Logic Questions and Answers

Q: Samantha is your father’s mother’s grandson’s daughter. Therefore, Samantha is your

Correct answer: nieceYour father’s mother is your grandmother, and her grandsons are you and your brothers and male cousins. Her grandson’s daughter is therefore your own daughter or your brother’s daughter, and since the question asks how Samantha is related to you rather than the reverse, the intended answer is your brother’s daughter - your niece.

Q: The day before yesterday was Saturday. What day will it be the day after tomorrow?

Correct answer: WednesdayCount forward from the fixed point. The day before yesterday was Saturday, so yesterday was Sunday and today is Monday. Tomorrow is Tuesday and the day after tomorrow is Wednesday. The whole difficulty of such questions is keeping the anchor straight, so it is worth naming today explicitly before counting on.

Q: David prefers Economics to Maths, English to Social science, and Political Science to History. If she prefers Maths to History, and Social science to Maths, which is David’s least preferred subject?

Correct answer: HistoryChain the preferences together. Social science is preferred to Maths and Maths to History, and English is preferred to Social science, giving English above Social science above Maths above History. Economics is above Maths and Political Science above History. Nothing is placed below History, so it is the least preferred.

Q: Pointing out to an elderly woman, Robin said, “She is the daughter of the woman who is the mother of the husband of my mother”. What is the woman’s relationship to Robin?

Correct answer: auntTake the description from the inside out. The husband of Robin’s mother is Robin’s father; the mother of Robin’s father is Robin’s grandmother; and the daughter of that grandmother is Robin’s father’s sister. A father’s sister is an aunt.

Q: A school organized a knockout football competition in which 23 teams played. What was the least number of matches they needed to play to decide the winner?

Correct answer: 22 matchesEvery match eliminates exactly one team, and all but the winner must be eliminated, so 23 teams require 22 matches. The argument is independent of how the byes and rounds are arranged, which is why it gives the answer at once where counting through the rounds would be laborious.

Q: In a maths class Riki divides 60 chalk sticks by half and adds fifteen. What answer does she show the Class?

Correct answer: 135 chalk sticksDividing by half is dividing by one half, which doubles the quantity: \[ \frac{60}{1/2} = 120, \qquad 120 + 15 = 135. \] The trap is to read it as dividing in half, which would give 30 and then 45. The wording is the whole of the question.

Important Instructions

71.

Samantha is your father’s mother’s grandson’s daughter. Therefore, Samantha is your

A.niece
B.sister
C.uncle
D.brother

Answer: A

Correct answer: niece

Your father’s mother is your grandmother, and her grandsons are you and your brothers and male cousins. Her grandson’s daughter is therefore your own daughter or your brother’s daughter, and since the question asks how Samantha is related to you rather than the reverse, the intended answer is your brother’s daughter - your niece.

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72.

The day before yesterday was Saturday. What day will it be the day after tomorrow?

A.Tuesday
B.Wednesday
C.Thursday
D.Friday

Answer: B

Correct answer: Wednesday

Count forward from the fixed point. The day before yesterday was Saturday, so yesterday was Sunday and today is Monday. Tomorrow is Tuesday and the day after tomorrow is Wednesday. The whole difficulty of such questions is keeping the anchor straight, so it is worth naming today explicitly before counting on.

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73.

David prefers Economics to Maths, English to Social science, and Political Science to History. If she prefers Maths to History, and Social science to Maths, which is David’s least preferred subject?

A.History
B.Maths
C.Social science
D.Economics

Answer: A

Correct answer: History

Chain the preferences together. Social science is preferred to Maths and Maths to History, and English is preferred to Social science, giving English above Social science above Maths above History. Economics is above Maths and Political Science above History. Nothing is placed below History, so it is the least preferred.

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74.

Pointing out to an elderly woman, Robin said, “She is the daughter of the woman who is the mother of the husband of my mother”. What is the woman’s relationship to Robin?

A.grand daughter
B.sister in-law
C.aunt
D.daughter

Answer: C

Correct answer: aunt

Take the description from the inside out. The husband of Robin’s mother is Robin’s father; the mother of Robin’s father is Robin’s grandmother; and the daughter of that grandmother is Robin’s father’s sister. A father’s sister is an aunt.

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75.

A school organized a knockout football competition in which 23 teams played. What was the least number of matches they needed to play to decide the winner?

A.11 matches
B.62 matches
C.21 matches
D.22 matches

Answer: D

Correct answer: 22 matches

Every match eliminates exactly one team, and all but the winner must be eliminated, so 23 teams require 22 matches. The argument is independent of how the byes and rounds are arranged, which is why it gives the answer at once where counting through the rounds would be laborious.

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76.

In a maths class Riki divides 60 chalk sticks by half and adds fifteen. What answer does she show the Class?

A.129 chalk sticks
B.130 chalk sticks
C.135 chalk sticks
D.145 chalk sticks

Answer: C

Correct answer: 135 chalk sticks

Dividing by half is dividing by one half, which doubles the quantity: \[ \frac{60}{1/2} = 120, \qquad 120 + 15 = 135. \] The trap is to read it as dividing in half, which would give 30 and then 45. The wording is the whole of the question.

Discuss in Forum

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