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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
12 | |
24 | |
6 | |
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 |
( 525 ) 35 =5x . Find the Value of X
60 | |
875 | |
3525 | |
2535 |
Question 2 Explanation:
As we know (am)n = amn
Hence Value of x = 25*35 = 875
Question 3 |
( P+Q )2 = 196 , PQ = 48
Find the value of P2+ Q2
100 | |
50 | |
148 | |
52 |
Question 3 Explanation:
(p + q)2 = p2 + 2pq + q2
Hence P2+ Q2 = 196- 2*48 = 100
Question 4 |
( P+Q )2 = 676 , PQ = 160
Find the value of P2- Q2
376 | |
96 | |
156 | |
36 |
Question 4 Explanation:
(P + Q)2 = P2 + 2PQ + Q2
(P - Q)2 = P2 – 2PQ + Q2
P+Q = 26 ; P-Q= 6
P= 16 Q= 10 hence P2- Q2 = 256- 100 = 156
Question 5 |
324 / 32 =3x . Find the Value of X
12 | |
22 | |
24 | |
√24 |
Question 5 Explanation:
As we know am/ an = am-n
Hence the answer should be = 24-2 = 22
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