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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.
| 3351. |
Find the inverse of the functionf(x) = [cube root x/7]- 9 |
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Answer» The Inverse of the functionf(x) = [cube root x/7]- 9 is 7 (x + 9)3. An inverse function is the reverse of an original function. |
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| 3352. |
Derive the Equation of the Parabola with a Focus at (2, 4) and a Directrix of y = 8. |
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Answer» The Equation of the Parabola with a Focus at (2, 4) and a Directrix of y = 8 is x2- 4x +8y -44= 0. We will be solving this by using the focus point and the directrix. |
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| 3353. |
45° 90° 180° 360° |
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Answer» What is the least angle measure by which this figure can be rotated so that it maps onto itself?45° 90° 180° 360° Solution: |
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| 3354. |
What is the least angle measure by which this figure can be rotated so that it maps onto itself? |
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Answer» What is the least angle measure by which this figure can be rotated so that it maps onto itself?45° 90° 180° 360° Solution: |
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| 3355. |
What is the center of a circle whose equation is x2 + y2 - 12x - 2y + 12 = 0? |
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Answer» What is the center of a circle whose equation is x2+ y2- 12x - 2y + 12 = 0? Solution: |
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| 3356. |
How do you use an exponent to represent a number such as 16? |
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Answer» We can express 16 in exponential form as 24or 42. An exponent is defined as the number of times a given number is multiplied by itself. For example, 53means 5 is multiplied by itself 3 times. |
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| 3357. |
Which function has zeros at x = -2 and x = 5? f(x) = x2 + 2x - 10 f(x) = x2 - 2x - 10 f(x) = x2 + 3x - 10 f(x) = x2 - 3x - 10 |
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Answer» Which function has zeros at x = -2 and x = 5? Solution: |
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| 3358. |
Find the degree measure of an angle of 3π/5 radians. |
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Answer» The degree measure of angle 3π/5 is 108 degrees. Degrees and radians are two different measures of angles; both of which are convenient to use for different problems. Now, we will have a look at the conversion from radians to degrees. |
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| 3359. |
What is the least common denominator of 3/4, 4/5 and 2/3? |
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Answer» The least common denominator of 3/4, 4/5and 2/3 is 60 To find the least common denominator, we will find the LCM of 4, 5, and 3 |
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| 3360. |
Find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm. |
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Answer» Find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm. Solution: |
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| 3361. |
Given that f(x) = 2x - 5, find the value of x that makes f(x) = 15. |
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Answer» Given that f(x) = 2x - 5, find the value of x that makes f(x) = 15. Solution: |
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| 3362. |
The price of a silk scarf is $32. The sales tax is $1.92. What is the sales tax rate? |
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Answer» The price of a silk scarf is $32. The sales tax is $1.92. What is the sales tax rate? Solution: |
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| 3363. |
Ramesh bought 2 boxes for Rs. 1300. He sold one box at a profit of 20% and the other at a loss of 12%. If the selling price of both the boxes is the same. Find the cost of each box. |
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Answer» The cost price of the first box and the second box where the 2 boxes are bought for Rs.1300, the first one sold at a profit of 20% and the other at a loss of 12% with theirselling price to be the same areRs 550 and Rs 750 respectively 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. |
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| 3364. |
The center of a circle is at (2, −5), and its radius is 12. What is the equation of the circle? |
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Answer» The equation of a circle that has its center at (2, −5) and has a radius of 12 is (x - 2)2 + (y + 5)2 = 144. The standard equation of circle is (x − h)2 + (y − k)2 = r2. Let us use this to find the answer. |
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| 3365. |
The probability of rolling a '4' or a '6' on one toss of a standard six-sided die is |
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Answer» The probability of rolling a '4' or a '6' on one toss of a standard six-sided die is Solution: |
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| 3366. |
What is 10% in decimal form? |
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Answer» 10% as a decimal form is given as 0.1 Percentage is defined as a given part or amount in every hundred |
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| 3367. |
Find the slope of the line that passes through the pair of points. (4, 5), (10,0) |
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Answer» Find the slope of the line that passes through the pair of points. (4, 5), (10,0) Solution: |
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| 3368. |
If a classroom contains 35 students, 2/5 of which are girls, then how many boys are in the class? |
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Answer» If a classroom contains 35 students, 2/5 of which are girls, then how many boys are in the class? Solution: |
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| 3369. |
What is the slope and y-intercept of the equation 3(y - 2) + 6(x + 1) - 2 = 0? |
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Answer» What is the slope and y-intercept of the equation 3(y - 2) + 6(x + 1) - 2 = 0? Solution: |
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| 3370. |
Find the equation of the parabola with the vertex at (0, 0) and the focus at (-1, 0). |
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Answer» Find the equation of the parabola with the vertex at (0, 0) and the focus at (-1, 0). Solution: |
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| 3371. |
When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles? 180° 270° 360° 540° |
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Answer» When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles? 180° 270° 360° 540° Solution: |
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| 3372. |
What is 2/3 as a decimal? |
| Answer» 2/3 as a decimal is 0.6666... | |
| 3373. |
Find the dimensions of a rectangle with area 1,331m2 whose perimeter is as small as possible. |
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Answer» Find the dimensions of a rectangle with area 1,331m2whose perimeter is as small as possible. Solution: |
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| 3374. |
How many different permutations are there of the set {a, b, c, d, e, f, g}? |
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Answer» The different permutations for the given set{a, b, c, d, e, f, g} is 7! which is 5040. We will use the concept of permutation and combinations in order to find the number of arrangements. |
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| 3375. |
A coin is tossed 5 times in a row. What is the size of the sample space of this experiment? |
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Answer» The size of the sample space of tossing 5 coins in a row is 32. Asample space is the collection of all the possible outcomes for an event. A coin has only two possible outcomes when tossedoncewhich are Head and Tail. |
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| 3376. |
Choose the best description of the roots of the equation 3x2 - 4x + 5 = 0. Double root Real and rational roots Real and irrational roots Imaginary roots |
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Answer» Choose the best description of the roots of the equation 3x2- 4x + 5 = 0. Solution: |
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| 3377. |
The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420. What is the sum of the 4 scores that are NOT the median? |
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Answer» The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420. What is the sum of the 4 scores that are NOT the median? Solution: |
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| 3378. |
What is the slope of the line that is perpendicular to the line whose equation is 2x + y = 4? |
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Answer» What is the slope of the line that is perpendicular to the line whose equation is 2x + y = 4? Solution: |
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| 3379. |
How to find the x and y intercepts of a parabola? |
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Answer» The x-intercept is found by x = b + (a2 / 4c) any y-intercept byy = a + (-4cb)0.5 We will use the concept of the general form of a parabola to find the x and y intercepts |
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| 3380. |
What is a normal distribution with a mean of 0 and a standard deviation of 1 called? Frequency distribution z-score Standard normal distribution Binomial probability distribution |
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Answer» What is a normal distribution with a mean of 0 and a standard deviation of 1 called? Solution: |
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| 3381. |
Solve for n: 21k - 3n + 9p > 3p + 12. |
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Answer» Solve for n: 21k - 3n + 9p > 3p + 12. Solution: |
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| 3382. |
What are the coordinates of the vertex of the parabola with the equation y = x2 + 2x – 3? |
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Answer» What are the coordinates of the vertex of the parabola with the equation y = x2 + 2x – 3? Solution: |
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| 3383. |
Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)). |
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Answer» Let f(x) = x + 8 and g(x) = x2- 6x - 7. Find f(g(2)). Solution: |
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| 3384. |
The limit represents f'(c) for a function f(x) and a number c. Find f(x) and c. lim∆→0 [3 - 2(9 + Δx) - (-15)]/Δx |
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Answer» The limit represents f'(c) for a function f(x) and a number c. Find f(x) and c. lim∆→0 [3 - 2(9 + Δx) - (-15)]/Δx Solution: |
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| 3385. |
Let f(x) = x - 3 and g(x) = x + 11. find f(x) ⋅ g(x). |
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Answer» Let f(x) = x - 3 and g(x) = x + 11. find f(x) ⋅ g(x). Solution: |
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| 3386. |
Use the binomial series to expand the function as a power series. 7/(4 + x)3 |
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Answer» Use the binomial series to expand the function as a power series. 7/(4 + x)3 Solution: |
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| 3387. |
d. Percent Frequency |
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Answer» Ahistogram is not appropriate for displaying cumulative frequency. A histogram is an advanced bar representation of the data on the graphs whose length represents the frequency and area is proportional to the frequency variable. |
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| 3388. |
c. Cumulative Frequency |
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Answer» Ahistogram is not appropriate for displaying cumulative frequency. A histogram is an advanced bar representation of the data on the graphs whose length represents the frequency and area is proportional to the frequency variable. |
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| 3389. |
b. Relative Frequency |
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Answer» Ahistogram is not appropriate for displaying cumulative frequency. A histogram is an advanced bar representation of the data on the graphs whose length represents the frequency and area is proportional to the frequency variable. |
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| 3390. |
a. Frequency |
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Answer» Ahistogram is not appropriate for displaying cumulative frequency. A histogram is an advanced bar representation of the data on the graphs whose length represents the frequency and area is proportional to the frequency variable. |
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| 3391. |
A histogram is not appropriate for displaying which of the following types of information? |
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Answer» Ahistogram is not appropriate for displaying cumulative frequency. A histogram is an advanced bar representation of the data on the graphs whose length represents the frequency and area is proportional to the frequency variable. |
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| 3392. |
Let A = {a, b, c}, B = {x, y}, and C = {0, 1}. Find A x B x C C x B x A C x A x B B x B x B |
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Answer» Let A = {a, b, c}, B = {x, y}, and C = {0, 1}. Find A x B x C, C x B x A, C x A x B, B x B x B Solution: |
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| 3393. |
An isosceles trapezoid has bases of 4 and 10. If the base angle is 45°, find the area. |
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Answer» An isosceles trapezoid has bases of 4 and 10. If the base angle is 45°, find the area. Solution: |
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| 3394. |
Find the slope of the line whose equation is x + y = 6 is |
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Answer» Find the slope of the line whose equation is x + y = 6 is Solution: |
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| 3395. |
What is the formula for the area of a rectangle? |
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Answer» The formula for the area of a rectangleis length × width or l × w. With four sides and four corners, arectangle is a closed two-dimensional figure in geometry. In a rectangle, the lengths of its opposite sides are equal and parallel to each other. Also,the angle formed by its adjacent sides is 90°. |
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| 3396. |
What is a factor of f(x) = 5x3 + 24x2 - 75x + 14? |
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Answer» What is a factor of f(x) = 5x3 + 24x2 - 75x + 14? Solution: |
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| 3397. |
A strip of wood 66 inches long is cut into 5½-inch pieces. How many pieces can be cut? |
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Answer» A strip of wood 66 inches long is cut into 5½-inch pieces. How many pieces can be cut? Solution: |
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| 3398. |
How much is 2 to the power of 1/2? |
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Answer» 2 to the power of 1/2 is √2 or 1.4142… By using the multiplication rule of exponents and power we will solve this question. The exponent of any number represents how many times to use the number in a multiplication. |
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| 3399. |
What is the area of a circle with a radius of 4 units? |
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Answer» The area of the circle with a radius of 4 unitsis 16πsq. units. The area of a circle isthe amount of space enclosed within the boundary of a circle. |
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| 3400. |
What is 3 to the power of 9? |
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Answer» 3 to the power of 9 is 19683. We will solve this question by using the multiplication rule of exponents and power. The exponent of any number represents how many times to use the number in a multiplication. |
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