Question 1 |

Consider the polynomial p(x)=a_{0}+a_{1}x+a_{2}x^{2} + a_{3}x^{3}, where a_{i}\neq 0,\forall i. The minimum number of multiplications needed to evaluate p on an input x is:

3 | |

5 | |

6 | |

9 |

Question 1 Explanation:

Question 2 |

Let X, Y, Z be sets of sizes x, y and z respectively. Let W=X\timesY and E be the
set of all subsets of W. The number of functions from Z to E is

Z^{2xy} | |

Z*2^{xy} | |

Z^{2x+y} | |

2^{xyz} |

Question 2 Explanation:

Question 3 |

The set {1, 2, 3, 5, 7, 8, 9} under multiplication modulo 10 is not a group. Given
below are four plausible reasons. Which one of them is false?

It is not closed | |

2 does not have an inverse | |

3 does not have an inverse | |

8 does not have an inverse |

Question 3 Explanation:

Question 4 |

A relation R is defined on ordered pairs of integers as follows:

(x,y)R(u,v) if x\ltu and y\gtv. Then R is

(x,y)R(u,v) if x\ltu and y\gtv. Then R is

Neither a Partial Order nor an Equivalence Relation | |

A Partial Order but not a Total Order | |

A Total Order | |

An Equivalence Relation |

Question 4 Explanation:

Question 5 |

For which one of the following reason does Internet Protocol (IP) use the timeto-live (TTL) field in the IP datagram header?

Ensure packets reach destination within that time | |

Discard packets that reach later than that time | |

Prevent packets from looping indefinitely | |

Limit the time for which a packet gets queued in intermediate routers |

Question 5 Explanation:

There are 5 questions to complete.