Paper 1 | Objectives | 49 Questions
JAMB Exam
Year: 1992
Level: SHS
Time:
Type: Question Paper
Answers provided
No description provided
This paper is yet to be rated
Eat well during in test days for good grades. How can you plan your exam diet with good grades in mind?
Try studying past questions since it's a sure way to better grades in any subject at school and beyond.
Make sure you study hard but not into the late-night hours to give your body the enough rest you need.
# | Question | Ans |
---|---|---|
1. |
Find n if 34n = 100112 A. 5 B. 6 C. 7 D. 8
Show Content
Detailed SolutionTo find n if 34n = 100112, convert both sides to base 10= 3n + 4 = (1 x 24) + (0 x23) + (0 x 22) + (1 x 21) + 1 x 2o = 3n + 4 = 16 + 0 + 0 + 2 + 1 3n + 4 = 19 3n = 15 n = 5 |
|
2. |
The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle? A. \(\frac{1}{25}\) B. \(\frac{1}{4}\) C. 4 D. 25
Show Content
Detailed Solution% error in Area = \(\frac{\pi(5.1)^2 - \pi(5)^2 \times 100%}{\pi(5)^2}\)= \(\frac{\pi 26.01 - 25 \times 100%}{\pi(25)}\) = \(\frac{1.01}{25}\) x 100% = 4.04% |
|
3. |
Evaluate \(\log_{b} a^{n}\) if \(b = a^{\frac{1}{n}}\). A. n2 B. n C. \(\frac{1}{n}\) D. \(\frac{1}{n^2}\)
Show Content
Detailed SolutionLet \(\log_{b} a^{n} = x\)\(\therefore a^{n} = b^{x}\) \(a^{n} = (a^{\frac{1}{n}})^{x}\) \(a^{n} = a^{\frac{x}{n}} \implies n = \frac{x}{n}\) \(x = n^{2}\) |
|
4. |
What is the value of x satisfying the equation \(\frac{4^{2x}}{4^{3x}}\) = 2? A. -2 B. -\(\frac{1}{2}\) C. \(\frac{1}{2}\) D. 2
Show Content
Detailed Solution\(\frac{4^{2x}}{4^{3x}}\) = 242x - 3x = 2 4-x = 2 (22)-x = 21 Equating coefficients: -2x = 1 x = -\(\frac{1}{2}\) |
|
5. |
Simplify \(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\) A. 4.0 x 10-3 B. 5.0 x 10-2 C. 2.0 x 10-1 D. 5.0 x 10-3
Show Content
Detailed Solution\(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\) = \(\frac{1.25 \times 2}{6.25}\) x 104 - 1 - 5\(\frac{2.50}{6.25}\) x 10-2 = \(\frac{250}{625}\) x 10-2 0.4 x 10-2 = 4.0 x 10-3 |
|
6. |
Simplify 5\(\sqrt{18}\) - 3\(\sqrt{72}\) + 4\(\sqrt{50}\) A. 17\(\sqrt{4}\) B. 4\(\sqrt{17}\) C. 17\(\sqrt{2}\) D. 12\(\sqrt{4}\)
Show Content
Detailed Solution5\(\sqrt{18}\) - 3\(\sqrt{72}\) + 4\(\sqrt{50}\) = 5(3\(\sqrt{2}\)) - 3(6\(\sqrt{2}\)) + 4(5\(\sqrt{2}\))15\(\sqrt{2}\) - 18\(\sqrt{2}\) + 20\(\sqrt{2}\) = 35\(\sqrt{2}\) - 18\(\sqrt{2}\) = 17\(\sqrt{2}\) |
|
7. |
If x = 3 - \(\sqrt{3}\), find x2 + \(\frac{36}{x^2}\) A. 9 B. 18 C. 24 D. 27
Show Content
Detailed Solutionx = 3 - \(\sqrt{3}\)x2 = (3 - \(\sqrt{3}\))2 = 9 + 3 - 6\(\sqrt{34}\) = 12 - 6\(\sqrt{3}\) = 6(2 - \(\sqrt{3}\)) ∴ x2 + \(\frac{36}{x^2}\) = 6(2 - \(\sqrt{3}\)) + \(\frac{36}{6(2 - \sqrt{3})}\) 6(2 - \(\sqrt{3}\)) + \(\frac{6}{2 - \sqrt{3}}\) = 6(- \(\sqrt{3}\)) + \(\frac{6(2 + \sqrt{3})}{(2 - \sqrt{3})(2 + \sqrt{3})}\) = 6(2 - \(\sqrt{3}\)) + \(\frac{6(2 + \sqrt{3})}{4 - 3}\) 6(2 - \(\sqrt{3}\)) + 6(2 + \(\sqrt{3}\)) = 12 + 12 = 24 |
|
8. |
If x = (all prime factors of 44) and y = (all prime factors of 60), the elements of X ∪ Y and X ∩ Y respectively are A. (2, 4, 3, 5, 11) and (4) B. (4, 3, 5, 11) and (3, 4) C. (2, 5, 11) and (2) D. (2, 3, 5, 11) and (2)
Show Content
Detailed Solutionx = (all prime factors of 44) and y = (all prime factors of 60)∴ x = (2, 11), y = (2, 3, 5) X ∪ Y = (2, 3, 5, 11), X ∩ Y = (2) |
|
9. |
If U = (1, 2, 3, 6, 7, 8, 9, 10) is the universal set. E = (10, 4, 6, 8, 10) and F = {x: 1x\(^{2}\) = 2\(^{6}, x is odd}. Find (E ∩ F)', where ' means the complement of a set. A. (0) B. U C. (8) D. \(\phi\)
Show Content
Detailed SolutionU = (1, 2, 3, 6, 7, 8, 9, 10)E = (10, 4, 6, 8, 10) F = (x : x\(^2\) = 2\(^6\), x is odd) ∴ F = \(\phi\) Since x\(^2\) = 2\(^6\) = 64 x = \(\pm 8\) which is even ∴ E ∩ F = \(\phi\) Since there are no common elements |
|
10. |
Factorize \(9p^2 - q^2 + 6qr - 9r^2\) A. (3p - 3q + r)(3p - q - 3r) B. (6p - 3q - 3r)(3p - q - 4r) C. (3p - q + 3r)(3p + q - 3r) D. (3q - p + 3r)(3q - p + 3r)
Show Content
Detailed Solution\(9p^{2} - q^{2} + 6qr - 9r^{2}\)= \(9p^{2} - (q^{2} - 6qr + 9r^{2})\) = \(9p^{2} - (q^{2} - 3qr - 3qr + 9r^{2})\) = \(9p^{2} - (q(q - 3r) - 3r(q - 3r))\) = \(9p^{2} - (q - 3r)^{2}\) = \((3p + (q - 3r))(3p - (q - 3r))\) = \((3p + q - 3r)(3p - q + 3r)\) |
Preview displays only 10 out of the 49 Questions