Which of the following pairs of inequalities is represented on the number line?
x<−2andx≥1
x≥−2andx>1
x≤−2andx≥1
x<−2andx>1
Correct answer is C
No explanation has been provided for this answer.
2cm
5cm
8cm
15cm
Correct answer is B
Volume of water after 9 seconds = 5π×9=45πcm3
Volume of cylinder = πr2h
∴
\pi \times 3^2 \times h = 45\pi
\implies 9h = 45
h = 5 cm
(where h = height of the water after 9 secs)
24cm
36cm
72cm
144cm
Correct answer is B
Area = \frac{1}{2} \times base \times height
height : base = 1 : 3
\implies base = 3 \times height
Let height = h;
Area = \frac{1}{2} \times 3h \times h = 216
3h^2 = 216 \times 2 = 432
h^2 = \frac{432}{3} = 144
h = \sqrt{144} = 12.0 cm
\therefore base = 3 \times 12 = 36 cm
A car travel at x km per hour for 1 hour and at y km per hour for 2 hours. Find its average speed
\frac{2x + 2y}{3}kmh^{-1}
\frac{x + y}{3}kmh^{-1}
\frac{x + 2y}{3}kmh^{-1}
\frac{2x + y}{3}kmh^{-1}
Correct answer is C
Travelled x km/h for 1 hour \therefore traveled x km in the first hour.
Traveled y km/h for 2 hours \therefore traveled 2y km in the next 2 hours.
Average speed = \frac{x + 2y}{1 + 2}
= \frac{x + 2y}{3} kmh^{-1}
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