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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.
| 701. |
Write five rational numbers greater than -2? |
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Answer» Write five rational numbers greater than -2? Solution: |
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| 702. |
If (-1, y) lies on the graph of y = 22x, then y = |
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Answer» If (-1, y) lies on the graph of y = 22x, then y = Solution: |
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| 703. |
If f(x) = log3 (x + 1), what is f-1(2)? |
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Answer» If f(x) = log3 (x + 1), what is f-1(2)? Solution: |
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| 704. |
Solve this inequality: 8z + 3 - 2z < 51 |
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Answer» Solve this inequality: 8z + 3 - 2z < 51 Solution: |
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| 705. |
What is the range of y = -3sin(x) - 4? |
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Answer» What is the range of y = -3sin(x) - 4? Solution: |
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| 706. |
Which expression is equivalent to log18 - log(p + 2)? logStartFraction p + 2 Over 18 EndFraction log StartFraction 18 Over p + 2 EndFraction log StartFraction 20 Over p EndFraction log left-bracket 18 times (p + 2) right-bracket |
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Answer» Which expression is equivalent to log18 - log(p + 2)? Solution: |
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| 707. |
What is the discriminant of 9x2 + 2 = 10x? |
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Answer» What is the discriminant of 9x2 + 2 = 10x? Solution: |
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| 708. |
What is the factored form of 5x2 + 28x + 15? |
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Answer» What is the factored form of 5x2 + 28x + 15? Solution: |
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| 709. |
Find the 110th term of the sequence -7, 3, 13, 23 |
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Answer» Find the 110th term of the sequence -7, 3, 13, 23 Solution: |
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| 710. |
Which of the following points are solutions to the equation 3x - 4y - 8 = 12? Select all that apply. (0, -5), (4, -2), (8, 2), (-16, -17), (-1, -8), (-40, -34) |
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Answer» Which of the following points are solutions to the equation 3x - 4y - 8 = 12? Select all that apply. Solution: |
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| 711. |
If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8? |
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Answer» If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8? Solution: |
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| 712. |
If 6 men can do a job in 14 days, how many fewer men would be needed if they were allowed 21 days for the job? |
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Answer» If 6 men can do a job in 14 days, how many fewer men would be needed if they were allowed 21 days for the job? Solution: |
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| 713. |
Find the probability that of 25 randomly selected students, no two share the same birthday. |
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Answer» Find the probability that of 25 randomly selected students, no two share the same birthday. Solution: |
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| 714. |
A varies jointly as b and c. Find a when b = 7 and c = 9, if the constant of the variation is 3. |
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Answer» A varies jointly as b and c. Find a when b = 7 and c = 9, if the constant ofthe variation is 3. A joint variation is a direct variation with two or more variables.A varies jointly as b and c is equivalent to a = kbc, where k isa non-zero constant variation that is also known as the constant of proportionality. |
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| 715. |
What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)? k = -8/5, k= - 5/8, k= 5/8, k= 8/5 |
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Answer» What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)? Solution: |
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| 716. |
Suppose that y varies jointly with w and x and inversely with z and y = 360 when w = 8, x = 25 and z = 5. How do you write the equation that models the relationship? Then find y when w = 4, x = 4 and z = 3? |
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Answer» Suppose that y varies jointly with w and x and inversely with z and y = 360 when w = 8, x = 25 and z = 5. How do you write the equation that models the relationship? Then find y when w = 4, x = 4 and z = 3? Solution: |
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| 717. |
What is the quotient (2x2 + 10x + 12) ÷ (x + 3)? |
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Answer» What is the quotient (2x2 + 10x + 12) ÷ (x + 3)? Solution: |
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| 718. |
Find the exact values of sin(u/2), cos(u/2), and tan(u/2) using the half-angle formulas. sec (u) = -5/2 π/2 < u < π |
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Answer» Find the exact values of sin(u/2), cos(u/2), and tan(u/2) using the half-angle formulas. sec (u) = -5/2 π/2 < u < π Solution: |
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| 719. |
Given the function f(x) = log5(x + 1), find the value of f-1(2). |
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Answer» Given the function f(x) = log5(x + 1), find the value of f-1(2). Solution: |
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| 720. |
Write in international system 203590159. |
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Answer» Write in international system 203590159. Solution: |
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| 721. |
Which quadratic equation is equivalent to (x + 2)2+ 5 (x + 2) - 6 = 0? |
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Answer» Which quadratic equation is equivalent to (x + 2)2+ 5 (x + 2) - 6 = 0? Solution: |
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| 722. |
What is an equation for the line with slope 2/3 and y-intercept 9? |
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Answer» What is an equation for the line with slope 2/3 and y-intercept 9? Solution: |
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| 723. |
Solve using the quadratic formula x2 - 2x - 4 = 0 |
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Answer» Solve using the quadratic formula x2 - 2x - 4 = 0 Solution: |
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| 724. |
Solve quadratic equation (x + 3)2 = 49? |
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Answer» Solve quadratic equation (x + 3)2 = 49? Solution: |
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| 725. |
If f(x) = 2x - 1, g(x) = (x + 1)/2, show that fog = gof = x. |
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Answer» If f(x) = 2x - 1, g(x) = (x + 1)/2, show that fog = gof = x. Solution: |
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| 726. |
Find two numbers with a sum of 20 and a difference of 14. |
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Answer» Find two numbers with a sum of 20 and a difference of 14. Solution: |
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| 727. |
Let u = , v = . find u + v. |
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Answer» Let u = <-3, 4>, v = <8, 2>. find u + v. Solution: |
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| 728. |
What is the difference between a sequence and a series? |
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Answer» A sequence is a list of numbers in a certain order, whereas, series is the sum of the sequence. Let us findout the difference between a sequence and a series. |
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| 729. |
Solve quadratic equation x2 + 6x = -18? |
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Answer» Solve quadratic equation x2 + 6x = -18? Solution: |
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| 730. |
Find the circular permutation for 5 things taken 5 at a time. |
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Answer» Find the circular permutation for 5 things taken 5 at a time. Solution: |
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| 731. |
A trapezoid has an area of 166.5 in.², a height of 9 in., and one base measuring 15 in. What is the length of the other base? |
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Answer» A trapezoid has an area of 166.5 in.², a height of 9 in., and one base measuring 15 in. What is the length of the other base? Solution: |
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| 732. |
Write the smallest 5-digit number and express it in the form of its prime factors by tree diagram. |
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Answer» Write the smallest 5-digit number and express it in the form of its prime factors by tree diagram. Solution: |
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| 733. |
How do you graph y = -cos2x? |
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Answer» How do you graph y = -cos2x? Solution: |
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| 734. |
Find the derivative of f(x) = 4x + 7 at x = 5. |
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Answer» Find the derivative of f(x) = 4x + 7 at x = 5. Solution: |
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| 735. |
Using synthetic division, what is the quotient (2x3+ 3x - 22) ÷ (x - 2)? |
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Answer» Using synthetic division, what is the quotient (2x3+ 3x - 22) ÷ (x - 2)? Solution: |
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| 736. |
Graph the six terms of a finite sequence where a1= 5 and r = 1.25 |
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Answer» Graph the six terms of a finite sequence where a1= 5 and r = 1.25 Solution: |
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| 737. |
Which expression is a factor of 3xy + 2x - 18y - 12? |
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Answer» Which expression is a factor of 3xy + 2x - 18y - 12? Solution: |
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| 738. |
Prove that 1.2 + 2.3+.......n(n + 1) = n(n + 1)(n + 2)/3 in mathematical induction. |
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Answer» Prove that 1.2 + 2.3+.......n(n + 1) = n(n + 1)(n + 2)/3 in mathematical induction. Solution: |
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| 739. |
Prove 3n < n! by induction using a basis n > 3. |
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Answer» 3(k + 1) < (k + 1)! We will use mathematical induction to prove this. |
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| 740. |
Evaluate the cube root of 7 multiplied by the square root of 7 over the sixth root of 7 to the power of 5? |
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Answer» Evaluate the cube root of 7 multiplied by the square root of 7 over the sixth root of 7 to the power of 5? Solution: |
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| 741. |
What is the simplified form of the cube root of x squared times the third root of x squared? |
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Answer» What is the simplified form of the cube root of x squared times the third root of x squared? Solution: |
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| 742. |
Rewrite the radical as a rational exponent. the cube root of 2 to the seventh power. |
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Answer» Rewrite the radical as a rational exponent. the cube root of 2 to the seventh power. Solution: |
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| 743. |
Vector A points in the negative x direction. Vector B points at an angle of 30° above the positive x axis. Vector C has a magnitude of 17 m and points in a direction 42.0°below the positive x axis. Given that A + B + C =0, find the magnitudes of A and B. |
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Answer» Vector A points in the negative x direction. Vector B points at an angle of 30.0°above the positive x axis. Vector C has a magnitude of 17 m and points in a direction 42.0°below the positive x axis. Given that A + B + C = 0, find the magnitudes of A and B. Solution: |
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| 744. |
A corollary is a statement that can be easily proved using a theorem. State true/false. |
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Answer» It is true that acorollary is a statement that can be easily proved using a theorem. We will use the concepts of mathematical induction and definition in order to state true or false. |
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| 745. |
Find the slope of the line that passes through the points (3, 2) and (-2, -2). |
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Answer» Find the slope of the line that passes through the points (3, 2) and (-2, -2). Solution: |
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| 746. |
What is the slope of the line which passes through (1, 4) and (0, 1)? |
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Answer» What is the slope of the line which passes through (1, 4) and (0, 1)? Solution: |
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| 747. |
What is the slope of the line which passes through (4, 7) and (2, 3)? |
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Answer» What is the slope of the line which passes through (4, 7) and (2, 3)? Solution: |
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| 748. |
What is the slope of the line that passes through (-2, 7) and (4, 9)? |
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Answer» What is the slope of the line that passes through (-2, 7) and (4, 9)? Solution: |
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| 749. |
The slope of the line containing the points (-2,3) and (-3,1) is? |
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Answer» The slope of the line containing the points (-2,3) and (-3,1) is? Solution: |
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| 750. |
Identify the domain of the graph of y = -x² - 6x - 13. All real numbers x ≤ - 4, x ≥ - 6, x ≥ - 2. |
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Answer» Identify the domain of the graph of y = -x² - 6x - 13. All real numbers x ≤ - 4, x ≥ - 6, x ≥ - 2. Solution: |
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