Why is $7 \times 11 \times 13 + 13$ a composite number? Explain.

  • A
    $1230$
  • B
    $1014$
  • C
    $1470$
  • D
    $9803$

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Find $g.c.d.$ of $210$ and $55$ by Euclid's algorithm.

The smallest positive number greater than $5$ such that when it is divided by $20, 30,$ or $40,$ it leaves the remainder $5$ is:

Show that one and only one out of $n, n+4, n+8, n+12$ and $n+16$ is divisible by $5,$ where $n$ is any positive integer.

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