Year :
2015
Title :
Mathematics (Core)
Exam :
JAMB Exam
Paper 1 | Objectives
41 - 50 of 62 Questions
| # | Question | Ans |
|---|---|---|
| 41. |
100112 + *****2 + 111002 + 1012 = 10011112 A. 11112 B. 110112 C. 101112 D. 110012 |
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| 42. |
Evaluate log5(\( y^2x^5 ÷ 125b½) \) A. 2 log5y + 5log5 y2 − 3 B. log5 y2 + 5log5 x + 3 C. 25logy 5 + 3 D. 2log5y + 5log5x − ½ log5b −3 Detailed Solution\(\log_{5}(y^{2} x^{5} \div 125b^{\frac{1}{2}})\)= \(\log_{5} y^{2} + \log_{5} x^{5} - [\log_{5} 125 + \log_{5} b^{\frac{1}{2}}\) = \(2\log_{5} y + 5\log_{5} x - \log_{5} 5^{3} - \frac{1}{2} \log_{5} b\) = \(2\log_{5} y + 5\log_{5} x - 3 - \frac{1}{2}\log_{5} b\) There is an explanation video available below. |
|
| 43. |
Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx A. \( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \) B. \( \frac{5x^4}{4} + \frac{7x^3}{3} - x^2 + 5x + C \) C. \( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \) D. \( \frac{2x^2}{3} + \frac{x}{5} - C \) Detailed Solution\(\int (5x^{3} + 7x^{2} - 2x + 5) \mathrm d x\)= \(\frac{5x^{4}}{4} + \frac{7x^{3}}{3} - \frac{2x^{2}}{2} + 5x + c\) = \(\frac{5x^{4}}{4} + \frac{7x^{3}}{3} - x^{2} + 5x + c\) There is an explanation video available below. |
|
| 44. |
Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14) A. 17.1cm2 B. 27.2cm2 C. 47.1cm2 D. 37.3cm2 |
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| 45. |
Simplify \( \frac{1}{(x + 1)} + \frac{1}{(x − 1)} \) A. 2x/(x + 1)(x−3) B. 2x/(x + 1)(x−1) C. 2x/(x + 1)2 D. 2x(x+1)2 Detailed Solution[1 ÷ (x+1)] + [1 ÷ (x − 1)]= ((x − 1) + [(x + 1)) ÷ (x+1)(x − 1)] Using the L.C.M. = (x − 1 + x + 1) ÷ (x + 1)(x − 1) = (x + 2 − 1 + 1) ÷ (x + 1)(x − 1) = 2x ÷ (x + 1)(x − 1) =2x ÷ (x + 1)(x − 1) There is an explanation video available below. |
|
| 46. |
The area of a circle of radius 4cm is equal to (Take π = 3.142 ) A. 10.3cm2 B. 15.7cm2 C. 50.3cm2 D. 17.4cm2 |
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| 47. |
The area of an ellipse is 132cm2.The length of its major axis is 14cm.Find the length of it minor axis A. 10.5cm B. 5cm C. 10cm D. 3cm |
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| 48. |
The volume of a cone (s) of height 6cm and base radius 5cm is A. 157cm3 B. 155cm3 C. 175cm3 D. 145cm3 |
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| 49. |
The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B? A. 1/2 B. 1/3 C. 2/5 D. 3/4 |
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| 50. |
Given that Z = {1,2,4,5} what is the power of set Z? A. 16 B. 8 C. 10 D. 12 |
| 41. |
100112 + *****2 + 111002 + 1012 = 10011112 A. 11112 B. 110112 C. 101112 D. 110012 |
|
| 42. |
Evaluate log5(\( y^2x^5 ÷ 125b½) \) A. 2 log5y + 5log5 y2 − 3 B. log5 y2 + 5log5 x + 3 C. 25logy 5 + 3 D. 2log5y + 5log5x − ½ log5b −3 Detailed Solution\(\log_{5}(y^{2} x^{5} \div 125b^{\frac{1}{2}})\)= \(\log_{5} y^{2} + \log_{5} x^{5} - [\log_{5} 125 + \log_{5} b^{\frac{1}{2}}\) = \(2\log_{5} y + 5\log_{5} x - \log_{5} 5^{3} - \frac{1}{2} \log_{5} b\) = \(2\log_{5} y + 5\log_{5} x - 3 - \frac{1}{2}\log_{5} b\) There is an explanation video available below. |
|
| 43. |
Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx A. \( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \) B. \( \frac{5x^4}{4} + \frac{7x^3}{3} - x^2 + 5x + C \) C. \( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \) D. \( \frac{2x^2}{3} + \frac{x}{5} - C \) Detailed Solution\(\int (5x^{3} + 7x^{2} - 2x + 5) \mathrm d x\)= \(\frac{5x^{4}}{4} + \frac{7x^{3}}{3} - \frac{2x^{2}}{2} + 5x + c\) = \(\frac{5x^{4}}{4} + \frac{7x^{3}}{3} - x^{2} + 5x + c\) There is an explanation video available below. |
|
| 44. |
Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14) A. 17.1cm2 B. 27.2cm2 C. 47.1cm2 D. 37.3cm2 |
|
| 45. |
Simplify \( \frac{1}{(x + 1)} + \frac{1}{(x − 1)} \) A. 2x/(x + 1)(x−3) B. 2x/(x + 1)(x−1) C. 2x/(x + 1)2 D. 2x(x+1)2 Detailed Solution[1 ÷ (x+1)] + [1 ÷ (x − 1)]= ((x − 1) + [(x + 1)) ÷ (x+1)(x − 1)] Using the L.C.M. = (x − 1 + x + 1) ÷ (x + 1)(x − 1) = (x + 2 − 1 + 1) ÷ (x + 1)(x − 1) = 2x ÷ (x + 1)(x − 1) =2x ÷ (x + 1)(x − 1) There is an explanation video available below. |
| 46. |
The area of a circle of radius 4cm is equal to (Take π = 3.142 ) A. 10.3cm2 B. 15.7cm2 C. 50.3cm2 D. 17.4cm2 |
|
| 47. |
The area of an ellipse is 132cm2.The length of its major axis is 14cm.Find the length of it minor axis A. 10.5cm B. 5cm C. 10cm D. 3cm |
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| 48. |
The volume of a cone (s) of height 6cm and base radius 5cm is A. 157cm3 B. 155cm3 C. 175cm3 D. 145cm3 |
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| 49. |
The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B? A. 1/2 B. 1/3 C. 2/5 D. 3/4 |
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| 50. |
Given that Z = {1,2,4,5} what is the power of set Z? A. 16 B. 8 C. 10 D. 12 |