Gce Model Questions Vol1 2018 Mathematics Question 1

Practice essay / theory question 1 from the 2018 Gce Model Questions Vol1 Mathematics examination. This question covers Number Theory, Divisibility, Factorials, Trailing Zeros .

Gce Model Questions Vol1 2018 Mathematics Essay / Theory

Topics: Number Theory Divisibility Factorials Trailing Zeros

Question 1 GCE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay

A positive integer N satisfies the following conditions: - When divided by 7 it leaves a remainder of 3. - When divided by 9 it leaves a remainder of 5. - When divided by 11 it leaves a remainder of 7. Find the smallest such N and then determine how many zeros are at the end of N! (the factorial of N).

Question Parts

( a )

Find the smallest positive integer N that satisfies the three remainder conditions.

( b )

Using the value of N found in part (a), calculate the number of trailing zeros in N! .

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About This Question

This is Gce Model Questions Vol1 2018 Mathematics Question 1. It is one of the essay questions from the 2018 Gce Model Questions Vol1 Mathematics examination.

The question covers Number Theory, Divisibility, Factorials, Trailing Zeros .

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