Saved Bookmarks
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.
| 4701. |
Find a ⋅ b. a = 10i + 9j, b = 4i + 3j |
|
Answer» Find a ⋅ b. a = 10i + 9j, b = 4i + 3j Solution: |
|
| 4702. |
One angle of a triangle is obtuse. The sum of the measures of the other angles must be Less than 90 degrees. Equal to 90 degrees. More than 90 degrees None of the above |
|
Answer» One angle of a triangle is obtuse. The sum of the measures of the other angles must be Solution: |
|
| 4703. |
Find tanθ, if secθ = square root of ten divided by three and sinθ < 0. |
|
Answer» Find tanθ, if secθ = square root of ten divided by three and sinθ < 0. Solution: |
|
| 4704. |
Solve the quadratic equation by the square root property (2x + 5)2= 49 |
|
Answer» Solve the quadratic equation by the square root property (2x + 5)2= 49 Solution: |
|
| 4705. |
Solve for x: the quantity of x plus 4 over 3 = 2. |
|
Answer» Solution ofx plus 4 over 3 = 2 isx = 4. The given question is based on the concept oflinear equation in one variable. |
|
| 4706. |
Find the critical numbers of the function f(x) = x8(x - 3)7 |
|
Answer» Find the critical numbers of the function f(x) = x8(x - 3)7 Solution: |
|
| 4707. |
Find the mean and median of the numbers: 4; 6; 4; 7; 2; 3; 8; 9; 7; 4 |
|
Answer» Find the mean and median of the numbers: 4; 6; 4; 7; 2; 3; 8; 9; 7; 4 Solution: |
|
| 4708. |
Solve for x: the quantity of x plus 20 over 2 = 3x |
|
Answer» x = 4 satisfies the given equation: the quantity of x plus 20 over 2 = 3x The question is based on simplifying analgebraic expression. |
|
| 4709. |
If the zeroes of the cubic polynomial f(x) = kx3-8x2+5 are alpha-beta, alpha and alpha+beta then find the value of k? |
|
Answer» The value of k is (8/3α) for the cubic polynomial f(x) = kx3-8x2+5 We will be using thesum of roots of a cubic polynomial to solve this. |
|
| 4710. |
Write x2 - 2x - 3 = 0 in the form (x - a)2= b, where a and b are integers |
|
Answer» Write x2 - 2x - 3 = 0 in the form (x - a)2= b, where a and b are integers Solution: |
|
| 4711. |
What does capital Emean in math? |
|
Answer» E is used to represent large numbers in calculators. The capital E is usually seen in calculators. |
|
| 4712. |
Given the sequence 7, 14, 28, 56, ..., which expression shown would give the tenth term? 710 7•210 7•29 |
|
Answer» Given the sequence 7, 14, 28, 56, ..., which expression shown would give the tenth term? Solution: |
|
| 4713. |
How to integrate 2x? |
|
Answer» The final value of the integration of 2xis equal to2x/ln2 + c. Integration is the inverse process of differentiation. |
|
| 4714. |
What will the 6% sales tax be on purchases totaling $145.50? |
|
Answer» What will the 6% sales tax be on purchases totaling $145.50? Solution: |
|
| 4715. |
Given the parent functions f(x) = log2(3x - 9) and g(x) = log2(x - 3), what is f(x) - g(x)? |
|
Answer» Given the parent functions f(x) = log2(3x - 9) and g(x) = log2(x - 3), what is f(x) - g(x)? Solution: |
|
| 4716. |
How to integrate xex? |
|
Answer» The integral of xexgives the resultxex-ex+ c. Integration is the inverse process of differentiation. |
|
| 4717. |
Find the product of (x2+ 2x - 3)(4x2- 5x + 6). |
|
Answer» The product of (x2+ 2x - 3)(4x2- 5x + 6) is4x4+ 3x3- 16x2+ 27x- 18 The problem is based on the concept ofmultiplication ofpolynomials. |
|
| 4718. |
Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches.Round your answer to the nearest inch. 88 in,44 in,28 in,56 in |
|
Answer» Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches.Round your answer to the nearest inch. Solution: |
|
| 4719. |
What is the probability of the following? (a) An event that is certain to occur? |
|
Answer» What is the probability of the following? (a) An event that is certain to occur? Solution: |
|
| 4720. |
What is the graph of 6x + 3y = 18? |
|
Answer» What is the graph of 6x + 3y = 18? Solution: |
|
| 4721. |
Differentiate the function. f(x) = sin(3 ln(x)) |
|
Answer» The differential of the function. f(x) = sin(3 ln(x)) is given as 3cos (ln(x3))/x. The chain rule is applied by differentiating a function from outside functions first, to the inside functions. |
|
| 4722. |
What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 36, y = x - 6. |
|
Answer» What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 36, y = x - 6. Solution: |
|
| 4723. |
Use the graphs of f and g to graph h(x) = (f + g)(x). (Graph segments with closed endpoints). |
|
Answer» Use the graphs of f and g to graph h(x) = (f + g)(x). (Graph segments with closed endpoints).
|
|
| 4724. |
What is the area of the triangle? |
|
Answer» The area of a triangle is the amount of space enclosed between the sides of the triangle. The value of the area of a triangle is equal to half the product of the altitude of a triangle and the base of a triangle Trianglesare three-sided closed figures. |
|
| 4725. |
How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet? |
|
Answer» How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet? Solution: |
|
| 4726. |
What is the graph of the system y = -2x + 3 and 2x + 4y = 8? |
|
Answer» What is the graph of the system y = -2x + 3 and 2x + 4y = 8? Solution: |
|
| 4727. |
Approximately how many milliliters are contained in a half-cup of milk? |
|
Answer» Approximately 118milliliters are contained in a half-cup of milk A measuring cup in Math is a cup that is used primarily to measure the volume of a liquid such as water, oil, milk, etc. or to measure powdered substances, such as flour, sugar, washing powder, etc. |
|
| 4728. |
Is tangent even or odd? |
|
Answer» For a tangent function,f(−x) = −f(x), so tangent can be said to be anodd function. Go through the explanation to understand better. |
|
| 4729. |
What are the zeros of the function? |
|
Answer» Zeros of a function are the points where the graph of the function meets the X-axis i.e., at the solutions of f(x) = 0. In order to find thezero of apolynomial,equate P(x) = 0 and find the corresponding values of x. |
|
| 4730. |
Find the first partial derivatives of the function. f(x, y) = x9y |
|
Answer» Find the first partial derivatives of the function. f(x, y) = x9y Solution: |
|
| 4731. |
What is 6 to the 3rd power? |
|
Answer» 6 to the 3rd power is 63=216. 6 to the 3rd powercan be re-written as 63. |
|
| 4732. |
How to find the radius of a circle using the circumference? |
|
Answer» The radius of a circle using the circumference can be found by the formulaRadius = Circumference / 2π The circleis a two-dimensional figure defined asa collection of points, on a two-dimensional plane, which are equidistant from the center point 'O'. |
|
| 4733. |
How to find the radius of a circle with the diameter? |
|
Answer» The radius/length of the radiusof a circle with the diameter = (length of diameter)/2 The circleis a two-dimensional figure defined asa collection of points, on a two-dimensional plane, which are equidistant from the center point 'O'. |
|
| 4734. |
A chair and a table cost Rs 1800. If by selling the table at 15% profit, and the chair at 10% loss, atotal profit of 6% is made. What is the cost price of a chair? |
|
Answer» For a chair and a table costing Rs 1800 where the table is sold at 15% profit and the chair is sold at 10% loss having a total profit of 6% overall, the cost price of the chair is Rs 648. A profit or loss is the difference between the cost price and the selling price. If the cost price is more than the selling price, then the transaction results in a loss, whereas if the selling price is more than the cost price then the transaction results in a profit. |
|
| 4735. |
How to find the standard deviation of a probability distribution? |
|
Answer» The standard deviation for a binomial probability distribution is given by√npq. In statistics, the standard deviation is the amount of variation or dispersion of the set of values. |
|
| 4736. |
What is a fraction called when the numerator is bigger than the denominator? |
|
Answer» A fraction is called an improper fraction when the numerator is bigger than the denominator. Based on numerator and denominator, which are parts of a fraction, there are different types of fractions. |
|
| 4737. |
Is the product of two integers positive negative or zero? |
|
Answer» The product of two integers can either be positive, negative, or zero. An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero. |
|
| 4738. |
Simplify: (sin θ - cos θ)2 - (sin θ + cos θ)2 |
|
Answer» Simplify: (sin θ - cos θ)2 - (sin θ + cos θ)2 Solution: |
|
| 4739. |
The diameter of an atom is approximately 1×10-10m. What is the diameter in millimeters? |
|
Answer» The diameter of an atom is approximately 1 × 10-10m. What is the diameter in millimeters? Solution: |
|
| 4740. |
How many odd numbers between 10 and 1,000 are the squares of integers? |
|
Answer» There are 14 odd numbers between 10 and 1,000 which are the squares of integers. Odd numbers are those numbers that cannot be divided into two parts equally |
|
| 4741. |
Solve the equation t2- t = 12 by factoring. |
|
Answer» Solve the equation t2- t = 12 by factoring. Solution: |
|
| 4742. |
Which of the following sets are equal? A = {1, 2, 3}, B = {x ∈ R : x2 – 2x + 1 = 0}, C = {1, 2, 2, 3}, D = {x ∈ R : x3 – 6x2+11x – 6 = 0}. |
|
Answer» Which of the following sets are equal? A = {1, 2, 3}, B = {x ∈ R : x2 – 2x + 1 = 0}, C = {1, 2, 2, 3}, D = {x ∈ R : x3 – 6x2+11x – 6 = 0}. Solution: |
|
| 4743. |
How to find the equation of a line with two points? |
|
Answer» First, write the general equation of a line in the point-slope form that isy - y1= m (x - x1), then determine the slope of the line by using the given points. Substitute the value of slope obtained in the standard equation along with one point. Finally, arrange the terms. The general equation of a straight line can be written as y = mx + c where m is the slope andc is the y-intercept. |
|
| 4744. |
What is the sum of the geometric sequence 2, 10, 50, … if there are 7 terms? |
|
Answer» What is the sum of the geometric sequence 2, 10, 50, … if there are 7 terms? Solution: |
|
| 4745. |
A and B are partners sharing profit and losses in the ratio 3:2. They decided to admit C as a partner for 1/4th share. Find the new ratio and the sacrificing ratio? |
|
Answer» The new ratio is 3: 3: 2and the sacrificing ratio is9:1. In a partnership business, the ratio of the profits is proportionalto the ratio of the money invested by each partner and the duration for which the money is invested. |
|
| 4746. |
A population is growing at a rate of 2, 4, 8, 16, 32. Which type of growth does this describe? |
|
Answer» The type of growth rate described in2, 4, 8, 16, 32 is geometric (exponential) growth. A sequence that has the same proportional value as its previous term is called aGeometric sequence. |
|
| 4747. |
Find the area of the sector of a circle of radius r and central angle θ. |
|
Answer» ( The area of the sector is the total area subtended by an arc at the center. |
|
| 4748. |
Choose the correct classification of 3x4 - 9x3 - 3x2 + 6. 5th degree polynomial 4th degree polynomial 9th degree polynomial 24th degree polynomial |
|
Answer» Choose the correct classification of 3x4 - 9x3 - 3x2 + 6. Solution: |
|
| 4749. |
What is 3% as decimal? |
|
Answer» 3% as a decimal is 0.03. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. A percentage is a fraction or a ratio in which the value of whole is always 100. |
|
| 4750. |
A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction. |
|
Answer» A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. The fraction is 5/12. Thefractionis a part of a whole expressed as N/D, that is numerator/denominator. |
|
