PAPASA OR MADEDEPRESS

There are 25 problems in a mathematics competition. The scores of each problem are

allocated in the following ways: 2 marks will be given for a correct answer, 1 mark will be

deducted from a wrong answer and 0 marks will be deducted for a blank answer. Find the

minimum number of candidate(s) to ensure that 8 candidates will have the same scores in the

competition.

Use hexadecimal number system (base 16) to represent quaternary number 310211(base4).

Determine the largest 2-digit prime number that is equal to the sum of 3 unique prime

numbers.

15th September 2024 is Sunday. Which day of the week will 16th November 2035 be?

Find the sum of the last two digits of 1! + 2! + 3! + ⋯ + 23! + 24!.

Find the value of x such that x = √x + 240

Given it is Monday tomorrow, which day of the week will it be 265^224 days after today?