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STEP 2 - 2018, Q6i): Find all pairs of positive integers (n, p), where p is a prime number, that satisfy n! + 5 = p .

The key observation here is that all numbers below n, by definition, divide n!=nx(n-1)x(n-2)x...x1.So in particular, if n greater or equal to 5, 5 divides n!, and thus is divides n!+5.Hence, if n!+5=p and...

MV
Answered by Marios V. STEP tutor
1959 Views

How do you revise for the ELAT when you don't have any texts to prepare with?

The important thing to remember about the ELAT is that it is not designed to test your memory of knowledge of texts, but instead to test your aptitude and close reading skills, and most i...

MW
Answered by Megan W. ELAT tutor
1369 Views

Differentiate f(x)= 3y^2 + ln (x) + sin x

We have derivative rules. Some of them involve:If f(x)= (x)a=> f'(x)= a*xa-1If f(x)= ln x=> f'(x)= 1/xIf f(x)= sin x=> f'(x)=cos xTherefore, f(x)= 6y+1/x+cos x

DC
Answered by Daria C. Maths tutor
1412 Views

What are tutors looking for in the "Oxford Interview" and how can I show this?

There are three things that Oxford tutors are looking for in an interview. All of these things have to come across naturally as they can see through if you are being disingenuous.
Passion for the ...

OA
Answered by Oliver A. TSA Oxford tutor
1621 Views

How should I structure a Section 2 answer in the Oxford TSA?

Section 2 of the Oxford TSA requires that you write one 30 minute essay from a choice of 4. These questions are rarely subject specific, and are usually focused on concepts about which students will have ...

HC
Answered by Harry C. TSA Oxford tutor
11281 Views

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