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Statement - Conclusions Questions and Answers

Important Instructions
Direction for [ Question No: 1 To 5 ] :

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.

1.

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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2.

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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3.

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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4.

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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5.

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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Direction for [ Question No: 6 To 10 ] :

Choose the correct conclusion for the following.

6.

Statement 1: All those who graduated from MTV College are very intelligent.
Statement 2: Only intelligent people work in LT Company. 
 

Answer: C

Correct answer: Neither (A) nor (B) follows.

Only intelligent people work at LT, and MTV graduates are intelligent - but that does not put any of them in the company, so (B) does not follow. (A) claims that graduates of other colleges are less intelligent, which neither statement says. Neither follows.

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Answer: B

Correct answer: Private companies’ employees work more than Government employees

Six working days against five is a direct comparison of the two, so this conclusion simply reads off the statements. The others go beyond them: nothing is said about which employees are better, nor about how heavy the work is on either side.

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Answer: D

Correct answer: None of these.

“Do not smoke” is an instruction and nothing more. It gives no reason and no consequence - not that smoking is an offence, not that it causes cancer, not that a fine will be charged. All of those would have to be brought in from outside, so the answer is none of these.

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Answer: D

Correct answer: None of these.

We are told that Ani earns more than Sam and that Sam will get a rise of Rs 5000, but not by how much Ani’s earnings exceed Sam’s. If the gap is under Rs 5000 Sam will overtake her; if it is more, he will not; if exactly Rs 5000, they will be level. Nothing settles which, so the answer is none of these.

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10.

Priya is a friend of Aarti. Aarti is a friend of Geeta. Geeta is a friend of Neeta.

Answer: D

Correct answer: Geeta is a friend of Aarti.

Friendship as stated here works both ways, so Aarti being a friend of Geeta makes Geeta a friend of Aarti - the one conclusion that needs nothing added. Friendship is not, however, carried along a chain: Priya being Aarti’s friend and Aarti Geeta’s does not make Priya and Geeta friends.

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