Deductive Reasoning

Logical Reasoning

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Qn #1878
Five houses lettered A, B, C, D and E are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have coloured roofs and chimneys. The roof and chimney of each house must be painted as follows:

The roof must be painted either green, red, or yellow.
The chimney must be painted either white, black, or red.
No house may have the same colour chimney as the colour of roof.
No house may use any of the same colours that the every next house uses.
House E has a green roof.
House B has a red roof and a black chimney.
Which possible combinations of roof & chimney can a house have?
i.A red roof & a black chimney.
ii.A yellow roof & a red chimney.
ii.A yellow roof & a black chimney.
Qn #1877
Five houses lettered A, B, C, D and E are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have coloured roofs and chimneys. The roof and chimney of each house must be painted as follows:

The roof must be painted either green, red, or yellow.
The chimney must be painted either white, black, or red.
No house may have the same colour chimney as the colour of roof.
No house may use any of the same colours that the every next house uses.
House E has a green roof.
House B has a red roof and a black chimney.
Which statement if false?
Qn #1876
Five houses lettered A, B, C, D and E are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have coloured roofs and chimneys. The roof and chimney of each house must be painted as follows:

The roof must be painted either green, red, or yellow.
The chimney must be painted either white, black, or red.
No house may have the same colour chimney as the colour of roof.
No house may use any of the same colours that the every next house uses.
House E has a green roof.
House B has a red roof and a black chimney.
Which of the following is true?
Qn #1875
Five houses lettered A, B, C, D and E are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have coloured roofs and chimneys. The roof and chimney of each house must be painted as follows:

The roof must be painted either green, red, or yellow.
The chimney must be painted either white, black, or red.
No house may have the same colour chimney as the colour of roof.
No house may use any of the same colours that the every next house uses.
House E has a green roof.
House B has a red roof and a black chimney.
If house C has a yellow roof, which one of the following is true?
Qn #1774
Assume that the following three statements are true:
I. All freshmen are human
II. All students are human
III. Some students think

Given the following four statements:
(1) All freshmen are students
(2) Some humans think
(3) No freshmen think
(4) Some humans who think are not students

Those which are logical consequences of I, II and III are:
Qn #1650
If only B is ON in the changed setting, which of the following could have been the original setting?
Qn #1639
If no P's are K's, which of the following must be true?
Qn #1473
Which of the following is necessarily true?
Qn #1472
If E is between B and C, then which of the following is false?
Qn #1470
Which of the following possibilities are true?
Qn #1459
Which of the following is definitely true?
Qn #1456
The nine alphabets L, M, N, O, P, Q, R, S, and T are assigned to nine integers 1 to 9 not necessarily in the same order 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3. 
What is the integer assigned to N?
Qn #1399
Which of the following is true about F?
Qn #1398
Which of the following is one of the married couples?
Qn #1397
Which of the following could be the colour combination of one of the couples?
Qn #1396
Which of the following is the colour preference of A?
Qn #1395
If the statements “All chickens are birds”, “Some chickens are hens” and “Female birds lay eggs”, are all facts, then which of the following must also be a fact?
I. All birds lay eggs 
II. Some hens are birds 
III. Some chickens are not hens
Qn #1383
Which of the following combination is definitely correct?
Qn #1376
Three ladies X, Y and Z marry three men A, B and C. X is married to A, Y is not married to an engineer. Z is not married to a doctor, C is not a doctor and A is a lawyer. Then which of the following statements is correct?
Qn #1295
Four passengers in a train find that they form an interesting group. Two of them are lawyers and the other two are doctors. Two of them speak Bengali and the other two speak Hindi and no two of the same profession speak the same language. They also found that two of them are Christians and two are Muslims and no two of the same religion speak the same languages. The Hindi speaking doctor is a Christian. Then which of the following statement logically follows?
Qn #1143
John, Johny and Janardan participated in a race and each won a different medal among Gold, Silver and Bronze, not necessarily in that order. Each person among them gives two replies to any question, one of which is true and the other is false (in any order). When asked about the details of the medals obtained by them, the following were their replies:
John: I won the Gold medal.Johny won the Bronze medal.
Johny: John won the Silver medal.I won the Gold medal.
Janardan: Johny won the Silver medal.I won the Gold medal.

Which among the following is the correct order of the persons who won the Gold medal, the Silver medal and the Bronze medal respectively?
Qn #1137
There are eight poets, namely, A, B, C, D, E, F, G and H in respect of whom questions are being asked in the examination. The first four are ancient poets and the last four are modern poets. The question on ancient and modern poets is being asked in alternate years. Those who like W also like V, those who like S like R also. The examiner who sets question is not likely to ask question on S because he has written an article on him. But he likes S. Last year a question was asked on U. Considering these facts, on whom the question is most likely to be asked this year ?
Qn #952
Read the information given below and answer the questions that follows 
i. A * B means -> A and B are of the same age 
ii. A – B means -> B is younger than A 
iii. A + B means -> A is younger than B 

X + Y + Z is same as ________?
Qn #951
Read the information given below and answer the questions that follow: 
i. A * B means -> A and B are of the same age 
ii. A – B means -> B is younger than A 
iii. A + B means -> A is younger than B 

Sachin * Madan – Reena means?
Qn #946
If there are no dancers that aren’t slim and no singers that aren’t dancers, then which statements are always true? 
Choose the correct answer
Qn #580
Directions: A, B, C, D, E, F and G are travelling in three different vehicles. There are at least two passengers in each vehicle-Swift, Creta, Nexon, and only one of them is a male. There are two engineers, two doctors and three teachers among them. 
  1. C is a lady doctor and she does not travel with the pair of sisters A and F.
  2. B, a male engineer, travels with only G, a teacher in a Swift. 
  3. D is a male doctor.
  4. Two persons belonging to the same profession do not travel in the same vehicle.
  5. A is not an engineer and travels in a Creta. 
  6. The pair of sisters A and F travel in the same vehicle
What is F’s profession?
Qn #562
This question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are most logically related. 
 A. All falcons fly high. 
 B. All falcons are blind. 
 C. All falcons are birds. 
 D. All birds are yellow. 
 E. All birds are thirsty. 
 F. All falcons are yellow.
Qn #560
  • Four friends, Aditi, Bharat, Chandan, and Deepika, went to a restaurant for dinner. Each of them ordered a different dish from the menu: pizza, pasta, burger, and salad. Additionally, each friend ordered a different drink: cola, lemonade, orange juice, and water. Based on the following clues, determine the combination of friend, dish, and drink:
  • Aditi didn't order pizza or cola.
  • Bharat ordered salad but not lemonade.
  • Chandan ordered pasta.
  • Deepika didn't order burger or orange juice.
  • Aditi ordered orange juice.
Who ordered the burger, and what drink did they order?
Qn #546
You are on an island with two tribes. One tribe always tells the truth, and the other tribe always lies. You meet three individuals from the island A, B and C. Each individual belongs to one of the tribes. You ask each of them the same question “Is B a truthteller?” “Is B a truthteller?” 
 A says, “Yes B is a truth-teller.” 
 B says, “No, I am not a truth-teller” 
 C. Says, “B is a liar” 

 Given that each individual is either a truth-teller or a liar, who is telling the truth?
Qn #534
The question contains six statements followed by four sets of combinations of three. 
Choose the set in which the combinations are most logically related. 
 A. Some buildings are not sky scrapers. 
 B. Some sky scrapers are not buildings. 
 C. No structure is a skyscraper. 
 D. All skyscrapers are structures. 
 E. Some skyscrapers are buildings 
 F. Some structures are not buildings.
Qn #523
Rajesh will not go to the concert if Rakesh goes. Rakesh will go to the concert if his dog barks three times. 
Based only on the information above, which of the following must be true?
Qn #521
A research team is studying the effects of three different fertilizers (X, Y, and Z) on the growth of a specific plant species. They have four experimental plots with different fertilizer combinations:
  • Plot 1: Fertilizer X only
  • Plot 2: Fertilizer Y only
  • Plot 3: Fertilizer X and Fertilizer Z only
  • Plot 4: Fertilizer Y and Fertilizer Z only
After a period of observation, they note the following:
  • Plants in plots with Fertilizer X showed significantly increased height compared to a control group (no fertilizer).
  • Plants in plots with Fertilizer Y showed a slightly increased leaf area compared to the control group.
  • Plants in Plot 3 (X and Z) showed no significant difference in height compared to the control group.
  • Plants in Plot 4 (Y and Z) showed significantly increased height compared to the control group.
Based on these observations, which of the following conclusions is best supported?
Qn #505
A, B, C, D, E, F and G are travelling in three different vehicles: Swift, Creta, and Nexon. There are at least two passengers in each vehicle. Among them, only two are male. There are two engineers, two doctors and three teachers.
  1. C is a lady doctor and she does not travel with A and F, who are sisters.
  2. B, a male engineer, travels with only G, a teacher, in a Swift.
  3. D is a male doctor.
  4. Two persons belonging to the same profession do not travel in the same vehicle.
  5. A is not an engineer and travels in a Creta.
  6. The pair of sisters A and F travels in the same vehicle
What is the profession of F?
Qn #504
Consider the following arguments
"In order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor". Which one of the following is not a valid conclusion regarding the above
argument?

Note: In NIMCET 2025 Original Exam given line was missing.
"Which one of the following is not a valid conclusion regarding the above argument?"
Qn #500
A remote island has a unique social structure. Individuals are either 'Truth-tellers' (who always speak the truth) or 'Tricksters' (who always lie). You encounter three inhabitants: X, Y, and Z.

X says: "Y is a Trickster."
Y says: "Exactly one of us is a Truth-teller."
What can you definitively conclude about Z?
Qn #225
Sally, Cheryl, Laura, Tom and Sandy travel extensively on business. Four of them have visas for China. All apart from Cheryl and Tom, have visas for Russia. Cheryl only has visa for Pakistan, although only Sally and Sandy do not have visa for Pakistan. Who only has visa for China and Pakistan?
Qn #175

In the question below, some statements followed by some conclusions are given. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts: 

Statements: 

  • All birds are tall.
  • Some talls are hens.

Conclusions: 

I. Some birds are definitely not hens. 

II. Atleast some hens are tall.

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