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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.
| 8151. |
The 2 pentagons above are similar. What is the area of the smaller pentagon? |
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Answer» The 2 pentagons above are similar. What is the area of the smaller pentagon?
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| 8152. |
What is the result of adding the system of equations? 2x + y = 4, 3x - y = 6 |
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Answer» What is the result of adding the system of equations? Solution: |
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| 8153. |
Solve x2 + 4x − 12. x = 2, x = 6, x = −2, x = −6, x = 3, x = −4, x = −3, x = 4 |
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Answer» For the equation x2 + 4x − 12, x = 2, -6 The above quadratic equationis in the form of ax2+ bx + c. |
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| 8154. |
Graph the solution to the following inequality on the number line:3(1 – x) < 2 (x + 4). |
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Answer» The simplified form of the given inequality is x > -1, which is represented on the number line. Inequalities are very important concepts in mathematics. They are used to represent feasible regions on the graph for specific parameters and calculate their range of values. |
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| 8155. |
(d) 15 and 4 |
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Answer» Observe a common property in the obtained L.C.Ms. Is L.C.M. the product of two numbers in each case? The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers. |
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| 8156. |
(c) 6 and 5 |
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Answer» Observe a common property in the obtained L.C.Ms. Is L.C.M. the product of two numbers in each case? The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers. |
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| 8157. |
(b) 12 and 5 |
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Answer» Observe a common property in the obtained L.C.Ms. Is L.C.M. the product of two numbers in each case? The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers. |
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| 8158. |
(a) 9 and 4 |
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Answer» Observe a common property in the obtained L.C.Ms. Is L.C.M. the product of two numbers in each case? The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers. |
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| 8159. |
Find the L.C.M of the following numbers: |
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Answer» Observe a common property in the obtained L.C.Ms. Is L.C.M. the product of two numbers in each case? The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers. |
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| 8160. |
How do you use part I of the Fundamental Theorem of Calculus to find the derivative of: f(x)=x∫3(((1/3)t2) - 1)7dt? |
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Answer» How do you use part I of the Fundamental Theorem of Calculus to find the derivative of:f(x)= x∫3(((1/3)t2) - 1)7dt? Solution: |
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| 8161. |
If the Leaning Tower of Pisa has a height of 55 meters, the radius of 8 meters, what is the volume? 64π, 440π, 3520π, 28160π |
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Answer» If the Leaning Tower of Pisa has a height of 55 meters, radius of 8 meters, what is the volume? 64π, 440π, 3520π, 28160π Solution: |
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| 8162. |
How to write 3/5 + 2/7 as a fraction? |
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Answer» 3/5+ 2/7can be represented as 31/35as a fraction after addition. Fractions form an integral part of Mathematics. All the fundamental operations that can be performed over integers can be performed over fractions as well. |
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| 8163. |
A triangle has side lengths of 6, 8 and 10. Is it a right triangle explain |
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Answer» A triangle has side lengths of 6, 8 and 10. Is it a right triangle explain Solution: |
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| 8164. |
How to write the slope-intercept form of the equation of the line described; (-2, -1) parallel to y = -3/2x - 1? |
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Answer» How to write the slope-intercept form of the equation of the line described; (-2, -1) parallel to y = -3/2x - 1? Given y= (-3/2)x - 1 and point (-2, -1) |
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| 8165. |
I am a number that tells how many times the base is used as a factor. |
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Answer» An exponent isa number that tells how many times the base is used as a factor. An exponent is a number written as a power of a number and is equal to the number of times the base number is to multipliedby itself. |
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| 8166. |
Which of the following is not equal to 1 mm? a) 100 cm b) 1/10 cm c) 1/1000 m d) 1/1000000 km |
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Answer» Which of the following is not equal to 1 mm? Solution: |
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| 8167. |
Express 0.75 as a fraction in simplest form. |
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Answer» 0.75 can be expressed as 3/4 in the form of a fraction. A fraction is a numerical value that is defined as a part of a whole. |
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| 8168. |
If you triple 4 and subtract 2 each day, how many days until you have zero |
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Answer» If you triple 4 and subtract 2 each day, how many days until you have zero Solution: |
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| 8169. |
Find the intervals on which f(x) = x4 − 8x2is increasing and decreasing. |
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Answer» The function f(x) =x4 − 8x2is increasing in the interval (-2, 0)∪ (2,∞), and decreasing in the interval(−∞, −2) ∪(0, 2). Derivatives have many applications. One of the major applications of derivatives is determining the monotonicity of a given function in a specific interval. |
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| 8170. |
What is the solution to this system of linear equations? Y - x = 6, Y + x = -10 |
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Answer» What is the solution to this system of linear equations? Y - x = 6, Y + x = -10 Solution: |
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| 8171. |
2x + y = 7 and 5x + y = 9 solve the system of equations. |
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Answer» 2x + y = 7 and 5x + y = 9 solve the system of equations. Solution: |
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| 8172. |
How is finding the factors of a number different from finding the prime factorization of a number? |
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Answer» Prime factorization of a number is expressing the number as a product of its prime factors.Further factorizinga number is to write the number asthe product of itsfactors. Finding factors of a number is different from finding the prime factorization. |
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| 8173. |
What is the recursive rule for the sequence? -2.7, -8.3, -13.9, -19.5, -25.1,… |
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Answer» What is the recursive rule for the sequence? -2.7, -8.3, -13.9, -19.5, -25.1,… Solution: |
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| 8174. |
Solve for x: |x − 2| + 10 = 12 |
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Answer» x = 0 and x = 4 are the roots for x: |x − 2| + 10 = 12 A modulus function gives the magnitude of anumberirrespective of its sign. It is also called the absolute value function. |
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| 8175. |
Let f(x) = 2x2+ 6x − 8 and g(x) = x + 5. Find f(x) ×g(x) |
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Answer» Iff(x) = 2x2+ 6x − 8 and g(x) = x + 5, thenf(x) ×g(x) = 2x3 + 16x2+ 22x - 40 We will be using the concept of multiplying functions to solve this. |
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| 8176. |
Solve the following system of equations and show all work. y=-x2 + 4, y=2x+1 |
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Answer» Solve the following system of equations and show all work. Solution: |
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| 8177. |
What is 3 to the 4th power? |
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Answer» 3 to the 4th power is equal to thenumber 3 multiplied by itself four times, and the resultant answer is81. 3 to the 4thpower, is mathematically interpreted as34. |
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| 8178. |
Using a six-sided die, what is the probability of rolling either a 5 or a 6? |
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Answer» Using a six-sided die, what is the probability of rolling either a 5 or a 6? Solution: |
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| 8179. |
If g(x) = 3 + x + ex, find g-1(4). |
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Answer» Ifg(x) = 3 + x + ex, theng-1(4) = 0. We will be using the concept of inverse function to solve this. Theinverse of afunction isa function that returns the original value (input value) for which a function has given the output value. |
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| 8180. |
What is 11/20 as a decimal? |
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Answer» 11/20 as a decimal is represented as 0.55. Fractionsanddecimalsare two ways to represent the same numbers. |
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| 8181. |
Solve for x: 2 over 3 (x − 2) = 4x |
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Answer» For2 over 3 (x − 2) = 4x,x =(1± √2). An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values. |
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| 8182. |
What is 7/10as a percentage? |
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Answer» 7/10as a percentage is expressed as 70%. Percentage means a part or a portion out of hundred. It is represented by the symbol %. |
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| 8183. |
Find the width of a rectangle with a perimeter of 90 cm and a length of 15 cm. |
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Answer» The width of the rectangle is 30 cm. A rectangle is a four sided polygon with equal opposite sides and all angles equal to 90º. |
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| 8184. |
How do I write a decimal as a fraction? |
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Answer» We can write any decimal in terms of a fraction by using the method given below. A fraction is a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing. All fractions consist ofa numerator and a denominator. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. |
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| 8185. |
How much does 16 oz of water weigh in pounds? |
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Answer» 16 ounces (oz) of water is equal to 1 pound in weight. Pounds(lb) and Ounces(oz) are different measuring units to calculate the weight or mass of an item. |
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| 8186. |
A. f(5) = 4 B. f(5, 4) = 0 C. f(4) = 5 D. f(5, 4) = 1 |
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Answer» Option C.f(4) = 5is the correct answer to the problem. A point that lies on the graph of a curve must satisfy the equation of the curve. |
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| 8187. |
If the point (4, 5) is on the graph of a function, which equation must be true? |
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Answer» Option C.f(4) = 5is the correct answer to the problem. A point that lies on the graph of a curve must satisfy the equation of the curve. |
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| 8188. |
Solve: −(3x − 2) = −4(x + 1) − 4. |
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Answer» x = -10 An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values. |
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| 8189. |
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)? |
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Answer» What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)? Solution: |
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| 8190. |
Rearrange this expression into quadratic form, ax2+ bx + c = 0; 0.20 = x2/ (85 - x). |
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Answer» 0.20 = x2/ (85-x) can be arranged in the quadratic form as5x2+ x - 85 = 0. An algebraic expression in the form of ax2+ bx + c = 0 is called a quadratic equation. It has a degree value of 2. |
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| 8191. |
A dress that normally costs $69.50 is on sale for 45% off. What is the sale price of the dress? $38.23, $31.28, $24.50, $1.54 |
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Answer» A dress that normally costs $69.50 is on sale for 45% off. What is the sale price of the dress? Solution: |
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| 8192. |
Find the remainder when f(x) is divided by (x - k). f(x) = 4x3 - 6x2 + 3x + 1; k= -2. |
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Answer» Find the remainder when f(x) is divided by (x - k). f(x) = 4x3 - 6x2 + 3x + 1; k= -2. Solution: |
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| 8193. |
What is the inverse of the function f(x) = x + 2? |
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Answer» The Inverse of the Function f(x) = x + 2isf-1(x) = x- 2 We will be using the inverse function to solve this. |
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| 8194. |
What is 1/6of 100? |
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Answer» 1/6of 100is 16⅔ Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 8195. |
What is 13/9 as a mixed number? |
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Answer» 13/9 as a mixed number can be written as1 4/9. Amixed fractionis defined as a fraction formedby combining a whole number and a fraction. |
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| 8196. |
How to express 10to the power of 1? |
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Answer» 10to the power of 1can be expressed as 101= 10. Power in exponents is defined as the total number of times we use the number ina multiplication.For example, 2 to the power 3 means 2 is multiplied 3 times. |
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| 8197. |
What is 13/12 as a mixed number? |
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Answer» 13/12 as a mixed number can be written as1 1/12 Amixed fractionis defined as a fraction formedby combining a whole number and a fraction. |
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| 8198. |
If s(x) = 2x2+ 3x - 4, and t(x) = x + 4 then s(x) · t(x) = ? |
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Answer» Ifs(x) = 2x2+ 3x - 4, and t(x) = x + 4 then s(x) · t(x) =2x3+ 11x2 + 8x - 16. We will use the concept of functions to solve this. |
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| 8199. |
What is 13/10 as a mixed number? |
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Answer» 13/10 as a mixed number is1 3/10. Animproper fractionis a typeof fractionwhere the numerator is greater than or equal to the denominator. |
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| 8200. |
The solution set of the compound inequality 3.5x - 10 > -3 and 8x - 9 < 39 is ? |
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Answer» The solution set of the compound inequality 3.5x - 10 > -3 and 8x - 9 < 39 is ? Solution: |
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