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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.
| 5151. |
If a die is rolled 4 times, what is the probability that 6 comes up at least once? |
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Answer» If a die is rolled 4 times, what is the probability that 6 comes up at least once? Solution: |
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| 5152. |
The lateral surface area of cone Ais exactly equal tothe lateral surface area of cylinder B. True or false. |
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Answer» Yes, it is true thatthe lateral surface area of cone A is exactly equal tothe lateral surface area of cylinder B.
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| 5153. |
A car gets 35 miles per gallon. How many gallons do you need to go 700 miles? |
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Answer» A car gets 35 miles per gallon. How many gallons do you need to go 700 miles? Solution: |
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| 5154. |
Differentiate with respect to t. y = b cos(t) + t2 sin(t) |
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Answer» Differentiate with respect to t. y = b cos(t) + t2sin(t) Solution: |
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| 5155. |
Express 0.8 as a fraction in its simplest form. |
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Answer» The simplest form of fraction for 0.8 is 4/ 5. Fractions are the numbers that are in the form of p/q where p and q are integers. |
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| 5156. |
Put commas according to Indian system and write the number name of 27597219. |
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Answer» According to the Indian system, the number name of2,75,97,219is two crores, seventy-fivelakh, ninety-seven thousand, two hundred and nineteen. Theplace valuesystems are introduced to understand the numerical values in a better way and for easy comparison ofnumbers. |
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| 5157. |
Find the length of the hypotenuse of a right triangle whose legs are 8 and 15units in length. |
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Answer» Find the length of the hypotenuse of a right triangle whose legs are 8 and 15units in length. Solution: |
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| 5158. |
What is the remainder when the polynomial 6x2 + 11x - 3 is divided by 2x - 1? |
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Answer» What is the remainder when the polynomial 6x2 + 11x - 3 is divided by 2x - 1? Solution: |
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| 5159. |
How do you find the values of all six trigonometric functions of a right triangle ABC where C is the right angle, given a = 7, b = 24, c = 25? |
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Answer» How do you find the values of all six trigonometric functions of a right triangle ABC where C is the right angle, given a = 7, b = 24, c = 25? Solution: |
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| 5160. |
How to find the surface area of a right rectangular prism? |
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Answer» The surface area of a right rectangular prism is given by the formula 2× (bh + lh + lb), wherel isthe length, b isthe breadth and h is the height of a right rectangular prism. A right rectangular prism is a three-dimensional solid whose all 6 faces are rectangles. |
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| 5161. |
Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7). |
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Answer» Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7). Solution: |
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| 5162. |
What is the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high? |
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Answer» What is the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high? Solution: |
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| 5163. |
Express 0.4375 as a fraction in the simplest form. |
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Answer» 0.4375 as a fraction is 7 / 16. Fractions are the numbers that are in the form of p/q where p and q are integers. |
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| 5164. |
3/4 and 7/x; Findx if both are equal. |
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Answer» If3/4 and 7/x are equal, then the value of x is 28/3. The question is based on ratio and linear equations. |
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| 5165. |
How many solutions exist for the given equation? 3x + 13 = 3(x + 6) + 1 |
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Answer» How many solutions exist for the given equation? 3x + 13 = 3(x + 6) + 1 Solution: |
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| 5166. |
If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6 |
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Answer» If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6 Solution: |
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| 5167. |
What is the formula for the surface area of a rectangular prism? |
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Answer» The surface area of the rectangular prism islw + lw + wh + wh + lh + lh. A rectangular prism is a six-faced solid, 3-dimensional object. |
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| 5168. |
What is the value of x in the equation 8x - 2y = 48, when y = 4? 6,7,14,48 |
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Answer» What is the value of x in the equation 8x - 2y = 48, when y = 4? Solution: |
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| 5169. |
A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006? |
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Answer» A machine, on average, produced87,575 screws in the month of January 2006. There are 31 days in the month of January. |
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| 5170. |
What is 0.625 as a fraction? |
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Answer» 0.625 as a fraction is 625/100 which can be reduced to 5/8 A fraction can be a portionor section of any quantity out of a whole. |
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| 5171. |
How to find the length of a diagonal of a rhombus? |
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Answer» AC2+ BD2= 4 (side)2, AC× BD= 2× Area ofRhombus We will show two cases of the relationship between two diagonals of a rhombus. |
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| 5172. |
What is the vertex of the graph of f(x) = |x + 3| + 7? (3, 7),(7, 3),(-3, 7),(7, -3) |
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Answer» What is the vertex of the graph of f(x) = |x + 3| + 7? Solution: |
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| 5173. |
Use a proportion to find the missing side length in the following similar figures |
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Answer» The length of the missing side is 4.5m
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| 5174. |
The coefficient in 6.65× 104 is |
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Answer» The coefficient in 6.65× 104is 6.65. We will use scientific notation to answer this question. |
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| 5175. |
Describe difference between relation and function |
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Answer» Relations are a groupof ordered pairs from one set of objects to another set of objects while functions are relations that connect one set of inputs to another set of outputs.So all functions are relations while all relations are not functions. Relations and functions are one of the most critical topics of algebra.A relation is just a collection of ordered pairs.A function is also a relation but with one extra rule. |
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| 5176. |
What is the value of x in the equation 2x + 3y = 36, when y = 6? 8,9,27,36 |
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Answer» What is the value of x in the equation 2x + 3y = 36, when y = 6? Solution: |
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| 5177. |
What is the difference between the two polynomials? (9x2 + 8x) - (2x2 + 3x)? |
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Answer» What is the difference between the two polynomials? (9x2+ 8x) - (2x2+ 3x)? Solution: |
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| 5178. |
What are the solutions to the quadratic equation 3(x - 4)2 = 75? |
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Answer» What are the solutions to the quadratic equation 3(x - 4)2 = 75? Solution: |
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| 5179. |
Evaluate [a + b + c]3- a3- b3 - c3 |
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Answer» [a + b + c]3- a3- b3 - c3 = 3 (a + b)(b + c)(c + a). To find the value of[a + b + c]3- a3- b3- c3we will use algebraic identities. |
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| 5180. |
Solve \(log_{4}\)(y − 9) + \(log_{4}\)(3) = \(log_{4}\)(81). |
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Answer» The solution of the given equation is y = 36. We will use the properties of the logarithm to solve the equation. |
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| 5181. |
What is the Area under the Standard Normal Curve to the Right of Z= 1.43? |
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Answer» The Area under the Standard Normal Curve to the Right of Z= 1.43 is 0.0764. We will use the concept of probability and the Normal Distribution Formula. |
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| 5182. |
Consider the leading term of the polynomial function. What is the end behavior of the graph?2x7 - 8x6 - 3x5 - 3 The leading term is 2x7. Since n is odd and a is positive, the end behavior is up and up. The leading term is 2x7. Since n is odd and a is positive, the end behavior is down and down. The leading term is 2x7. Since n is odd and a is positive, the end behavior is down and up. The leading term is 2x7. Since n is odd and a is positive, the end behavior is up and down. |
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Answer» Consider the leading term of the polynomial function. What is the end behavior of the graph?2x7 - 8x6 - 3x5 - 3 Solution: |
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| 5183. |
Factor x2-7x + 8. (x + 8)(x -1),Irrational numbers,(x -8)(x -1),(x + 8)(x + 1) |
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Answer» Factor x2-7x + 8. Solution: |
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| 5184. |
What does it mean to have a standard deviation of 0? |
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Answer» If we have astandard deviation of 0,then this implies that all the elements of the set are equal.Elements of the group are no different from the mean. Standard deviation indicates the quantity by which the data points in a set of data differ from each other. |
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| 5185. |
Determine whether the geometric series is convergent or divergent. 8 + 7 + 49/8 + 343/64 + … |
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Answer» Determine whether the geometric series is convergent or divergent. 8 + 7 + 49/8 + 343/64 + … Solution: |
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| 5186. |
Find the perimeter of an isosceles right-angled triangle having an area of the 5000-metre square. |
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Answer» The perimeter of an isosceles right-angled triangle having an area of the 5000-metre square is 341 m. Perimeters and areas are one of the most important topics in mathematics. Different shapes have different formulas for areas and perimeters. They have many practical applications too. Let's solve a problem related to the perimeter and area of an isosceles triangle. |
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| 5187. |
Express 6 divided by 5 as a fraction. |
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Answer» The value of 6divided by 5as a fraction is 1⅕. To writea fraction in its simplest form meansthe numeratorand denominator can no longer be divided by the same whole number exactly or evenly. |
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| 5188. |
What is the inverse function of h(x) = -2/3x + 6? |
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Answer» What is the inverse function of h(x) = -2/3x + 6? Solution: |
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| 5189. |
How do you calculate the percentage difference between the two numbers? |
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Answer» Tocalculate thepercentage difference of any two numbers, findthe absolute value of the ratio of their difference and their average and multiply that valueby 100. The percentage difference of any two numbers is the absolute value of the ratio of their difference and their average multiplied by 100. |
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| 5190. |
How many days in a year 2018? |
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Answer» There are 365 days in the year 2018. 2018 is not a leap year. |
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| 5191. |
If all values in a data set are the same then the sample variance is equal to? |
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Answer» The variance of the data set in which each and every value is similar will be equal to 0. Variance is the square of the standard deviation. |
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| 5192. |
Are 4/6 and 8/12 equal? |
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Answer» Yes, 4/6 and 8/12 are equal. The concept of equivalent fractions is used to solve this problem. |
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| 5193. |
Differentiatef(y) = 1y2-9y4 (y + 3y3). |
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Answer» After differentating f(y) = 1y2-9y4 (y + 3y3)we get y[2- 45y3-189y5] We will differentiate the given question w.r.t. y and reduce it into the simplest form. |
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| 5194. |
Which is a factor of x2 + 8x - 48? |
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Answer» Which is a factor of x2+ 8x -48? Solution: |
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| 5195. |
As we know the sum of two adjacent angles is 180 and forms alinear pair but if there are three angles and sum is 180 could it be linear pair or not? |
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Answer» The sum of two adjacent angles is 180 and forms alinear pair but if there are three angles and sum is 180 then thatis necesssarily not a linear pair. Such angles are called supplementary angles. If the sum of two adjacent angles is 180°, then the non-common arms of the angles form a line. |
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| 5196. |
How many different arrangements of 5 letters can be made from the 26 letters of the alphabet? |
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Answer» How many different arrangements of 5 letters can be made from the 26 letters of the alphabet? Solution: |
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| 5197. |
Find the Probability that of 25 Randomly Selected Students, at Least Two, Share the same Birthday. |
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Answer» The Probability that of 25 Randomly Selected Students, at Least Two, Share the same Birthdayis 0.5687. We will be using the concept of probability to solve this. |
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| 5198. |
Compute Δy and dy for the given values of x and dx = Δx. y = x2 - 6x, x = 5, Δx = 0.5 |
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Answer» Compute Δy and dy for the given values of x and dx = Δx. y = x2- 6x, x = 5, Δx = 0.5 Solution: |
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| 5199. |
Prism a is similar to prism b. the volume of prism a is 2720 cm³. what is the volume of prism b? 21,760 cm³, 1360 cm³, 680 cm³, 340 cm³ |
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Answer» Prism a is similar to prism b. the volume of prism a is 2720 cm³. what is the volume of prism b? 21,760 cm³, 1360 cm³, 680 cm³, 340 cm³
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| 5200. |
A two-dimensional object is called a shape, and a three-dimensional object is known as a ________. |
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Answer» A two-dimensional object is called a shape, and a three-dimensional object is known as a form. A two-dimensional shapecan be sketched on paper while we need proper computer software to draw three-dimensional forms. |
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