The third of geometric progression (G.P) is 10 and the sixth term is 80. Find the common ratio.
2
3
4
8
Correct answer is A
\(T_{n} = ar^{n - 1}\) ( Geometric Progression)
\(T_{3} = ar^{3 - 1} = ar^{2} = 10 .... (1)\)
\(T_{6} = ar^{6 - 1} = ar^{5} = 80 .....(2)\)
Divide (2) by (1)
\(r^{5 - 2} = r^{3} = 8 \)
\(r = \sqrt[3]{8} = 2\)
Rent owing by a business is shown in the
Trading account
Trial balance
Balance sheet
Cash book
Correct answer is C
No explanation has been provided for this answer.
{-1, 5, 13}
{5, 13, 49}
{1, 2, 3, 6}
{-1, 5, 13, 49}
Correct answer is D
\(P = {x : \text{x is a factor of 6}} \implies P = {1, 2, 3, 6}\)
\(g(x) = x^{2} + 3x - 5\)
\(g(1) = 1^{2} + 3(1) - 5 = 1 + 3 - 5 = -1\)
\(g(2) = 2^{2} + 3(2) - 5 = 4 + 6 - 5 = 5\)
\(g(3) = 3^{2} + 3(3) - 5 = 9 + 9 - 5 = 13\)
\(g(6) = 6^{2} + 3(6) - 5 = 36 + 18 - 5 = 49\)
\(\therefore Range(g(x)) = {-1, 5, 13, 49}\)
If \(\begin{vmatrix} 3 & x \\ 2 & x - 2 \end{vmatrix} = -2\), find the value of x.
-8
4
-4
8
Correct answer is A
\(\begin{vmatrix} 3 & x \\ 2 & x - 2 \end{vmatrix} = 3(x - 2) - 2x = -2\)
\(3x - 6 - 2x = -2 \implies x - 6 = -2\)
\(x = -2 + 6 = 4\)
The cost of raw materials consumed is determined in the Manufacturing Account as
Opening stock plus purchases less closing stock
Purchases plus closing stock less opening stock
Cost of materials available plus closing stock
Cost of materials available less opening stock
Correct answer is A
No explanation has been provided for this answer.