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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.
| 3151. |
Given the equation 5x + 23 = -2x - 12, which order of operations completely solves for x Subtract 5x, then subtract 23, lastly divide by −7 Subtract 2x, then add −23, lastly divide by 7 Add 5x, then subtract 12, lastly divide by 7 Add 2x, then subtract 23, lastly divide by 7 |
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Answer» Given the equation 5x + 23 = -2x - 12, which order of operations completely solves for x Subtract 5x, then subtract 23, lastly divide by −7 Subtract 2x, then add −23, lastly divide by 7 Add 5x, then subtract 12, lastly divide by 7 Add 2x, then subtract 23, lastly divide by 7 Solution: |
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| 3152. |
What is the solution to the system of equations? 2x - y = 7 and y = 2x + 3 |
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Answer» What is the solution to the system of equations? 2x - y = 7 and y = 2x + 3 Solution: |
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| 3153. |
Solve the inequality. 2(4x -3) ≥ -3(3x) + 5x |
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Answer» Solve the inequality. 2(4x -3) ≥ -3(3x) + 5x? Solution: |
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| 3154. |
How much is 1/2 to the power of 2? |
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Answer» 1/2 to the power of 2 is 1/4 or 0.25. For solving this question, we usethe exponent rules. The exponent of any number represents how many times we have to use the number in a multiplication. |
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| 3155. |
What is 120degrees Celsius in Fahrenheit? |
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Answer» 120°Celsiusis equal to 248°Fahrenheit. The two different types of units or scales to measuretemperatureareCelsiusandFahrenheit. In other words, they are two different scales to measure the temperature. |
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| 3156. |
Solve for x: x - 2/3 = 2x/7 |
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Answer» The value of x for the given equationx - 2/3 = 2x/7 is 14/15. In algebra, we use the balancing or the transposition method to solve for the unknown variable 'x'. |
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| 3157. |
The binary system consists of only two digits: 0 and 1. What are0 and 1 called? |
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Answer» In a binary system, the 0's and 1's are known as bits. Binary systemof numbers is used to represent the numbers using only 0's and 1's. This is used to send, receive and transfer information among various servers, systems, and networks. |
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| 3158. |
A circle has a diameter with endpoints (-8, 2) and (-2, 6). What is the equation of the circle? |
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Answer» A circle has a diameter with endpoints (-8, 2) and (-2, 6). What is the equation of the circle? Solution: |
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| 3159. |
Let A = {1, 2, 3, 4, 5} and B = {2, 4}. what is A ∩ B? |
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Answer» Let A = {1, 2, 3, 4, 5} and B = {2, 4}. what is A ∩ B? Solution: |
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| 3160. |
How many 1-cm squares would it take to construct a square that is 3 m on each side? |
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Answer» How many 1-cm squares would it take to construct a square that is 3 m on each side? Solution: |
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| 3161. |
The LCM of the smallest two digits composite number and the smallest composite number is..... |
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Answer» LCM of the smallest two-digitcomposite number and the smallest composite number is 20 The composite numbers arenatural numbers that have more than two factors, unlike prime numbers. |
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| 3162. |
In the right triangle LMN, L and M are complementary angles and sin(L) is 19/20. What is cos(M)? |
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Answer» In the right triangle LMN, L and M are complementary angles and sin(L) is 19/20. What is cos(M)? Solution: |
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| 3163. |
Using the order of operations rule, solve the following: 12 ÷ 2 + 4 -2 × 3 =? |
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Answer» Using the order of operations rule, solve the following: 12 ÷ 2 + 4 -2 × 3 = ? Solution: |
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| 3164. |
HCF of two numbers 'a' and 'b' is 5 and their LCM is 200. Find the product of 'a' and 'b' |
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Answer» If the HCF of two numbers 'a' and 'b' is 5 and their LCM is 200, then the product of 'a' and 'b' is 1000. The largest possible number which divides the given numbers exactly without leaving any remainder is called their HCF (Highest Common Factor). |
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| 3165. |
By how much does 2 exceeds -3? |
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Answer» 2 exceeds -3 by 5. The word 'exceeds' refers to how much anything is more than a given quantity. |
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| 3166. |
If y varies directly with x, and if x = 7.5 when y = 10, how do you find x when y = 4? |
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Answer» If y varies directly with x, and if x = 7.5 when y = 10, how do you find x when y = 4? Solution: |
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| 3167. |
Solve the following system: y = x + 3; 3x + y = 19 |
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Answer» Solve the following system: y = x + 3; 3x + y = 19 Solution: |
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| 3168. |
Find the radius of a circle in which an inscribed square has a side of 8 inches? |
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Answer» Find the radius of a circle in which an inscribed square has a side of 8 inches? Solution: |
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| 3169. |
Given that f(x) = -x + 4 and g(x) = -2x - 3, solve for f(g(x)) when x = 2. |
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Answer» Given that f(x) = -x + 4 and g(x) = -2x - 3, solve for f(g(x)) when x = 2. Solution: |
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| 3170. |
Write the complex number in the form a + bi. 3(cos 60° + i sin 60°) |
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Answer» Write the complex number in the form a + bi. 3(cos 60° + i sin 60°) Solution: |
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| 3171. |
What is the simplified form of 1 over x squared all over 3 over x-cubed ? |
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Answer» What is the simplified form of 1 over x squared all over 3 over x-cubed ? Solution: |
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| 3172. |
What is the difference between the polynomials? (-2x3y2 + 4x2y3 - 3xy4) -(6x4y - 5x2y3 - y5) |
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Answer» What is the difference between the polynomials? (-2x3y2 + 4x2y3 - 3xy4) -(6x4y - 5x2y3 - y5) Solution: |
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| 3173. |
Find the height of a square pyramid that has a volume of 12 cubic feet and a base length of 3 feet. |
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Answer» Find the height of a square pyramid that has a volume of 12 cubic feet and a base length of 3 feet.
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| 3174. |
Use the zero product property to find the solutions to the equation x2 - 15x - 100 = 0. |
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Answer» Use the zero product property to find the solutions to the equation x2 - 15x - 100 = 0. Solution: |
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| 3175. |
For an angle θ with the point (-20, -21) on its terminating side, what is the value of cosine? |
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Answer» For an angle θ with the point (-20, -21) on its terminating side, what is the value of cosine? Solution: |
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| 3176. |
What value of x is in the solution set of 2(3x - 1) ≥ 4x - 6? |
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Answer» What value of x is in the solution set of 2(3x - 1) ≥ 4x - 6? Solution: |
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| 3177. |
Which points are solutions to the linear inequality y < 0.5x + 2? check all that apply. (-3, -2), (-2, 1), (-1, -2), (-1, 2), (1, -2), (1, 2) |
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Answer» Which points are solutions to the linear inequality y < 0.5x + 2? check all that apply. Solution: |
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| 3178. |
Five boxes of bananas sell for $30.00. How many boxes can you buy for $9.00? |
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Answer» Five boxes of bananas sell for $30.00. How many boxes can you buy for $9.00? Solution: |
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| 3179. |
A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone? |
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Answer» A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone? Solution: |
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| 3180. |
If m times the mthterm is equal to n times the nthterm of an A.P. prove that (m+n)thterm of A.P is zero. |
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Answer» We have proved that, if m times the mthterm is equal to n times the nthterm of an A.P., (m+n)thterm of A.P is equal to zero. An arithmetic progression is a sequence where the differences between every two consecutive termsare the same. |
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| 3181. |
What is 20degrees Celsius in Fahrenheit? |
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Answer» 20°Celsiusis equal to 68°Fahrenheit. The two different types of units or scales to measuretemperatureareCelsiusandFahrenheit. In other words, they are two different scales to measure the temperature. |
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| 3182. |
Solve x2 = 5 - x using the quadratic formula. what are the values of x? |
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Answer» Solve x2 = 5 - x using the quadratic formula. what are the values of x? Solution: |
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| 3183. |
If h(x) = x - 1 and j(x) = -4x, solve h[j(5)] and select the correct answer below. -21,-20,-19,-16 |
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Answer» If h(x) = x - 1 and j(x) = -4x, solve h[j(5)] and select the correct answer below. Solution: |
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| 3184. |
Find the first six terms of the sequence. a1 = -6, an = 4.an - 1 |
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Answer» Find the first six terms of the sequence.a1 = -6, an = 4.an - 1 Solution: |
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| 3185. |
5 out of 8 is what percent? |
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Answer» 5 out of 8 can be expressed as 62.5%. A fraction is a relationship between a part and a whole, whereas, a percent means a part or a portion out of hundred. |
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| 3186. |
A certain freezing process requires that room temperature be lowered from 40 degree Celsius at rate of 5 degree Celsius every hour. What will be the room temperature 10 hours after the process begins? |
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Answer» If acertain freezing process requires that room temperature be lowered from 40 degree Celsius at rate of 5 degree celsius every hour, the room temperature 10 hours after the process begins will be -10 degrees Celcius. The rateof change is defined as the change in quantity with respect to time. |
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| 3187. |
What is the edge of a cube? |
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Answer» The edge of a cube is the line segment joining the two vertices. There are a total of 12 edges in a cube. A cube is a 3-dimensional figure with 12 edges, 6 faces, and 8 vertices. |
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| 3188. |
Which equation represents a line that passes through (-9, -3) and has a slope of -6? y - 9 = -6(x - 3) y + 9 = -6(x + 3) y - 3= -6(x - 9) y + 3 = -6(x + 9) |
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Answer» Which equation represents a line that passes through (-9, -3) and has a slope of -6? Solution: |
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| 3189. |
Two factors of -48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors? -19, -13, 13, 16 |
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Answer» Two factors of -48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors? -19, -13, 13, 16 Solution: |
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| 3190. |
Find dy/dx given x = t2 - 2t and y = t4 - 4t? |
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Answer» Find dy/dx given x = t2 - 2t and y = t4 - 4t? Solution: |
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| 3191. |
What is 2%as a fraction? |
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Answer» 2%as a fraction is 1/50 Percent means per hundred or for every hundred. We represent it as %. |
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| 3192. |
Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 4? |
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Answer» Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 4? Solution: |
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| 3193. |
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x - 3)? (0, 6), (0, -6), (6, 0), (-6, 0) |
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Answer» Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x - 3)? Solution: |
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| 3194. |
If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b? |
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Answer» If the complex number x = 3 + bi and |x|2= 13, thepossible value of b is 2 or -2. We can makeuse of the modular properties of the complex number. |
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| 3195. |
What is the sum of the geometric sequence 1, -6, 36, … if there are 6 terms? |
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Answer» What is the sum of the geometric sequence 1, -6, 36, … if there are 6 terms? Solution: |
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| 3196. |
What is the smallest angle of rotational symmetry for a square? a) 45º b) 90º c) 180º d) 360º |
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Answer» What is the smallest angle of rotational symmetry for a square? Solution: |
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| 3197. |
Solve for x: 2 over 5 (x − 4) = 2x |
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Answer» For x: 2 over 5 (x − 4) = 2x, x = -1 An equation is a mathematical expression used to represent the equality between any two expressions. |
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| 3198. |
Find a Vector that has the same Direction as −2, 6, 6 but has Length 6. |
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Answer» A vector with the same direction as (−2, 6, 6) but has length 6 is(−12/√76, 36/√76, 36/√76). We will be using the concept of scaling and the similarity of the vectors. |
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| 3199. |
Find the linearization l(x) of the function at a. f(x) = x4 + 6x2, a= -1. |
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Answer» Find the linearization l(x) of the function at a. f(x) = x4 + 6x2, a=-1. Solution: |
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| 3200. |
In triangle FGH, GJ is an angle bisector of ∠G and perpendicular to FH. What is the length of FH? |
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Answer» In triangle FGH, GJ is an angle bisector of∠G and perpendicular to FH. What is the length of FH? Solution: |
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