Venn diagrams and drawing inferences - One Line Questions
1.
If Set P = {Prime Numbers} and Set Q = {Even Numbers}, what is P ∩ Q? —
{2}
2.
In a group of 60 people, 30 like Apples, 25 like Bananas, and 10 like both. How many like neither? —
15
3.
In a village, 60% of families have a TV, 40% have a radio, and 20% have both. What percentage have neither? —
20%
4.
If 85% of students passed English and 75% passed Maths, and 70% passed both, what percentage passed only English? —
15%
5.
If 70% of people like Apples and 50% like Bananas, and 30% like both, what percentage likes neither? —
10%
6.
If 80% of students passed in English and 70% passed in Hindi, and 60% passed in both, what percentage passed only Hindi? —
10%
7.
If 70% of students passed in Math and 60% passed in Science, and 40% passed in both, what percentage passed in at least one subject? —
90%
8.
In a survey of 150 students, 80 play Tennis, 70 play Badminton, and 40 play both. How many play at least one sport? —
120
9.
In a survey of 200 athletes, 120 play Football, 100 play Basketball, and 60 play both. How many play only Basketball? —
60
10.
In a group of 100 students, 70 passed in English, 60 passed in Hindi, and 40 passed in both. How many students passed in at least one subject? —
90
11.
In a group of 50 people, 30 play Cricket, 25 play Football, and 10 play both. How many play only Football? —
15
12.
In a survey of 200 people, 120 read Newspaper X, 90 read Newspaper Y, and 50 read both. How many read neither newspaper? —
20
13.
In a group of 75 students, 40 play Hockey, 35 play Cricket, and 15 play both. How many play only Cricket? —
20
14.
In a class of 60 students, 35 have a bicycle, 45 have a scooter, and 20 have both. How many students have neither a bicycle nor a scooter? —
5
15.
If 95% of students passed Physics and 85% passed Chemistry, and 80% passed both, what percentage passed only Physics? —
15%
16.
If 90% of students passed Physics and 80% passed Chemistry, and 75% passed both, what percentage failed both? —
5%
17.
In a class, 50 students like Coffee, 60 like Tea, and 20 like both. How many students like only Coffee? —
30
18.
In a group of 80 people, 50 like Tea, 40 like Coffee, and 20 like both. How many like only Tea? —
30
19.
In a group of 90 students, 50 play Chess, 40 play Ludo, and 20 play both. How many play only Chess? —
30
20.
In a group of 50 singers, 30 sing classical music, 25 sing folk music, and 10 sing both. How many sing only folk music? —
25
21.
In a survey of 100 people, 70 own a Car, 60 own a Bike, and 40 own both. How many own only a Car? —
30
22.
If 50% of candidates cleared Paper 1, 60% cleared Paper 2, and 30% cleared both, what percentage cleared at least one paper? —
80%
23.
If 60% of people like Tea and 40% like Coffee, and 20% like both, what percentage likes at least one? —
80%
24.
In a group of 80 professionals, 50 are Engineers, 40 are Managers, and 20 are both. How many are only Engineers? —
30
25.
If Set A = {Even Numbers} and Set B = {Multiples of 4}, which statement is true? —
B is a subset of A.
26.
Consider the statement: 'Some animals are pets. All pets are domesticated.' What can be inferred? —
Some animals are domesticated.
27.
Consider the statement: 'All cars have wheels. All things with wheels move.' What can be inferred? —
All cars move.
28.
Consider the statement: 'Some cats are black. All black things are not white.' What can be inferred? —
Some cats are not white.
29.
Consider the statement: 'All dogs are mammals. Some mammals are black.' What can be inferred? —
Some dogs are not black.
30.
Consider the statement: 'Some leaders are honest. All honest people are respected.' What can be inferred? —
Some leaders are respected.
31.
If the set of 'Professors' is a subset of 'Academicians', and 'Doctors' are also 'Academicians', what is the inference? —
Some Professors might be Doctors, and both are Academicians.
32.
Consider the statement: 'All squares are quadrilaterals. All quadrilaterals have four sides.' What can be inferred? —
All squares have four sides.
33.
Consider the statement: 'All squares are rectangles. All rectangles have four sides.' What can be inferred? —
All squares have four sides.
34.
Consider the statement: 'Some workers are efficient. All efficient people are disciplined.' What can be inferred? —
Some workers are disciplined.
35.
Consider the sets: A = {1, 2, 3, 4}, B = {3, 4, 5, 6}. What does the intersection A ∩ B represent? —
Elements common to both A and B
36.
Which Venn diagram represents 'Students', 'Passes', and 'Fails'? —
'Passes' and 'Fails' are mutually exclusive categories within 'Students'.
37.
Which Venn diagram represents 'Students', 'Boys', and 'Girls'? —
'Boys' and 'Girls' are mutually exclusive categories within 'Students'.
38.
Consider the statement: 'All men are mortal. Socrates is a man.' What inference can be drawn? —
Socrates is mortal.
39.
Consider the statement: 'All poets are dreamers. All dreamers are imaginative.' What can be inferred? —
All poets are imaginative.
40.
If a Venn diagram shows 'Birds', 'Sparrows', and 'Eagles', what is the typical representation? —
Sparrows and Eagles are separate, both within the 'Birds' circle.
41.
If 'Doctors', 'Surgeons', and 'Physicians' are represented in a Venn diagram, which relationship is most likely? —
All Surgeons are Doctors, and all Physicians are Doctors, with some overlap between Surgeons and Physicians.
42.
Which Venn diagram represents 'Animals', 'Mammals', and 'Dogs'? —
'Mammals' circle inside 'Animals', and 'Dogs' circle inside 'Mammals'.
43.
Which of the following Venn diagrams best represents the relationship between 'Fruits', 'Apples', and 'Oranges'? —
One circle inside another, with a third separate circle
44.
Which Venn diagram represents 'Teachers', 'Male Teachers', and 'Female Teachers'? —
'Male Teachers' and 'Female Teachers' are mutually exclusive categories within 'Teachers'.
45.
Which Venn diagram correctly depicts the relationship between 'Vegetables', 'Carrots', and 'Potatoes'? —
'Carrots' and 'Potatoes' are distinct categories within the 'Vegetables' circle.
46.
Which Venn diagram illustrates the relationship between 'Musicians', 'Pianists', and 'Guitarists'? —
Overlapping circles for 'Pianists' and 'Guitarists' within 'Musicians'.
47.
Which Venn diagram represents 'Writers', 'Novelists', and 'Poets'? —
Overlapping circles for 'Novelists' and 'Poets' within 'Writers'.
48.
Which Venn diagram best represents 'Doctors', 'Gynaecologists', and 'Paediatricians'? —
Overlapping circles for 'Gynaecologists' and 'Paediatricians' within 'Doctors'.
49.
Which Venn diagram shows the relationship between 'Furniture', 'Chairs', and 'Tables'? —
'Chairs' and 'Tables' are distinct categories within 'Furniture'.
50.
Which Venn diagram shows the relationship between 'Mammals', 'Whales', and 'Fish'? —
Whales are mammals, and fish are separate.