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Solve for
x
if $e^{\ln (2x - 1)} = 5$.
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More Old MCQ
Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
Find the probability that a person tossing three coins will get either all heads or all tails for the second time on the fifth toss.
Let $a$, $b$ be the lengths of the two legs of a right triangle, and $c$ be the length of its hypotenuse. What is the length of the altitude to the hypotenuse?
A cat takes 4 leaps to a dog's 3; but 2 of the dog's leaps are equivalent to 3 of the cat’s. The cat has a start of 50 leaps. How many leaps must the dog take to catch the cat?
The drainage from a community during a storm is a normal random variable estimated to have a mean of 1.2 million gallons per day (mgd) and a standard deviation of 0.4 mgd.
Find $\displaystyle \sum_{n = 1}^5 S_n$ where $S_n = 2/n$.
A circle having a radius of 18 cm is cut by a chord 5 cm from the center. What is the area of the of the smaller segment?
Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.
I was walking along the road at 6kph when a car dashed past me and only missed me by a few inches.
Solve for x: log_3 67 = 2x.
A pipe can alone fill a tank in 5 hours, while a drain could do the contrary in 12 hours.
If the population of a city increases by 10% each year, during which year will the population doubled?
A hollow glass bowl in the shape of a sphere of radius 4” is filled with water to a depth of 3”. If the water flows out through a small hole in the bottom so that the level drops 2”, how much water has escaped in in^3?
The stability of a floating body is determined by the relative position of the center of gravity of the floating body and its metacenter.
Find the value of $x = \sin^2 \varphi - \cos^2 \varphi$ if $\varphi$ is $\pi / 4$ or $45^\circ$.
A circle with radius 6 has half its area removed by cutting off a border of uniform width. Find the width of the border.
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