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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.
| 6551. |
Write the quadratic function in vertex form y = x2 - 2x + 5. |
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Answer» Write the quadratic function in vertex form y = x2 - 2x + 5. Solution: |
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| 6552. |
What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 100, y = x + 2 |
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Answer» What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 100, y = x + 2 Solutions: |
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| 6553. |
What are the solutions of the equation 2x2 = 2? Use a graph of the related function. |
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Answer» What are the solutions of the equation 2x2= 2? Use a graph of the related function. Solution: |
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| 6554. |
To stitch a shirt 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain? |
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Answer» Out of 40 m cloth, 18shirts can be stitched and 1 m 30 cmcloth will remain. We can find the number of shirt by dividing the length of the cloth by cloth needed for one shirt. |
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| 6555. |
If p(a) = 0.62, p(b) = 0.47, and p(a ∪ b) = 0.88, then p(a ∩ b) = |
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Answer» If p(a) = 0.62, p(b) = 0.47, and p(a ∪ b) = 0.88, then p(a ∩ b) = Solution: |
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| 6556. |
If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x? |
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Answer» If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x? Solution: |
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| 6557. |
Two coins are tossed. Find the probability that one coin is a head and the other is a tail. |
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Answer» The probability that one coin is a head and the other is a tail is 1/ 2. The ratio between the number of favorable outcomes to the total number of outcomes is called probability. It lies between 0 and 1. |
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| 6558. |
What is 20% of 150 |
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Answer» 20% of 150 is 30. A percentis a ratio of a number expressed out of100. |
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| 6559. |
Find the value of x? Round to the nearest tenth. The diagram is not drawn to scale |
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Answer» Find the value of x? Round to the nearest tenth. The diagram is not drawn to scale
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| 6560. |
What is 15 of 500 |
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Answer» 15of 500is 7500. Multiplication also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 6561. |
What is the x-value of the solution to the system of equations? 5x + 4y = 8, 2x - 3y = 17. |
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Answer» What is the x-value of the solution to the system of equations? 5x + 4y = 8, 2x - 3y = 17. Solution: |
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| 6562. |
Find the length of an arc of an 8" radius circle if the arc measures 45°. |
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Answer» Find the length of an arc of an 8" radius circle if the arc measures 45°. Solution: |
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| 6563. |
Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (4π, 0)? |
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Answer» Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (4π, 0)? Solution: |
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| 6564. |
Find the exact length of the curve. y = ln(1 − x2 ), 0 ≤ x ≤ 1/9. |
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Answer» Find the exact length of the curve. y = ln(1 − x2 ), 0 ≤ x ≤ 1/9. Solution: |
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| 6565. |
How to find the surface area of a right triangular prism? |
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Answer» The formula to calculatethe surface area of a right triangular prismis given by S1×h + (S1+ S2+ h) L We find the sum ofareas of all the sides and faces of a right triangular prism to determine its surface area. |
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| 6566. |
Which equation represents a parabola with a focus of (0, 4) and a directrix of y = 2? y = x2 + 3 y = -x2 + 1 y = x2/2 + 3 y = x2/4 + 3 |
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Answer» Which equation represents a parabola with a focus of (0, 4) and a directrix of y = 2? Solution: |
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| 6567. |
A line passes through (2, −1) and (4, 5). Which answer is the equation of the line? |
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Answer» The Equation of the Line that Passes through thePoints (2, −1) and (4, 5)is3x -y -7 = 0. Straight lines can be represented in the form of linear equations on the cartesian plane. Let's solve a problem related to the concept of two-point form in straight lines. |
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| 6568. |
What is .35 as a Fraction? |
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Answer» .35 as a fraction would be written as 7/20. Fraction is a part of a whole. It is written as p/q where p and q are natural numbers. |
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| 6569. |
Simple interest on a certain sum of money at 9% is Rs 450 in 2 years. Find the compound interest on the same sum at the same rate for 1 year if the interest is reckoned half-yearly. |
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Answer» For a certain principal amount whose simple interest at 9% is Rs 450 in 2 years, the compound interest on the same sum at the same rate for 1 year if the interest is reckoned half-yearly is Rs 230.0625. Simple interest refers to the interest charged on a certain sum at a certain rate of interest per year. |
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| 6570. |
What are the first 10 prime numbers? |
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Answer» 2, 3, 5, 7, 11, 13, 17, 19, 23, 29is the list of first 10 prime numbers. A numbergreater than1, with exactly twofactors, 1and itself, is defined as aprime numberin mathematics |
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| 6571. |
Sis the set of prime numbers that are less than 15. Write the set Sin Tabular form. |
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Answer» S = {2, 3, 5, 7, 11, 13} is the set of prime numbersthat are less than 15. A number greater than 1, with exactly two factors, 1and itself, is defined as a prime number in mathematics |
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| 6572. |
What is the midpoint of the x-intercepts of f(x) = (x - 2)(x - 4)? |
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Answer» What is the midpoint of the x-intercepts of f(x) = (x - 2)(x - 4)? Solution: |
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| 6573. |
How do you find the median if the number of observations in a data set is odd? |
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Answer» [( The median is defined as the middle term in a set of observations arranged in ascending order. |
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| 6574. |
Find a polar equation for the curve represented by the given cartesian equation. x2 + y2 = 8cx |
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Answer» Find a polar equation for the curve represented by the given cartesian equation. x2 + y2 = 8cx Solution: |
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| 6575. |
An investment of $1000 today invested at 10% for two years will give a future value of? |
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Answer» An investment of $1000 today invested at 10% for two years will give a future value of? Solution: |
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| 6576. |
Given ΔABC ≅ ΔPQR, m∠B = 3v + 4, and m∠Q = 8v – 6. Find m∠B and m∠Q. 22,11,10,25 |
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Answer» Given ΔABC ≅ ΔPQR, m∠B = 3v + 4, and m∠Q = 8v – 6. Find m∠B and m∠Q. Solution: |
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| 6577. |
Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)? |
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Answer» Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)? Solution: |
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| 6578. |
Draw the box-and-whisker plot for the data; 21, 29, 25, 20, 36, 28, 32, 35, 28, 30, 29, 25, 21, 35, 26, 35, 20, 19 |
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Answer» Draw the box-and-whisker plot for the data; 21, 29, 25, 20, 36, 28, 32, 35, 28, 30, 29, 25, 21, 35, 26, 35, 20, 19 Solution: |
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| 6579. |
A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are made of a material that costs 11 cents per square centimeter, while the sides are made of a material that costs 8 cents per square centimeter. Express the total cost C of the material as a function of the radius r of the cylinder. |
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Answer» A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are made of a material that costs 11 cents per square centimeter, while the sides are made of a material that costs 8 cents per square centimeter. Express the total cost C of the material as a function of the radius r of the cylinder. Solution: |
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| 6580. |
Kirti Bookstore sold books worth Rs. 2,85,891 in the first week of June and books worth Rs. 4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much? |
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Answer» The total sale of Kriti Bookstore for the complete two weeks together was Rs. 6,86,659 and thesale of the second week was greater than that of the first week by Rs.1,14,877. The sale for the two weeks together can be calculated by addingRs. 2,85,891 andRs. 4,00,768. |
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| 6581. |
Find the area of a regular hexagon with the given measurement 48-inch perimeter A = sq. in. |
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Answer» Find the area of a regular hexagon with the given measurement 48-inch perimeter A = sq. in. Solution: |
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| 6582. |
Find the general solution of the given higher-order differential equation. y'''-6y''-7y' = 0 |
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Answer» Find the general solution of the given higher-order differential equation. y'''-6y''-7y' = 0 Solution: |
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| 6583. |
Solve for n,11(n - 1) + 35 = 3n n = -6,n = -3,n = 3,n = 6 |
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Answer» Solve for n, 11(n - 1) + 35 = 3n Solution: |
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| 6584. |
Which of the following three lengths could not create a triangle? A) 2, 3, 4 B) 3.5, 33.5, 66.5 C) 22, 2, 44 D) 1, 10, 100 |
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Answer» Which of the following three lengths could not create a triangle?A) 2, 3, 4 B) 3.5, 33.5, 66.5 C) 22, 2, 44 D) 1, 10, 100 Solution: |
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| 6585. |
In a right triangle, cos A = 0.352 and sin A = 0.936. What is the approximate value of tan A? |
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Answer» In a right triangle, cos A = 0.352 and sin A = 0.936, the value of tan A is 2.659. Trigonometry is the branch of mathematics dealing with right triangles and their relationships between their sides and angles. There are six ratios between different sides that are defined. Let's solve a questionrelated to the concept. |
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| 6586. |
The height of an equilateral triangle is 4√3 . What is the perimeter of the equilateral triangle? |
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Answer» The height of an equilateral triangle is 4√3 . What is the perimeter of the equilateral triangle? Solution: |
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| 6587. |
Find the angle which exceed its complementary by 30°. |
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Answer» 60° is theangle that exceeds its complementary angleby30°. Complementary Angles are the ones that add up to 90 degrees. |
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| 6588. |
Use the discriminant and select whether the roots of 5x2- 4x + 3 = 0 are real or non-real. |
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Answer» The roots forthe equation 5 x2+ 4x + 3 = 0are non real since the value of the discriminant D = -44 < 0. A quadratic equation is in the form of ax2 + bx + = 0. We can calculate the roots of the quadratic equation using the roots of quadratic equation calculator. |
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| 6589. |
What is the lowest term of 64/32? |
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Answer» The lowest form of 64/32 is 2/1 or 2. The lowest form of any fraction is obtained by eliminating the common factors between the numerator and the denominator. |
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| 6590. |
Every polynomial function of degree 3 with real coefficients has exactly three real zeros. True or False? |
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Answer» It is false that every polynomial function of degree 3 with real coefficients has exactly three real zeros. Polynomial functions are those functions that consist of one or more variables and constants. Depending on the degree of the polynomial, it has a certain number of zeroes. |
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| 6591. |
If you roll a pair of fair dice, what is the probability of each of the following? (round all answers to 4 decimal places) getting a sum of 1? getting a sum of 5? getting a sum of 12? |
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Answer» If you roll a pair of fair dice, what is the probability of each of the following? (round all answers to 4 decimal places) getting a sum of 1? getting a sum of 5? getting a sum of 12? Solution: |
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| 6592. |
If s(x) = x - 7 and t(x) = 4x2 + 3 which expression is equivalent to (ts)(x)? |
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Answer» If s(x) = x - 7 and t(x) = 4x2 + 3 which expression is equivalent to (ts)(x)? Solution: |
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| 6593. |
If you are solving y2 + 2y = 48 by completing the square, the next line would be |
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Answer» If you are solving y2+ 2y = 48 by completing the square, the next line would be Solution: |
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| 6594. |
How to find the x-intercept of a quadratic function? |
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Answer» To find the x-intercept of a line, we substitute y = 0 in the equation and find the corresponding value of x. The x-intercept of a line is that point where it cuts the x-axis of the graph, and the y-intercept of a line is that point where it cuts the y-axis of the graph. |
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| 6595. |
Find the exact length of the curve. x = 1/3√y(y -3), 4 ≤ y ≤ 16. |
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Answer» Find the exact length of the curve. x = 1/3√y(y − 3), 4 ≤ y ≤ 16. Solution: |
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| 6596. |
What is the integral of | x|. |
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Answer» The integral of| x| is x2/ 2if x≥ 0 and-x2/ 2if x< 0. The absolute function has an algebraic expression written within the absolute symbol such that f (x) =| x| which has all non-zero numbers. |
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| 6597. |
Find the first six terms of the sequence. a1 = 4, an = an - 1 + 8 |
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Answer» Find the first six terms of the sequence. a1 = 4, an = an - 1 + 8 Solution: |
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| 6598. |
What is 1/8 as a decimal? |
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Answer» 1/8 as a decimal is written as 0.125 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 6599. |
Represent 1/3 to the power of 3 as a fraction. |
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Answer» 1/3 to the power of 3 is represented as 1/27 as a fraction. Fractions are known as the part to a whole relation. They have two parts: a numerator and a denominator. |
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| 6600. |
In the general linear equation, y = bx + a, what is the value of b called? |
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Answer» In the general linear equation, y = bx + a, what is the value of b called? Solution: |
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