The histogram shows the distribution of passengers in taxis at a certain motor park. How many taxis have more than 4 passengers?
- A. 17
- B. 16
- C. 15
- D. 14
The graph shows the cumulative frequency of the distribution of masses of fertilizer for 48 workers in one institution. Which of the following gives the inter-quartile range?
- A. \(\frac{1}{2}(Q_3 - Q_1)\)
- B. Q3 - Q2
- C. Q3 - Q2
- D. Q3 - Q1
The bar chart shows different colours of cars passing a particular point of a certain street in two minutes. What fraction of the cars is yellow
- A. \(\frac{1}{5}\)
- B. \(\frac{2}{25}\)
- C. \(\frac{4}{15}\)
- D. \(\frac{3}{25}\)
Find the value of \(\theta\) in the diagram
- A. 60o
- B. 100o
- C. 120o
- D. 30o
In the figure PQR a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, < SRQ is 75º and < QPT IS 25º. Calculate the value of < RST
- A. 50o
- B. 25o
- C. 55o
- D. 45o
A man saves N 100.00 in his first year of work and each year saves N 20.00 more in the preceding year. In how many years will he save N 5800.00?
- A. 58 years
- B. 100 years.
- C. 20 years
- D. 29 years
If P = \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\), then -2P is
- A. \(\begin{pmatrix}-6 & -4 & 2\\-10 & -2 & -12\\-14 & -10 & -2\end{pmatrix}\)
- B. \(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & -12\\-14 & -10 & 2\end{pmatrix}\)
- C. \(\begin{pmatrix}-6 & 4 & -8\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\)
- D. \(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & 6\\-14 & 5 & -1\end{pmatrix}\)
Given the matrix K = \(\begin{pmatrix}2 & 1\\3 & 4\end{pmatrix}\), the matrix K\(^2\) + K + I, where I is the 2 x 2 identity matrix, is
- A. \(\begin{pmatrix}6 & 3\\3 & 20\end{pmatrix}\)
- B. \(\begin{pmatrix}9 & 8\\22 & 23\end{pmatrix}\)
- C. \(\begin{pmatrix}10 & 7\\21 & 24\end{pmatrix}\)
- D. \(\begin{pmatrix}7 & 2\\12 & 21\end{pmatrix}\)
Evaluate \(\begin{vmatrix}-1 & -1 & -1\\3 & 1 & -1\\1 & 2 & 1\end{vmatrix}\)
- A. -4
- B. -12
- C. 4
- D. -2
Find the integral values of x and y satisfying the inequality 3y + 5x \(\leq\) 15, given that y > 0, y < 3, and x > 0.
- A. ( 1, 1), (1, 2), (2, 1)
- B. ( 1, 1), (1, 3), (2, 2)
- C. ( 1, 1), (1, 2) (1, 3)
- D. ( 1, 1), (1, 3), (2, 1)
The bar chart above shows different colours of passing a particular point of a certain street in two minutes. What fraction of the total number of cars is yellow?
- A. 3/25
- B. 2/25
- C. 1/5
- D. 4/15
| ⊗ | k | l | m |
| k | l | m | k |
| l | m | k | l |
| m | k | l | m |
The identity element with respect to the multiplication shown in the table above is
- A. o
- B. m
- C. l
- D. k
Triangle SPT is the solution of the linear inequalities
- A. 2y - x - 2 ≤ 0, y + 2x + 2 ≥ 0, -2 ≤ x ≤ - 1
- B. -2 ≤ x ≤ 2, y ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0
- C. 2y - x - 2 ≤ 0, y + 2x + 2 ≤ 0, y ≥ 0, x ≤ 0
- D. 2y - x - 2 ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0
Find the range of \(\frac{1}{6}\), \(\frac{1}{3}\), \(\frac{3}{2}\), \(\frac{2}{3}\), \(\frac{8}{9}\), and \(\frac{4}{3}\)
- A. 3/4
- B. 5/6
- C. 7/6
- D. 4/3
Find the number of ways of selecting 8 subjects from 12 subjects for an examination
- A. 490
- B. 495
- C. 496
- D. 498
Teams P and Q are involved in a game of football. What is the probability that the game ends in a draw?
- A. 2/3
- B. 1/2
- C. 1/3
- D. 1/4
Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. The mean score is
- A. 7.0
- B. 8.7
- C. 9.5
- D. 11.0
Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. Find the square of the mode.
- A. 49
- B. 121
- C. 25
- D. 64
Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.
- A. square of sides p
- B. square of sides 2p
- C. square of sides (p/2)
- D. square of sides (p/4)