
Paper 1 | Objectives | 49 Questions
JAMB Exam
Year: 2008
Level: SHS
Time:
Type: Question Paper
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A guide to passing your exams without studying hard, how to pass any test and top your class
Eat well during in test days for good grades. How can you plan your exam diet with good grades in mind?
Make sure you study hard but not into the late-night hours to give your body the enough rest you need.
| # | Question | Ans |
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| 1. | ||
| 2. |
If 125x = 2010 find x A. 2 B. 3 C. 4 D. 5
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Detailed Solution125x = 201xX2 + 2xX1 + 5xX0 = 20 X2 + 2X + 5 = 20 X2 + 2X - 15 = 0 (X + 5)( X - 3) = 0 X + 5 implies X = -5 X - 3 implies X = 3 But X cannot be negative ∴X = 3 There is an explanation video available below. |
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| 3. |
Evaluate \(\frac{\left(\frac{3}{8}\div\frac{1}{2}+\frac{1}{2}\right)}{\left(\frac{1}{8}\times\frac{2}{3}+\frac{1}{3}\right)}\) A. 1/4 B. 1/3 C. 1/2 D. 3 |
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| 4. | ||
| 5. |
Calculate the simple interest on N7,500 for 8 years at 5% per annum. A. N3,000 B. N600 C. N300 D. N150
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Detailed Solution\(I = \frac{P \times T \times R}{100}\\=\frac{7500 \times 8 \times 5}{100}\\ =N3000\) There is an explanation video available below. |
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| 6. |
The cost of kerosene per liter increased from N60 to N85. What is the percentage rate of increase? A. 42% B. 41% C. 40% D. 25%
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Detailed SolutionN85 - N60 = N25 increase∴percentage increase = \(\frac{25}{60}\times \frac{100}{1}\\=\frac{125}{3}\\=41.67%\\ =42%\) There is an explanation video available below. |
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| 7. |
Simplify \(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\) A. 3/8 B. 2/3 C. 3/4 D. 3/2
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Detailed Solution\(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\\=\frac{1}{16^{\frac{1}{2}}}\times \frac{1}{4^{\frac{1}{2}}}\times 27^{\frac{1}{3}}\\ =\frac{1}{\sqrt{16}} \times \frac{1}{\sqrt{4}} \times sqrt[3]{27}\\ =\frac{1}{4} \times \frac{1}{2} \times \frac{3}{1}\\ = \frac{3}{8}\) There is an explanation video available below. |
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| 8. |
If log\(_{x^{1/2}}^{64}\) = 3, find the value of x A. 4 B. 16 C. 32 D. 64
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Detailed SolutionIf logx1/264 = 3(X 1/2)3 = 64 (X 1/2)3 = 4 3 X 1/2 = 4 X = 42 X = 16 There is an explanation video available below. |
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| 9. |
If \(\frac{1+\sqrt{2}}{1-\sqrt{2}}\) is expressed in the form of x+y√2 find the values of x and y A. (-3, -2) B. (-2, 3) C. (3,2) D. (2,-3)
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Detailed Solution\(\frac{1+\sqrt{2}}{1-\sqrt{2}} \times \frac{1+\sqrt{2}}{1+\sqrt{2}}\\=\frac{1+(1+\sqrt{2})+\sqrt{2}(1+\sqrt{2})}{1^2 - (\sqrt{2})^2}\\ =\frac{(1+\sqrt{2}+\sqrt{2}+2)}{1-2}\\ =\frac{3+2\sqrt{2}}{-1}\\ =-3-2\sqrt{2}\\ ∴X and Y = -3 and -2\) There is an explanation video available below. |
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| 10. |
If X = {n\(^2\) + 1:n = 0,2,3} and Y = {n+1:n=2,3,5}, find X∩Y. A. {1,3} B. {5,10} C. ∅ D. {4,6} |
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