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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.
| 6501. |
Find the points on the surface y2 = 4 + xz that are closest to the origin |
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Answer» Find the points on the surface y2= 4 + xz that are closest to the origin Solution: |
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| 6502. |
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. |
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Answer» Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. Solution: |
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| 6503. |
Which is a shrink of an exponential growth function? f(x) = 1/3(3x) f(x) = 3(3x) f(x) = 1/3(1/3)x f(x) = 3(1/3)x |
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Answer» Which is a shrink of an exponential growth function? f(x) = 1/3(3x) f(x) = 3(3x) f(x) = 1/3(1/3)x f(x) = 3(1/3)x Solution: |
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| 6504. |
What is the formula of (1 - cos x) / sin x? |
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Answer» The formula of(1 - cos x) / sin x = tan (x/2) As we know that (1 - cos x) = 2sin2(x/2)and sin x = 2sin (x/2).cos (x/2) |
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| 6505. |
Imagine that $1 = €1.40. Sam spends €50 and has €34 left. How many dollars did he start with? |
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Answer» Imagine that $1 = €1.40. Sam spends €50 and has €34 left. How many dollars did he start with? Solution: |
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| 6506. |
The diagonals of a rhombus are 6cm and 8cm. The area of the rhombus is |
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Answer» The diagonals of a rhombus are 6cm and 8cm. The area of the rhombus is Solution: |
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| 6507. |
Find the exact length of the curve. y = ln (1 − x2), 0 ≤ x ≤ 1/2 |
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Answer» The exact length of the curve. y = ln (1 − x2), 0 ≤ x ≤ 1/2is ln (3) - 1/2 units. The exact length of a curve is a geometrical concept that is addressed by integral calculus. It is a method for calculating the exact lengths of line segments. |
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| 6508. |
The jogging track is a mile long. If Ashley jogged around it 4 times, how far did she run? |
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Answer» The jogging track is a mile long. If Ashley jogged around it 4 times, how far did she run? Solution: |
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| 6509. |
Which one of the letters does not belong in the following series: D - F - H - J - K - N - P - R. |
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Answer» Which one of the letters does not belong in the following series: D - F - H - J - K - N - P - R. Solution: |
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| 6510. |
What is the answer of zero to the power of 2? |
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Answer» The answer of zero to the power of 2 is zero (0). We are going to solve the questionby usingthe multiplication rule of exponents. |
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| 6511. |
Describe the graph of y = 4[x+2] on [0, 3) be specific in your description. |
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Answer» The description is mentioned in the below explanation. An integer is a number with no decimal or fractional part from the set of negative and positive numbers, including zero. |
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| 6512. |
How do Ifigure out a percentage of a number? |
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Answer» The percentage of a number is calculatedby dividing that number by the total quantity and then multiplying it with 100. Percentage is a ratio of a number expressed out of 100. It is denoted with the symbol % |
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| 6513. |
Solve for x, 64x= 16(x-1) |
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Answer» Solve for x, 64x= 16(x-1) Solution: |
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| 6514. |
Find the general solution of the given second-order differential equation. y'' + 36y = 0. |
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Answer» Find the general solution of the given second-order differential equation. y'' + 36y = 0. Solution: |
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| 6515. |
Find the length of the curve. r(t) = 5t, 3 cos(t), 3 sin(t) , -2 ≤ t ≤ 2? |
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Answer» Find the length of the curve. r(t) = 5t, 3 cos(t), 3 sin(t) , -2 ≤ t ≤ 2? Solution: |
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| 6516. |
What are the coordinates of the center of the circle that passes through the points (1, 1), (1, 5), and (5, 5)? |
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Answer» What are the coordinates of the center of the circle that passes through the points (1, 1), (1, 5), and (5, 5)? Solution: |
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| 6517. |
What is the solution to the equation 9(x + 2) = 27? |
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Answer» What is the solution to the equation 9(x + 2) = 27? Solution: |
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| 6518. |
Probability of rolling a sum of 6 with two dice? |
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Answer» The probabilityof rolling a sum of 6 with two dice is 5/36. We will be using the concept of theprobabilityof rolling a die to solve this. |
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| 6519. |
What are the vertices, foci, and asymptotes of the hyperbola with the equation 16x2- 4y2= 64. |
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Answer» What are the vertices, foci, and asymptotes of the hyperbola with the equation 16x2- 4y2= 64. Solution: |
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| 6520. |
What is the sum of the geometric sequence -4, 24, -144, ... if there are 8 terms? |
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Answer» What is the sum of the geometric sequence -4, 24, -144, ... if there are 8 terms? Solution: |
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| 6521. |
What is the answer of 20 to the power of 2? |
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Answer» The answer of 20 to the power of 2 is 400. The power of any number represents how many times we use the given number in a multiplication. We will solve the questionby usingthe multiplication rule of exponents and power. |
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| 6522. |
What is the Greatest Common Factor of 42, 126, and 210? |
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Answer» The Greatest Common Factor of 42, 126, and 210 is 42. We will be using the concept of GCF to solve this. |
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| 6523. |
A swimming pool is 12 meters, long 6 meters wide, and1 meter deep. Find the quantity of water in the pool. |
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Answer» A swimming pool is 12 meters, long 6 meters wide, and1 meter deep. Thequantityof water in the pool is1000 × 72 = 72000 liters We will use the concept of the volume of the cuboid in order to find the quantity of water in the pool. |
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| 6524. |
Factor completely 4x² + 25x + 6. (4x + 1)(x + 6), (4x + 6)(x + 1), (2x + 3)(2x + 2), (2x + 6)(2x + 1) |
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Answer» Factor completely 4x² + 25x + 6. (4x + 1)(x + 6), (4x + 6)(x + 1), (2x + 3)(2x + 2), (2x + 6)(2x + 1) Solution: |
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| 6525. |
The product of a + 3 and - 2a² + 15a + 6 is - 2a³ + xa² + 51a + 18. What is the value of x? |
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Answer» The product of a + 3 and - 2a² + 15a + 6 is - 2a³ + xa² + 51a + 18. What is the value of x? Solution: |
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| 6526. |
Number name according to international system of numeration - 41830005 |
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Answer» According to international system of numeration, forty-onemillioneight hundred thirtythousandand five is the number name of 41830005. The place value system plays an important role in understanding how big the given numeral is. |
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| 6527. |
Evaluate 10 + 4(3 + 2) + 5 + (12 ÷ 6). |
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Answer» The simplified answer to10 + 4(3 + 2) + 5 + (12 ÷ 6) is 37. BODMASis used to explain the order of operation ina mathematical expression. |
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| 6528. |
How to find the y-intercept of a quadratic function? |
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Answer» To find the y-intercept of a line, we substitute x= 0 in the equation and find the corresponding value of y. The x-intercept of a line is that point where it cuts the x-axis of the graph, and the y-intercept of a line is that point where it cuts the y-axis of the graph. |
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| 6529. |
a) 3 matchsticks b) 4 matchsticks c) 5 matchsticks d) 6 matchsticks |
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Answer» We can make triangles with 3, 5, and 6 match sticks. A triangleis defined as aclosed figure made with 3 line segments that form the shape of a triangle. |
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| 6530. |
Try to construct triangles using match sticks some are shown here can you make a triangle with |
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Answer» We can make triangles with 3, 5, and 6 match sticks. A triangleis defined as aclosed figure made with 3 line segments that form the shape of a triangle. |
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| 6531. |
What is 5 to the power of negative 2? |
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Answer» 5 to the power of negative 2 is 0.04. We will be looking at the concept of exponents in this question. Exponents are very important concepts in mathematics that are used to make calculations easier. |
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| 6532. |
Write an equation for the translation of y = 4/x that has the asymptotes x = 7 and y = 6 |
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Answer» Write an equation for the translation of y = 4/x that has the asymptotes x = 7 and y = 6 Solution: |
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| 6533. |
How many inches are in 8 Feet? |
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Answer» 8 feet is equal to 96 inches Inches and feet are different standard units of measurements. |
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| 6534. |
One factor of f(x) = x2+ 9x + 14is (x + 7). What are all the roots of the function? Use the factor and remainder theorem. |
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Answer» The roots of the function f(x) = x2+ 9x + 14 are -7 and -2. The factortheorem is used to check if a number is the factor of a particular function or not. Let's solve a problem related to this concept. |
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| 6535. |
In a circle with a diameter of 32, the area of a sector with angle t is what? |
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Answer» In a circle with a diameter of 32, the area of a sector with angle t is 2.24t. Circles are very important and interesting shapes that forman integral part of geometry in mathematics. Now, let's solve a question related to the concepts of circles. |
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| 6536. |
Find the arc length function for the curve y = 2x3/2 with starting point P(16, 128)? |
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Answer» Find the arc length function for the curve y = 2x3/2 with starting point P(16, 128)? Solution: |
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| 6537. |
How many variable terms are in the expression 3x3y + 5x2 + y + 9? |
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Answer» How many variable terms are in the expression 3x3y + 5x2 + y + 9? Solution: |
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| 6538. |
If (6y - 11)(6y + 11) = ay2 - b, what is the value of a? |
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Answer» If (6y - 11)(6y + 11) = ay2- b, what is the value of a? Solution: |
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| 6539. |
What is infinity to the power of 0? |
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Answer» Infinity to the power of zero is equal to one. We will be looking at some interesting properties of exponents in this section. |
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| 6540. |
Let f and g be the functions given by f(x) = ex and g(x) = lnx. Find the function f(g(x)). |
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Answer» Let f and g be the functions given by f(x) = ex and g(x) = lnx, thenthe function f(g(x)) = x We will use the concept of functions in order to find f(g(x)). |
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| 6541. |
What is the value of the function at x = 2? |
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Answer» What is the value of the function at x = 2?
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| 6542. |
Identify the 42nd term of an arithmetic sequence where a1= -12 and a27 = 66. |
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Answer» Identify the 42nd term of an arithmetic sequence where a1= -12 and a27 = 66. Solution: |
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| 6543. |
What is 10 to the power of negative 7? |
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Answer» 10to the power of negative 7 is equal to 0.0000001. We will be looking at the concept of exponents in this section. Exponents are very crucial for calculations. |
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| 6544. |
Find the points on the surface y2 = 64 + xz that are closest to the origin. (x, y, z) = ( ) (smaller y-value) (x, y, z) = ( ) (larger y-value) |
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Answer» Find the points on the surface y2= 64 + xz that are closest to the origin. Solution: |
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| 6545. |
How many 16 oz bottles of water equal a gallon? |
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Answer» 8 bottles of 16 oz are required to make one gallon. Ounces (oz)' and 'Gallons' are units of measurement to measure volume and fluid capacity. |
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| 6546. |
Calculate the median from the following data: Marks 0 – 10 10 – 30 30 – 60 60 – 80 80 – 90 Number of students 5 15 30 8 2 |
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Answer» The median for the given data is 40. The median is the middle valueof the sorted data set, obtained after arranging the data in ascending order. |
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| 6547. |
In a right triangle, the sine of one acute angle is equal to the ________ of the other acute angle. |
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Answer» In a right triangle, the sine of one acute angle is equal to the cos of the other acute angle. We will use the concepts of trigonometry and right-angled triangle to find the required answer. |
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| 6548. |
Write the quadratic function f(x) = x2 + 8x + 3 in vertex form. |
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Answer» Write the quadratic function f(x) = x2 + 8x + 3 in vertex form. Solution: |
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| 6549. |
Find the exact length of the curve. y = ln(1-x2), 0 ≤ x ≤ 1/7. |
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Answer» Find the exact length of the curve. y = ln(1- x2), 0 ≤ x ≤ 1/7. Solution: |
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| 6550. |
How many zeros does the function f(x) = 3x12 - 17x8 + 11x4 - 6x + 23 have? |
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Answer» How many zeros does the function f(x) = 3x12 - 17x8 + 11x4 - 6x + 23 have? Solution: |
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