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Algebra Level 1 Test 1

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Question 1

P is the prime number, where P is ≥5 , therefore ( P-1 )( P+1 ) is always divisible by

A

12

B

24

C

6

D

48

Question 1 Explanation:

Answer is 24
The easiest approach is to consider the value of P as 5, 7, 11, 13.
As prime numbers are of the form, is either 6k+1 or 6k-1 hence the number is always divisible by 24

Question 2

( 5^{25} ) ^{35} =5^{x} . Find the Value of X

A

60

B

875

C

35^{25}

D

25^{35}

Question 2 Explanation:

As we know (a^{m})^{n }= a^{mn} Hence Value of x = 25*35 = 875

Question 3

( P+Q )^{2} = 196 , PQ = 48 Find the value of P^{2}+ Q^{2}