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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.
| 3551. |
Find the exact length of the curve, y = ln1 – x2, 0≤ x ≤ 16. |
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Answer» The exact length of the curve y = ln1 – x2, 0≤ x ≤ 16 is 257.093 units The exact length of a curve is a geometrical concept that addressed by integral calculus. It is a method for calculating the exact lengths of line segments. |
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| 3552. |
How many ways can you split 12 people into 3 teams of 4? |
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Answer» How many ways can you split 12 people into 3 teams of 4? Solution: |
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| 3553. |
How to write 1/2 + 1/5 as a fraction? |
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Answer» 1/2+ 1/5 can be represented as 7/10as a fraction after addition. Fractions are a very important topic in mathematics. They form an integral part of algebra. All the fundamental operations that can be performed over integers can be performed over fractions as well. Now let's solve a problem related to fractions. |
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| 3554. |
Find the number of ways to purchase 5 different kinds of juices from a selection of 10 juices. |
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Answer» Find the number of ways to purchase 5 different kinds of juices from a selection of 10 juices. Solution: |
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| 3555. |
How can you find the maximal volume of a rectangular box inscribed in a sphere? |
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Answer» How can you find the maximal volume of a rectangular box inscribed in a sphere? Solution: |
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| 3556. |
If two events a and b are mutually exclusive, what does the special rule of addition state? |
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Answer» If two events a and b are mutually exclusive, what does the special rule of addition state? Solution: |
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| 3557. |
What is the probability of the following:(Enter an exact number) An event A that is certain to occur? An event B that is impossible? |
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Answer» What is the probability of the following:(Enter an exact number) An event A that is certain to occur? An event B that is impossible? Solution: |
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| 3558. |
Explain what is polynomials factoring? |
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Answer» The process involved in breaking a polynomial into its factors is known as the factoring of polynomials. Apolynomialis a type of expression in which the exponentsof allvariablesshould be awhole number. |
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| 3559. |
Three coins are tossed at once. What is the probability of two heads and one tail? |
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Answer» Three coins are tossed at once. What is the probability of two heads and one tail? Solution: |
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| 3560. |
Explain the term entire function. |
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Answer» Entire function isa function withcomplex values, which is differentiable at almost each and every point of its domain (holomorphic)on the complete complex plane. In mathematics, a functionmeans a correspondence from one value x of the firstsetto another value y of the second set. |
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| 3561. |
What is 6%as a fraction? |
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Answer» 6%as a fraction is 3/50 Percent means per hundred or for every hundred. We represent it as %. |
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| 3562. |
What is 14%as a fraction? |
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Answer» 14%as a fraction is 7/50 Percent means per hundred or for every hundred. We represent it as %. |
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| 3563. |
What is 35%as a fraction? |
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Answer» 35%as a fraction is 7/20 Percent means per hundred or for every hundred. We represent it as %. |
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| 3564. |
What is 1%as a fraction? |
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Answer» 1%as a fraction is 1/100 Percent means per hundred or for every hundred. We represent it as %. |
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| 3565. |
Consider the sets below. A = {x|x is a polygon}, B = {x|x is a triangle}. Which is true? A ⊂ B,A ⊃ B,A ⊆ B,A ⊇ B |
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Answer» Consider the sets below. A = {x|x is a polygon}, B = {x|x is a triangle}. Which is true? Solution: |
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| 3566. |
Find the length of the curve r(t) = 9t, 3 cos(t), 3 sin(t) , -3 ≤ t ≤ 3? |
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Answer» Find the length of the curve r(t) = 9t, 3 cos(t), 3 sin(t) , -3 ≤ t ≤ 3? Solution: |
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| 3567. |
30 Percent as a fraction in simplest form |
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Answer» 30%as a fraction in simplest form is 3/10 Percent means per hundred or for every hundred. We represent it as %. |
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| 3568. |
What is the confidence interval estimate of the population mean? |
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Answer» What is the confidence interval estimate of the population mean? Solution: |
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| 3569. |
Choose the correct classification of 5x + 2x2 - 8 by number of terms and by degree. Third degree polynomial Fourth degree trinomial Second degree trinomial Sixth degree polynomial |
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Answer» Choose the correct classification of 5x + 2x2-8 by number of terms and by degree. Solution: |
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| 3570. |
Use the laplace transform to solve the given initial-value problem. y' + 5y = e4t, y(0) = 2 |
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Answer» Use the laplace transform to solve the given initial-value problem. y' + 5y = e4t, y(0) = 2 Solution: |
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| 3571. |
The number part when a number and a variable are multiplied together in a term is called the _____. |
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Answer» The number part when a number and a variable are multiplied together in a term is called the _____. Solution: |
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| 3572. |
What is the equation in the standard form of a parabola that models the values in the table x -1, 0, 2 f(x) 12, 5, 15? |
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Answer» What is the equation in the standard form of a parabola that models the values in the table Solution: |
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| 3573. |
Find the maclaurin series for f(x) = cos(x2) and use it to determine f8(0). |
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Answer» Find the maclaurin series for f(x) = cos(x2) and use it to determine f8(0). Solution: |
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| 3574. |
Adjacent sides of a parallelogram are equal and one of the diagonals is equal to any one of the sides of this parallelogram. Show that its diagonals are in the ratio square root of 3 :1. |
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Answer» If adjacent sides of a parallelogram are equal and one of the diagonals is equal to any one of the sides of the parallelogram, then AC : BD = ⎷3 : 1. A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal. |
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| 3575. |
What is the sum of the geometric sequence -1, 6, -36, ... if there are 7 terms? |
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Answer» What is the sum of the geometric sequence -1, 6, -36, ... if there are 7 terms? Solution: |
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| 3576. |
If triangle ABC is congruent to triangle XYZ, then which of the following is congruent to CA? AB, XY, YZ, ZX |
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Answer» If triangle ABC is congruent to triangle XYZ, then which of the following is congruent to CA? Solution: |
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| 3577. |
Find 2x − 3y − z if x = −2, y = 3, and z = −2 |
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Answer» The value of the expression2x − 3y − z is -9. Substitution is the method of substituting the given values into the expression to find the desired value. |
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| 3578. |
If you invest $10,000 today at 10% interest, how much will you have in 10 years? |
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Answer» If you invest $10,000 today at 10% interest, how much will you have in 10 years? Solution: |
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| 3579. |
What are trigonometric ratios and their importance? |
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Answer» What are trigonometric ratios and their importance? Solution: |
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| 3580. |
If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f*g)(10)? 37, 97, 126, 606 |
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Answer» If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f*g)(10)? Solution: |
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| 3581. |
What is the equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6? |
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Answer» What is the equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6? Solution: |
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| 3582. |
What is the sum of the first 7 terms of the series -4 + 8 - 16 + 32 -...? |
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Answer» What is the sum of the first 7 terms of the series -4 + 8 - 16 + 32 -...? Solution: |
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| 3583. |
The endpoints of a diameter of a circle are A (2, 1) and B (5, 5). Find the area of the circle in terms of pi? |
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Answer» The endpoints of a diameter of a circle are A (2, 1) and B (5, 5). Find the area of the circle in terms of pi? Solution: |
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| 3584. |
What is the 20th term of the sequence that begins −4, 8, −16, 32, ..... ? |
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Answer» The 20th term of the sequencethat begins −4, 8, −16, 32, ..... is2097152. If the ratio between two consecutive terms in a sequence is same throughout, then the sequence is called a geometric progression. |
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| 3585. |
What are the x- and y-intercepts of the graph of y = x2 + x - 6? |
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Answer» What are the x- and y-intercepts of the graph of y = x2 + x - 6? Solution: |
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| 3586. |
Which is a factor of x² - 9x + 14? x - 9, x - 2, x + 5, x + 7 |
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Answer» Which is a factor of x² - 9x + 14? x - 9, x - 2, x + 5, x + 7 Solution: |
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| 3587. |
Angle BCD is a circumscribed angle of circle A. What is the measure of angle BCD? 37°, 53°, 74°, 106° |
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Answer» Angle BCD is a circumscribed angle of circle A. What is the measure of angle BCD?
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| 3588. |
What is the area of a triangle with sides of 10 inches and a height of 7 inches |
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Answer» What is the area of a triangle with sides of 10 inches and a height of 7 inches Solution: |
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| 3589. |
Find the length of the curve. r(t) = 3t, 3 cos(t), 3 sin(t) , -4 ≤ t ≤ 4? |
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Answer» Find the length of the curve. r(t) = 3t, 3 cos(t), 3 sin(t) , -4 ≤ t ≤ 4? Solution: |
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| 3590. |
How to find the amplitude period and frequency of a trigonometric function? |
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Answer» How to find the amplitude period and frequency of a trigonometric function? Solution: |
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| 3591. |
80 Percent as a fraction in simplest form |
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Answer» 80%as a fraction in simplest form is 4/5 Percent means per hundred or for every hundred. We represent it as %. |
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| 3592. |
Find the area of a triangle with a base of 8 m and a height of 6 m. |
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Answer» Find the area of a triangle with a base of 8 m and a height of 6 m. Solution: |
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| 3593. |
What is 80%as a fraction in simplest form? |
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Answer» 80% as a fraction in simplest form is 4 / 5. To writea fraction in its simplest form means that the numerator and denominatorcan no longer be divided by the same whole number exactly or evenly. |
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| 3594. |
A cone with a radius of 3" has a total area of 24 sq. in. Find the volume of the cone. |
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Answer» A cone with a radius of 3" has a total area of 24 sq. in. Find the volume of the cone. Solution: |
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| 3595. |
If you add up all the numbers on a pair of dice, what does it equal? |
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Answer» If you add up all the numbers on a pair of dice, you will get 42. Dice is also a type of cube which contains a total of 6 faces. |
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| 3596. |
How to find the sides of a right-angled triangle withone given side? |
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Answer» Wecan find any side of the triangle if we know an angle(other than the right angle) and anyone side. In a right-angled triangle,Pythagoras theorem, as well as trigonometric laws, hold true. |
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| 3597. |
0.66 as a fraction in simplest form is expressed as? |
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Answer» 0.66 as a fraction in simplest form is33/50. Writing a fraction in its simplest form means that the numerator and the denominator can no longer be divided by the same whole number exactly or evenly. |
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| 3598. |
0.21 as a fraction in simplest form is expressed as? |
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Answer» 0.21 as a fraction in simplest form is 21/100. Writing a fraction in its simplest form means that the numerator and the denominator can no longer be divided by the same whole number exactly or evenly. |
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| 3599. |
Segment BD is an altitude of triangle ABC. Find the area of the triangle. 7.5,9.5,10,15 |
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Answer» Segment BD is an altitude of triangle ABC. Find the area of the triangle.
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| 3600. |
Find the length of the curve r(t) = 5t, 3 cos(t), 3 sin(t) , -3 ≤ t ≤ 3? |
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Answer» Find the length of the curve r(t) = 5t, 3 cos(t), 3 sin(t) , -3 ≤ t ≤ 3? Solution: |
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