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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.
| 5551. |
What is wrong with the following equation? (x2 + x - 42)/(x - 6) = x + 7 (x - 6)(x + 7) ≠ x2 + x - 42 The left-hand side is not defined for x = 0, but the right-hand side is. The left-hand side is not defined for x = 6, but the right-hand side is. None of these - the equation is correct. |
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Answer» What is wrong with the following equation? (x2+ x - 42)/(x - 6) = x + 7 Solution: |
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| 5552. |
What is 21/4 as a mixed number? |
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Answer» 21/4 as a mixed number is5 1/4. Animproper fractionis a typeof fractionwhere the numerator is greater than or equal to the denominator. |
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| 5553. |
The lateral surface area of the given cone Ais exactly 1/2 the lateral surface area of cylinder B. Is it true or false? |
| Answer» It is true that thelateral surface area of the given cone Ais exactly 1/2 the lateral surface area of cylinder B. | |
| 5554. |
Simplify using the vertical method. (3k + 4)(3k2 - 5k - 3) |
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Answer» Simplify using the vertical method. (3k + 4)(3k2 - 5k - 3) Solution: |
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| 5555. |
Solve: x2 + 4x - 12 = 0 x = 2, x = -6 x = -2, x = -6 x = 3, x = -4 x = -3, x = 4 |
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Answer» Solve: x2 + 4x - 12 = 0 Solution: |
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| 5556. |
1) 3 cm 2) 5 cm 3) 5.5 cm |
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Answer» The surface area of a cube is given by 6a2. 1) 54cm2 2)150cm2 3) 181.5cm2 A cube is a 3-dimensional object with 6 faces, 8 vertices, and 12 edges. |
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| 5557. |
Find the total surface area of cubes having the following sides. |
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Answer» The surface area of a cube is given by 6a2. 1) 54cm2 2)150cm2 3) 181.5cm2 A cube is a 3-dimensional object with 6 faces, 8 vertices, and 12 edges. |
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| 5558. |
What digits can be in the one's place of a number that has 5 as a factor |
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Answer» The digits present in the one's place of a number that has a factor of 5 are 0 and 5. A divisibility rule is a technique that determines if a number can be completely divided by another. |
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| 5559. |
Consider the vector field f(x, y, z) = xi + yj + zk. Find a function f such that f = ∇f and f(0, 0, 0) = 0. |
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Answer» Consider the vector field f(x, y, z) = xi + yj + zk. Find a function f such that f = ∇f and f(0, 0, 0) = 0. Solution: |
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| 5560. |
Which number line represents the solution to 2.5 - 1.2x < 6.5 - 3.2x? |
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Answer» Which number line represents the solution to 2.5 - 1.2x < 6.5 - 3.2x? Solution: |
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| 5561. |
If tan x° = z/10 and cos x° = 10/y, what is the value of sin x°? |
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Answer» If tanx° = z/10 and cosx° = 10/y, what is the value of sinx°? Solution: |
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| 5562. |
The table represents the multiplication of two binomials. What is the value of A? |
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Answer» The table represents the multiplication of two binomials. What is the value of A? Solution: |
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| 5563. |
What is the value of the integral eaxcos (bx)? |
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Answer» What is the value of the integral eaxcos (bx)? Solution: |
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| 5564. |
Find the slope of the line that passes through the points (1, −3) and (3, −5). |
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Answer» The slopeof the line that passes through the points (1, −3) and (3, −5) is -1. The slope of any line is the inclination of the given line with respect to the x-axis. They are used to extract important information from lines. |
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| 5565. |
Find the exact length of the curve, y = x3/3 + 1/4x , 1 ≤ x ≤ 3. |
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Answer» Find the exact length of the curve, y = x3/3 + 1/4x , 1 ≤ x ≤ 3. Solution: |
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| 5566. |
Find the slope and y-intercept of the line. 18x + 4y = 112 |
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Answer» Find the slope and y-intercept of the line. 18x + 4y = 112 Solution: |
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| 5567. |
Which algebraic expression is a polynomial with a degree of 4? (a)5x4+ square root of 4x (b)x5- 6x4+ 14x3+ x2 (c) 9x4- x3- x/5 (d) 2x4- 6x4+ 14/x |
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Answer» Which algebraic expression is a polynomial with a degree of 4? Solution: |
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| 5568. |
What do the angles of a triangle add up to? |
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Answer» Theangles of a triangle add up to 180 degrees. A triangle is a closed figure or shape with 3 sides, 3 angles, and 3 vertices. |
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| 5569. |
Take 2y2 - 3y - 5 from y3 - 6y2 + 5y. Select the correct answer. y3- 2y2+ 3y + 5 y3- 4y2+ 2y - 5 y3- 4y2+ 2y + 5 y3- 8y2+ 8y + 5 |
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Answer» Take 2y2- 3y - 5 from y3- 6y2+ 5y. Select the correct answer. Solution: |
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| 5570. |
What is 2/3of 9? |
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Answer» 2/3of 9is 6 Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 5571. |
An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount? |
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Answer» An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount? Solution: |
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| 5572. |
Is multiplication associative for rational numbers? |
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Answer» The multiplication is associative in the set of rational numbers. The multiplication is commutative and associative in the set of rational numbers. |
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| 5573. |
Find the linearization l(x) of the function at a. f(x) = x1/2, a = 4 |
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Answer» Find the linearization l(x) of the function at a. f(x) = x1/2, a = 4 Solution: |
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| 5574. |
If a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered? |
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Answer» If a polynomial has three terms, x2+ 12x + 36, which factoring method can be considered? Solution: |
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| 5575. |
Simplify the expression: cot x sin x - sin + cos x |
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Answer» Simplify the expression: cot x sin x - sin + cos x Solution: |
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| 5576. |
For the graph below, what should the domain be so that the function is at least 300? Graph of y equals minus 2 times the square of x plus 50 times x plus 300 |
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Answer» For the graph below, what should the domain be so that the function is at least 300? Graph of y equals minus 2 times the square of x plus 50 times x plus 300
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| 5577. |
Is one liter about an ounce, a pint, a quart, or a gallon? |
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Answer» one liter is almost about a quart. ( 1l = 1.05669 quart) Let us see how much 1 liter is for each of them. |
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| 5578. |
Choose the correct sum of the polynomials (2x3 - 5x - 1) + (4x3 + 8x + 3). 2x3 - 3x - 4 6x3 + 3x + 2 2x3 + 3x + 2 6x3 - 3x - 2 |
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Answer» Choose the correct sum of the polynomials (2x3- 5x - 1) + (4x3+ 8x + 3). Solution: |
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| 5579. |
Give the values a, b, and c needed to write the equations standard form. 2/3(x - 4)(x + 5)=1 |
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Answer» Give the values a, b, and c needed to write the equations in standard form. 2/3(x-4)(x+5)=1 Solution: |
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| 5580. |
What is 9/4 as a mixed number? |
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Answer» 9/4 as a mixed number is2 1/4 Animproper fractionis a typeof fractionwhere the numerator is greater than or equal to the denominator. |
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| 5581. |
If f(x) = 4x + 7, g(x) = 3x2, find (f + g)(x). |
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Answer» If f(x) = 4x + 7, g(x) = 3x2, find (f + g)(x). Solution: |
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| 5582. |
Which of the following is a polynomial with roots 5, 4i, and -4i? A) f(x) = x3 - 5x2 + 20x - 16 B) f(x) = x3 - 5x2 + 16x - 80 C) f(x) = x3 - 20x2 + 5x - 16 D) f(x) = x3 - 16x2 + 80x - 5 |
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Answer» Which of the following is a polynomial with roots 5, 4i, and -4i? Solution: |
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| 5583. |
Find a polynomial function of degree 3 with real coefficients that has the given zeros of -3, -1 and 4 for which f(-2) = 24. |
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Answer» Find a polynomial function of degree 3 with real coefficients that has the givenzeros of -3, -1 and 4 for which f(-2) = 24. Solution: |
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| 5584. |
Find the value of a in the diagram of the right triangle. Round to the nearest tenth. |
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Answer» Find the value of a in the diagram of the right triangle. Round to the nearest tenth.
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| 5585. |
Solve x2 + 14x = -24 by completing the square. What is the solution set of the equation? {-12, -2}, {-7, 7}, {-6, -4} , {-5, 5} |
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Answer» Solve x2 + 14x = -24 by completing the square. What is the solution set of the equation? Solution: |
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| 5586. |
Which of the following is a solution of y > |x| - 6? i) (5, -1) ii) (-1, -5) iii) (-5, 1) |
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Answer» Which of the following is a solution of y > |x| - 6? Solution: |
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| 5587. |
A rectangular solid has sides of 7 cm, 9 cm, and 11 cm. What is its surface area? |
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Answer» A rectangular solid has sides of 7 cm, 9 cm, and 11 cm. What is its surface area? Solution: |
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| 5588. |
Solve:12x - 6x - 13 = 0 |
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Answer» The value of x for the given equation 12x - 6x- 13 = 0 is 13/6. The solution to this question is obtained by combining the like terms, thereby simplifying the given expression. |
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| 5589. |
What is the simplest form of the radical expression sqrt 2 + sqrt 5/sqrt 2 - sqrt 5 |
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Answer» What is the simplest form of the radical expression sqrt 2 + sqrt 5/sqrt 2 - sqrt 5 Solution: |
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| 5590. |
What is 7/4 as a mixed number? |
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Answer» 7/4as a mixed number can be written as1 3/4 A mixed fraction is defined as a fraction formedby combining a whole number and a fraction. |
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| 5591. |
Which method would be the simplest way to solve the system? 7x + 5y = 19 and -7x - 2y = -16 Graphing Substitution Elimination Distributive |
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Answer» Which method would be the simplest way to solve the system? 7x + 5y = 19 and -7x - 2y = -16 Solution: |
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| 5592. |
What is theexample of a proper fraction? |
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Answer» What is theexample of a proper fraction? Solution: |
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| 5593. |
What is an equation in standard form of an ellipse centered at the origin with vertex (-7, 0) and co-vertex(0, 5)? |
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Answer» What is an equation in standard form of an ellipse centered at the origin with vertex (-7, 0)and co-vertex(0, 5)? Solution: |
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| 5594. |
Angles 1 and 2 are complementary and congruent. What is the measure of angle 1? |
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Answer» Angles 1 and 2 are complementary and congruent. What is the measure of angle 1? Solution: |
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| 5595. |
What is the completely factored form of 8x2 - 50? |
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Answer» What is the completely factored form of 8x2 - 50? Solution: |
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| 5596. |
Which expression does not factor? m3 + 1 m3 - 1 m2 + 1 m2 - 1 |
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Answer» Which expression does not factor? Solution: |
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| 5597. |
What is 29/5 as a mixed number? |
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Answer» 29/5 as a mixed number can be written as5 4/5 Amixed fractionis defined as a fraction formedby combining a whole number and a fraction. |
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| 5598. |
Solve and check: 1/(x + 3) = (x + 10)/(x - 2) from least to greatest, the solutions are x = ? and x = ? |
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Answer» Solve and check: 1/(x + 3) = (x + 10)/(x - 2) from least to greatest, the solutions are x = ? and x = ? Solution: |
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| 5599. |
Solve by Substitution y=x2+3x-7, 3x-y=-2 |
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Answer» Solve by Substitution y=x2+3x-7, 3x-y=-2 Solution: |
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| 5600. |
What is the solution to the linear equation? 2.8y + 6 + 0.2y = 5y - 14. |
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Answer» What is the solution to the linear equation? 2.8y + 6 + 0.2y = 5y - 14. Solution: |
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