot (a kitchen utensil).
- 3(2) Tongue (a sense organ).
- 4(2) Well (a store of water).
- 5(2) Farmer (a person's work).
- 6(2) Magazine (reading material).
- 7(2) Axe (a cutting tool).
- 8(3) Jalebi (a sweet food).
A set of numbers : even, odd and tables
When we say 5, 10, 15 the next, 20, comes to mind by itself because it is in the table of 5. Sets of numbers have such criteria too : even-odd, tables, last digit.
If a set of numbers is given, find the criterion that fits all of them (even, odd, table, last digit). Then see whether the number in an option fits that criterion.
Criteria for numbers
| Criterion | Example set |
|---|---|
| Even | 2, 4, 6 |
| Odd | 1, 3, 5 |
| Table | 14, 28, 42 (table of 7) |
| Last digit | 13, 23, 33 (ends in 3) |
See whether they are even or odd.
- E.g. 2, 4, 6 are even. Among the options 8 is even; 9, 11, 15 are odd.
See whether they are in the same table.
- E.g. 14, 28, 42 are in the table of 7. 56 = 7 × 8.
See whether all have the same last digit.
- E.g. 13, 23, 33 : ending in 3. Among the options 43.
If more than one option fits, find a more exact criterion.
- E.g. 10, 20, 30 are even, but they are in the table of 10; among the options only 40 is in the table of 10.
Which number belongs with 2, 4, 6? (1) 9 (2) 8 (3) 11 (4) 15
- 2, 4, 6 are even numbers.
- 8 is even; the others are odd. Answer : (2) 8.
Which number belongs with 14, 28, 42? (1) 56 (2) 50 (3) 60 (4) 45
- All are in the table of 7 : 7 × 2, 7 × 4, 7 × 6.
- 56 = 7 × 8. Answer : (1) 56.
Which number belongs with 22, 33, 44? (1) 54 (2) 66 (3) 70 (4) 75
- All are in the table of 11 : 11 × 2, 11 × 3, 11 × 4.
- 66 = 11 × 6. Answer : (2) 66.
Apply the criteria to the numbers one by one : even-odd, table, last digit.
Looking only at even-odd. 14, 28, 42 are even, but the real criterion for all of them is the table of 7.
Memory clue : "Even-odd, table, last digit : three checks."
Find the difference of the first two numbers of the set; that is the number of the table.
Spot the difference
| Set | Criterion |
|---|---|
| 2, 4, 6 | Even numbers |
| 14, 28, 42 | Table of 7 |
| 13, 23, 33 | Last digit 3 |
Practice questions
- 1Which number belongs with 1, 3, 5? (1) 7 (2) 8 (3) 10 (4) 12
- 2Which number belongs with 10, 20, 30? (1) 35 (2) 40 (3) 45 (4) 55
- 3Which number belongs with 6, 12, 18? (1) 20 (2) 24 (3) 28 (4) 32
- 4Which number belongs with 9, 18, 27? (1) 30 (2) 36 (3) 40 (4) 44
- 5Which number belongs with 4, 8, 12? (1) 14 (2) 16 (3) 18 (4) 22
- 6Which number belongs with 13, 23, 33? (1) 43 (2) 44 (3) 45 (4) 46
- 7Which number belongs with 2, 3, 5, 7? (1) 9 (2) 11 (3) 15 (4) 21
- 8Which number belongs with 1, 4, 9, 16? (1) 20 (2) 24 (3) 25 (4) 30
Show answers (try them yourself first)
- 1(1) 7 (odd).
- 2(2) 40 (table of 10).
- 3(2) 24 (table of 6).
- 4(2) 36 (table of 9).
- 5(2) 16 (table of 4).
- 6(1) 43 (last digit 3).
- 7(2) 11 (a prime number).
- 8(3) 25 (a square number; 5 × 5).
A set of numbers : squares, primes and the sum of digits
Where have we seen 4, 9, 25? 2 × 2, 3 × 3, 5 × 5. Sets like this, which are not in tables, need another criterion : squares, primes or the sum of digits.
If none of even-odd, table or last digit fits, check square numbers, prime numbers (divisible only by 1 and themselves) and the sum of digits.
Next criteria
| Criterion | Example set |
|---|---|
| Square | 16, 25, 36 |
| Cube | 1, 8, 27, 64 |
| Prime | 11, 13, 17 |
| Sum of digits | 13, 22, 31 (sum 4) |
Spot squares : was the number made by multiplying a number by itself (4 = 2 × 2, 9 = 3 × 3).
- E.g. 16, 25, 36 : 4², 5², 6². The next is 49.
Spot cubes : a number made by multiplying three times (8 = 2 × 2 × 2).
- E.g. 1, 8, 27, 64 : cube numbers. The next is 125.
Spot primes : divisible only by 1 and themselves.
- E.g. 11, 13, 17, 19 : prime numbers.
See whether the sum of digits is the same.
- E.g. 13, 22, 31 : 1 + 3, 2 + 2, 3 + 1 = 4. In 40, 4 + 0 = 4.
Which number belongs with 13, 22, 31? (1) 40 (2) 35 (3) 44 (4) 50
- The sum of digits of all is 4.
- In 40, 4 + 0 = 4; in the others 8, 8, 5. Answer : (1) 40.
Which number belongs with 4, 9, 25? (1) 16 (2) 49 (3) 36 (4) 64
- 4 = 2², 9 = 3², 25 = 5² : squares of prime numbers.
- 49 = 7². Answer : (2) 49.
Which number belongs with 11, 13, 17? (1) 21 (2) 27 (3) 19 (4) 25
- All are prime numbers.
- 21 = 3 × 7, 27 = 3 × 9, 25 = 5 × 5; 19 is prime. Answer : (3) 19.
Squares, cubes, primes and sum of digits : check these four criteria after the tables.
Taking 1 as a prime number. 1 is not prime; a prime number has two factors.
Memory clue : "Square, cube, prime, sum : first table, then these."
Recall the first squares : 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
Spot the difference
| Set | Criterion |
|---|---|
| 16, 25, 36 | Squares |
| 1, 8, 27 | Cubes |
| 23, 29, 31 | Prime numbers |
Practice questions
- 1Which number belongs with 14, 23, 32? (1) 41 (2) 43 (3) 52 (4) 60
- 2Which number belongs with 1, 8, 27, 64? (1) 100 (2) 125 (3) 150 (4) 200
- 3Which number belongs with 16, 25, 36? (1) 40 (2) 45 (3) 49 (4) 50
- 4Which number belongs with 23, 29, 31? (1) 33 (2) 35 (3) 37 (4) 39
- 5Which number belongs with 12, 18, 24, 30? (1) 32 (2) 34 (3) 36 (4) 38
- 6Which number belongs with 100, 121, 144? (1) 160 (2) 169 (3) 175 (4) 180
- 7Which number belongs with 21, 35, 49? (1) 56 (2) 63 (3) 70 (4) 72
- 8Which number belongs with 26, 34, 43? (1) 62 (2) 63 (3) 52 (4) 41
Show answers (try them yourself first)
- 1(1) 41 (sum of digits 5).
- 2(2) 125 (a cube; 5 × 5 × 5).
- 3(3) 49 (a square; 7 × 7).
- 4(3) 37 (a prime number).
- 5(3) 36 (table of 6).
- 6(2) 169 (a square; 13 × 13).
- 7(2) 63 (table of 7 and odd; 56, 70, 72 are even).
- 8(1) 62 (product of digits 12 : 2 × 6, 3 × 4, 4 × 3, 6 × 2).
Mixed questions and exam tricks
A friend says, "Tell me a number like 2, 4, 8." If you say "12" he says, "No, 16." Because 12 is even, but in 2, 4, 8 the numbers double each time. The criterion that drops three of the four options is the true one.
One set can fit two criteria. The criterion that picks out only one of the four options is the true criterion. This trick works for words, numbers and letters.
List of all criteria
| Set | Criteria |
|---|---|
| Words | Class, use, place, food |
| Numbers | Even-odd, table, last digit |
| Special numbers | Square, cube, prime, doubling |
| Letters | Vowels, even places, alternate letters |
Find a criterion that fits everything in the set.
- E.g. 2, 4, 8 : two criteria, even and doubling each time.
Apply each criterion to the options; it must pick out only one option.
- E.g. The criterion "even" fits all of 12, 16, 20, 24; so it does not work.
Take the criterion that picks out only one option.
- E.g. "Doubling each time" : 2, 4, 8, 16. Among the options 16.
In a set of letters look at vowels or the number of the letter.
- E.g. A, E, I : vowels. Among the options O.
Which number belongs with 2, 4, 8? (1) 12 (2) 16 (3) 20 (4) 24
- "Even" fits all four options, so it does not work.
- Doubling each time : 2, 4, 8, 16. Answer : (2) 16.
Which term belongs with parrot, pigeon, sparrow? (1) Bat (2) Crow (3) Fish (4) Snake
- Criterion : birds.
- A crow is a bird; a bat is not a bird. Answer : (2) Crow.
Which number belongs with 1, 8, 27? (1) 36 (2) 49 (3) 64 (4) 81
- 1, 8, 27 are cubes : 1³, 2³, 3³.
- 64 = 4³; 36, 49 and 81 are squares, not cubes. Answer : (3) 64.
The criterion that picks out only one option is the true criterion.
Sticking to the first criterion that came to mind till the end. If it fits three options, change it.
Memory clue : "The criterion that picks one option is true."
Once the criterion fits, drop the other three options; when one is left that is the answer.
Spot the difference
| Result of the criterion | Meaning |
|---|---|
| Only one option fits | The criterion is right |
| All four options fit | Change the criterion |
| No option fits | The criterion is wrong |
Practice questions
- 1Which number belongs with 3, 6, 12? (1) 15 (2) 18 (3) 24 (4) 30
- 2Which term belongs with cat, dog, rabbit? (1) Parrot (2) Cow (3) Fish (4) Snake
- 3Which number belongs with 1, 4, 9? (1) 10 (2) 12 (3) 16 (4) 18
- 4Which letter belongs with A, E, I? (1) K (2) O (3) P (4) R
- 5Which letter belongs with B, D, F? (1) H (2) G (3) I (4) K
- 6Which number belongs with 5, 7, 11? (1) 9 (2) 13 (3) 15 (4) 21
- 7Which number belongs with 10, 15, 20? (1) 22 (2) 25 (3) 28 (4) 32
- 8Which number belongs with 7, 14, 21? (1) 24 (2) 28 (3) 30 (4) 32
Show answers (try them yourself first)
- 1(3) 24 (doubling each time : 3, 6, 12, 24).
- 2(2) Cow (four-legged animals).
- 3(3) 16 (a square number).
- 4(2) O (a vowel).
- 5(1) H (numbers 2, 4, 6, 8 : letters at even places).
- 6(2) 13 (a prime number).
- 7(2) 25 (table of 5).
- 8(2) 28 (table of 7).
Quick revision of the whole lesson
| Topic | Memory clue |
|---|---|
| Words : class | First the criterion of the set, then the options one by one |
| Words : use, quality | What does it eat? Where is it? What is it for? What quality? |
| Numbers : even, table | Even-odd, table, last digit |
| Numbers : square, prime | Square, cube, prime, sum |
| Mixed | The criterion that picks one option is true |
| Checking | Is the chosen option like the set? |
🎯 Most important points for the exam
- First find the criterion of the set; then apply the options one by one.
- For words see class, food, place and use.
- For numbers check even-odd, table and last digit.
- Then check squares, cubes, primes and the sum of digits.
- The criterion that picks only one of the four options is the true one.
- This lesson is the opposite of "odd one out" : here you find the one that fits.
- After choosing, check once more that it is like the set.
"Find the criterion of the set; the one that picks a single option is true."