1.2
6.4
4.6
1.8
Correct answer is A
Average performance rating of Team B = \(\frac{7+9+1+9+6}{5} = \frac{32}{5}\) = 6.4
Average performance rating of Team A = \(\frac{5+3+6+10+2}{5} = \frac{26}{5}\) = 5.2
∴ The difference in the average performance ratings between Team B and Team A = 6.4 - 5.2 = 1.2
Express 16.54 x 10\(^{-5}\) - 6.76 x 10\(^{-8}\) + 0.23 x 10\(^{-6}\) in standard form
1.66 x 10\(^{-4}\)
1.66 x 10\(^{-5}\)
1.65 x 10\(^{-5}\)
1.65 x 10\(^{-4}\)
Correct answer is A
16.54 x 10\(^{-5}\) - 6.76 x 10\(^{-8}\) + 0.23 x 10\(^{-6}\)
⇒ 1.654 x 10\(^{-4}\) - 6.76 x 10\(^{-8}\) + 2.3 x 10\(^{-7}\)
⇒ 1.654 x 10\(^{-4}\) - 0.000676 x 10\(^{-4}\) + 0.0023 x 10\(^{-4}\)
⇒ (1.654 - 0.000676 + 0.0023) x 10\(^{-4}\)
∴ 1.655624 x 10\(^{-4}\) ≃ 1.66 x 10\(^{-4}\)
The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms
201
144
198
72
Correct answer is C
T\(_3\) = 6
T\(_5\) = 12
S\(_{12}\) = ?
T\(_n\) = a + (n - 1)d
⇒ T\(_3\) = a + 2d = 6 ----- (i)
⇒ T\(_5\) = a + 4d = 12 ----- (ii)
Subtract equation (ii) from (i)
⇒ -2d = -6
⇒ d\(\frac{-6}{-2}\) = 3
Substitute 3 for d in equation (i)
⇒ a + 2(3) = 6
⇒ a + 6 = 6
⇒ a = 6 - 6 = 0
S\(_n\) = \(\frac{n(2a + (n - 1)d)}{2}\)
⇒ S\(_{12}\) = \(\frac{12(2 \times 0 + (12 - 1)3)}{2}\)
⇒ S\(_{12}\) = 6(0 + 11 x 3)
⇒ S\(_{12}\) = 6(33)
∴ S\(_{12}\) = 198
Find the volume of the cylinder above
[Take \(\pi= ^{22}/_7\)]
9,856 cm\(^3\)
14,784 cm\(^3\)
4,928 cm\(^3\)
19,712 cm\(^3\)
Correct answer is B
Volume of the cylinder = \(\frac{θ}{360} \times \pi r^2h\)
θ = 360\(^o\) - 90\(^o\) = 270\(^o\)
∴ Volume of the cylinder = \(\frac{270}{360} \times \frac{22}{7} \times \frac{14^2}{1} \times \frac{32}{1} = \frac{37,255,680}{2520} = 14,784cm^3\)
Find the compound interest (CI) on ₦15,700 for 2 years at 8% per annum compounded annually.
₦6,212.48
₦2,834.48
₦18,312.48
₦2,612.48
Correct answer is D
Principal (P) = ₦15,700
Rate (R) = 8
Number of years (t) = 2
A = P \((1+\frac{R}{100})^t\)
⇒ A = 15700 \((1+\frac{8}{100})^2\)
⇒ A = 15700 (1 + 0.08)\(^2\)
⇒ A = 15700 (1.08)\(^2\)
⇒ A = 15700 x 1.1664
⇒ A = ₦18,312.48
Total amount, A = ₦18,312.48
A = P + CI
⇒ CI = A - P
⇒ CI = 18,312.48 - 15,700
∴ CI = ₦2,612.48
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