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Olympiad (Class 5) Logic Puzzle — practice questions

Explore 52 free Logic Puzzle questions in Olympiad (Class 5) Reasoning. Open each question or exercise to read its content, reference answers and available explanation.

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Logic Puzzle questions and exercises with answers

Showing questions 1–30 of 52.

On an island, knights always tell the truth and knaves always lie. Tom says, "I always tell the truth." What is Tom?Read the answer and worked solution →Mia says, "Sam is a knave." Sam says, "Mia is a knave." Knights tell the truth and knaves lie. What must be true?Read the answer and worked solution →Knights tell truth, knaves lie. Raju says, "We two are both knaves." Who is the knight?Read the answer and worked solution →Which sentence can a knave, who always lies, never say?Read the answer and worked solution →Four children sit in a row. Ria is at the left end. Uma is next to Ria. Tia is at the right end. Who sits in the third seat from the left?Read the answer and worked solution →Red, blue and green houses stand in a row. Red is in the middle, green is left of red. Which is at the right end?Read the answer and worked solution →Ali, Beni and Chitra wear red, green and yellow caps. Ali is not in red. Beni is in neither red nor green. Who wears red?Read the answer and worked solution →Four friends visit on Mon to Thu, one a day: Cara Monday, Dev Tuesday, Eli before Fay. Who goes on Wednesday?Read the answer and worked solution →Kiran's birthday is in March. Lata's is 2 months later and Manu's is 3 months before Lata's. Manu's month?Read the answer and worked solution →Anu is 2 years older than Binu. Binu is 3 years older than Chotu. Chotu is 6 years old. How old is Anu?Read the answer and worked solution →Rani is neither the eldest nor the youngest of three sisters. Sana is older than Rani. Who is the youngest?Read the answer and worked solution →No fat creature runs well. Some greyhounds run well. What must be true?Read the answer and worked solution →Every pen in a box is blue. Riya takes a pen from that box. What colour is her pen?Read the answer and worked solution →Every member of a chess club owns a chess board. Joy does not own a chess board. What follows?Read the answer and worked solution →Who wrote The Game of Logic, which introduced the first logic puzzles?Read the answer and worked solution →Raymond Smullyan made which kind of puzzle popular?Read the answer and worked solution →Misty, Rex and Coco are three dog breeds. Neither Misty nor Rex is the German Shepherd. Who is?Read the answer and worked solution →A yard has hens and cows with 10 heads and 28 legs in all. How many hens are there?Read the answer and worked solution →Four friends each shake hands once with every other friend. How many handshakes happen in all?Read the answer and worked solution →Ria has twice as many stickers as Sia. Together they have 18. How many does Ria have?Read the answer and worked solution →A father is 4 times as old as his son. Together their ages add up to 50. How old is the son?Read the answer and worked solution →A two-digit number has digits adding to 9, and its tens digit is 3 more than its units digit. Which number is it?Read the answer and worked solution →I think of a number, double it and add 6, and get 20. Which number did I think of?Read the answer and worked solution →A boat holds a farmer and one item. Wolf eats goat, goat eats cabbage if left alone. What goes first?Read the answer and worked solution →How many months of a year have at least 28 days?Read the answer and worked solution →Rahul's mother has four children named April, May, June and one more. What is the fourth child's name?Read the answer and worked solution →Today is Wednesday. Which day of the week will it be 10 days from now?Read the answer and worked solution →The day before yesterday was Friday. Which day is today?Read the answer and worked solution →The 5th of a month is a Monday. Which day of the week is the 24th of that month?Read the answer and worked solution →Three matchstick squares sit in a row and share sides with neighbours. How many sticks are needed?Read the answer and worked solution →

Worked practice questions

On an island, knights always tell the truth and knaves always lie. Tom says, "I always tell the truth." What is Tom?

  1. Definitely a knave
  2. Neither of the two
  3. Definitely a knight
  4. Could be either one
Show answer and solution

Correct answer: D. Could be either one

A knight would say it truthfully and a knave would say it falsely, so the sentence does not reveal which one Tom is.

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Mia says, "Sam is a knave." Sam says, "Mia is a knave." Knights tell the truth and knaves lie. What must be true?

  1. Nothing can be said
  2. Both are knights
  3. Both are knaves
  4. Exactly one knight
Show answer and solution

Correct answer: D. Exactly one knight

If both were knights each would call the other a knave falsely, and if both were knaves each statement would be true, so exactly one is a knight.

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Knights tell truth, knaves lie. Raju says, "We two are both knaves." Who is the knight?

  1. Raju
  2. Neha
  3. Both
  4. Neither
Show answer and solution

Correct answer: B. Neha

A knight cannot truthfully call himself a knave, so Raju lies; the statement is false, so Neha is not a knave and must be a knight.

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More Reasoning topics

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