List of practice Questions

The politician's speech was filled with ..............statements, making it difficult for fact-checkers to verify his claims.
The ..............between the two scientists was evident in their collaborative work and mutual respect.
Despite his ..............demeanor, the professor was highly regarded for his expertise and knowledge in the field.
The scientist was known for her ..............., always questioning the status quo and advocating for innovative solutions.
The new policy was ...............; it not only addressed the immediate issue but also provided long-term solutions.
Despite the ..............of the proposal, the board decided to proceed, recognizing its potential for substantial future benefits.
The author's latest novel is a ..............blend of mystery and romance, captivating readers with its unpredictable plot twists.
In an effort to ..............the impact of climate change, scientists are developing new technologies to reduce carbon emissions and promote renewable energy sources.
If \( A = \begin{bmatrix} 6 & -2 & 2 \\ -2 & 3 & -1 \\ 2 & -1 & 3 \end{bmatrix} \), then eigen value and its corresponding eigen vector
If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and \( a + b + c = 14 \), then the value of \( a \) is:
If the length of the diagonal and the area of a rectangle are 25 m and 168 m\(^2\), respectively, then the longer side of the rectangle is:
The weights of 5 dogs are 10, 12, 15, 15, and 20 pounds. What is the median weight?
If 60% of a class of 50 students passed a test, how many students did not pass?
A survey showed that 40% of respondents prefer coffee, 35% prefer tea, and the rest prefer neither. If 200 people responded, how many prefer neither?
A store sells apples in bags of 6. If a customer buys 4 bags, what is the standard deviation of the number of apples bought?
If the probability of rain on any given day is 0.3, what is the probability that it will rain exactly 2 out of the next 3 days?
For what value of \( k \) will the system of equations \( 2x + 3y = 12 \) and \( 4x + ky = 24 \) have no solution?
A rectangle has a width of 6 units and a perimeter of 32 units. What is the length of the rectangle?
In a circle with a radius of 10, what is the area of a sector with a central angle of 72 degrees?
A right triangle has legs of lengths 8 and 15. What is the length of the hypotenuse?
What is the volume of a cube with a surface area of 54 square units?
In a parallelogram, if one angle measures 70 degrees, what is the measure of an adjacent angle?
A certain job pays \(\$\)24 per hour for the first 40 hours worked in a week and 1.5 times that rate for any additional hours. If an employee earns \(\$\)1,260 in one week, how many total hours did they work?
Solve for \( x \): \[ \frac{2}{x} + \frac{3}{x} = \frac{10}{15} \]
If \( x^2 - 9 = 16 \), what are the values of \( x \)?