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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.
| 2601. |
Solve the triangle. A = 46°, a = 33, b = 26 |
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Answer» Solve the triangle. A = 46°, a = 33, b = 26 Solution: |
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| 2602. |
What is the algebraic property demonstrated by if x = 3 and 3 = y, then x = y? |
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Answer» What is the algebraic property demonstrated by if x = 3 and 3 = y, then x = y? Solution: |
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| 2603. |
If the tangent line to y = f(x) at (4, 2) passes through the point (0, 1), find f(4) and f' (4). |
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Answer» If the tangent line to y = f(x) at (4, 2) passes through the point (0, 1), find f(4) and f'(4). Solution: |
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| 2604. |
If an exterior angle of a regular polygon measures 24°, how many sides does the polygon have? |
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Answer» If an exterior angle of a regular polygon measures 24°, how many sides does the polygon have? Solution: |
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| 2605. |
When the positive integer n is divided by 3, the remainder is 2 and when n is divided by 5, the remainder is 1. What is the least possible value of n? |
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Answer» When the positive integer n is divided by 3, the remainder is 2 and when n is divided by 5, the remainder is 1. What is the least possible value of n? Solution: |
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| 2606. |
What is the possible number of negative real roots of the function f(x) = x5 - 2x3 + 7x2 + 2x - 2? |
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Answer» What is the possible number of negative real roots of the function f(x) = x5- 2x3+ 7x2+ 2x - 2? Solution: |
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| 2607. |
A function of the form f(x) = mx + b, where m and b are real numbers, is called a _____ function. |
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Answer» A function of the form f(x) = mx + b, where m and b are real numbers, is called a _____ function. Solution: |
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| 2608. |
Solve the given initial-value problem. The DE is homogeneous. xy2dy/dx = y3 - x3; y(1) = 2. |
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Answer» Solve the given initial-value problem. The DE is homogeneous. xy2dy/dx = y3- x3; y(1) = 2. Solution: |
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| 2609. |
What is the domain of the given function? {(3, -2), (6, 1), (-1, 4), (5, 9), (-4, 0)} |
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Answer» What is the domain of the given function? {(3, -2), (6, 1), (-1, 4), (5, 9), (-4, 0)} Solution: |
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| 2610. |
Let f(x) = 4x² + x + 1 and g(x) = x² - 2. Find g(f(x)). Show each step of your work. |
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Answer» Let f(x) = 4x² + x + 1 and g(x) = x² - 2. Find g(f(x)). Show each step of your work. Solution: |
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| 2611. |
One of the factors of p5 - 144p3 is p3,p + 12,p - 12,All of the above |
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Answer» One of the factors of p5- 144p3is Solution: |
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| 2612. |
The side length, s, of a cube is x - 2y. If V = s³, what is the volume of the cube? |
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Answer» The side length, s, of a cube is x - 2y. If V = s³, what is the volume of the cube? Solution: |
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| 2613. |
If we divide the polynomial x4 + 4x3 + 2x2 + x + 4 by x2 + 3x, what will be the remainder? |
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Answer» If we divide the polynomial x4+ 4x3+ 2x2+ x + 4 by x2+ 3x, what will be the remainder? Solution: |
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| 2614. |
Which of the following graphs represents the function f(x) = x3- x2-10x-8? |
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Answer» Which of the following graphs represents the function f(x) = x3- x2-10x-8? Solution: |
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| 2615. |
Evaluate the function f(x) = -2x2 - 3x + 5 for the input value -3. |
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Answer» Evaluate the function f(x) = -2x2 - 3x + 5 for the input value -3. Solution: |
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| 2616. |
Choose the correct product of (3x - 8)2. 9x2 - 64 9x2+ 64 9x2- 48x + 64 9x2+ 48x + 64 |
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Answer» Choose the correct product of (3x - 8)2 Solution: |
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| 2617. |
Solve for x: 2/3(x - 2) = 4x. -2/5,-5/2,2/5,5 |
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Answer» Solve for x: 2/3 (x - 2) = 4x. Solution: |
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| 2618. |
A circle has a radius of 3 inches, how do you find the length of an arc intercepted by a central angle whose measure is 2.5 radians? |
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Answer» A circle has a radius of 3 inches, how do you find the length of an arc intercepted by a central angle whose measure is 2.5 radians? Solution: |
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| 2619. |
What are the values for the coefficients and constant term of 0 = 2 + 3x2 - 5x? A =,B =,C = |
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Answer» What are the values for the coefficients and constant term of 0 = 2 + 3x2 - 5x? Solution: |
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| 2620. |
Factor completely 3x2 + x + 7. |
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Answer» Factor completely 3x2 + x + 7. Solution: |
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| 2621. |
A square with an area of 4in2 is dilated by a factor of 7. What is the area of the dilated square? |
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Answer» A square with an area of 4in2 is dilated by a factor of 7. What is the area of the dilated square? Solution: |
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| 2622. |
Solve the triangle. A = 46°, a = 34, b = 27 |
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Answer» Solve the triangle. A = 46°, a = 34, b = 27 Solution: |
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| 2623. |
What is the sum of the first seven terms of the geometric series? 3 + 12 + 48 + 192 + … |
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Answer» What is the sum of the first seven terms of the geometric series? 3 + 12 + 48 + 192 + … Solution: |
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| 2624. |
Which statements are true about the graph of the function f(x) = 6x -4 + x2? (i) The vertex form of the function is f(x) = (x -2)2 + 2. (ii) The vertex of the function is (-3, -13). (iii) The axis of symmetry for the function is x = 3. (iv) The graph increases over the interval (-3, infinity). (v) The function does not cross the x-axis. |
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Answer» Which statements are true about the graph of the function f(x) = 6x -4 + x2? (i) The vertex form of the function is f(x) = (x -2)2 + 2. (ii) The vertex of the function is (-3, -13). (iii) The axis of symmetry for the function is x = 3. (iv) The graph increases over the interval (-3, infinity). (v) The function does not cross the x-axis. Solution: |
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| 2625. |
What is a solution to (x + 6)(x + 2) = 60? x = - 6,x = - 4,x = 4,x = 12 |
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Answer» What is a solution to (x + 6)(x + 2) = 60? Solution: |
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| 2626. |
If a vector has direction angles α = π/4 and β = π/3, find the third direction angle γ. |
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Answer» If a vector has direction angles α = π/4 and β = π/3, find the third direction angle γ. Solution: |
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| 2627. |
A model of a car is 4 inches long. If the actual car is 8 feet long, find the scale of the model. |
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Answer» A model of a car is 4 inches long. If the actual car is 8 feet long, find the scale of the model. Solution: |
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| 2628. |
If the tangent line to y = f(x) at (3, 2) passes through the point (0, 1), find f(3) and f'(3)? |
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Answer» If the tangent line to y = f(x) at (3, 2) passes through the point (0, 1), find f(3) and f'(3)? Solution: |
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| 2629. |
What is the greatest common factor of the terms in the polynomial 12x4 + 2x3 -30x2? |
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Answer» What is the greatest common factor of the terms in the polynomial 12x4 + 2x3 -30x2? Solution: |
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| 2630. |
Let f(x) = x² + x + 2 and g(x) = 2x² + 5. Find f(g(x)). Show each step of your work. |
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Answer» Let f(x) = x² + x + 2 and g(x) = 2x² + 5. Find f(g(x)). Show each step of your work. Solution: |
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| 2631. |
What is the solution to the following system of equations? y = -x2 - 5x - 4, y = -x2 + 9x - 18 |
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Answer» What is the solution to the following system of equations? y = -x2 - 5x - 4, y = -x2 + 9x - 18 Solution: Given a set of linear equations |
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| 2632. |
Which polynomials are prime? Check all of the boxes that apply. x2 + 9,x2- 9,x2+ 3x + 9,-2x2+ 8 |
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Answer» Which polynomials are prime? Check all of the boxes that apply. Solution: |
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| 2633. |
What substitution should be used to rewrite 6(x + 5)² + 5(x + 5) - 4 = 0 as a quadratic equation? |
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Answer» What substitution should be used to rewrite 6(x + 5)² + 5(x + 5) - 4 = 0 as a quadratic equation? Solution: |
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| 2634. |
If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f - g)(2)? 12,14,36,38 |
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Answer» If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f - g)(2)? Solution: |
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| 2635. |
Find the point on the line y = 4x + 3 that is closest to the origin? |
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Answer» Find the point on the line y = 4x + 3 that is closest to the origin? Solution: |
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| 2636. |
The perimeter of square JKLM is 48 units. The length of J K is x + 3. What is the value of x? 6,9,12,15 |
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Answer» The perimeter of square JKLM is 48 units. The length of J K is x + 3. What is the value of x?
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| 2637. |
A general formula for a parabola is y2 = 4px. What is the value of p in the equation y2 = -4x? |
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Answer» A general formula for a parabola is y2= 4px. What is the value of p in the equation y2 = -4x? Solution: |
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| 2638. |
How do you graph f(x) = x2- 4x + 5? |
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Answer» How do you graph f(x) = x2- 4x + 5? Solution: |
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| 2639. |
What is (_) +(_) +(_) = 30. Fill the blanks using the numbers 1, 3, 5, 7, 9, 11, 13 and 15. |
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Answer» (_) +(_) +(_) = 30 the blanks can be filled in may different ways using the numbers 1, 3, 5, 7, 9, 11, 13 and 15. We know that some of the od numbers can never be even. Let us look at a few mathematical operations that will help us arrive at this number. |
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| 2640. |
What is the equation of the line perpendicular to -x + y = 7 and passing through (-1, -1)? |
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Answer» What is the equation of the line perpendicular to -x + y = 7 and passing through (-1, -1)? Solution: |
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| 2641. |
If f(x) = x3 - 2x2, which expression is equivalent to f(i)? - 2 + i,- 2 - i,2 + i,2 - i |
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Answer» If f(x) = x3 - 2x2, which expression is equivalent to f(i)? Solution: |
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| 2642. |
If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n? |
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Answer» If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n? Solution: |
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| 2643. |
Find points on the curve y = 2x3 + 3x2 - 12x + 4 where the tangent is horizontal? |
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Answer» Find points on the curve y = 2x3+ 3x2- 12x + 4 where the tangent is horizontal? Solution: |
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| 2644. |
Find the area of a triangle with base of 15m and altitude of 12m. |
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Answer» Find the area of a triangle with base of 15m and altitude of 12m. Solution: |
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| 2645. |
For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range. |
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Answer» For the function f(x) = -(x + 1)2+ 4, identify the vertex, domain, and range. Solution: |
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| 2646. |
Solve this equation: 80 = 3y + 2y + 4 + 1 |
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Answer» Solve this equation: 80 = 3y + 2y + 4 + 1 Solution: |
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| 2647. |
What is the first step when rewriting y = -4x2 + 2x - 7 in the form y = a(x - h)2 + k? |
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Answer» What is the first step when rewriting y = -4x² + 2x - 7 in the form y = a(x - h)² + k? Solution: |
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| 2648. |
A taxi driver filled his car petrol tank with 40 liters of petrol on Monday. The next day, he filled the tank with 50 liters of petrol. If petrol costs Rs. 44 per liter, how much did he spend in all on petrol? |
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Answer» The taxi driver spent Rs. 3960on petrol. We will find the total petrol in the tank. |
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| 2649. |
Find an equation of the plane through the points(0,9,9),(9,0,9) and(9,9,0) |
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Answer» Find an equation of the plane through the points(0, 9, 9), (9, 0, 9), (0, 9, 9), (9, 0, 9), and (9, 9, 0) Solution: |
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| 2650. |
A 5-card hand is dealt from a deck of 52 cards. What is the probability that all are hearts? |
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Answer» A 5-card hand is dealt from a deck of 52 cards. What is the probability that all are hearts? Solution: |
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