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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.
| 3651. |
What is 0.15 repeating as a fraction? |
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Answer» 0.15repeating as a fractioncan be written as 5/33 ina fraction. Fractions are a very important conceptthat is used in advanced mathematics topics as well. The repeating or recurring fractions are those which have an infinite number of decimal places following a pattern. |
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| 3652. |
What is 14 * 9? |
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Answer» 14 * 9 = 126 We will multiply 14 and 9 to find 14 * 9. |
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| 3653. |
Factorise: 2x2+ 2x - 364. |
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Answer» The factorization of 2x2+ 2x - 364 is (x + 14) (x - 13). A quadratic eqaution is in the the form of ax2+ bx + c = 0, where a is not equal to 0. |
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| 3654. |
Find the points on the curve y = 2x3 + 3x2 -12x + 5 where the tangent is horizontal? |
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Answer» Find the points on the curve y = 2x3+ 3x2- 12x + 5 where the tangent is horizontal? Solution: |
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| 3655. |
Toss a coin 5 times. What is the probability of getting exactly 2 tails? |
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Answer» Toss a coin 5 times. What is the probability of getting exactly 2 tails? Solution: |
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| 3656. |
What does an acute angle look like? |
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Answer» The measure of an acute anglelies between0° and 90°. A pair of open scissors look like an acute angle. Theangles measuring greater than 0° and less than 90° are called acute angles. |
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| 3657. |
What is the discriminant of the quadratic equation 3 - 4x = -6x2? -68, -56, 76, 88 |
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Answer» What is the discriminant of the quadratic equation 3 - 4x = -6x2? Solution: |
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| 3658. |
Find the points on the curve y = 2x3 + 3x2 -12x + 2 where the tangent is horizontal? |
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Answer» Find the points on the curve y = 2x3+ 3x2- 12x + 2 where the tangent is horizontal? Solution: |
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| 3659. |
Which ordered pair makes both inequalities true?y > -2x + 3 andy < x - 2 (0, 0) (0, -1) (1, 1) (3, 0) |
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Answer» Which ordered pair makes both inequalities true?y > -2x + 3 andy < x - 2 Solution: |
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| 3660. |
If $500,000 of 8% bonds are issued at 102, the amount of cash received from the sale is |
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Answer» If $500,000 of 8% bonds are issued at 102, the amount of cash received from the sale is Solution: |
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| 3661. |
Which description of the graph of the linear equality y ≥ 7x - 4 is correct? The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line. The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line. The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line. The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line. |
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Answer» Which description of the graph of the linear equality y ≥ 7x - 4 is correct? Solution: |
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| 3662. |
What is 80%as a fraction? |
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Answer» 80%as a fraction is 4/5 Percent means per hundred or for every hundred. We represent it as %. |
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| 3663. |
Find the standard form of the equation of each parabola satisfying the given conditions. Focus: (0, -25) Directrix: y = 25 |
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Answer» Find the standard form of the equation of each parabola satisfying the given conditions. Focus: (0, -25) Directrix: y = 25 Solution: |
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| 3664. |
The vertex angle of an isosceles triangle measures 84°. What is the measure of base angle? |
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Answer» The vertex angle of an isosceles triangle measures 84°. What is the measure of base angle? Solution: |
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| 3665. |
If events a and b are independent, what must be done to find the probability of events a and b? |
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Answer» For independent events a and b, P(a U b) = P(a) × P(b). We will use the concept of independent probability theorem to find the probability of events a and b. |
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| 3666. |
The slope of the line tangent to the graph of y = ln(1 - x) at x = -1 is? |
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Answer» The slope of the line tangent to the graph of y = ln(1 - x) at x = -1 is? Solution: |
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| 3667. |
What is the solution to the linear equation? 2x+y=1 and 3x-y=-6 |
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Answer» What is the solution to the linear equation? 2x+y=1 and 3x-y=-6 Solution: |
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| 3668. |
If cosθ = negative two over five and tanθ > 0, what is the value of sinθ? |
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Answer» If cosθ = negative two over five and tanθ > 0, what is the value of sinθ? Solution: |
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| 3669. |
Write an equation of the line that passes through the points (0, 1) and(-2, -5). |
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Answer» Write an equation of the line that passes through the points (0, 1) and(-2, -5). Solution: |
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| 3670. |
What is the solution to the equation 3(x - 1) - 2(2x + 1) = 8(x - 1)? |
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Answer» What is the solution to the equation 3(x - 1) - 2(2x + 1) = 8(x - 1)? Solution: |
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| 3671. |
What odd numbers can be used to fill the blanks? __ + __ + __ = 30. |
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Answer» What odd numbers can be used to fill the blanks? __ + __ + __ = 30. Solution: |
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| 3672. |
Find the slope of the line that passes through the pair of points. (-5.5, 6.1), (-2.5, 3.1) |
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Answer» Find the slope of the line that passes through the pair of points. (-5.5, 6.1), (-2.5, 3.1) Solution: |
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| 3673. |
If f(x) = 1 - x, which value is equivalent to |f(i)|? |
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Answer» If f(x) = 1 - x, which value is equivalent to |f(i)|? Solution: |
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| 3674. |
Blake knows that one of the solutions to x2 - 6x + 8 = 0 is x = 2. What is the other solution? |
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Answer» Blake knows that one of the solutions to x² - 6x + 8 = 0 is x = 2. What is the other solution? Solution: |
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| 3675. |
Which of the following is a factor of both x2- x - 6 and x2- 5x + 6? x - 3,x + 3,x - 2,x + 2 |
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Answer» Which of the following is a factor of both x2- x - 6 and x2- 5x + 6? Solution: |
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| 3676. |
How can we make a 45-degree angle without a protractor? |
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Answer» Follow the steps shown below. The construction of angles without aprotractor can be done just using a compass and a ruler. |
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| 3677. |
Find the unit vector that has the same direction as the vector v = 3i + j |
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Answer» Find the unit vector that has the same direction as the vector v = 3i + j Solution: |
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| 3678. |
Question: Solve for x: 2 over 3 (x − 2) = 4x. A. negative 2 over 5 B. negative 5 over 2 C. 2 over 5 D. 5 |
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Answer» A. negative 2 over 5 An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values. |
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| 3679. |
Prove that if 7n+4 is even andnis a positive integer, thennis even. |
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Answer» Prove that if 7n+4 is even andnis a positive integer, thennis even. Solution: |
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| 3680. |
How to find the radius of a sphere when given the surface area. |
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Answer» r = (A / 4π)0.5 We will use the formula of the surface area of a sphere to find the radius of the sphere. |
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| 3681. |
How long does it take to drive 40 miles at 60 mph? |
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Answer» The total time taken to cover 40 miles at 60 mph in 40 minutes. Speed, distance, and time are interconvertible formulas, thus, knowing any two values can be useful to calculate the remaining third value. |
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| 3682. |
Find a polynomial of degree n that has only the given zero(s) x = 5, -1 and degree n = 4. |
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Answer» The polynomial of degree n = 4, and zero(s) x = 5, -1, is x4 - 8x3 + 6x2 + 40x + 25. Polynomials are very important concepts that are related to algebra. A polynomial can have one or more variables to it as well as any value of its degree. The degree of a polynomial is the highest power of a variable which is the part of the polynomial. Let's solve an interesting problem related to degrees and polynomials. |
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| 3683. |
What are the solutions of the equation x4+ 3x2+ 2 = 0 |
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Answer» The solution for the equationx4+ 3x2+ 2 = 0 is x = i,−i, i√2, −i√2. An equation which has a degree equal to 4 is known as a biquadratic equation. |
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| 3684. |
If two events, A and B, are such that P(A)=0.7, P(B)=0.4,and P(A∩B)=0.2, find the following: P(A|A∪B). |
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Answer» If two events, A and B, are such that P(A)=0.7, P(B)=0.4,and P(A∩B)=0.2 the value of P(A|A∪B) = 7/9 Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. |
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| 3685. |
What is the sum of the geometric sequence 1, 4, 16, … if there are 8 terms? |
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Answer» What is the sum of the geometric sequence 1, 4, 16, … if there are 8 terms? Solution: |
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| 3686. |
Evaluate sin (π/4) cos (π/6) - sin (π/6) cos (π/4)? |
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Answer» Evaluate sin (π/4) cos (π/6) - sin (π/6) cos (π/4)? Solution: |
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| 3687. |
Write16 divided by 3 as a fraction? |
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Answer» 16 divided by 3 as a fraction can be written as \(5\dfrac{1}{3}\). A fractionis used to represent a part of the whole.We write the fractionin thesimplest form. This means that the numerator and denominator can no longer be divided by the same whole number exactly or evenly. |
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| 3688. |
Prove that one and only one out of any three consecutive positive integers is divisible by 3. |
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Answer» Out of any three consecutive positive integers only one number is divisible by 3. The proof is given below. The problem is based on the concept of divisibility by 3. |
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| 3689. |
____(x + 8). What number fills in the blank to complete the factorization of 3x + 24? |
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Answer» ____(x + 8). What number fills in the blank to complete the factorization of 3x + 24? Solution: |
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| 3690. |
Multiply (2.0 ⋅ 10-4) ⋅ (3.1 ⋅ 10-20). Express the answer in scientific notation. |
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Answer» Multiply (2.0 ⋅ 10-4) ⋅ (3.1 ⋅ 10-20). Express the answer in scientific notation. Solution: |
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| 3691. |
What is the 50th term of the sequence that begins − 6, 0, 6, 12, ...? |
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Answer» The 50th term of thesequence that begins with - 6 is 288. An arithmetic progression is a sequence in which the difference between a pair of consecutive numbers is equal. |
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| 3692. |
What is the sum of the geometric sequence -4, 24, -144, ... if there are 7 terms? |
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Answer» What is the sum of the geometric sequence -4, 24, -144, ... if there are 7 terms? Solution: |
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| 3693. |
Given the function f(x) = 3 |x – 2| + 6, for what values of x is f (x) = 18? |
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Answer» The values of x for f (x) = 18 is 6 or - 2. An expression with the absolute symbol is called an absolute functionalso called modulus value.It is defined as| x |. |
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| 3694. |
Let f be the function given by f(x) = 3e2x and let g be the function given by g(x) = 6x3. Find (f × g)(x). |
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Answer» (f × g) (x) = 18 e2x x3, if the function is given by f(x) = 3e2x and g(x) = 6x3. We will use the concept of functions in order to find the required function. |
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| 3695. |
In circle O, MP is a diameter. Circle O is shown. Line segment MP is a diameter. Line segment NO is a radius. If mArc NP is 6 more than 5 times the measure of Arc MN , what is mArc NP ? 139°, 145°, 151°, 174° |
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Answer» In circle O, MP is a diameter. Circle O is shown. Line segment MP is a diameter. Line segment NO is a radius. If mArc NP is 6 more than 5 times the measure of Arc MN , what is mArc NP ? 139°, 145°, 151°, 174° Solution: |
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| 3696. |
Give a recursive definition of the sequence {an}, n = 1,2,3,...if a sub n = n(n + 1). |
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Answer» Give a recursive definition of the sequence {an}, n = 1, 2, 3,... if a sub n = n(n + 1). Solution: |
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| 3697. |
What is the equation in point-slope form of the line passing through (-2, -5) and (2, 3)? |
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Answer» What is the equation in point-slope form of the line passing through (-2, -5) and (2, 3)? Solution: |
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| 3698. |
What is the measure of one interior angle in a regular hexagon? |
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Answer» The measure of one interior angle in a regular hexagon is 120º. A regular hexagon is a polygonwith six equal sides and measures of all interior angles are equal. |
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| 3699. |
Find the exact length of the curve. y = ln(1 − x2 ), 0 ≤ x ≤ 1/6. |
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Answer» Find the exact length of the curve. y = ln(1 − x2 ), 0 ≤ x ≤ 1/6. Solution: |
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| 3700. |
Which property of addition is shown below? If x = 1 + 2i and y = -1 - 2i, then x + y = 0. |
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Answer» Which property of addition is shown below? If x = 1 + 2i and y = -1 - 2i, then x + y = 0. Solution: |
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