Logic problems

Noah has fewer stickers than Jacob. Alfie has more stickers than Isla. Noah has more stickers than Alfie. Jacob has fewer stickers than Ethan. Who is the person with the second most stickers?

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The answer is B. Put the five in order using the clues, from the person with the most stickers to the person with the fewest stickers. Jacob comes before Noah; Alfie comes before Isla; Noah comes before Alfie; Ethan comes before Jacob. Fitting these together gives one order: Ethan, Jacob, Noah, Alfie, Isla. So the person with the second most stickers is Jacob. Draw a line and put each name on it as you read the clues, with the most at one end and the least at the other.

Rosie scored more points than Sophie. Evie scored more points than Alfie. Theo scored more points than Evie. Rosie scored fewer points than Alfie. Who is the lowest scorer?

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The answer is A. Put the five in order using the clues, from the highest scorer to the lowest scorer. Rosie comes before Sophie; Evie comes before Alfie; Theo comes before Evie; Alfie comes before Rosie. Fitting these together gives one order: Theo, Evie, Alfie, Rosie, Sophie. So the lowest scorer is Sophie. Turn each clue that says 'fewer', 'younger' or 'shorter' round the other way, so all the clues point the same way.

Noah is older than Harry. Noah is younger than Maisie. Rosie is older than Amelia. Rosie is younger than Harry. Who is the youngest?

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The answer is A. Put the five in order using the clues, from the oldest to the youngest. Noah comes before Harry; Maisie comes before Noah; Rosie comes before Amelia; Harry comes before Rosie. Fitting these together gives one order: Maisie, Noah, Harry, Rosie, Amelia. So the youngest is Amelia. Turn each clue that says 'fewer', 'younger' or 'shorter' round the other way, so all the clues point the same way.

Ruby lives further from school than Ethan. Rosie lives nearer to school than Oliver. Rosie lives further from school than Ruby. Poppy lives nearer to school than Ethan. Who is the person who lives nearest to school?

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The answer is C. Put the five in order using the clues, from the person who lives furthest from school to the person who lives nearest to school. Ruby comes before Ethan; Oliver comes before Rosie; Rosie comes before Ruby; Ethan comes before Poppy. Fitting these together gives one order: Oliver, Rosie, Ruby, Ethan, Poppy. So the person who lives nearest to school is Poppy. Draw a line and put each name on it as you read the clues, with the most at one end and the least at the other.

Toby is older than Evie. Arthur is younger than Evie. Toby is younger than Isla. Leo is younger than Arthur. Who is the second oldest?

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The answer is B. Put the five in order using the clues, from the oldest to the youngest. Toby comes before Evie; Evie comes before Arthur; Isla comes before Toby; Arthur comes before Leo. Fitting these together gives one order: Isla, Toby, Evie, Arthur, Leo. So the second oldest is Toby. Write the names as initials. It is quicker, and easier to move them around.

Isla is shorter than Ella. Chloe is taller than Jack. Chloe is shorter than Lily. Lily is shorter than Isla. Who is the shortest?

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The answer is E. Put the five in order using the clues, from the tallest to the shortest. Ella comes before Isla; Chloe comes before Jack; Lily comes before Chloe; Isla comes before Lily. Fitting these together gives one order: Ella, Isla, Lily, Chloe, Jack. So the shortest is Jack. Read every clue before you answer. The last clue often changes the order.

Theo ran more slowly than Rosie. Jacob ran more slowly than Ruby. Freya ran more slowly than Theo. Freya ran faster than Ruby. Who is the second fastest runner?

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The answer is E. Put the five in order using the clues, from the fastest runner to the slowest runner. Rosie comes before Theo; Ruby comes before Jacob; Theo comes before Freya; Freya comes before Ruby. Fitting these together gives one order: Rosie, Theo, Freya, Ruby, Jacob. So the second fastest runner is Theo. Write the names as initials. It is quicker, and easier to move them around.

Arthur has fewer stickers than Jack. Arthur has more stickers than Evie. Jack has fewer stickers than Rosie. Mia has fewer stickers than Evie. Who is the person with the most stickers?

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The answer is D. Put the five in order using the clues, from the person with the most stickers to the person with the fewest stickers. Jack comes before Arthur; Arthur comes before Evie; Rosie comes before Jack; Evie comes before Mia. Fitting these together gives one order: Rosie, Jack, Arthur, Evie, Mia. So the person with the most stickers is Rosie. Turn each clue that says 'fewer', 'younger' or 'shorter' round the other way, so all the clues point the same way.

Lily is shorter than Ruby. Ruby is shorter than Isla. Lily is taller than Rosie. Rosie is taller than Ethan. Who is the second tallest?

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The answer is E. Put the five in order using the clues, from the tallest to the shortest. Ruby comes before Lily; Isla comes before Ruby; Lily comes before Rosie; Rosie comes before Ethan. Fitting these together gives one order: Isla, Ruby, Lily, Rosie, Ethan. So the second tallest is Ruby. Draw a line and put each name on it as you read the clues, with the most at one end and the least at the other.

Poppy has more stickers than Ruby. Ethan has fewer stickers than Theo. Poppy has fewer stickers than Freya. Ruby has more stickers than Theo. Who is the person with the second most stickers?

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The answer is B. Put the five in order using the clues, from the person with the most stickers to the person with the fewest stickers. Poppy comes before Ruby; Theo comes before Ethan; Freya comes before Poppy; Ruby comes before Theo. Fitting these together gives one order: Freya, Poppy, Ruby, Theo, Ethan. So the person with the second most stickers is Poppy. Draw a line and put each name on it as you read the clues, with the most at one end and the least at the other.

Ella has more stickers than Isla. Isla has more stickers than Mia. Mia has more stickers than Poppy. Finn has fewer stickers than Poppy. Who is the person with the most stickers?

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The answer is E. Put the five in order using the clues, from the person with the most stickers to the person with the fewest stickers. Ella comes before Isla; Isla comes before Mia; Mia comes before Poppy; Poppy comes before Finn. Fitting these together gives one order: Ella, Isla, Mia, Poppy, Finn. So the person with the most stickers is Ella. Read every clue before you answer. The last clue often changes the order.

Zain is shorter than Ruby. Finn is shorter than Evie. Ruby is shorter than Lily. Evie is shorter than Zain. Who is the shortest?

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The answer is A. Put the five in order using the clues, from the tallest to the shortest. Ruby comes before Zain; Evie comes before Finn; Lily comes before Ruby; Zain comes before Evie. Fitting these together gives one order: Lily, Ruby, Zain, Evie, Finn. So the shortest is Finn. Turn each clue that says 'fewer', 'younger' or 'shorter' round the other way, so all the clues point the same way.

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