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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 6201. |
The volume of a sample of water is 2.5 milliliters (ml). The volume of this sample in liters (l) is (i) 2.5*10-3 L, 2.5*10-2 L, 2.5*102 L, 2.5*103 L. |
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Answer» The volume of a sample of water is 2.5 milliliters (ml). The volume of this sample in liters (l) is (i) 2.5*10-3 L, 2.5*10-2 L, 2.5*102 L, 2.5*103 L. Solution: |
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| 6202. |
What is the third term of a sequence that has the first term of 3 and a common ratio of 3? |
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Answer» What is the third term of a sequence that has the first term of 3 and a common ratio of 3? Solution: |
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| 6203. |
Let f(x) = 9x − 2 and g(x) = - x + 3. Find f(g(x)). - 9x - 2, - 9x + 5, - 9x + 25, - 9x + 27 |
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Answer» Let f(x) = 9x − 2 and g(x) = - x + 3. Find f(g(x)). - 9x - 2, - 9x + 5, - 9x + 25, - 9x + 27 Solution: |
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| 6204. |
Choose the correct classification of 5x + 3x4 - 7x3 + 10 by number of terms and by degree. Third degree polynomial Fourth degree polynomial Sixth degree polynomial First degree binomial |
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Answer» Choose the correct classification of 5x + 3x4- 7x3+ 10 by number of terms and by degree. Solution: |
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| 6205. |
Determine whether the geometric series is convergent or divergent. 9 + 8 + 64/9 + 512/81 +…. If it is convergent, find its sum? |
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Answer» Determine whether the geometric series is convergent or divergent. 9 + 8 + 64/9 + 512/81 +…. If it is convergent, find its sum? Solution: |
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| 6206. |
What is the quotient (125 - 8x3) ÷ (25 + 10x + 4x2)? -2x + 5,2x - 5,-2x - 5,2x + 5 |
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Answer» What is the quotient (125 - 8x3) ÷ (25 + 10x + 4x2)? Solution: |
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| 6207. |
What is the greatest common factor of the terms in the polynomial 4x4 - 32x3 - 60x2? |
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Answer» What is the greatest common factor of the terms in the polynomial 4x4 - 32x3 - 60x2? Solution: |
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| 6208. |
Find the area of the triangle:A= 51°, b = 11, c = 7. |
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Answer» The area of the triangle with the given dimensions is equal to 30 sq. units. Triangles are 3-sided polygons that have many applications and interesting properties. They are one of the strongest shapes architecturally. |
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| 6209. |
The number which best completes the sequence below is: 1 2 4 3 6 8 7 14 16? |
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Answer» The number which best completes the sequence below is: 1 2 4 3 6 8 7 14 16? Solution: |
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| 6210. |
What does ellipse mean? |
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Answer» Basically, an ellipse is a part of the conic segment which is the intersection of a cone with a plane and it must not intersect the cone's base. Ellipse is basically the locus of a plane point in such a way that its distance from a fixed point has a constant ratio of e to its distance from a fixed line (less than 1). We will define the ellipse using its graph. |
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| 6211. |
One of the solutions to x2 - 2x - 15 = 0 is x = -3. What is the other solution? x = -5,x = -1,x = 1,x = 5 |
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Answer» One of the solutions to x2- 2x - 15 = 0 is x = -3. What is the other solution? Solution: |
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| 6212. |
Find an explicit rule for the nth term of the sequence. 3, -12, 48, -192, … |
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Answer» Find an explicit rule for the nth term of the sequence. 3, -12, 48, -192, … Solution: |
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| 6213. |
What is 2 1/4 as a decimal? |
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Answer» 2 1/4 to decimal is equal to 2.25 An example of a decimal number is the number 1.66. The numbers ".66" are the parts of a whole and are the approximate equivalent of the fraction 83/50. |
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| 6214. |
What is 11% as a fraction in simplest form? |
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Answer» The value of 11% as a fraction in the simplest form is 11/100. To writea fraction in its simplest form means that the numerator and denominatorcan no longer be divided by the same whole number exactly or evenly. |
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| 6215. |
Express 5 × 1/3 as a fraction. |
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Answer» The required fraction will be 5 / 3. A fraction is a ratio of numbers with an upper value denoting numerator, and a lower one denoting denominator. |
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| 6216. |
Name the angles in the given figure. |
| Answer» The names of theangles are∠A or∠BAD,∠B or∠ABC,∠C or∠BCD and∠D or∠ADC. | |
| 6217. |
What is the equation of a horizontal line passing through the point (-7, 5)? |
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Answer» What is the equation of a horizontal line passing through the point (-7, 5)? Solution: |
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| 6218. |
Which is a solution to (x - 3)(x + 9) = -27? x = - 9,x = - 3,x = 0,x = 6 |
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Answer» Which is a solution to (x - 3)(x + 9) = - 27? Solution: |
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| 6219. |
What is half of a diameter of a circle called? |
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Answer» Half of a diameter of a circle is called the radius. We will use the definition of the radius of the circle to answer this question. |
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| 6220. |
Find the linear approximation of the function f(x) = 1 - x at a = 0 |
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Answer» Find the linear approximation of the function f(x) = 1 - x at a = 0 Solution: |
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| 6221. |
For which of the following functions f is f(x) = f(1 -x) for all x? (i) f(x)= 1-x (ii) f(x)= 1-x2 (iii) f(x)= x2-(1-x)2 (iv) f(x)= x2(1-x)2 (v) f(x)= x/(1-x) |
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Answer» For which of the following functions f is f(x) = f(1 -x) for all x? (i) f(x)= 1-x (ii) f(x)= 1-x2 (iii) f(x)= x2-(1-x)2 (iv) f(x)= x2(1-x)2 (v) f(x)= x/(1-x) Solution: |
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| 6222. |
This is the number part when a number and a variable are multiplied together in a term is called _______ |
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Answer» Acoefficient is the number part when a number and a variable are multiplied together in a term. A coefficient refers to a number or quantity placed before a variable. |
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| 6223. |
What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4? |
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Answer» What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4? Solution: |
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| 6224. |
What is 0.05as a percent? |
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Answer» 0.05as a percentis equal to 5 % We have to convert a decimal number to percent. |
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| 6225. |
What is the additive inverse of the complex number -8 + 3i? |
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Answer» What is the additive inverse of the complex number -8 + 3i? Solution: |
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| 6226. |
Which of the following is the solution to the equation 25(z - 2) = 125? |
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Answer» Which of the following is the solution to the equation 25(z - 2) = 125? Solution: |
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| 6227. |
What is 20of 120? |
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Answer» 20 of 120is 2400. Multiplication, also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 6228. |
The density of a fish tank is 0.4 fish over feet cubed. There are 12 fish in the tank. What is the volume of the tank? |
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Answer» The density of a fish tank is 0.4 fish over feet cubed. There are 12 fish in the tank. What is the volume of the tank? Solution: |
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| 6229. |
Prove that 5 + 3√2 is an irrational number. |
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Answer» Hence proved that 5 + 3√2 is an irrational number. Rational numbers are integers that are expressed in the form of p / q where p and q are both co-prime numbers and q is non zero. |
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| 6230. |
Suppose g is an even function and let h = f.g. Is h always an even function? |
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Answer» Suppose g is an even function and let h = f.g. Is h always an even function? Solution: |
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| 6231. |
What is 5d2 + 4d - 3 less 2d2 -3d + 4? |
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Answer» What is 5d2+ 4d - 3 less 2d2- 3d + 4? Solution: |
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| 6232. |
Read the numbers and decide what the next number should be. 256, 196, 144, 100, 64, 36, 16,…? |
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Answer» Read the numbers and decide what the next number should be. 256, 196, 144, 100, 64, 36, 16,…? Solution: |
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| 6233. |
How to find the area of a circle with the radius? |
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Answer» The Area of a circle with the radius is given by the formula πr2. The area of a circle is the amount of space enclosed within the boundary of a circle. |
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| 6234. |
The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the triangle is 30cm? |
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Answer» The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the triangle is 30cm? Solution: |
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| 6235. |
A lateral surface area of a cube is 256 m2. Find its volume. |
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Answer» Ifthe lateral surface area of a cube is 256 m2, then its volume is 512 cubic meters. Acubeis a three-dimensional shape that is made up of 6 congruent square faces. |
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| 6236. |
What is 10minutes in decimal? |
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Answer» The time of 10 minutes written as a fraction of an hour in decimal form is equal to0.167 An example of a decimal number is the number 1.66. Here 1 is the whole number and 66 is the decimal part. |
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| 6237. |
Using the following equation, find the center and radius: x2 + 2x + y2 + 4y = 20 |
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Answer» Using the following equation, find the center and radius: x2 + 2x + y2 + 4y = 20 Solution: |
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| 6238. |
Name the binomial you can multiply by (x + 9) to get the product x2 + 5x - 36? 4 - x,x + 6,x - 4,x - 6 |
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Answer» Name the binomial you can multiply by (x + 9) to get the product x2+ 5x - 36? Solution: |
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| 6239. |
If f(x) = 3 - 2x and g(x) = 1/x + 5, what is the value of (f/g)(8)? -169,-1,13,104 |
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Answer» If f(x) = 3 - 2x and g(x) = 1/x + 5, what is the value of (f/g)(8)? Solution: |
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| 6240. |
The smallest 3-digit prime number is: (1) 100 (2) 101 (3) 103 (4) 109 |
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Answer» 101 is the smallest 3-digit prime number. Prime numbersare the numbers that have only two factors, that are, 1 and the number itself. |
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| 6241. |
The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle? |
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Answer» The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle? Solution: |
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| 6242. |
Solve x2 - 8x = 3 by completing the square. Which is the solution set of the equation? |
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Answer» Solve x2- 8x = 3 by completing the square. Which is the solution set of the equation? Solution: |
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| 6243. |
How to express a percent as a fraction? |
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Answer» To convert a percent into a fraction, we need to replace the percentage sign with 1 / 100. Fractions are generally converted into percents to make the comparison more understandable and quick to grasp. |
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| 6244. |
Find an equation for the nth term of the arithmetic sequence. a10 = 32, a12 = 106 |
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Answer» Find an equation for the nth term of the arithmetic sequence. a10 = 32, a12 = 106 Solution: |
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| 6245. |
Which is the equation of the line that contains points (8, 10) and (-4, 2)? y - 8 = 3/2 (x - 10 ) y - 10 = 3/2 (x - 8) y - 10 = 2/3 (x - 8) y - 8 = 2/3 (x - 10) |
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Answer» Which is the equation of the line that contains points (8, 10) and (-4, 2)? Solution: |
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| 6246. |
The endpoints of the diameter of a circle are (-7, 3) and (5, 1). What is the center of the circle? |
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Answer» The endpoints of the diameter of a circle are (-7, 3) and (5, 1). What is the center of the circle? Solution: |
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| 6247. |
What is 3/4of 12? |
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Answer» 3/4of 12is 9 Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. ' Of' is commonly used in word problems and simply means multiplication. |
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| 6248. |
What is80 of 40? |
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Answer» 80 of 40is 3200. Multiplication, also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 6249. |
Which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10? -10, -12, -14, -16, -18, … -2, 8, 18, 28, 38, … 8, 18, 28, 38, 48, … 10, 8, 6, 4, 2, … |
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Answer» Which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10? Solution: |
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| 6250. |
What is the solution to the linear equation 6k + 10.5 = 3k + 12? k = 0.5, k = 2, k = 7.3, k = 9 |
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Answer» What is the solution to the linear equation 6k + 10.5 = 3k + 12? k = 0.5, k = 2, k = 7.3, k = 9 Solution: |
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