Logical Deductions (Syllogism)
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Q. Six friends A, B, C, D, E and F work in different companies namely-Pentasoft, Quark, Raymond's Sunmet, Trump & Gates and Udupi, and each wears company sponsored different coloured shirts, viz. Blue, Green, Pink, Yellow, Purple and Red though not necessarily in the same order.
(i) The one wearing the Blue shirt works in Sunmet and the one wearing a Green shirt works in Pentasoft.
(ii) F does not work in Raymond's or Trump & Gates.
(iii) A wears Pink shirt and works in Quark.
(iv) D does not work in Trump & Gates and Purple coloured shirt is not sponsored by Raymond's.
(v) E works in Udupi and neither D nor B works in Sunmet
(vi) Trump & Gates does not sponsor Purple or Yellow coloured shirts and C works in Pentasoft.
What is the sequence of companies representing A, B, C, D, E & F?
(i) The one wearing the Blue shirt works in Sunmet and the one wearing a Green shirt works in Pentasoft.
(ii) F does not work in Raymond's or Trump & Gates.
(iii) A wears Pink shirt and works in Quark.
(iv) D does not work in Trump & Gates and Purple coloured shirt is not sponsored by Raymond's.
(v) E works in Udupi and neither D nor B works in Sunmet
(vi) Trump & Gates does not sponsor Purple or Yellow coloured shirts and C works in Pentasoft.
What is the sequence of companies representing A, B, C, D, E & F?
- Quark, Pentasoft, Trump & Gates, Raymond's Udupi, Sunmet
- Quark, Trump & Gates, Pentasoft, Raymond's Udupi, Sunmet
- Quark, Pentasoft, Trump & Gates, Sunmet, Udupi, Raymond's
- None of these
Q. A, B, C, D, E, F and G are travelling in three different vehicles. There are at least two passenger in each vehicle- Maruti, Santro, Opel and only one of them is a male. There are two engineers, two doctors and three teachers among them.
(i) C is lady doctor and she does not travel with the pair of sisters, A and F.
(ii) B, a male engineer, travels with only G, a teacher in Maruti
(iii) D is a male doctor
(iv) Two persons belonging to the same profession do not travel in the same vehicle.
(v) A is not an engineer and travels in Santro.
How many lady members are there among them?
(i) C is lady doctor and she does not travel with the pair of sisters, A and F.
(ii) B, a male engineer, travels with only G, a teacher in Maruti
(iii) D is a male doctor
(iv) Two persons belonging to the same profession do not travel in the same vehicle.
(v) A is not an engineer and travels in Santro.
How many lady members are there among them?
- Three
- Four
- Three or four
- Data inadequate
- Data inadequate
Q. Rajeev planted some plants in his lawn but in a certain fixed pattern:
(i) In most of the rows there are neither Rose nor Marigold.
(ii) There are two more row of Orchids than Tulips, and two more rows of Rose than Orchids.
(iii) There are four more rows of Rose than Tulips.
(iv) There aren't as many rows of Lilly as Fireball.
(v) There is one less Marigold row than Rose.
(vi) There is just one row of Tulips.
(vii) The maximum number of rows he planted is six.
How many rows of rose he planted?
(i) In most of the rows there are neither Rose nor Marigold.
(ii) There are two more row of Orchids than Tulips, and two more rows of Rose than Orchids.
(iii) There are four more rows of Rose than Tulips.
(iv) There aren't as many rows of Lilly as Fireball.
(v) There is one less Marigold row than Rose.
(vi) There is just one row of Tulips.
(vii) The maximum number of rows he planted is six.
How many rows of rose he planted?
- Two
- Five
- Four
- Cannot be determined
Q. Hari(H), Gita(G), Irfan(I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:
1. Hari's age + Gita's age > Irfan's age + Saira's age.
2. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.
3. There are no twins.
In what order were they born (oldest first)?
1. Hari's age + Gita's age > Irfan's age + Saira's age.
2. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.
3. There are no twins.
In what order were they born (oldest first)?
- HSIG
- SGHI
- IGSH
- IHSG
Q. Given below are two statements and two conclusions.
Statement 1 : All purple are green.
Statement 2 : All black are green.
Conclusion I : Some black are purple.
Conclusion II : No black is purple.
Based on the above statements and conclusions which one of the following options is logically CORRECT?
Statement 1 : All purple are green.
Statement 2 : All black are green.
Conclusion I : Some black are purple.
Conclusion II : No black is purple.
Based on the above statements and conclusions which one of the following options is logically CORRECT?
- Only conclusion II is correct.
- Only conclusion I is correct.
- Either conclusion I or II is correct.
- Both conclusion I and II are correct.
Q. 1. Some football players play cricket.
2. All cricket players play hockey.
Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is :
2. All cricket players play hockey.
Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is :
- All hockey players play football.
- Some football players play hockey.
- All football players play hockey.
- No football player plays hockey.
Q. The police arrested four criminals - P, Q, R and S. The criminals knew each other. They made the following statements:
P says " Q committed the crime."
Q says " S committed the crime."
R says " I did not do it."
S says " What Q said about me is false."
Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?
P says " Q committed the crime."
Q says " S committed the crime."
R says " I did not do it."
S says " What Q said about me is false."
Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?
- R
- P
- S
- Q
Q. Five courses - A, B, C, D and E each of one month duration are to be taught from January to May one after the other though not necessarily in the same order by lectures P, Q, R, S and T. P teaches course 'B' but not in the month of April or May. Q teaches course 'A' in the month of March. R teaches in the month of January but does not teach course 'C' or 'D'.
Which course is taught by S?
Which course is taught by S?
- C
- E
- Either C or D
- D
Q. Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.
Statements:
I. All film stars are playback singers.
II. All flim directors are film stars.
Conclusions:
I. All film directors are playback singers.
II. Some film stars are film directors.
Statements:
I. All film stars are playback singers.
II. All flim directors are film stars.
Conclusions:
I. All film directors are playback singers.
II. Some film stars are film directors.
- Only conclusion I follows
- Only conclusion I nor II follows.
- Neither conclusion I nor II follows.
- Both conclusions I and II follow.
Q. A, B, C, D, E, F and G are travelling in three different vehicles. There are at least two passenger in each vehicle- Maruti, Santro, Opel and only one of them is a male. There are two engineers, two doctors and three teachers among them.
(i) C is lady doctor and she does not travel with the pair of sisters, A and F.
(ii) B, a male engineer, travels with only G, a teacher in Maruti
(iii) D is a male doctor
(iv) Two persons belonging to the same profession do not travel in the same vehicle.
(v) A is not an engineer and travels in Santro.
What is F's profession?
(i) C is lady doctor and she does not travel with the pair of sisters, A and F.
(ii) B, a male engineer, travels with only G, a teacher in Maruti
(iii) D is a male doctor
(iv) Two persons belonging to the same profession do not travel in the same vehicle.
(v) A is not an engineer and travels in Santro.
What is F's profession?
- Engineer
- Doctor
- Teacher
- Data inadequate
Q. (i) Five friends, Amar, Kapil, Sarvesh, Rohan and Nagesh wear trousers of different colours-red, yellow, blue, white and green (not necessarily in the same order)
(ii) Each one of them has different likings, viz reading, playing travelling, singing and writing.
(iii) Kapil, who has liking for singing does not wear yellow trousers. Sarvesh wears red trouser and does not like reading or writing. Nagesh likes to play and does not wear blue or Yellow trousers. Amar has liking for writing and Rohan does not wear yellow or green trousers.
What is the colour of Kapil trousers?
(ii) Each one of them has different likings, viz reading, playing travelling, singing and writing.
(iii) Kapil, who has liking for singing does not wear yellow trousers. Sarvesh wears red trouser and does not like reading or writing. Nagesh likes to play and does not wear blue or Yellow trousers. Amar has liking for writing and Rohan does not wear yellow or green trousers.
What is the colour of Kapil trousers?
- White
- Blue
- Green
- Data inadequate
Q. Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows:
Statements:
I. No manager is a leader.
II. All leaders are executives
Conclusions:
I. No manager is an executive.
II. No executive is a manager.
Statements:
I. No manager is a leader.
II. All leaders are executives
Conclusions:
I. No manager is an executive.
II. No executive is a manager.
- Only conclusion I follows.
- Only conclusion II follows.
- Neither conclusion I nor II follows
- Both conclusions I and II follows.
Q. Some students were not involved in the strike. If the above statement is true. Which of the following conclusions is/are logically necessary?
1. Some who were involved in the strike were students
2. No student was involved in the strike
3. At least one student was involved in the strike
4. Some who were not involved in the strike were students
1. Some who were involved in the strike were students
2. No student was involved in the strike
3. At least one student was involved in the strike
4. Some who were not involved in the strike were students
- 1 and 2
- only 3
- only 4
- 2 and 3
Q. Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences ?
(i) At least one bench is a table
(ii) At least one shelf is a bench
(iii) At least one chair is a table
(iv) All benches are chairs
(i) At least one bench is a table
(ii) At least one shelf is a bench
(iii) At least one chair is a table
(iv) All benches are chairs
- Only (i)
- Only (ii)
- Only (ii) and (iii)
- Only (iv)
Q. Rajeev planted some plants in his lawn but in a certain fixed pattern:
(i) In most of the rows there are neither Rose nor Marigold.
(ii) There are two more row of Orchids than Tulips, and two more rows of Rose than Orchids.
(iii) There are four more rows of Rose than Tulips.
(iv) There aren't as many rows of Lilly as Fireball.
(v) There is one less Marigold row than Rose.
(vi) There is just one row of Tulips.
(vii) The maximum number of rows he planted is six.
What is the sum of the rows of Orchids and Marigold he planted?
(i) In most of the rows there are neither Rose nor Marigold.
(ii) There are two more row of Orchids than Tulips, and two more rows of Rose than Orchids.
(iii) There are four more rows of Rose than Tulips.
(iv) There aren't as many rows of Lilly as Fireball.
(v) There is one less Marigold row than Rose.
(vi) There is just one row of Tulips.
(vii) The maximum number of rows he planted is six.
What is the sum of the rows of Orchids and Marigold he planted?
- Three
- Nine
- Seven
- Cannot be determined
Q. Six friends A, B, C, D, E and F work in different companies namely-Pentasoft, Quark, Raymond's Sunmet, Trump & Gates and Udupi, and each wears company sponsored different coloured shirts, viz. Blue, Green, Pink, Yellow, Purple and Red though not necessarily in the same order.
(i) The one wearing the Blue shirt works in Sunmet and the one wearing a Green shirt works in Pentasoft.
(ii) F does not work in Raymond's or Trump & Gates.
(iii) A wears Pink shirt and works in Quark.
(iv) D does not work in Trump & Gates and Purple coloured shirt is not sponsored by Raymond's.
(v) E works in Udupi and neither D nor B works in Sunmet
(vi) Trump & Gates does not sponsor Purple or Yellow coloured shirts and C works in Pentasoft.
Which colour shirt is sponsored by Raymond's?
(i) The one wearing the Blue shirt works in Sunmet and the one wearing a Green shirt works in Pentasoft.
(ii) F does not work in Raymond's or Trump & Gates.
(iii) A wears Pink shirt and works in Quark.
(iv) D does not work in Trump & Gates and Purple coloured shirt is not sponsored by Raymond's.
(v) E works in Udupi and neither D nor B works in Sunmet
(vi) Trump & Gates does not sponsor Purple or Yellow coloured shirts and C works in Pentasoft.
Which colour shirt is sponsored by Raymond's?
- Yellow
- Blue
- Pink
- Cannot be determined
Q. (i) Five friends, Amar, Kapil, Sarvesh, Rohan and Nagesh wear trousers of different colours-red, yellow, blue, white and green (not necessarily in the same order)
(ii) Each one of them has different likings, viz reading, playing travelling, singing and writing.
(iii) Kapil, who has liking for singing does not wear yellow trousers. Sarvesh wears red trouser and does not like reading or writing. Nagesh likes to play and does not wear blue or Yellow trousers. Amar has liking for writing and Rohan does not wear yellow or green trousers.
What is the liking of Sarvesh?
(ii) Each one of them has different likings, viz reading, playing travelling, singing and writing.
(iii) Kapil, who has liking for singing does not wear yellow trousers. Sarvesh wears red trouser and does not like reading or writing. Nagesh likes to play and does not wear blue or Yellow trousers. Amar has liking for writing and Rohan does not wear yellow or green trousers.
What is the liking of Sarvesh?
- Writing
- Travelling
- Reading
- Data inadequate
Q. Consider the following gold articles P, Q, R, S and T with different weights:
- P weighs twice as much as Q
- Q weighs four and a half times as much as R
- R weighs half as much as S
- S weighs half as much as T
- T weighs less than P but more than R
- P and S
- P and R
- P and Q
- Q and R
Q. Consider the following sentences:
All benches are beds.
No bed is a bulb.
Some bulbs are lamps.
Which of the following can be inferred?
(i) Some beds are lamps.
(ii) Some lamps are beds.
All benches are beds.
No bed is a bulb.
Some bulbs are lamps.
Which of the following can be inferred?
(i) Some beds are lamps.
(ii) Some lamps are beds.
- Only (i)
- Only (ii)
- Both (i) and (ii)
- Neither (i) nor (ii)
Q. In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group. Which of the following statements is/are required to find the eldest child in the group?
Statements
Statements
- Shiv is younger to Riaz.
- Shiv is elder to Som.
- Statement 1 by itself determines the eldest child.
- Statement 2 by itself determines the eldest child.
- Statements 1 and 2 are both required to determine the eldest child.
- Statements 1 and 2 are not sufficient to determine the eldest child.
Q. Six friends A, B, C, D, E and F work in different companies namely-Pentasoft, Quark, Raymond's Sunmet, Trump & Gates and Udupi, and each wears company sponsored different coloured shirts, viz. Blue, Green, Pink, Yellow, Purple and Red though not necessarily in the same order.
(i) The one wearing the Blue shirt works in Sunmet and the one wearing a Green shirt works in Pentasoft.
(ii) F does not work in Raymond's or Trump & Gates.
(iii) A wears Pink shirt and works in Quark.
(iv) D does not work in Trump & Gates and Purple coloured shirt is not sponsored by Raymond's.
(v) E works in Udupi and neither D nor B works in Sunmet
(vi) Trump & Gates does not sponsor Purple or Yellow coloured shirts and C works in Pentasoft.
If Raymond's and Sunmet decide to interchange the colours of sponsored shirts, then which two persons had to interchange their shirt?
(i) The one wearing the Blue shirt works in Sunmet and the one wearing a Green shirt works in Pentasoft.
(ii) F does not work in Raymond's or Trump & Gates.
(iii) A wears Pink shirt and works in Quark.
(iv) D does not work in Trump & Gates and Purple coloured shirt is not sponsored by Raymond's.
(v) E works in Udupi and neither D nor B works in Sunmet
(vi) Trump & Gates does not sponsor Purple or Yellow coloured shirts and C works in Pentasoft.
If Raymond's and Sunmet decide to interchange the colours of sponsored shirts, then which two persons had to interchange their shirt?
- D & F
- A & C
- D & E
- B & D
Q. Six friends A, B, C, D, E and F work in different companies namely-Pentasoft, Quark, Raymond's Sunmet, Trump & Gates and Udupi, and each wears company sponsored different coloured shirts, viz. Blue, Green, Pink, Yellow, Purple and Red though not necessarily in the same order.
(i) The one wearing the Blue shirt works in Sunmet and the one wearing a Green shirt works in Pentasoft.
(ii) F does not work in Raymond's or Trump & Gates.
(iii) A wears Pink shirt and works in Quark.
(iv) D does not work in Trump & Gates and Purple coloured shirt is not sponsored by Raymond's.
(v) E works in Udupi and neither D nor B works in Sunmet
(vi) Trump & Gates does not sponsor Purple or Yellow coloured shirts and C works in Pentasoft.
Which of the following is true?
(i) The one wearing the Blue shirt works in Sunmet and the one wearing a Green shirt works in Pentasoft.
(ii) F does not work in Raymond's or Trump & Gates.
(iii) A wears Pink shirt and works in Quark.
(iv) D does not work in Trump & Gates and Purple coloured shirt is not sponsored by Raymond's.
(v) E works in Udupi and neither D nor B works in Sunmet
(vi) Trump & Gates does not sponsor Purple or Yellow coloured shirts and C works in Pentasoft.
Which of the following is true?
- Udupi sponsors Green Shirt
- D is working in Trump & Gates
- E wears Red Shirt
- Red shirt is sponsored by Trump & Gates
Q. Fact 1 : Humans are mammals.
Fact 2 : Some humans are engineers.
Fact 3 : Engineers build house.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
Fact 2 : Some humans are engineers.
Fact 3 : Engineers build house.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
- II only
- III only
- I, II and III
- I only
Q. Rajeev planted some plants in his lawn but in a certain fixed pattern:
(i) In most of the rows there are neither Rose nor Marigold.
(ii) There are two more row of Orchids than Tulips, and two more rows of Rose than Orchids.
(iii) There are four more rows of Rose than Tulips.
(iv) There aren't as many rows of Lilly as Fireball.
(v) There is one less Marigold row than Rose.
(vi) There is just one row of Tulips.
(vii) The maximum number of rows he planted is six.
Which of the above information is redundant and can be dispensed with?
(i) In most of the rows there are neither Rose nor Marigold.
(ii) There are two more row of Orchids than Tulips, and two more rows of Rose than Orchids.
(iii) There are four more rows of Rose than Tulips.
(iv) There aren't as many rows of Lilly as Fireball.
(v) There is one less Marigold row than Rose.
(vi) There is just one row of Tulips.
(vii) The maximum number of rows he planted is six.
Which of the above information is redundant and can be dispensed with?
- (i)
- (iii)
- (i) and (iii) both
- All are necessary
Q. Five courses - A, B, C, D and E each of one month duration are to be taught from January to May one after the other though not necessarily in the same order by lectures P, Q, R, S and T. P teaches course 'B' but not in the month of April or May. Q teaches course 'A' in the month of March. R teaches in the month of January but does not teach course 'C' or 'D'.
Which lecture's course immediately follows after course B?
Which lecture's course immediately follows after course B?
- Q
- P
- S
- T
Q. Given below are two statements I and II and two conclusions I and II:
Statement:
I. All bacteria are microorganisms.
II. All pathogens are microorganisms.
Conclusions:
I. Some pathogens are bacteria.
II. All pathogens are not bacteria.
Based on the above statements and conclusions, which one of the following options is logically CORRECT?
Statement:
I. All bacteria are microorganisms.
II. All pathogens are microorganisms.
Conclusions:
I. Some pathogens are bacteria.
II. All pathogens are not bacteria.
Based on the above statements and conclusions, which one of the following options is logically CORRECT?
- Only conclusion I is correct
- Either conclusion I or II is correct
- Only conclusion II is correct
- Neither conclusion I nor II is correct
Q. Base on the given statements select the most appropriate option to solve the given question. What will be the total weight of 10 poles each of same weight?
Statements:
(I) One fourth of the weight of a pole is 5 kg.
(II) The total weight of these poles is 160 kg more than the total weight of two poles.
Statements:
(I) One fourth of the weight of a pole is 5 kg.
(II) The total weight of these poles is 160 kg more than the total weight of two poles.
- Statement I alone is not sufficient
- Statement II alone is not sufficient
- Either I and II alone is sufficient
- Both statement I and II together are not sufficient
Q. Given below are two statements 1 and 2, and two conclusions I and II.
Statement 1: All entrepreneurs are wealthy.
Statement 2: All wealthy are risk seekers.
Conclusion I: All risk seekers are wealthy.
Conclusion II: Only some entrepreneurs are risk seekers.
Based on the above statements and conclusions, which one of the following options is CORRECT?
Statement 1: All entrepreneurs are wealthy.
Statement 2: All wealthy are risk seekers.
Conclusion I: All risk seekers are wealthy.
Conclusion II: Only some entrepreneurs are risk seekers.
Based on the above statements and conclusions, which one of the following options is CORRECT?
- Only conclusion I is correct
- Only conclusion II is correct
- Neither conclusion I nor II is correct
- Both conclusions I and II are correct
Q. The given question is followed by two statements; select the most appropriate option that solves the question.
Capacity of a solution tank A is 70% of the capacity of tank B. How many gallons of solution are in tank A and tank B?
Statements:
Capacity of a solution tank A is 70% of the capacity of tank B. How many gallons of solution are in tank A and tank B?
Statements:
- Tank A is 80% full and tank B is 40% full.
- Tank A if full contains 14, 000 gallons of solution
- Statement 1 alone is sufficient
- Statement II alone is sufficient
- Either statement 1 or 2 alone is sufficient.
- Both the statements 1 and 2 together are sufficient.
Q. Leela is older than her cousin Pavithra. Pavithra's brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statement must be TRUE based on the above?
- When Shiva plays chess with Leela and Pavithra, he often loses.
- Leela is the oldest of the three
- Shiva is a better chess player than Pavithra
- Pavithra is the youngest of the three