Unit 2: Syllogism and Number Ranking Test - Practice Quiz

1 Which Venn diagram relationship best represents Dogs, Animals, and Cats?

2 If all mangoes are fruits, how should the groups Mangoes and Fruits be shown?

3 Which diagram relationship represents the statement No pen is a pencil?

4 Two overlapping circles in a Venn diagram generally show that the two groups have:

5 Which relationship best represents Teachers, Women, and Mothers?

6 Which relationship best represents Squares, Rectangles, and Circles?

7 Which relationship best represents Cars, Vehicles, and Buses?

8 Which relationship best represents Students, Cricket players, and Singers?

9 Statements: All cats are animals. No animal is a plant. Which conclusion is possible?

10 Statements: All pens are stationery items. Some stationery items are expensive. Which conclusion is possible?

11 Statements: No doctor is a pilot. Some pilots are singers. Which conclusion is possible?

12 Statements: Some books are novels. All novels are interesting. Which conclusion is possible?

13 If the digits of the number 3524 are arranged in ascending order, which number is formed?

14 What is the difference between the largest and smallest digits in 5832?

15 How many even digits are present in the number 482731?

16 If is added to each digit of 135, what number is formed?

17 Ravi is 7th from the top in a class of 25 students. What is his rank from the bottom?

18 Mina is 12th from the left and 9th from the right in a row. How many people are in the row?

19 In a race, Amit finishes before Bina but after Charu. Who ranks first among the three?

20 Sara is 5th from the front in a queue. There are 8 people behind her. How many people are in the queue?

21 Consider the statements:

- All surgeons are doctors.
- Some doctors are musicians.
- No musician is a pilot.

Which conclusion follows?

I. Some surgeons are musicians.

II. No surgeon is a pilot.

22 Consider the statements:

- Some pens are pencils.
- All pencils are stationery items.
- No stationery item is edible.

Which conclusion follows?

I. Some pens are stationery items.

II. No pencil is edible.

23 Consider the statements:

- All rivers are water bodies.
- Some water bodies are polluted.
- No polluted thing is safe.

Which conclusion follows?

I. Some rivers are polluted.

II. Some water bodies are not safe.

24 Consider the statements:

- No architect is a dancer.
- Some dancers are singers.
- All singers are artists.

Which conclusion follows?

I. Some artists are dancers.

II. No architect is an artist.

25 Which diagrammatic relationship correctly represents Birds, Sparrows, and Reptiles?

26 Which diagrammatic relationship best represents Furniture, Chairs, and Wooden Objects?

27 Which Venn diagram description best represents Students, Athletes, and Musicians when a person may belong to any combination of these groups?

28 Which diagrammatic relationship correctly represents Integers, Even Integers, and Odd Integers?

29 Consider the statements:

- All roses are flowers.
- No flower is blue.
- Some gifts are blue.

Which statement can possibly be true?

30 Consider the statements:

- Some are .
- No is .
- All are .

Which statement can possibly be true?

31 Consider the statements:

- Some analysts are readers.
- All analysts are readers.
- No reader is a swimmer.

Which statement can possibly be true?

32 Consider the statements:

- No metal object is plastic.
- Some containers are plastic.
- All boxes are containers.

Which statement can possibly be true?

33 The digits of the number are arranged in ascending order. What is the absolute difference between the fourth digit from the left and the second digit from the right?

34 In the number , the first and second digits are interchanged, the third and fourth digits are interchanged, and so on. Which digit is fifth from the left in the resulting number?

35 How many digits in the number remain in the same position when its digits are arranged in ascending order?

36 All odd digits are removed from . The remaining digits are then arranged in descending order. What is the sum of the second digit from the left and the second digit from the right?

37 In a class of students, Riya ranks th from the top. What is her rank from the bottom?

38 Arun is th from the left and th from the right in a row. How many people are in the row?

39 Among six people, Deepa is taller than Gita. Gita is taller than Anu, Anu is taller than Bala, Bala is taller than Farhan, and Farhan is taller than Charan. What is Bala's rank from the tallest?

40 Asha is th from the top and Beena is th from the top in a class. They exchange positions, after which Asha becomes th from the bottom. How many students are in the class?

41 Statements:

1. All cryptographers are mathematicians.
2. Some mathematicians are linguists.
3. No linguist is a physicist.
4. All physicists are cryptographers.

Conclusions:

I. No physicist is a linguist.
II. Some mathematicians are not physicists.
III. Some cryptographers are not linguists.

Which conclusions necessarily follow?

42 Statements:

1. All are .
2. Some are .
3. No is .
4. All are .

Conclusions:

I. Some are not .
II. No is .
III. Some are .

Which conclusions necessarily follow?

43 Statements:

1. Only analysts are reviewers.
2. No reviewer is a skeptic.
3. Some analysts are skeptics.
4. Every skeptic is a methodologist.

Conclusions:

I. Some methodologists are not reviewers.
II. Some analysts are not reviewers.
III. No methodologist is a reviewer.

Which conclusions necessarily follow?

44 In a group of 125 people, sets , , and satisfy , , , , , , and . Exactly 10 people belong to none of the sets. How many people belong to exactly one of the three sets?

45 Which description correctly represents the relationship among integers, rational numbers, irrational numbers, and real numbers?

46 A survey establishes that all mothers are women, some mothers are teachers, some women are neither mothers nor teachers, and some teachers are not women. Which diagram description satisfies every condition?

47 All violinists are musicians. Some musicians are composers, some musicians are not composers, some composers are not musicians, and no violinist is a composer. Which diagram description is correct?

48 All surgeons are doctors, all doctors are graduates, some doctors are artists, no surgeon is an artist, and some artists are not graduates. Which diagram description represents these relations?

49 Statements:

1. All poets are dreamers.
2. No dreamer is an accountant.
3. Some accountants are cyclists.
4. All cyclists are readers.

Which conclusion is impossible, even if additional members are introduced?

50 Statements:

1. All are .
2. No is .
3. Some are .
4. No is .

Which conclusion can possibly be true?

51 Statements:

1. Some architects are dancers.
2. All dancers are singers.
3. No singer is a pilot.
4. All pilots are engineers.

Which additional statement can be introduced without creating a contradiction?

52 Statements:

1. All are .
2. Some are .
3. No is .
4. All are .

Which conclusion can possibly be true?

53 The six-digit number is divisible by . If the number is as large as possible, what is ?

54 The six-digit number is divisible by . What is the value of ?

55 In the number , the digits in odd-numbered positions are arranged in ascending order, while the digits in even-numbered positions are arranged in descending order. Positions are counted from the left. What number results?

56 How many four-digit positive integers have digits that are strictly increasing from left to right?

57 In a class, Arin is 18th from the top. Bela is 24th from the bottom, and exactly seven students are ranked between them. If Arin ranks above Bela, how many students are in the class?

58 Priya is 12th from the top, and Qadir is 19th from the bottom. After they exchange positions, Priya becomes 28th from the top. What are the total number of people and Qadir's new rank from the bottom?

59 In a race with no ties, Rhea finished ahead of exactly of the other participants and behind exactly 21 participants. How many participants were in the race?

60 A class initially has 52 students, and Arun is 18th from the top. Five students ranked above Arun leave the class. Then three students who were below Arun move to positions above him, and two new students join at positions above him. What are Arun's new ranks from the top and bottom?