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Statement - Conclusions Questions and Answers

Important Instructions
21.

The country of Zombieland is in distress since more than 75% of its working population is suffering from serious health issues. Studies conducted by competent health experts concluded that a complete lack of physical exercise among its working population was one of the leading causes of their health issues. As one of the measures to address the problem, the Government of Zombieland has decided to provide monetary incentives to those who ride bicycles to work.

Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

Exam Year(s)

GATE CS - 2023,

Answer: D

The certain inference is that the Government of Zombieland believes that riding bicycles is a form of physical exercise.

The experts named a lack of physical exercise as a leading cause of the health problems, and the government's response to that finding is to pay people to cycle to work. That measure only makes sense if the government regards cycling as exercise, so this belief is the assumption the passage rests on.

The other options go beyond the text. An incentive does not mean everyone 'will henceforth' cycle. Lack of exercise was only one of the leading causes, so cycling cannot 'ensure' everyone is free of health issues. And nothing says the experts suggested making cycling mandatory; the government chose incentives, not compulsion.

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22.

Tanya is older than Eric.
Cliff is older than Tanya.
Eric is older than Cliff.

If the first two statements are true, then the third statement is:

Exam Year(s)

GATE Mathematics - 2015,

Answer: B

The third statement is False.

From the first two statements: Cliff is older than Tanya, and Tanya is older than Eric. So Cliff is older than Eric, and the order by age is Cliff, Tanya, Eric.

The third statement, 'Eric is older than Cliff', says the opposite, so it must be false. It is not uncertain, and the data are not insufficient, because the first two statements fix the order completely.

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23.

Two very famous sportsmen Mark and Steve happened to be brothers, and played for country K. Mark teased James, an opponent from country E, "There is no way you are good enough to play for your country." James replied, "Maybe not, but at least I am the best player in my own family."

Which one of the following can be inferred from this conversation?

Exam Year(s)

GATE ME - 2017,

Answer: B

The inference is that Steve was known to play better than Mark.

James concedes he may not be good enough for his country but claims to be the best player in his own family. The jibe only works as a retort if Mark is not the best player in his own family, and Mark's family includes his famous brother Steve. So James is implying that Steve is the better player.

Nothing compares James with Mark or Steve directly, so "Mark played better than James" and "James played better than Steve" do not follow, and nothing at all suggests James and Steve were friends.

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24.

Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed.

Which one of the following is the best inference from the above advertisement?

Exam Year(s)

GATE ME - 2012,

Answer: D

The best inference is that the advertisement is not gender-discriminatory.

It asks for 'persons', and its only requirements are a high school pass and availability for day, evening and Saturday work. Nothing in it excludes or prefers either sex.

For the same reason 'gender-discriminatory' is unsupported. 'Xenophobic' would need some bar on foreigners or outsiders, and there is none. 'Not designed to make the post attractive' is contradicted by the advertisement itself, which offers paid transport and reimbursed expenses.

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Direction for [ Question No: 25 To 29 ] :

The logic problems in this set present you with three true statements: Fact 1, Fact 2 and Fact 3. Then you are given three more statements (labelled I, II and III), and you must determine which of these, if any, is also a fact. One or two of the statements could be true; all of the statements could be true; or none of the statements could be true.

25.

Fact 1 : Jessica has four children.
Fact 2 : Two of the children have blue eyes and two of the children have brown eyes.
Fact 3 : Half of the children are girls.

If the first three statements are facts, which of the following statement/(s) must also be a fact ?

I. At least one girl has blue eyes.
II. Two of the children are boys.
III. The boys have brown eyes.

Choose the correct answer from the options given below :

Exam Year(s)

KPSC KAS - 2020,

Answer: A

Only statement II must be a fact, so the answer is Only II.

Half of four children are girls, so two are girls and two are boys. Statement II therefore follows from Fact 1 and Fact 3.

Statement I is not forced: both blue-eyed children could be boys. Statement III is not forced either, since the boys could be the blue-eyed pair. So only II holds, and options containing I or III are wrong.

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26.

Fact 1 : All hats have brims.
Fact 2 : There are black hats and blue hats.
Fact 3 : Baseball caps are hats.

If the first three statements are facts, which of the following statement/(s) must also be a fact ?

I. All caps have brims.
II. Some baseball caps are blue.
III. Baseball caps have no brims.

Choose the correct answer from the options given below :

Exam Year(s)

KPSC KAS - 2020,

Answer: D

None of the statements is a known fact, so the answer is None of the statements is a known fact.

Statement I speaks of all caps, but the facts only say that baseball caps are hats, so we do not know that every cap is a hat and has a brim. Statement II is not given: the facts name black hats and blue hats but do not say that any baseball cap is blue. Statement III contradicts Fact 1 and Fact 3, since baseball caps are hats and all hats have brims.

Every option that accepts I, II or III is therefore wrong.

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27.

Fact 1 : All chickens are birds.
Fact 2 : Some chickens are hens.
Fact 3 : Female birds lay eggs.

If the first three statements are facts, which of the following statement/(s) must also be a fact ?

I. All birds lay eggs.
II. Hens are birds.
III. Some chickens are not hens.

Choose the correct answer from the options given below :

Exam Year(s)

KPSC KAS - 2020,

Answer: B

The key accepts Only II and III.

Statement II holds: hens are female chickens, and all chickens are birds, so hens are birds. Statement I fails, because only female birds are said to lay eggs. Statement III is read in the ordinary sense of the word "some": saying that some chickens are hens suggests that others are not, and the Commission's key takes it that way.

Note that under a strictly formal reading, "some" only means at least one, and then III would not be forced, which would leave Only II. The key follows the everyday reading, which is how this set is meant to be answered.

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28.

Fact 1 : Most stuffed toys are stuffed with beans.
Fact 2 : There are stuffed bears and stuffed tigers.
Fact 3 : Some chairs are stuffed with beans.

If the first three statements are facts, which of the following statement/(s) must also be a fact ?

I. Only children's chairs are stuffed with beans.
II. All stuffed tigers are stuffed with beans.
III. Stuffed monkeys are not stuffed with beans.

Choose the correct answer from the options given below :

Exam Year(s)

KPSC KAS - 2020,

Answer: D

None of the statements is a known fact, so the answer is None of the statements is a known fact.

Statement I says only children's chairs are stuffed with beans, but Fact 3 says only that some chairs are, not which. Statement II says all stuffed tigers have beans, but Fact 1 says only most stuffed toys do. Statement III says stuffed monkeys have no beans, but the facts say nothing about monkeys and most toys are bean-stuffed.

None is forced by the three facts, so every option that accepts one of them is wrong.

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29.

Fact 1 : Pictures can tell a story.
Fact 2 : All storybooks have pictures.
Fact 3 : Some storybooks have words.

If the first three statements are facts, which of the following statement/(s) must also be a fact ?

I. Pictures can tell a story better than words can.
II. The stories in storybooks are very simple.
III. Some storybooks have both words and pictures.

Choose the correct answer from the options given below :

Exam Year(s)

KPSC KAS - 2020,

Answer: C

Only statement III must be a fact, so the answer is Only III.

All storybooks have pictures (Fact 2) and some storybooks have words (Fact 3), so some storybooks have both words and pictures.

Statement I compares pictures with words, which the facts never do. Statement II describes how simple the stories are, which is not stated anywhere. So Only I, Only II and the "none" option are wrong.

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30.

Ajay is twelve years old boy. He wanted a pet dog to play with. But his parents told him that a dog would not be happy in their flat, but they allowed him to have a pet bird. This definitely implies that

Exam Year(s)

MPPSC State Service - 2022, MPPSC Forest Service - 2022,

Answer: C

It definitely implies that Ajay and his parents live in a flat.

The parents said a dog would not be happy 'in their flat', which states directly that the family lives in a flat. That is the only conclusion the passage makes certain.

Nothing is said about which animal the parents like better: they refused the dog because of the dog's happiness, not their own preference, so neither of the options about the parents liking birds or dogs follows. Ajay accepting a pet bird suggests, if anything, that he does not dislike birds.

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