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.
| 6151. |
What is e to the power of infinity? |
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Answer» e to the power of infinity is infinity (∞). The number 'e' is known as Euler's number, which has a value of approximately 2.71828 and is an irrational number. It has many applications and is used as the base of the natural logarithm. |
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| 6152. |
If you are going to measure the mass of your dog, which of the following units should you use? (i) Centigram(ii) Kilogram(iii) Gram(iv) Nanogram |
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Answer» If you are going to measure the mass of your dog, which of the following units should you use? (i) Centigram(ii) Kilogram(iii) Gram(iv) Nanogram Solution: |
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| 6153. |
px + qy = r and 2px - qy = 2r when solving this system of equations, x =? |
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Answer» px + qy = r and 2px - qy = 2r when solving this system of equations, x =? Solution: |
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| 6154. |
What is the value of x in the (2x + 12) = (x + 14) - 3? |
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Answer» What is the value of x in the (2x + 12) = (x + 14) - 3? Solution: |
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| 6155. |
How to differentiate log(1 + x + x2)function? |
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Answer» The derivative of log(1 + x + x2)function is (2x + 1) / (1 + x + x2). Differentiation is one of the most important concepts in calculus. It is the reverse of integration. The slopes of various curves at different points can be found out using differentiation. |
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| 6156. |
The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse? |
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Answer» The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse? Solution: |
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| 6157. |
Find the remainder when (x3 - 2) is divided by (x - 1). What is the remainder? - x2-2,x2-2,-2,-1 |
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Answer» Find the remainder when (x³ - 2) is divided by (x - 1). What is the remainder? Solution: |
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| 6158. |
Using the quadratic formula to solve 7x2 – x = 7, what are the values of x? |
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Answer» Using the quadratic formula to solve 7x2 – x = 7, what are the values of x? Solution: |
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| 6159. |
y = -x + 4 and x + 2y = -8, how many solutions does this linear system have? |
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Answer» y = -x + 4 and x + 2y = -8, how many solutions does this linear system have? Solution: |
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| 6160. |
Which is the best approximate solution of the system of linear equations y = 1.5x -1 and y = 1? |
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Answer» Which is the best approximate solution of the system of linear equations y = 1.5x -1 and y = 1? Solution: |
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| 6161. |
Can pi be expressed as a fraction? |
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Answer» Pi cannot be expressed as a fraction as it is an irrational number. The numberpi represented as 'π' is a mathematical constant. |
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| 6162. |
Find the length of the curve r(t) = 7t, 3 cos(t), 3 sin(t) , -2≤ t ≤ 2 |
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Answer» Find the length of the curve r(t) = 7t, 3 cos(t), 3 sin(t) , -2≤ t ≤ 2 Solution: |
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| 6163. |
What is the slope-intercept form of the function that contains the points (3, 1) and (2, 9)? |
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Answer» What is the slope-intercept form of the function that contains the points (3, 1) and (2, 9)? Solution: |
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| 6164. |
What is the equation of the quadratic graph with a focus of (3,1) and a directrix of y=5? |
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Answer» What is the equation of the quadratic graph with a focus of (3,1) and a directrix of y=5? Solution: |
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| 6165. |
When the component of a vector A along the direction of vector B is zero, what can you conclude about the two vectors? |
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Answer» If the component of vector A is 0 along with vector B, the angle between the two vectors will be 90 degrees. We will use the concept of the component of vectors to conclude about two vectors. |
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| 6166. |
What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16? |
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Answer» What are the solutions of the quadratic equation 0 = 4(x - 3)2- 16? Solution: |
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| 6167. |
The focus of a parabola is located at (4,0) and the directrix is located at x = -4. Which equation represents the parabola? y2 = -x y2 = x y2 = -16x y2 = 16x |
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Answer» The focus of a parabola is located at (4,0) and the directrix is located at x = -4. Which equation represents the parabola? Solution: |
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| 6168. |
Which graph can be used to find the solution(s) to x2 - 4x + 4 = 2x - 1 - x2? |
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Answer» Which graph can be used to find the solution(s) to x2 - 4x + 4 = 2x - 1 - x2? Solution: |
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| 6169. |
Which number is the next logical number in the following sequence of numbers: 2, 6, 14, 30,... |
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Answer» Which number is the next logical number in the following sequence of numbers: 2, 6, 14, 30,... Solution: |
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| 6170. |
What is 3 to the 3rd power? |
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Answer» The value of 3raised to 3rdpower i.e., 33is 27. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 6171. |
What's the simplified form of 2x + 3 - x + 5? |
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Answer» What's the simplified form of 2x + 3 - x + 5? Solution: |
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| 6172. |
A car can reach a certain place in 12 hours at a speed of 60 km per hour. By how much should the speed increase so that it completesthe journey in 10 hours? |
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Answer» The car should increase its speed by 12 km/h to complete the journey in 10 hours. Speed is equal to the distance traveled divided by the time. |
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| 6173. |
Give an example of a function, f(x), with a domain of (0,5] and a range of [0,∞). |
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Answer» Give an example of a function, f(x), with a domain of (0,5] and a range of [0,∞). Solution: |
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| 6174. |
What is the equation of the quadratic graph with a focus of (4, 3) and a directrix of y = -6? |
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Answer» What is the equation of the quadratic graph with a focus of (4, 3) and a directrix of y = -6? Solution: |
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| 6175. |
If the roots of the quadratic equation kx2+ (a + b)x + ab are (-1) and(-b), then the value of k is? |
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Answer» The value of k is 1, if the roots of the quadratic equation kx2+ (a + b)x + ab are (-1) and (-b). An equation of the form ax2+ bx + c = 0, where a ≠ 0 is called a quadratic equation. |
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| 6176. |
What is the Probability of Flipping a Coin Three Times and having them all Land "Heads" up? |
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Answer» What is the Probability of Flipping a Coin Three Times and having them all Land "Heads" up? Solution: |
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| 6177. |
Find the area of a sector with an arc length of 60 in. and a radius of 15 in? |
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Answer» Find the area of a sector with an arc length of 60 in. and a radius of 15 in? Solution: |
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| 6178. |
What is a 20 sided shape called? |
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Answer» A 20 sided polygon is called Icosagon. In geometry, a polygon is a closed two-dimensional figure with three or more straight lines. |
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| 6179. |
Find the point p on the parabola y = x2closest to the point (3, 0). |
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Answer» Find the point p on the parabola y = x2closest to the point (3, 0). Solution: |
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| 6180. |
If 0 < r < 1 < s < 2, which of the following must be less than 1? I. r/s II. rs III. s - r A. I only B. II Only III Only I and II I and III |
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Answer» If 0 < r < 1 < s < 2, which of the following must be less than 1? I. r/s II. rs III. s - r A. I only B. II Only III Only I and II I and III Solution: |
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| 6181. |
What is the equation of the quadratic graph with a focus of (2, 0) and a directrix of y = -12? |
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Answer» What is the equation of the quadratic graph with a focus of (2, 0) and a directrix of y = -12? Solution: |
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| 6182. |
For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 3? |
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Answer» For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 3? Solution: |
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| 6183. |
Select the proper order from least to greatest for 1/2 , 5/6 , 2/7 , 4/2. |
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Answer» Select the proper order from least to greatest for 1/2 , 5/6 , 2/7 , 4/2. Solution: |
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| 6184. |
What is the equation of the quadratic graph with a focus of (4, 3) and a directrix of y = 13? |
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Answer» What is the equation of the quadratic graph with a focus of (4, 3) and a directrix of y = 13? Solution: |
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| 6185. |
What is the solution set of the following equation? 6x2 = 13x + 5 |
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Answer» What is the solution set of the following equation? 6x2= 13x + 5 Solution: |
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| 6186. |
Find a.b if a = , b = |
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Answer» Find a.b if a = <2, 4>, b = <2, 5> Solution: |
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| 6187. |
What is the nth term of the geometric sequence 4, 8, 16, 32, ... ? |
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Answer» What is the nth term of the geometric sequence 4, 8, 16, 32, ... ? Solution: |
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| 6188. |
What is 7/2as a decimal? |
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Answer» 7/2as a decimal is equal to 3.5 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. For example, 2.3 is a decimal number in whicstrong is a whole number partand 3 is thedecimal part. |
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| 6189. |
How to find the number of sides of a polygon when given the interior angle sum? |
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Answer» To find the number of sides of a polygon when given the sum ofinterior angles, we use the formula: Sum of interior angles = (n - 2)× 180, where n is the number of sides. Polygons are closed curves made of line segments. The polygons with equal sides and angles are called regular polygons. Each polygon has a fixed sum of interior angles depending on its number of sides. |
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| 6190. |
What is the perimeter of a rhombus whose diagonals are 16 cm and 30 cm? |
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Answer» What is the perimeter of a rhombus whose diagonals are 16 cm and 30 cm? Solution: |
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| 6191. |
Define double ordinate |
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Answer» Double ordinate can be defined asany chord of the parabola which is perpendicular to the axis and passing through any point on the parabola is called double ordinate. We will use the concept of the parabola to answer this question. |
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| 6192. |
Find the exact length of the curve. y = 2 + 8x3/2, 0 ≤ x ≤ 1. |
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Answer» Find the exact length of the curve. y = 2 + 8x3/2, 0 ≤ x ≤ 1. Solution: |
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| 6193. |
This is the power to which a number is raised, or the number of times it is multiplied by itself. |
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Answer» This is the power to which a number is raised, or the number of times it is multiplied by itself. Incomplete question[What is an exponent?] Solution: |
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| 6194. |
Let f(x) = -4x + 7 and g(x) = 10x - 6. find f(g(x)). - 40x + 24, - 40x + 31, - 40x + 64, - 40x + 70 |
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Answer» Let f(x) = -4x + 7 and g(x) = 10x - 6. find f(g(x)). - 40x + 24, - 40x + 31, - 40x + 64, - 40x + 70 Solution: |
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| 6195. |
What is the rate of change for f(x) = 7sinx - 1 on the interval from x = 0 to x = pi/2? |
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Answer» What is the rate of change for f(x) = 7sinx - 1 on the interval from x = 0 to x = pi/2? Solution: |
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| 6196. |
Find an explicit rule for the nth term of the sequence. -5, -25, -125, -625, … |
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Answer» Find an explicit rule for the nth term of the sequence. -5, -25, -125, -625, … Solution: |
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| 6197. |
Let a = {10, 20, 30, 40, 50, 60} and b = {10, 40, 60}. what is a ∩ b? |
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Answer» Let a = {10, 20, 30, 40, 50, 60} and b = {10, 40, 60}. what is a ∩ b? Solution: |
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| 6198. |
Find the exact length of the curve. y = 1 + 8x3/2, 0 ≤ x ≤ 1. |
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Answer» Find the exact length of the curve. y = 1 + 8x3/2, 0 ≤ x ≤ 1. Solution: |
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| 6199. |
Find P(C|Y) from the information in the table. To the nearest tenth, P(C|Y) = . |
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Answer» Find P(C|Y) from the information in the table. To the nearest tenth, P(C|Y) = . Solution: |
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| 6200. |
What is the common ratio between successive terms in the sequence? 27, 9, 3, 1,… |
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Answer» What is the common ratio between successive terms in the sequence? 27, 9, 3, 1,… Solution: |
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