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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.
| 4751. |
If p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) = |
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Answer» If p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) = Solution: |
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| 4752. |
What number should be added to both sides of the equation to complete the square? x2 + 3x = 6 |
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Answer» What number should be added to both sides of the equation to complete the square? x2 + 3x = 6 Solution: |
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| 4753. |
1, 2, 4, and 8 are factors of which number? |
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Answer» 1, 2, 4, and 8 are factors of the numbers which are multiples of 8. A factoris a number that divides the given number without any remainder. |
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| 4754. |
Express the fractions 1/2, 3/16, and 7/8 with an LCD. |
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Answer» The fractions 1/2, 3/16, and 7/8 with an LCD can be expressed as 8/16, 3/16and 14/16. LCD is the least common denominator.The least common denominator (LCD) refers to the smallest number that is a common denominator for a given set of fractions. |
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| 4755. |
Solve the equation. - 9x + 1 = - x + 17 x = -8,x = -2,x = 2,x = 8 |
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Answer» Solve the equation. -9x + 1 = -x + 17 Solution: |
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| 4756. |
Find the midpoint of the line segment with the given endpoints, A(4, 13) and B(6, -5). |
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Answer» The coordinateof the midpoint of the segment whose endpoints are (4, 13) and (6, -5) is(5, 4). We will use the concept of the mid-point formula in order to find the midpoint. |
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| 4757. |
Find the centroid of the region bounded by the given curves. y=x3, x + y=10, y=0. |
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Answer» Find the centroid of the region bounded by the given curves. y=x³, x + y=10, y=0. Solution: |
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| 4758. |
Joy sells 200 glasses of iced tea at $0.50 each. Her total costs are $25. Her profits are |
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Answer» Joy sells 200 glasses of iced tea at $0.50 each. Her total costs are $25. Her profits are Solution: |
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| 4759. |
What are the formula for finding exterior and interior angles of a polygon? |
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Answer» Interior Angles of a Regular Polygon with n sides:Interior angle =(180n - 360)/n In geometry, Polygon is a plane figure formed by a finite number of line segments. |
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| 4760. |
The difference between an integer x and (-9) is 6. Find all possible values of x. |
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Answer» The possible values of x are (-15) and (-3) as the difference between any of these two integers and (-9) is 6. An integer is any number that is not expressed as a fractional component. Integers form of the list of numbers as: ,..., -4, -3, -2, -1, 0, 1, 2, 3, 4,...,. |
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| 4761. |
What is the simplest form of the quotient 4 sqrt 810 / 4 sqrt 2? |
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Answer» What is the simplest form of the quotient 4 sqrt 810 / 4 sqrt 2? Solution: |
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| 4762. |
The volume of sphere is given by V = 4/3 πR3 where R is the radius of sphere. Find the rate of change of volume with respect to R. |
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Answer» The volume of sphere is given byV = 4/3 πR3where R is the radius of sphere. Find the rate of change of volume with respect to R. Solution: |
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| 4763. |
What is the measure of the supplementary angle of an interior angle of a regular polygon? |
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Answer» Supplementary angle to any of the interior angles of a regular polygon = 180º -[(n - 2)× 180º] / n. Twoanglesare said to be supplementary angles if they add up to 180 degrees. The supplementary angle to any angle is 180 degrees minus that angle. |
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| 4764. |
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = 2x3 + 8x2+ 7x - 8 |
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Answer» Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = 2x3+8x2+7x-8 Solution: |
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| 4765. |
How do you use the binomial formula to expand (x+1)3? |
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Answer» How do you use the binomial formula to expand (x+1)3? Solution: |
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| 4766. |
Find the Maclaurin series for f(x) = cos(x2) and use it to determine f(4)(0). |
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Answer» cos (x2) = 1 + x4/2! +x8/4! +x12/6! +x16/8! + ..., the value of f(4)(0) = 12 Maclaurin series is nothing but Taylor series about the point x = 0. |
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| 4767. |
What is the circumference of a circle with a radius of 4? |
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Answer» The circumference of a circle with a radius of 4 is 8π. The circumference is a closed curve where all points are at the same distance from the center. |
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| 4768. |
What is the sum of 0.743 using powers of 10 to show place value? |
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Answer» What is the sum of 0.743 using powers of 10 to show place value? Solution: |
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| 4769. |
If f(x) = |x| + 9 and g(x) = -6, which describes the value of (f + g)(x)? |
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Answer» If f(x) = |x| + 9 and g(x) = -6, which describes the value of (f + g)(x)? Solution: |
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| 4770. |
A line segment has an endpoint at (4, 6), the midpoint of the line segment is (1, 5). What are the coordinates of the point at the other end of the line segment? |
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Answer» A line segment has an endpoint at (4, 6), the midpoint of the line segment is (1, 5). What are the coordinates of the point at the other end of the line segment? Solution: |
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| 4771. |
Find the values of the 30th and 90th percentiles of the data. 18,9,7,5,11,7,17,20,19,2,17,12,5,1,13,12,11,15,16,20 |
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Answer» The values of the 30th and 90th percentiles of the data are 7 and 19. Apercentileis defined as a number where acertain percentage of scores fall below that number.The 25thpercentileis also called the first quartile. |
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| 4772. |
How do you find the integral of int sin x.tan x dx? |
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Answer» How do you find the integral of int sin x.tan x dx? Solution: |
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| 4773. |
If tan x° = a divided by 4 and cos x° = 4 divided by b, what is the value of sin x°? |
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Answer» If tan x° = a divided by 4 and cos x° = 4 divided by b, what is the value of sin x°? Solution: |
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| 4774. |
Find the smallest 5 digit number exactly divisible by 41. |
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Answer» The smallest 5-digit number exactly divisible by 41 is 10004. We use the division algorithm to find the smallest 5 digit number exactly divisible by 41. |
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| 4775. |
What is 1⅕as a decimal? |
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Answer» 1⅕is equivalent to 1.2 as a decimal. Bothdecimalsandfractionsare just two ways to represent the same number. |
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| 4776. |
If you work 52 weeks/year and 40 hours/week, how many hours would you work in one year? 1580 1800 2080 2640 |
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Answer» If you work 52 weeks/year and 40 hours/week, how many hours would you work in one year? Solution: |
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| 4777. |
Find the z-score for the value 62, when the mean is 79 and the standard deviation is 4. |
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Answer» Find the z-score for the value 62, when the mean is 79 and the standard deviation is 4. Solution: |
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| 4778. |
What is the value of x in the equation 4x + 8y = 40, when y = 0.8? |
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Answer» What is the value of x in the equation 4x + 8y = 40, when y = 0.8? Solution: |
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| 4779. |
What is the SI unit forspeed? |
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Answer» What is the SI unit forspeed? Solution: |
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| 4780. |
Solve for x,5(x - 10) = 30 - 15x x = 1,x = 4,x = 5,x = 8 |
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Answer» Solve for x,5(x - 10) = 30 - 15x Solution: |
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| 4781. |
The average of a distribution is equal to the summation of x divided by the number of observations is called____. |
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Answer» The average of a distribution is equal to the summation of x divided by the number of observations is called____. Solution: |
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| 4782. |
Use a formula to find the surface area of the square pyramid with a side of 4 cm and a height of 5 cm. |
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Answer» The surface area ofthe square pyramid with a side of 4 cm and a height of 5 cm is 59.08 cm2. Pyramids are interesting solid shapes that have numerous practical applications in engineering and architecture. Square pyramids have a square-shaped base. |
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| 4783. |
Find the rate of change for the situation: You run 3 miles in one hour and 6 miles in two hours. |
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Answer» The rate of changefor the given situationis 3 miles per hour. The rateof change of a quantity is defined as the speed of change that thequantity undergoes in a given duration oftime. For example, speed is known as the rate of change of position. |
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| 4784. |
A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing an ace or a 9). |
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Answer» A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing an ace or a 9). Solution: |
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| 4785. |
Find the sum of -73, 27, -103, and -123. |
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Answer» The sum of -73, 27, -103, and -123 is -272. Integers are added using the commutative and associative properties of the addition of integers. |
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| 4786. |
How many square feet is in an acre of land? |
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Answer» An acre of land is equal to 43560 square feet. An acre is a metric unit used to measure the area of large land. |
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| 4787. |
For what interval is the value of (f – g)(x) negative, where f(x) = (x - 3) and g(x) = -0.5x? |
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Answer» Thevalue of (f – g)(x) is negative in the interval (-∞, 2). Functions are the basis of many mathematical concepts like calculus and algebra. All the fundamental operations like addition and subtraction can be performed on functions. |
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| 4788. |
How do you write a remainder as a fraction in the given expression: 64 ÷ 30? |
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Answer» The expression64 ÷ 30 can be represented as 2 2/15. Fractions are important concepts that are very helpful in calculations evenin subjects other than mathematics. They are defined as a part of a whole expression. |
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| 4789. |
To calculate the unit price of an item, divide the total number of units by the total price. True or False. |
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Answer» To calculate the unit price of an item, divide the total number of units by the total price. True or False. Solution: |
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| 4790. |
How many whole numbers are there between 32 and 53? |
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Answer» There are 20 whole numbers between the numbers 32 and 53. Whole Numbers are the set of natural numbers along with the number 0. |
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| 4791. |
Solve this equation for a: a ÷ 2 = 4 |
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Answer» a ÷ 2 = 4, then the value of a is 8. An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values. |
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| 4792. |
Which anglesshare a vertex but not a side? |
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Answer» Angles that share a vertex but not a side are called Non-Adjacent angles. Adjacent angles are two angles that have a similar vertex and a similar side, but they do not overlap. |
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| 4793. |
The HCF of two numbers is 16 and their product is 3072, find their LCM. |
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Answer» If the HCF of two numbers is 16 and their product is 3072, then their LCMis 192. The HCF (Highest Common Factor) of twonumbers is the highest possible number which divides the two numbers exactly without any remainder and the least common multiple (LCM) of twonumbers is the smallest number among all commonmultiplesof the two numbers. |
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| 4794. |
If a is a rational number and b is a rational number, then the product ab must be____. |
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Answer» If a is a rational number and b is a rational number, then the product ab must be____. Solution: |
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| 4795. |
What is the perimeter of POR with vertices P(-2, 9) Q(7, -3) and R(-2, -3) in the coordinate plane. |
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Answer» What is the perimeter of POR with vertices P(-2, 9) Q(7, -3) and R(-2, -3) in the coordinate plane. Solution: |
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| 4796. |
Which theorem can be used to determine whether a function f(x) has any zeros in a given interval? |
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Answer» Which theorem can be used to determine whether a function f(x) has any zeros in a given interval? Solution: |
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| 4797. |
From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combinations of random samples of 4 students can be selected? |
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Answer» From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combinations of random samples of 4 students can be selected? Solution: |
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| 4798. |
How do you divide a fraction by a fraction? |
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Answer» We can divide a fraction by another fraction by multiplying the fraction with the reciprocal of the other fraction. Dividing a fraction by a fraction occurs very oftenin mathematics. |
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| 4799. |
At what point does the curve have maximum curvature? What happens to the curvature as x tends to infinity y= ln x? |
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Answer» At what point does the curve have maximum curvature? What happens to the curvature as x tends to infinity y= ln x? Solution: |
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| 4800. |
Find a function that models the area A of a circle in terms of its circumference C. |
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Answer» The function that models the area A of a circle in terms of its circumference C is A = Cr / 2, where r is the radius of the circle. Circles are closed shapes with don't have any sides. They consist of a centerand a radius. They have many real-life applications. |
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