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Number System · Question 30 of 71

Question 30

MediumOriginal question

A school hall's seat numbers are all two-digit numbers. A seat wins a prize if its number is divisible by both 3 and 4. How many seats win a prize?

Options for question 30

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Divisible by both 3 and 4 means divisible by 12.

  2. Two-digit multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96.

  3. That is 8 seats.

Worth noting

You need numbers divisible by 12, not numbers divisible by 3 or by 4. Starting the list at 24 misses 12 and gives 7.

Concept
Divisibility by two co-prime numbers together
Typical time
50 s
Your time
—
The rule this testsDivisibility rules
Practise this chapter →

Ten questions from Number System, at your own pace.

Practise this chapter →

Ten questions from Number System, at your own pace.