(5y - a) (y + 3a)
(5y + a) (y - 3a)
5y2 + a (2y - 3a)
(y - a) (5y + 3a)
(y + a) (5y - 3a)
Correct answer is E
5y 2 + 5ay - 3ay - 3a 2
5y(y + a) - 3a(y + a)
(y + a) (5y - 3a)
Find the product xy if, x, 3/2, 6/7, y are in G.P
24/49
4/7
9/7
7/4
21/8
Correct answer is C
In GP, when you are given three consecutive terms, say f, g, h, then
\(f \times h = g^2\)
Given: \(x, \frac{3}{2}, \frac{6}{7}, y\), then
\(\frac{6x}{7} = (\frac{3}{2})^2 \implies \frac{6x}{7} = \frac{9}{4} ... (i)\)
Also, \(\frac{3y}{2} = (\frac{6}{7})^2 \implies \frac{3y}{2} = \frac{36}{49} ... (ii)\)
From \(\frac{6x}{7} = \frac{9}{4} \implies x = \frac{9 \times 7}{6 \times 4}\)
\(x = \frac{21}{8}\)
Also, \(\frac{3y}{2} = \frac{36}{49} \implies y = \frac{2 \times 36}{3 \times 49}\)
= \(\frac{24}{49}\)
\(xy = \frac{21}{8} \times \frac{24}{49} = \frac{9}{7}\)
400m
800m
1500m
1600m
1700m
Correct answer is D
From the diagram, \(\sin 30 = \frac{800}{x}\)
\(x = \frac{800}{\sin 30} \)
= \(\frac{800}{0.5} \)
= 1600 m
3.78m
3.80m
4.18m
4.20m
4.788m
Correct answer is D
Let the actual length of the room = y m
\(\therefore \frac{y - 3.99}{y} \times 100% = 5%\)
\(100(y - 3.99) = 5y \implies 100y - 399 = 5y\)
\(100y - 5y = 399 \implies y = \frac{399}{95}\)
y = 4.2 m
If log\(_{10}\) a = 4; what is a?
0.4
40
400
1000
10000
Correct answer is E
log\(_{10}\) a = 4
a = 10\(^4\)
= 10000
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