1In a logical Venn diagram, which shape is commonly used to represent a group or category?
Logical Venn diagrams
Easy
A.A square
B.A triangle
C.A circle
D.A rectangle
Correct Answer: A circle
Explanation:
A circle is commonly used to represent a group or category in a logical Venn diagram.
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2If all roses are flowers, which set should be placed inside the other in a Venn diagram?
Logical Venn diagrams
Easy
A.The flower set inside the rose set
B.Both sets outside each other
C.Both sets completely overlapping
D.The rose set inside the flower set
Correct Answer: The rose set inside the flower set
Explanation:
Since every rose is a flower, the set of roses is a subset of the set of flowers.
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3Which Venn diagram relationship represents two groups having no common members?
Logical Venn diagrams
Easy
A.Separate circles
B.Intersecting circles
C.Overlapping rectangles
D.One circle inside another
Correct Answer: Separate circles
Explanation:
Separate circles show that the two groups are disjoint and have no common members.
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4If some students are athletes, what should the Venn diagram show?
Logical Venn diagrams
Easy
A.Three equal circles
B.One circle inside another
C.Two overlapping circles
D.Two separate circles
Correct Answer: Two overlapping circles
Explanation:
The overlap represents students who are also athletes.
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5What does a possibility-based conclusion indicate?
Possibility based problems
Easy
A.The conclusion cannot be true
B.The conclusion may be true
C.The conclusion is always false
D.The conclusion must be true
Correct Answer: The conclusion may be true
Explanation:
A possibility-based conclusion states that a situation can be true without being certain.
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6Statements: All pens are blue. Some blue objects are boxes. Which conclusion is possible?
Possibility based problems
Easy
A.No pen is blue
B.Some pens are boxes
C.No blue object is a pen
D.All boxes are pens
Correct Answer: Some pens are boxes
Explanation:
The statements do not rule out some pens being boxes, so this relationship is possible.
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7If all doctors are educated, which statement is possible?
Possibility based problems
Easy
A.Some doctors are uneducated
B.All educated people are doctors
C.No doctor is educated
D.Some educated people are doctors
Correct Answer: Some educated people are doctors
Explanation:
Doctors are included in the educated group, so some educated people can be doctors.
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8Statements: Some books are novels. All novels are stories. What is possible?
Possibility based problems
Easy
A.No novel is a story
B.Some books are stories
C.No book is a story
D.All stories are books
Correct Answer: Some books are stories
Explanation:
The books that are novels must also be stories, making this conclusion possible and valid.
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9Statements: All cats are animals. All animals need food. How many groups are linked in this chain?
Number test
Easy
A.Three groups
B.One group
C.Four groups
D.Two groups
Correct Answer: Three groups
Explanation:
The three groups are cats, animals, and things that need food.
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10If 5 students are standing in a line, how many students are at the two ends?
Number test
Easy
A.Two
B.Three
C.One
D.Five
Correct Answer: Two
Explanation:
A line has one person at each end, so there are students at the ends.
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11Statements: Some pens are red. Some red objects are bags. What is the minimum number of groups mentioned?
Number test
Easy
A.Four
B.Three
C.Two
D.One
Correct Answer: Three
Explanation:
The groups mentioned are pens, red objects, and bags.
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12If every member of Group A belongs to Group B, which group is larger or equal in size?
Number test
Easy
A.Both must be equal
B.Neither group
C.Group B
D.Group A
Correct Answer: Group B
Explanation:
When all members of Group A are in Group B, Group B contains at least as many members as Group A.
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13Ravi is taller than Amit, and Amit is taller than Sohan. Who is the shortest?
Ranking test
Easy
A.Ravi
B.Cannot be determined
C.Amit
D.Sohan
Correct Answer: Sohan
Explanation:
The order from tallest to shortest is Ravi, Amit, and Sohan.
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14In a class of 10 students, Maya ranks third from the top. What is her rank from the bottom?
Ranking test
Easy
A.Sixth
B.Eighth
C.Ninth
D.Seventh
Correct Answer: Eighth
Explanation:
Rank from the bottom is , so Maya is eighth from the bottom.
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15If Neha is older than Priya but younger than Kavita, who is the oldest?
Ranking test
Easy
A.Kavita
B.Priya
C.Cannot be determined
D.Neha
Correct Answer: Kavita
Explanation:
The age order is Kavita, Neha, and Priya from oldest to youngest.
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16A student is ranked fifth from the top and sixth from the bottom. How many students are in the group?
Ranking test
Easy
A.Eleven
B.Ten
C.Twelve
D.Nine
Correct Answer: Ten
Explanation:
Total students are .
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17Which day comes immediately after Monday?
Time sequence test
Easy
A.Sunday
B.Tuesday
C.Wednesday
D.Thursday
Correct Answer: Tuesday
Explanation:
Tuesday is the day immediately after Monday.
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18Which month comes immediately before April?
Time sequence test
Easy
A.February
B.June
C.March
D.May
Correct Answer: March
Explanation:
March comes immediately before April in the calendar.
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19If an examination is held on Friday, which day is two days later?
Time sequence test
Easy
A.Sunday
B.Monday
C.Tuesday
D.Saturday
Correct Answer: Sunday
Explanation:
One day after Friday is Saturday, and two days after Friday is Sunday.
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20Arrange these events in the usual order: wake up, have breakfast, go to school.
Time sequence test
Easy
A.Have breakfast, go to school, wake up
B.Wake up, go to school, have breakfast
C.Go to school, wake up, have breakfast
D.Wake up, have breakfast, go to school
Correct Answer: Wake up, have breakfast, go to school
Explanation:
The usual sequence is waking up, having breakfast, and then going to school.
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21Statements: All poets are writers. Some writers are teachers. Which conclusion follows with certainty?
Logical Venn diagrams
Medium
A.No poets are teachers
B.No definite relation exists between poets and teachers
C.All teachers are poets
D.Some poets are teachers
Correct Answer: No definite relation exists between poets and teachers
Explanation:
The writers who are teachers may or may not be poets. Therefore, no definite relation between poets and teachers can be established.
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22Statements: No doctors are musicians. All surgeons are doctors. Some surgeons are researchers. Which conclusion follows?
Logical Venn diagrams
Medium
A.Some musicians are surgeons
B.No researchers are doctors
C.Some researchers are not musicians
D.All researchers are surgeons
Correct Answer: Some researchers are not musicians
Explanation:
Some surgeons are researchers, and all surgeons are doctors. Since no doctors are musicians, those researchers cannot be musicians.
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23Statements: Some engineers are artists. All artists are readers. No readers are careless. Which conclusion is valid?
Logical Venn diagrams
Medium
A.No engineers are artists
B.Some careless people are artists
C.Some engineers are not careless
D.All engineers are readers
Correct Answer: Some engineers are not careless
Explanation:
The engineers who are artists are also readers. Since no readers are careless, those engineers are not careless.
Incorrect! Try again.
24Statements: All X are Y. No Y is Z. Which statement is impossible?
Logical Venn diagrams
Medium
A.Some X are Z
B.Some Y are not Z
C.Some X are not Z
D.Some Z are not Y
Correct Answer: Some X are Z
Explanation:
Since every X belongs to Y and no Y belongs to Z, an X cannot belong to Z.
Incorrect! Try again.
25Statements: All cats are mammals. Some mammals are pets. Which conclusion is possible?
Possibility based problems
Medium
A.No cats are mammals
B.Some cats are pets
C.No mammals are pets
D.All pets are cats
Correct Answer: Some cats are pets
Explanation:
The statements do not prevent some cats from being among the mammals that are pets, so this conclusion is possible.
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26Statements: All pilots are trained. Some trained people are athletes. Which conclusion is possible?
Possibility based problems
Medium
A.No pilots are trained
B.All athletes are pilots
C.Some pilots are athletes
D.No trained person is an athlete
Correct Answer: Some pilots are athletes
Explanation:
The statements allow an overlap between pilots and athletes within the group of trained people. Therefore, some pilots being athletes is possible.
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27Statements: No roses are blue. Some flowers are roses. Which conclusion is possible?
Possibility based problems
Medium
A.Some flowers are not blue
B.No flowers are roses
C.Some roses are blue
D.All blue objects are roses
Correct Answer: Some flowers are not blue
Explanation:
The flowers that are roses cannot be blue. Hence, some flowers are not blue.
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28Statements: All dancers are fit. No fit person is inactive. Which conclusion is possible?
Possibility based problems
Medium
A.Some dancers are inactive
B.No dancers are fit
C.All inactive people are dancers
D.Some dancers are active
Correct Answer: Some dancers are active
Explanation:
Dancers are fit, and fit people are not inactive. Thus, dancers can be active, making this conclusion possible.
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29In a group of 60 students, 35 study Mathematics, 28 study Science, and 15 study both subjects. How many study neither subject?
Number test
Medium
A.15
B.12
C.14
D.10
Correct Answer: 12
Explanation:
Students studying at least one subject are . Therefore, students studying neither are .
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30In a class of 50 students, 30 like tea and 25 like coffee. What is the maximum possible number of students who like neither tea nor coffee?
Number test
Medium
A.20
B.15
C.25
D.30
Correct Answer: 20
Explanation:
To maximize those who like neither, maximize the overlap between tea and coffee. The overlap can be 25, so the union is 30 and neither is .
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31In a survey of 80 people, 45 use service A, 38 use service B, and 20 use both. How many use exactly one of the two services?
Number test
Medium
A.42
B.40
C.43
D.45
Correct Answer: 43
Explanation:
Only A users are , and only B users are . Thus, exactly one service is used by people.
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32Among 100 applicants, 60 passed Test A, 50 passed Test B, and 30 passed both. How many passed at least one test?
Number test
Medium
A.80
B.75
C.90
D.70
Correct Answer: 80
Explanation:
The number passing at least one test is .
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33Riya ranks 14th from the top and 18th from the bottom in a class. How many students are in the class?
Ranking test
Medium
A.32
B.30
C.31
D.33
Correct Answer: 31
Explanation:
Total students are , because Riya is counted in both ranks.
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34In a class of 40 students, P is 13th from the top and Q is 17th from the bottom. How many students are between P and Q?
Ranking test
Medium
A.11
B.12
C.9
D.10
Correct Answer: 10
Explanation:
Q is th from the top. Students between them are .
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35In a row of 26 people, R is 8th from the left and S is 15th from the right. How many people stand between R and S?
Ranking test
Medium
A.6
B.5
C.3
D.4
Correct Answer: 3
Explanation:
S is th from the left. Therefore, the number between them is .
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36Anita is 9th from the top and 16th from the bottom in a ranking list. How many people are ranked above her and below her together?
Ranking test
Medium
A.22
B.25
C.23
D.24
Correct Answer: 23
Explanation:
There are 8 people above Anita and 15 below her. Together, they total .
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37A seminar is held on a day after Tuesday but before Friday. It is not on Thursday. On which day is it held?
Time sequence test
Medium
A.Friday
B.Thursday
C.Monday
D.Wednesday
Correct Answer: Wednesday
Explanation:
The day after Tuesday and before Friday can be Wednesday or Thursday. Since it is not Thursday, the seminar is on Wednesday.
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38Four exams are scheduled from Monday to Thursday, one each day. Mathematics is before English, Science is after English, and History is on Thursday. Which subject is scheduled on Monday?
Time sequence test
Medium
A.History
B.Mathematics
C.Science
D.English
Correct Answer: Mathematics
Explanation:
History is Thursday, and Science must follow English. Therefore, Mathematics must come before English and is scheduled on Monday.
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39Five tasks P, Q, R, S, and T are completed one at a time. P is before R, Q is after S, and T is before P. Which task could be completed third?
Time sequence test
Medium
A.P
B.R
C.Q
D.T
Correct Answer: P
Explanation:
An order such as T, S, P, R, Q satisfies all conditions, so P can be third.
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40A competition has five rounds: P, Q, R, S, and T. P is held before Q, R is held immediately after S, and T is held after Q. Which round must be held first?
Time sequence test
Medium
A.Q
B.R
C.T
D.P
Correct Answer: P
Explanation:
P must precede Q, and Q must precede T. R follows S, so neither R nor T can be first. Therefore, P must be first.
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41Consider the statements: All poets are dreamers. Some dreamers are scientists. No scientist is a pessimist. Which conclusions necessarily follow?
Logical Venn diagrams
Hard
A.Only some dreamers are not pessimists
B.Some dreamers are not pessimists and some scientists are dreamers
C.Some poets are scientists and some dreamers are not pessimists
D.Only some poets are not pessimists
Correct Answer: Some dreamers are not pessimists and some scientists are dreamers
Explanation:
The statement "Some dreamers are scientists" directly establishes some scientists as dreamers. Since no scientist is a pessimist, those dreamers are not pessimists. No existence of poets is guaranteed.
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42All architects are designers. Some architects are historians. All historians are researchers. No researcher is careless. Which conclusion necessarily follows?
Logical Venn diagrams
Hard
A.All researchers are designers
B.Some careless people are architects
C.All designers are researchers
D.Some designers are not careless
Correct Answer: Some designers are not careless
Explanation:
The architect who is a historian is also a researcher and a designer. Since no researcher is careless, that architect is a designer who is not careless.
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43All analysts are mathematicians. No mathematician is an athlete. Some athletes are musicians. Some analysts are researchers. Which conclusion is definitely true?
Logical Venn diagrams
Hard
A.No musician is an analyst
B.Some musicians are mathematicians
C.Some researchers are not athletes
D.All researchers are analysts
Correct Answer: Some researchers are not athletes
Explanation:
The existence of some analysts who are researchers is given. Every analyst is a mathematician, and no mathematician is an athlete; therefore, those researchers are not athletes.
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44No engineers are poets. Some poets are writers. All writers are editors. Some engineers are editors. Which conclusion necessarily follows?
Logical Venn diagrams
Hard
A.Some editors are not engineers
B.All editors are writers
C.No writer is an engineer
D.Some engineers are poets
Correct Answer: Some editors are not engineers
Explanation:
Some poets are writers and therefore editors. Since no engineer is a poet, those poet-writers are editors who are not engineers.
Incorrect! Try again.
45All coders are analysts. No analyst is impulsive. Some coders are mentors. Which of the following is impossible?
Possibility based problems
Hard
A.Some coders are impulsive
B.Some analysts are not impulsive
C.Some mentors are not impulsive
D.Some mentors are not analysts
Correct Answer: Some coders are impulsive
Explanation:
Every coder is an analyst, and no analyst is impulsive. Therefore, a coder cannot be impulsive.
Incorrect! Try again.
46All medals are awards. All medals are metallic. Some awards are certificates. No certificate is metallic. Which arrangement is possible?
Possibility based problems
Hard
A.Some awards are not medals
B.All certificates are medals
C.Some nonmetallic objects are medals
D.Some medals are certificates
Correct Answer: Some awards are not medals
Explanation:
The certificate witness is an award but cannot be metallic. Since every medal is metallic, that certificate cannot be a medal. Thus, some awards are not medals.
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47Some researchers are musicians. All musicians are readers. No reader is careless. Which statement can be true without contradicting the premises?
Possibility based problems
Hard
A.Some researchers are careless
B.Some researchers are readers
C.Some musicians are not readers
D.No researcher is a musician
Correct Answer: Some researchers are readers
Explanation:
The researchers who are musicians must also be readers. The other statements contradict either a direct premise or a necessary implication.
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48All pilots are trained. Some trained people are supervisors. No supervisor is inexperienced. Which statement is possible but not forced by the premises?
Possibility based problems
Hard
A.Some pilots are inexperienced
B.Some pilots are supervisors
C.All supervisors are pilots
D.Some trained people are not supervisors
Correct Answer: Some trained people are not supervisors
Explanation:
The premises do not require every trained person to be a supervisor, so additional trained non-supervisors are possible. Pilots may or may not be supervisors, while inexperienced supervisors are impossible.
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49Statements: All A are B. Some B are C. No C is D. Some A are D. How many of the following conclusions necessarily follow? I. Some A are B. II. Some B are not C. III. Some C are not A. IV. No A is C.
Number test
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
I follows because some A exist and all A are B. II follows from the A-D witness, since no C is D. III and IV are not forced.
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50Statements: No P is Q. Some P are R. All R are S. Some Q are S. How many conclusions follow? I. Some S are not Q. II. Some S are not P. III. Some R are Q. IV. No S is Q.
Number test
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The P-R witness is also S and cannot be Q, proving I. The Q-S witness cannot be P, proving II. III and IV do not follow.
Incorrect! Try again.
51Statements: All L are M. No M is N. Some N are O. Some L are P. How many conclusions necessarily follow? I. Some L are not N. II. Some P are M. III. Some N are not M. IV. Some O are not L.
Number test
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The L-P witness is M and not N, proving I and II. The N-O witness is not M and cannot be L because all L are M, proving III and IV.
Incorrect! Try again.
52Statements: Some A are B. All B are C. No C is D. Some D are E. How many conclusions necessarily follow? I. Some A are C. II. Some A are not D. III. Some D are not B. IV. Some E are not C.
Number test
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The A-B witness is also C and therefore not D, proving I and II. The D-E witness is not C and hence not B, proving III and IV.
Incorrect! Try again.
53In a class of students, Anika ranks th from the top and Bhavesh ranks th from the bottom. Chitra ranks exactly midway between them. Dev is positions below Chitra. What is Dev's rank from the bottom?
Ranking test
Hard
A.th
B.th
C.th
D.th
Correct Answer: th
Explanation:
Bhavesh is th from the top. Chitra is midway between ranks and , so she is th. Dev is th from the top, which is th from the bottom.
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54In a group of students, Chetan ranks th from the bottom. Aditi ranks places above Chetan, Bhavna ranks places below Aditi, and Deepak ranks places below Bhavna. What is Deepak's rank from the bottom?
Ranking test
Hard
A.th
B.th
C.th
D.th
Correct Answer: th
Explanation:
Chetan is th from the top. Aditi is th, Bhavna is th, and Deepak is th from the top. Therefore, Deepak is th from the bottom.
Incorrect! Try again.
55In a queue of people, Jaya is th from the front. Kiran is places behind Jaya, Leena is places ahead of Kiran, Meera is places behind Leena, and Nisha is places ahead of Meera. What is Nisha's position from the front?
Ranking test
Hard
A.th
B.th
C.th
D.th
Correct Answer: th
Explanation:
The positions are Jaya , Kiran , Leena , Meera , and Nisha from the front.
Incorrect! Try again.
56In a row, Rohan is th from the left and th from the right. Sonia is places to the right of Rohan, while Tanu is places to the left of Rohan. How many people are between Sonia and Tanu?
Ranking test
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Sonia is in position and Tanu in position . The number of people between them is .
Incorrect! Try again.
57Six presentations occur in a single day in the order determined by these conditions: U occurs before P; P occurs before R; R occurs before T; Q occurs before S; T occurs before S. Which sequence is feasible?
Time sequence test
Hard
A.U, P, R, Q, T, S
B.U, R, P, Q, T, S
C.P, U, Q, S, R, T
D.P, Q, S, U, R, T
Correct Answer: U, P, R, Q, T, S
Explanation:
This sequence satisfies and also . Each of the other sequences violates at least one stated precedence condition.
Incorrect! Try again.
58Seven tasks are scheduled from Monday through Sunday, one task per day. Training occurs two days before Audit, Review occurs one day after Audit, Review occurs before Friday's Launch, and Planning occurs immediately before Training. On which day is Planning scheduled?
Time sequence test
Hard
A.Thursday
B.Monday
C.Tuesday
D.Wednesday
Correct Answer: Monday
Explanation:
Audit and Review must occur before Friday, and Training is two days before Audit. The only fit is Training on Tuesday, Audit on Thursday, and Review on Friday would conflict with Launch, so the intended nonconflicting placement is Training on Wednesday, Audit on Friday, which also conflicts. Therefore, the only valid arrangement places Planning on Monday, Training on Tuesday, Audit on Wednesday, and Review on Thursday, with Launch on Friday.
Incorrect! Try again.
59Six milestones occur on distinct dates in a month. Riya's milestone is on the th. K is days after Riya, N is days after K, P is days after N, Q is days after P, and S is day after Q. On which date does P occur?
Time sequence test
Hard
A.The th
B.The th
C.The th
D.The th
Correct Answer: The th
Explanation:
K occurs on the th, N on the th, and P three days later on the th.
Incorrect! Try again.
60Five examinations are held from Monday to Friday, one each day. Mathematics is before Physics, Physics is immediately before Chemistry, Biology is after Chemistry, and English is before Mathematics. Which examination must be held on Wednesday?
Time sequence test
Hard
A.Physics
B.Chemistry
C.Mathematics
D.English
Correct Answer: Physics
Explanation:
The required order is English, Mathematics, Physics, Chemistry, Biology. Since all five examinations occupy consecutive weekdays, Physics must be on Wednesday.
Incorrect! Try again.
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