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If N varies directly as M and N = 8 when M = 20 find M when N = 7
In a class of 80 students, every students studies Economics or Geography or both. If 65 students study Economics and 50 study Geography, how many study both subjects?
Evaluate \(log_{10}5 + log_{10}20\)
Evaluate \((20_{three})^2 - (11_{three})^2\) in base three
Which of the following correctly expresses 48 as a product of prime factors?
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?
If P = \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\), then -2P is
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
Evaluate \(\begin{vmatrix}-1 & -1 & -1\\3 & 1 & -1\\1 & 2 & 1\end{vmatrix}\)
Find the integral values of x and y satisfying the inequality 3y + 5x \(\leq\) 15, given that y > 0, y < 3, and x > 0.
The histogram shows the distribution of passengers in taxis at a certain motor park. How many taxis have more than 4 passengers?
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?
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
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?
| ⊗ | 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
Triangle SPT is the solution of the linear inequalities
Find the range of \(\frac{1}{6}\), \(\frac{1}{3}\), \(\frac{3}{2}\), \(\frac{2}{3}\), \(\frac{8}{9}\), and \(\frac{4}{3}\)
Find the number of ways of selecting 8 subjects from 12 subjects for an examination