Bece Model Questions Vol1 2024 Mathematics Question 1

Practice essay / theory question 1 from the 2024 Bece Model Questions Vol1 Mathematics examination. This question covers Number and Numeration .

Bece Model Questions Vol1 2024 Mathematics Essay / Theory

Topic: Number and Numeration

Question 1 BECE_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • essay

A five‑digit integer N satisfies the following conditions: (i) Its digits, when written in base 10, are in strictly increasing order from left to right. (ii) When N is expressed in base 5 the representation is 2431₅. (iii) The sum of the base‑10 digits of N equals the product of its first and last digits. Determine the value of N in base 10.

Question Parts

( a )

Convert 2431₅ to its decimal (base 10) equivalent.

( b )

Check whether the digits of 366 are in strictly increasing order. If they are not, explain why the given conditions cannot be satisfied.

( c )

If the examiner intended the number of digits to be five after conversion, propose a corrected base‑5 representation that would meet the three conditions and give the corresponding decimal number.

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About This Question

This is Bece Model Questions Vol1 2024 Mathematics Question 1. It is one of the essay questions from the 2024 Bece Model Questions Vol1 Mathematics examination.

The question covers Number and Numeration .

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