Given that 2p - m = 6 and 2p + 4m = 1, find the value of (4p + 3m).
1
3
5
7
9
Correct answer is D
2p - m = 6 ... (i) 2p + 4m = 1 ... (ii) From (i), m = 2p - 6. 2p + 4(2p - 6) = 1 2p + 8p - 24 = 1 10p = 1 + 24 = 25 p = 2.5 m = 2(2.5) - 6 = 5 - 6 = -1 ∴ 4p + 3m = 4(2.5) + 3(-1) = 10 - 3 = 7
E = (integers ≤ 20), P = (multiples of 3), Q = (multiples of 4), what are the elements of P'∩Q?
(12)
(4, 8, 16, 20)
(3, 6, 9, 15, 18)
(1,2,5,7,10,11,13,17,19)
(3, 4, 6, 8, 9, 12, 15, 16, 18, 20)
Correct answer is B
E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
P = {3, 6, 9, 12, 15, 18}
Q = {4, 8, 12, 16, 20}
P' = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20}
P' ∩ Q = {4, 8, 16, 20}
A string is 4.8m. A boy measured it to be 4.95m. Find the percentage error.
516%
1516%
3133%
318%
25%
Correct answer is D
4.95m - 4.8m = 0.15m
0.154.8×100
= 258
= 318%
A house bought for N100,000 was later auctioned for N80,000. Find the loss percent.
20%
30%
40%
50%
60%
Correct answer is A
Loss = N(100,000 - 80,000)
= N20,000.
Loss percentage = 20,000100,000×100
= 20%