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.
| 7651. |
What is 12.5 as a fraction? |
|
Answer» 12.5 as a fraction is written as 25/2 Fractions form an integral part of Mathematics. All the fundamental operations that are performed over integers can be performed over fractions as well. |
|
| 7652. |
Which shows one way to determine the factors of 12x3 - 2x2 + 18x - 3 by grouping? 2x2(6x - 1) + 3(6x - 1) 2x2(6x - 1) - 3(6x - 1) 6x(2x2 - 3) - 1(2x2 - 3) 6x(2x2 + 3) + 1(2x2 + 3) |
|
Answer» Which shows one way to determine the factors of 12x3 - 2x2 + 18x - 3 by grouping? 2x2(6x - 1) + 3(6x - 1) 2x2(6x - 1) - 3(6x - 1) 6x(2x2 - 3) - 1(2x2 - 3) 6x(2x2 + 3) + 1(2x2 + 3) Solution: |
|
| 7653. |
What is 3 More than the Product of 8 and a number is? |
|
Answer» 3 More than the Product of 8 and a Number is 8n + 3. We will be using basic rules of mathematics to solve this. |
|
| 7654. |
How much is 7 to the power of 5? |
|
Answer» 7 to the power of 5 is 16807. We will be using the concept of multiplication rule of exponents and power. |
|
| 7655. |
Look at several examples of rational number in the form p q ( q ? 0 ) , where p and q are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property q must satisfy ? |
|
Answer» q should not be 0 and can be expressed as a power of 2, or 5, or both. Arational numberis anumberthat is expressed as the ratio of two integers, where the denominator should not be equal to zero. |
|
| 7656. |
How do you write 3/4 as a percent? |
|
Answer» 3/4 is expressed as 75% in terms of percentage. A percent is a ratio of a number expressed out of100. |
|
| 7657. |
60 Percent as a fraction in simplest form |
|
Answer» 60%as a fraction in simplest form is 3/5 Percent means per hundred or for every hundred. We represent it as %. |
|
| 7658. |
If you square a negative number does it become positive? |
|
Answer» Yes. If a number is squared, it becomes positive. The Square of a number is the value of the number raised to the power of 2. |
|
| 7659. |
How to find the value of x in a triangle? |
|
Answer» The value of x in a triangle is 120°
|
|
| 7660. |
In the equation a = πr2, π (pi) is a _____________ |
|
Answer» In the equation a = πr2, π (pi) is anumericalconstant. π(pi) is an irrational number whose value in fractional form is22/7 which isusuallyapproximated to the value of 3.14 |
|
| 7661. |
How do you convert grams to mg? |
|
Answer» To convert the grams (g) into milligrams (mg), we multiply the quantity in gramsby 1000. There are1000 milligrams in 1 gram. |
|
| 7662. |
How can you check the answer to a decimal multiplication problem? |
|
Answer» Apply division operation to check the answer to a decimal multiplication problem. In our everyday life, we have come across various instances where we have to use the multiplication operation on two numbers out of which at least one or both aredecimalnumbers. |
|
| 7663. |
Find three positive numbers whose sum is 100 and whose product is a maximum. |
|
Answer» Find three positive numbers whose sum is 100 and whose product is a maximum. Solution: |
|
| 7664. |
What is 8/9 as a decimal? |
|
Answer» 8/9 as a decimal is0.889 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
|
| 7665. |
Solve for x: (x - 1) / (x - 2) + ( x - 3) / (x - 4) = 10/3 |
|
Answer» The values of x for the equation (x - 1) / (x - 2) + ( x - 3) / (x - 4) = 10/3 are 5/2 and 5. Anequationcan bedefinedas a mathematical statement consisting of an equal to symbol between two algebraic expressions that have the same value. |
|
| 7666. |
What is the difference between a whole number and an integer? |
|
Answer» Whole numbers are a set of numbers that include all positive numbers along with 0, whereas, integers are numbers that include positive and negative numbers along with 0. An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero. |
|
| 7667. |
What is 5/6 as a decimal? |
|
Answer» 5/6 as a decimal is0.833... Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
|
| 7668. |
Which of the following is a factor of f(x) = 7x3 - 22x2 - 67x + 10? (x + 5), (x - 5), (x + 1 /5), (x - 1 /5) |
|
Answer» Which of the following is a factor of f(x) = 7x3 - 22x2 - 67x + 10? Solution: |
|
| 7669. |
Write an equation of a line with the given slope and y-Intercept. m = –5, b = –3. |
|
Answer» Write an equation of a line with the given slope and y-Intercept. m = –5, b = –3. Solution: |
|
| 7670. |
If the diameter of a circle has endpoints A(7, 2) and B(-1, 8), where is the center of the circle? |
|
Answer» If the diameter of a circle has endpoints A(7, 2) and B(-1, 8), where is the center of the circle? Solution: |
|
| 7671. |
What is one fourth as a decimal? |
|
Answer» 1/4as a decimal is equal to0.25. Fractions can be defined as a part of a whole anddecimals are a set of numbers written together with a dot in between them that is called a decimal point. |
|
| 7672. |
Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible. |
|
Answer» The dimensions of the rectangle with a perimeter of 100m, and as large an area as possible, are 25 m and25 m. The area of a rectangle is defined as the total space occupied by it and perimeter is defined as the total length of the boundary of the rectangle. |
|
| 7673. |
What is the next number? 3, 4, 6, 9, 13, 18, 24 |
|
Answer» What is the next number? 3, 4, 6, 9, 13, 18, 24 Solution: |
|
| 7674. |
Find an equation of the parabola with vertex and focus:vertex (2, 3) and focus (6, 3) |
|
Answer» (y − 3)2 = 16(x − 2)is the equation of the parabola. We can make use of the vertex form of the parabola to calculate the equation. |
|
| 7675. |
Find the perimeter of a regular octagon if one side has a measure of 8 cm. |
|
Answer» The perimeter of a regular octagon with a side of 8 cm is 64 cm. A regular octagon is a polygon with eight congruent sides.The perimeter of a polygon is the sum of all its sides. |
|
| 7676. |
What is1/2 of 2/3? |
|
Answer» 1/2 of2/3 is 1/3. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
|
| 7677. |
Find a unit vector that has the same direction as the given vector. 4i - j + 8k? |
|
Answer» Find a unit vector that has the same direction as the given vector. 4i - j + 8k? Solution: |
|
| 7678. |
What are two angles in a plane which share a common vertex and a common side but do not overlap? |
|
Answer» What are two angles in a plane which share a common vertex and a common side but do not overlap? Solution: |
|
| 7679. |
Find the area of a quadrilateral with diagonal 13 m and offsets 7 m and 3 m. |
|
Answer» The area of a quadrilateral with diagonal 13 m and offsets 7 m and 3 m is 65 sq.m. A quadrilateral is a closed shape that is obtained by joining four points among which any three points are non-collinear. |
|
| 7680. |
What interval includes all possible values of x, where -3(6- 2x) ≥ 4x + 12? (-∞,-3], [-3, ∞), (-∞, 15], [15, ∞) |
|
Answer» What interval includes all possible values of x, where -3(6 - 2x) ≥ 4x + 12? Solution: |
|
| 7681. |
If the value of b is 7, then what is the value of the expression -3b2+25=? |
|
Answer» If the value of b is 7, then what is the value of the expression -3b2+25=? Solution: |
|
| 7682. |
Find the value or values of p in the quadratic equation p2 + 13p - 30 = 0. |
|
Answer» Find the value or values of p in the quadratic equation p2 + 13p - 30 = 0. Solution: |
|
| 7683. |
How much is 8 to the power of 2/3? |
|
Answer» 8 to the power of 2/3 is 4. Power, in exponents, is defined as the total number of times we use the number ina multiplication.For example, 2 to the power 3 means 2 is multiplied 3 times. |
|
| 7684. |
Find a rational number equivalent to 5/7 |
|
Answer» There are many rational numbers equivalent to 5/7 starting from10/14,15/21, 20/28, etc. We can find the equivalent rational numbers by multiplying and dividingthe given number by any natural number. |
|
| 7685. |
The distance between a and b on the real line is d(a, b) = ___. |
|
Answer» The distance between a and b on the real line is d(a, b) =|b - a|. A real line is a number line containing real numbers. |
|
| 7686. |
Can the square of an integer be a negative number? |
|
Answer» No, the square of an integer can neverbe a negative number. The square of a number is the value of the number raised to the power of 2. |
|
| 7687. |
What is the y-intercept of the line with the equation 4x + 2y = 12? |
|
Answer» What is the y-intercept of the line with the equation 4x + 2y = 12? Solution: |
|
| 7688. |
What is 1/16 as a Decimal? |
|
Answer» 1/16 as a decimal is written as 0.0625 Fractionsanddecimalsare two ways to represent the same numbers. Adecimalnumber can bedefinedas a number whose whole number part and fractional part are separated by adecimalpoint. A fraction is represented as a numerical value that is defined as a part of a whole. |
|
| 7689. |
What is 2 to the power of 50? |
|
Answer» 2 to the power of 50 is 1.1258999e+15. We will use themultiplication rule of exponentsto solve. |
|
| 7690. |
What is the remainder when (x3 - 7x2 - 18x + 42) is divided by (x + 3)? |
|
Answer» What is the remainder when (x3 - 7x2 - 18x + 42) is divided by (x + 3)? Solution: |
|
| 7691. |
Let f(x) = x+8 and g(x)=x2-6x-7, what is f(g(2))? |
|
Answer» Let f(x) = x+8 and g(x)=x2-6x-7, what is f(g(2))? Solution: |
|
| 7692. |
Graph the set on the number line. Then, write the set using interval notation. 7 |x + 3| ≤14 |
|
Answer» The solution set for7 |x + 3| ≤14 using interval notation is [-5, -1].The graph is shown below. We will solve the inequality to find its solution set and then plot it on a number line. |
|
| 7693. |
Given f(x) = 17- x2. What is the average rate of change in f(x) over the interval [1, 5]? |
|
Answer» Given f(x) = 17- x2. What is the average rate of change in f(x) over the interval [1, 5]? Solution: |
|
| 7694. |
Find a vector that has the same direction as (−4, 6, 2) but has length 6. |
|
Answer» A vector with the same direction as (−4, 6, 2) but has length 6 is(−12/√14, 18/√14, 6/√14). We will be using the concept of scaling and the similarity of the vectors. |
|
| 7695. |
Choose the equation below whose axis of symmetry is x = 0. Is ity = x2 + 2x, y = x2 − 16x + 58, y = x2 + 2 or y = x2 − 4x + 2? |
|
Answer» Among the given equations, the axis of symmetry of y = x2 + 2 is x = 0. Quadratic equations are equations that have a degree equal to two. They are represented as a parabola on the graph. |
|
| 7696. |
Write 9 as a fraction with 7 in the denominator. |
|
Answer» Write 9 as a fraction with 7 in the denominator. Solution: |
|
| 7697. |
Describe the graph of y > mx, where m > 0. |
|
Answer» The graph of y > mx, where m> 0,contains the entire 2nd quadrant and the 1st and the 3rd quadrant partially. Straight lines can be used to represent linear equations in the cartesian plane. Using these linear equations, we can extract various information about the equations. |
|
| 7698. |
What is an integer that is not a whole number? |
|
Answer» A negative integeris an integer that is not a whole number. An integer is a number with no decimal or fractional part.Integers include natural numbers, negatives of natural numbers and zero. |
|
| 7699. |
The sum of the square roots of any two sides of an isosceles triangleis equal to the square root of the remaining side. True or False? |
|
Answer» It is false that the sum of the square roots of any two sides of an isosceles triangleis equal to the square root of the remaining side. Isosceles triangles are triangles that have two equal sides. Isosceles triangleshave many interesting properties and applications. Let's check out one of them in this section. |
|
| 7700. |
What are the Figures having Same Shape and Size called? |
|
Answer» The figures having the same shape and size are called congruent figures. We will use the definition of congruent to answer this question. |
|