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A magician in Delhi says: 'Take any prime number greater than 3. When you divide it by 6, the remainder is always 1 or 5.' Test this rule with the primes 7, 11, 13 and 17.
How many of these four primes leave a remainder of 1 when divided by 6?

Class 6Prime and Composite NumbersPlaying with Numbers
  • A4
  • B1
  • C2
  • D3

Step-by-Step Solution

leaves remainder 1, leaves 5, leaves 1, leaves 5. So remainder 1 occurs for 7 and 13 — that is 2 primes.
Answer: C) 2

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