Northstar Learning › Brain Lab

Logic and patterns challenges

Think-it-through questions on logic and patterns, from teen to adult level, each with a clear explanation.

16 questions · free · no account needed · works offline once loaded

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All glims are blue. Nara is a glim. What must be true?

Options: Nara is a bird · Nara is blue · All blue things are glims

Answer: Nara is blue

The rule says every glim is blue, and Nara is a glim.

Which number is both a multiple of 3 and greater than 10: 8, 12, or 14?

Options: 12 · 8 · 14

Answer: 12

12 is divisible by 3 and is greater than 10.

A code has three digits: the first is 2, the last is 8, and the middle is larger than 2 but smaller than 8. Which fits?

Options: 258 · 218 · 288

Answer: 258

The middle digit must be between 2 and 8.

Two fair coin tosses: what is the probability of exactly one head?

Options: 3/4 · 1/4 · 1/2

Answer: 1/2

The outcomes HT and TH are two of four equally likely outcomes.

If exactly one of P and Q is true, and P is false, what follows?

Options: Q is false · Both are true · Q is true

Answer: Q is true

The exclusive-or condition requires exactly one true statement.

A fair die shows an even number. Given that, what is the chance it is 6?

Options: 1/6 · 1/2 · 1/3

Answer: 1/3

The even outcomes are 2, 4 and 6; one of the three is 6.

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