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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.
| 5201. |
What is the absolute value of 0? |
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Answer» The absolute value of 0= |0| = 0 The absolute value of a variablexis represented by|x|which is pronounced as "Mod x" or "Modulus of x." |
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| 5202. |
Solve for x: - 3|2x + 6| = -12 x = 1 and x = 5 x = -1 and x = -5 x = -9 and x = 3 No solution |
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Answer» Solve for x: - 3|2x + 6| = -12 x = 1 and x = 5, x = -1 and x = -5, x = -9 and x = 3,No solution Solution: |
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| 5203. |
Write one lakh thirty thousand in numbers. |
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Answer» Write one lakh thirty thousand in numbers. Solution: |
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| 5204. |
What is the absolute value of 6? |
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Answer» The absolute value of 6 is |6| = 6. The absolute value of a variablexis represented by|x|which is pronounced as "Mod x" or "Modulus of x." |
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| 5205. |
An unbiased die is tossed 500 times. What is the mean of the number of ‘sixes’ in these 500 tosses? |
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Answer» An unbiased die is tossed 500 times. What is the mean of the number of ‘sixes’ in these 500 tosses? Solution: |
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| 5206. |
How to find the area of a triangle without the height? |
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Answer» We will use Heron’s formulato find the area of a triangle without the height. Thearea of a triangleis defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. |
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| 5207. |
Is 9197 a perfect cube? |
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Answer» 9197 is not a perfect cube, since it cannot be expressed as the multiplication of an integer three times by itself. When an integer is multiplied three times by itself, then that product is called a perfect cube. It is denoted by x3. |
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| 5208. |
What is 1/2 divided by 3? |
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Answer» The value of 1/2 divided by 3 is1/6. The multiplication of fractions starts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 5209. |
Find a formula for the general term of the sequence:2, 6, 12, 20, 30... |
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Answer» The formula for the general term of the sequence:2, 6, 12, 20, 30... is \(a_{n}\) = n2+ n. Progressions are sequences that follow a common pattern in theirterms. We can obtain the formula for the nth or the general term and for the sum till the nthterm if we find the pattern in any sequence. |
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| 5210. |
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 9 sin7θ |
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Answer» Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 9 sin7θ Solution: |
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| 5211. |
Each side of a square is increasing at a rate of 6 cm/s . At what rate is the area of the square increasing when the area of the square is 16 cm2 ? |
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Answer» Each side of a square is increasing at a rate of 6 cm/s . At what rate is the area of the square increasing when the area of the square is 16 cm2 ? Solution: |
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| 5212. |
Simplify -8/9 × 16/-7. |
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Answer» -8/9 × 16/-7 can be simplified as 128/63. Let us simplify the given arithmetic expression. |
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| 5213. |
What is the x-intercept of the line containing the points (-6, 10) and (12, -2)? |
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Answer» What is the x-intercept of the line containing the points (-6, 10) and (12, -2)? Solution: |
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| 5214. |
Find the Number of Sides of a Regular Polygon if One Interior Angle is 120 degrees. |
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Answer» If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon). We will be using the formula of interior angles of a regular polygon to solve this. |
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| 5215. |
What is 90%of 20? |
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Answer» 90%of 20 is 18. A percentis a ratio of a number expressed out of100. |
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| 5216. |
What is the absolute value of 9? |
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Answer» The absolute value of 9 = |9| = 9 The absolute value of a variable xis represented by|x|which is pronounced as "Mod x" or "Modulus of x." |
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| 5217. |
How many different integers can have the same absolute value? |
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Answer» Twodifferent integers can have the same absolute value The absolute value of a number is its distance from 0. Since the absolute value is a distance, the absolute value is always non-negative. |
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| 5218. |
What is 35% of 60? |
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Answer» 35% of 60 is 21. Let us calculate 35% of 60. |
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| 5219. |
If f(–5) = 0, what are all the factors of the functionf(x) = x3 - 19x + 30? Use the remainder theorem. |
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Answer» The factors of the function f(x)= x3 - 19x + 30 are (x + 5), (x - 2), and (x - 3). The remainder theorem is stated as follows: When a polynomial a(x) is divided by a linear polynomial b(x) whose zero is x = k, the remainder is given by r = a(k). |
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| 5220. |
Indicate in standard form the equation of the line through the given points. k(6, 4), l(-6, 4) |
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Answer» Indicate in standard form the equation of the line through the given points. k(6, 4), l(-6, 4) Solution: |
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| 5221. |
Find the remainder when x3 + x2 + x + 1 is divided by x - 1/2, by using remainder theorem. |
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Answer» Find the remainder when x3+ x2+ x + 1 is divided by x - 1/2, by using remainder theorem. Solution: |
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| 5222. |
A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup should be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with a length of 5 cm and a diameter of 2.8 cm as shown in the below figure. |
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Answer» The quantity of sugar syrup in 45 gulab jamuns will be338.202 cm3.
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| 5223. |
Find the deviation from the mean for each of the data items - {3, 5, 8, 4, 9, 6, 7}. |
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Answer» The mean deviation of the data items given is 12/7. Themean deviationis defined as a statistical measure that is used to calculate the averagedeviationfrom themeanvalue of the given data set. Mean deviation is further used to find variance and standard deviation of datasets. It can also give various other information regarding the dataset to be analyzed. |
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| 5224. |
If (f + g)(x) = 3x2 + 2x - 1 and g(x) = 2x - 2, what is f(x)? |
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Answer» If (f + g)(x) = 3x2+ 2x - 1 and g(x) = 2x - 2, what is f(x)? Solution: |
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| 5225. |
What is the solution of log2x - 416 = 4? |
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Answer» What is the solution of log2x - 416 = 4? Solution: |
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| 5226. |
Divide 1400 into three part such that the 1st part is 2/3 of 2nd part and the ratio between the 2nd and 3rd part is 4:5. Find each part. |
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Answer» The three parts of the number 1400 wherethe 1st part is 2/3 of 2nd part and the ratio between the 2nd and 3rd part is 4:5 are 320, 480, and 600. The ratio is defined as the relation between the quantities of two or more objects and it indicates the amount of one object contained in the other. |
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| 5227. |
Evaluate the following expression using the given values: find x - 3y if x = 3 and y = -2? -9, -3,3, 9 |
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Answer» Evaluate the following expression using the given values: find x - 3y if x = 3 and y = -2? Solution: |
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| 5228. |
HCF of 196and 38220 by Long Division Method. |
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Answer» HCF of 196and 38220is 196. HCF (Highest Common Factor)of two or more numbers is the largest possible number which divides the given numbers exactly without leaving any remainder. |
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| 5229. |
Which equation has the solution x = 1 ± √5? x2 + 2x + 4 = 0 x2- 2x + 4 = 0 x2+ 2x - 4 = 0 x2- 2x - 4 = 0 |
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Answer» Which equation has the solution x = 1 ± √5? x2 + 2x + 4 = 0, x2- 2x + 4 = 0, x2+ 2x - 4 = 0, x2- 2x - 4 = 0 Solution: |
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| 5230. |
Find f. f '(t) = 20/1 + t2 f(1) = 0 |
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Answer» Find f. f '(t) = 20/1 + t2 f(1) = 0 Solution: |
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| 5231. |
What is 10% of 50? |
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Answer» 10% of 50 is 5. A percentis a ratio of a number expressed out of100. |
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| 5232. |
The lengths of the sides of a rectangular window have the ratio 1.5 to 1. The area of the window is 1,350 square inches. What are the dimensions of the window? |
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Answer» The lengths of the sides of a rectangular window have the ratio 1.5 to 1. The area of the window is 1,350 square inches. What are the dimensions of the window? Solution: |
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| 5233. |
If f(x) = sin x and g(x) = cos x, then find (gof)(x) and (fog)(x). |
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Answer» If f(x) = sin x and g(x) = cos x, then find (gof)(x) and (fog)(x). Solution: |
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| 5234. |
Let a = {15, 25, 35, 45, 55, 65} and b = {25, 45, 65}. what is a ∩ b? |
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Answer» Let a = {15, 25, 35, 45, 55, 65} and b = {25, 45, 65}. what is a ∩ b? Solution: |
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| 5235. |
A numerical value used as a summary measure for a sample, such as a sample mean, is known as a Sample parameter, Population parameter, Sample statistic, Population mean |
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Answer» A numerical value used as a summary measure for a sample, such as sample mean, is known as a Sample parameter, Population parameter, Sample statistic, Population mean Solution: |
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| 5236. |
You’re building a rectangular frame 10 inches by 11 inches. How many feet of wood do you need? |
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Answer» You’re building a rectangular frame 10 inches by 11 inches. How many feet of wood do you need? Solution: |
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| 5237. |
Find the remainder when f(x) = 4x3 - 20x - 50 is divided by x - 3. |
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Answer» Find the remainder when f(x) = 4x3- 20x - 50 is divided by x - 3. Solution: |
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| 5238. |
What are the coordinates of the turning point for the function f(x) = (x + 2)3 - 4? |
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Answer» What are the coordinates of the turning point for the function f(x) = (x + 2)3- 4? Solution: |
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| 5239. |
Aleap year consists of how many days? |
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Answer» A leap year has 366 days. We will determine the number of days in a leap year. |
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| 5240. |
Find the product of z1 and z2, where z1 = 2(cos80° + i sin80°) and z2 = 9(cos 110° + i sin110°) |
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Answer» Find the product of z1 and z2, where z1 = 2(cos80° + i sin80°) and z2 = 9(cos110° + i sin110°) Solution: |
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| 5241. |
How do You Find the Values of sin2θand cos2θ, when cosθ=12/13. |
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Answer» The Values of sin2θ and cos2θ, when cosθ=12/13is Sin2θ=120/169 andCos2θ = 119/169 To find the trigonometric values of Sin 2θ and Cos 2θ we can makeuse of trigonometric ratios and formulas. |
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| 5242. |
What is the 50th term of the sequence whose nth term is given by a formula in terms of n, and the first five terms are 1, 5, 12, 22, 35? |
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Answer» What is the 50th term of the sequence whose nth term is given by a formula in terms of n, and the first five terms are 1, 5, 12, 22, 35? Solution: |
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| 5243. |
What is the f of x over the g of x when f(x) = -2x3 + x2 + 16x - 15 and g(x) = x + 3? |
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Answer» What is the f of x over the g of x when f(x) = -2x3 + x2 + 16x - 15 and g(x) = x + 3? Solution: |
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| 5244. |
What are the coordinates of the turning point for the function f(x) = (x + 3)3 + 1? |
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Answer» What are the coordinates of the turning point for the function f(x) = (x + 3)3+ 1? Solution: |
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| 5245. |
Find the measure of ∠D if, ∠A = 52x + 16, ∠B = 72x + 20, ∠C = 32x + 68, ∠D = 32x + 40 |
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Answer» Find the measure of ∠D if, ∠A = 52x + 16, ∠B = 72x + 20, ∠C = 32x + 68, ∠D = 32x + 40 Solution: |
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| 5246. |
Water in a canal 1.5m wide and 6m deep is flowing with a speed of 10km/hr. How much area will it irrigate in 30 minutes if 8cm of standing water is desired? |
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Answer» The area that willbe irrigatedin 30 minutes by a water canal that is 1.5m wide and 6m deep flowing with a speed of 10km/h with standing water of 8cmis 56,2500 m2 As given here the canal is in the shape of a cuboid with dimensions, length(l), breadth(b), and height/depth(h). |
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| 5247. |
Find the exact length of the curve. y = 5 + 2x3/2, 0 ≤ x ≤ 1 |
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Answer» Find the exact length of the curve. y = 5 + 2x3/2, 0 ≤ x ≤ 1 Solution: |
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| 5248. |
What is 5% of 100? |
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Answer» 5% of 100 is 5. A percentis a ratio of a number expressed out of100. |
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| 5249. |
Find the equation of the line that has a slope of 4 and a y-intercept of 2. |
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Answer» The equation of the line that has a slope of 4 and a y-intercept of 2 isy = 4x + 2. A straight line is a figure formed when two pointsare connected with minimum distance between them, and both the ends extend to infinity. |
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| 5250. |
What is the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768,… |
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Answer» What is the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768,… Solution: |
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