Year :
2009
Title :
Mathematics (Core)
Exam :
JAMB Exam
Paper 1 | Objectives
41 - 50 of 50 Questions
| # | Question | Ans |
|---|---|---|
| 41. |
5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k? A. 4 B. 3 C. 2 D. 1 |
|
| 42. |
What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2? A. 0.5 B. 1.0 C. 1.5 D. 2.0 Detailed Solution8 = 7x+1 7x = 8-1 7x = 7 x = 1 = 0.5 There is an explanation video available below. |
|
| 43. |
In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 man and 1 woman must be included? A. 15 B. 28 C. 30 D. 45 Detailed Solution
= \((10 \times 3) + (5 \times 3)\) = 45. There is an explanation video available below. |
|
| 44. |
In how many ways can 9 people be seated if 3 chairs are available? A. 720 B. 504 C. 336 D. 210 |
|
| 45. |
 The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5? A. \(\frac{3}{5}\) B. \(\frac{2}{5}\) C. \(\frac{7}{20}\) D. \(\frac{1}{5}\) |
|
| 46. |
What value of x will make the function x(4 - x) a maximum? A. 4 B. 3 C. 2 D. 1 Detailed Solutionx(4 - x)4x - x2 \(\frac{dy}{dx}\) = 4 - 2x \(\frac{dy}{dx}\) = 0 2x = 4 x = \(\frac{4}{2}\) = 2 There is an explanation video available below. |
|
| 47. |
 The histogram above represents the number of candidates that sat for Mathematics examination in a school. How many candidate scored more than 50 marks? A. 80 B. 95 C. 100 D. 115 Detailed Solution\(\begin{array}{c|c} Mark & No. of Candidate\\\hline 60 & 40\\ 70 & 25\\ 80 & 15\\ 90 & 10 \\100 & 5 \\\hline & 95 \end{array}\)There is an explanation video available below. |
|
| 48. |
 The cumulative frequency curve above shows the distribution of the scores of 50 students in an examination. Find the 36th percentile scores? A. 18% B. 28% C. 36% D. 50% Detailed Solutionthe 36th percentile i.e. 36% of the total frequency of 50.\(\frac{36}{100}\) \(\times\) 50 = 18 = From the graph, 18 on the vertical axis corresponds to28 on the horizontal axis. \(\therefore\) P\(_{36}\) = 28% There is an explanation video available below. |
|
| 49. |
Subtract 16418\(_9\) from 18630\(_9\). A. 1121\(_9\) B. 2112\(_9\) C. 2113\(_9\) D. 2211\(_9\) Detailed Solution18630\(_9\) - 16418\(_9\) = 2211\(_9\)There is an explanation video available below. |
|
| 50. |
Solve \(5^{2(x - 1)} \times 5^{x + 1} = 0.04\) A. \(\frac{1}{3}\) B. \(\frac{1}{4}\) C. \(-\frac{1}{5}\) D. \(-\frac{1}{3}\) Detailed Solution\(5^{2(x - 1)} \times 5^{x + 1} = 0.04\)\(5^{2x - 2} \times 5^{x + 1} = 5^{-2}\) \(2x - 2 + x + 1 = -2\) \(3x - 1 = -2 \implies 3x = -2 + 1 = -1\) \(x = -\frac{1}{3}\) There is an explanation video available below. |
| 41. |
5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k? A. 4 B. 3 C. 2 D. 1 |
|
| 42. |
What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2? A. 0.5 B. 1.0 C. 1.5 D. 2.0 Detailed Solution8 = 7x+1 7x = 8-1 7x = 7 x = 1 = 0.5 There is an explanation video available below. |
|
| 43. |
In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 man and 1 woman must be included? A. 15 B. 28 C. 30 D. 45 Detailed Solution
= \((10 \times 3) + (5 \times 3)\) = 45. There is an explanation video available below. |
|
| 44. |
In how many ways can 9 people be seated if 3 chairs are available? A. 720 B. 504 C. 336 D. 210 |
|
| 45. |
The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5? A. \(\frac{3}{5}\) B. \(\frac{2}{5}\) C. \(\frac{7}{20}\) D. \(\frac{1}{5}\) |
| 46. |
What value of x will make the function x(4 - x) a maximum? A. 4 B. 3 C. 2 D. 1 Detailed Solutionx(4 - x)4x - x2 \(\frac{dy}{dx}\) = 4 - 2x \(\frac{dy}{dx}\) = 0 2x = 4 x = \(\frac{4}{2}\) = 2 There is an explanation video available below. |
|
| 47. |
The histogram above represents the number of candidates that sat for Mathematics examination in a school. How many candidate scored more than 50 marks? A. 80 B. 95 C. 100 D. 115 Detailed Solution\(\begin{array}{c|c} Mark & No. of Candidate\\\hline 60 & 40\\ 70 & 25\\ 80 & 15\\ 90 & 10 \\100 & 5 \\\hline & 95 \end{array}\)There is an explanation video available below. |
|
| 48. |
The cumulative frequency curve above shows the distribution of the scores of 50 students in an examination. Find the 36th percentile scores? A. 18% B. 28% C. 36% D. 50% Detailed Solutionthe 36th percentile i.e. 36% of the total frequency of 50.\(\frac{36}{100}\) \(\times\) 50 = 18 = From the graph, 18 on the vertical axis corresponds to28 on the horizontal axis. \(\therefore\) P\(_{36}\) = 28% There is an explanation video available below. |
|
| 49. |
Subtract 16418\(_9\) from 18630\(_9\). A. 1121\(_9\) B. 2112\(_9\) C. 2113\(_9\) D. 2211\(_9\) Detailed Solution18630\(_9\) - 16418\(_9\) = 2211\(_9\)There is an explanation video available below. |
|
| 50. |
Solve \(5^{2(x - 1)} \times 5^{x + 1} = 0.04\) A. \(\frac{1}{3}\) B. \(\frac{1}{4}\) C. \(-\frac{1}{5}\) D. \(-\frac{1}{3}\) Detailed Solution\(5^{2(x - 1)} \times 5^{x + 1} = 0.04\)\(5^{2x - 2} \times 5^{x + 1} = 5^{-2}\) \(2x - 2 + x + 1 = -2\) \(3x - 1 = -2 \implies 3x = -2 + 1 = -1\) \(x = -\frac{1}{3}\) There is an explanation video available below. |