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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your General Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 301. |
What value of n would make point A the circumcenter? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What value of n would make point A the circumcenter?</strong><p><strong>Solution:</strong></p> | |
| 302. |
The isosceles trapezoid is part of an isosceles triangle with a 34 degree vertex angle. What is the measure of an acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not drawn to scale. 73; 107 34; 146 73; 146 34; 107 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">The isosceles trapezoid is part of an isosceles triangle with a 34 degree vertex angle. What is the measure of an acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not drawn to scale.</strong><p><strong>Solution:</strong></p> | |
| 303. |
In how many different orders can you line up 8 cards on a table. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">In how many different orders can you line up 8 cards on a table.</strong><p><strong>Solution:</strong></p> | |
| 304. |
What is the next number in the sequence 9, 3, 1, 1/3? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the next number in the sequence 9, 3, 1, 1/3?</strong><p><strong>Solution:</strong></p> | |
| 305. |
Which shows the four-term polynomial and factored form of x² + 6x - 27? x2 + 3x - 9x - 27 = (x + 3)(x - 9) x2 + 6x - 3x - 27 = (x + 6)(x - 3) x2 + 9x - 3x - 27 = (x + 9)(x - 3) x2 + 3x - 6x - 27 = (x + 3)(x - 6) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which shows the four-term polynomial and factored form of x² + 6x - 27?</strong><p><strong>Solution:</strong></p> | |
| 306. |
What must be added to 3x - 7 to make x2 + 4x - 1? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What must be added to 3x - 7 to make x<sup>2</sup> + 4x - 1?</strong><p><strong>Solution:</strong></p> | |
| 307. |
Which is the correct formula to find the distance between two points (a, b) and (c, d)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which is the correct formula to find the distance between two points (a, b) and (c, d)?</strong><p><strong>Solution:</strong></p> | |
| 308. |
Which of the following expressions is equal to 0 for some value of x? |x - 1| - 1 |x + 1| + 1 |1 - x| + 1 |x - 1| + 1 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which of the following expressions is equal to 0 for some value of x?</strong><p><strong>Solution:</strong></p> | |
| 309. |
Find the angle between a diagonal of a cube and one of its edges. (Round your answer to the nearest degree). |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the angle between a diagonal of a cube and one of its edges. (Round your answer to the nearest degree).</strong><p><strong>Solution:</strong></p> | |
| 310. |
Find the values of the six trigonometric functions of theta based on the following constraints: 1) Theta is found in quadrant II. 2) sin theta = 3/5 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the values of the six trigonometric functions of theta based on the following constraints: 1) Theta is found in quadrant II. 2) sin theta = 3/5</strong><p><strong>Solution:</strong></p> | |
| 311. |
If the sin 30° = 1 over 2, then the cos 60° = _____. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">If the sin 30° = 1 over 2, then the cos 60° = _____.</strong><p><strong>Solution:</strong></p> | |
| 312. |
In how many ways can 3 boys and 3 girls sit in a row |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">In how many ways can 3 boys and 3 girls sit in a row</strong><p><strong>Solution:</strong></p> | |
| 313. |
Solve the differential equation by variation of parameters. y'' + y = sec x |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Solve the differential equation by variation of parameters. y'' + y = sec x</strong><p><strong>Solution:</strong></p> | |
| 314. |
Solve the given differential equation by separation of variables. x dy/dx = 8y |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Solve the given differential equation by separation of variables. x dy/dx = 8y</strong><p><strong>Solution:</strong></p> | |
| 315. |
Find a. b if a = 9i - 6j, b = 5i + 5 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find a. b if a = 9i - 6j, b = 5i + 5</strong><p><strong>Solution:</strong></p> | |
| 316. |
Find a.b if a = 8i + 6j, b = 4i + 5j |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find a.b if a = 8i + 6j, b = 4i + 5j</strong><p><strong>Solution:</strong></p> | |
| 317. |
What is the period and phase shift for f(x) = 3 tan(4x + π)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the period and phase shift for f(x) = 3 tan(4x + π)?</strong><p><strong>Solution:</strong></p> | |
| 318. |
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ? m∠X + m∠Z < 90° m∠Y > 90° ∠X and∠Y are complementary m∠X + m∠Y < 90° |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?</strong><p><strong>Solution:</strong></p> | |
| 319. |
What is the quotient of (5x2 - 22x + 8) ÷ (x - 4)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the quotient of (5x<sup>2</sup> - 22x + 8) ÷ (x - 4)?</strong><p><strong>Solution:</strong></p> | |
| 320. |
What is the slope of the line passing through (1, 2) and (3, 8)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the slope of the line passing through (1, 2) and (3, 8)?</strong><p><strong>Solution:</strong></p> | |
| 321. |
What is the slope of the equation y - 3 = -4(x - 5)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the slope of the equation y - 3 = -4(x - 5)?</strong><p><strong>Solution:</strong></p> | |
| 322. |
Which number comes next in this series: 2, 3, 4, 8, 9, 10, 20, 21, 22? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which number comes next in this series: 2, 3, 4, 8, 9, 10, 20, 21, 22?</strong><p><strong>Solution:</strong></p> | |
| 323. |
Find a.b if a = 7i - 4j, b = 4i + 3j |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find a.b if a = 7i - 4j, b = 4i + 3j</strong><p><strong>Solution:</strong></p> | |
| 324. |
Evaluate the summation of 2 n plus 5, from n equals 1 to 12. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Evaluate the summation of 2 n plus 5, from n equals 1 to 12.</strong><p><strong>Solution:</strong></p> | |
| 325. |
Which is greater - 2/9 or 0? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which is greater - 2/9 or 0?</strong><p><strong>Solution:</strong></p> | |
| 326. |
Find the vertex, focus, directrix, and focal width of the parabola. x = 4y2 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the vertex, focus, directrix, and focal width of the parabola. x = 4y<sup>2</sup></strong><p><strong>Solution:</strong></p> | |
| 327. |
Which expression represents the sixth term in the binomial expansion of (5y + 3)10? 10C5(5y)5(3)5 10C6(5y)4(3)6 5(10C5(y)5(3)5) 5(10C6(y)4(3)6) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which expression represents the sixth term in the binomial expansion of (5y + 3)<sup>10</sup>?</strong><p><strong>Solution:</strong></p> | |
| 328. |
Write the expression below so that only a single logarithm or exponential function appears.. . (1/2)ln(z) - ln(5 + x) - 4 ln(y) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Write the expression below so that only a single logarithm or exponential function appears.. . (1/2)ln(z) - ln(5 + x) - 4 ln(y)</strong><p><strong>Solution:</strong></p> | |
| 329. |
Which expression represents the fourth term in the binomial expansion of (e + 2f)10? 10C3(e7)(2f)3 10C3(e7)(f)3 10C4(e6)(2f)4 10C4(e6)(f)4 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Which expression represents the fourth term in the binomial expansion of (e + 2f)<sup>10</sup>?</strong><p><strong>Solution:</strong></p> | |
| 330. |
What are the first four terms of the sequence represented by the expression n(n - 1) - 4. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What are the first four terms of the sequence represented by the expression n(n - 1) - 4.</strong><p><strong>Solution:</strong></p> | |
| 331. |
The figure is a parallelogram. The m∠ACD = (4x + 4)° and m∠ABD = (6x - 14)°. Find m∠ACD. 9°, 24°, 40°, 60° |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">The figure is a parallelogram. The m∠ACD = (4x + 4)° and m∠ABD = (6x - 14)°. Find m∠ACD.</strong><p><strong>Solution:</strong></p> | |
| 332. |
An equation of a line perpendicular to the line represented by the equation y = -1/2x - 5 and passing through (6, -4) is what? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">An equation of a line perpendicular to the line represented by the equation y = -1/2x - 5 and passing through (6, -4) is what?</strong><p><strong>Solution:</strong></p> | |
| 333. |
What is the standard form equation of the ellipse with vertices at (0, 6) and (0, -6) and co vertices at (4, 0) and (-4, 0)? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the standard form equation of the ellipse with vertices at (0, 6) and (0, -6) and co vertices at (4, 0) and (-4, 0)?</strong><p><strong>Solution:</strong></p> | |
| 334. |
Solve 2x2 + 3x - 7 = x2 + 5x + 39 for x. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Solve 2x<sup>2</sup> + 3x - 7 = x<sup>2</sup> + 5x + 39 for x.</strong><p><strong>Solution:</strong></p> | |
| 335. |
One side of a square is 3x + 2. Which expression represents the perimeter? 2(3x + 2) (3x + 2)2 4(3x + 2) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">One side of a square is 3x + 2. Which expression represents the perimeter?</strong><p><strong>Solution:</strong></p> | |
| 336. |
What is the missing number in the series? 1, 16, 81, __, 625, 1296 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the missing number in the series? 1, 16, 81, __, 625, 1296</strong><p><strong>Solution:</strong></p> | |
| 337. |
Find sin θ if cot θ = -2 and cos θ < 0. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find sin θ if cot θ = -2 and cos θ < 0.</strong><p><strong>Solution:</strong></p> | |
| 338. |
What is the axis of symmetry for the function f(x) = 2x2 - 8x + 8? |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the axis of symmetry for the function f(x) = 2x<sup>2</sup> - 8x + 8?</strong><p><strong>Solution:</strong></p> | |
| 339. |
Find the vertex, focus, directrix, and focal width of the parabola. x = 10y². |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the vertex, focus, directrix, and focal width of the parabola. x = 10y².</strong><p><strong>Solution:</strong></p> | |
| 340. |
What is the value of x? 2 units,3 units, 5 units, 8 units |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">What is the value of x? 2 units,3 units, 5 units, 8 units</strong><p><strong>Solution:</strong></p> | |
| 341. |
Find an equation for the line perpendicular to the tangent line to the curve y = x3 - 4x + 1 at the point (2, 1). |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find an equation for the line perpendicular to the tangent line to the curve y = x<sup>3</sup> - 4x + 1 at the point (2, 1).</strong><p><strong>Solution:</strong></p> | |
| 342. |
A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is</strong><p><strong>Solution:</strong></p> | |
| 343. |
Find the area under the standard normal curve to the left of z = 0.35. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the area under the standard normal curve to the left of z = 0.35.</strong><p><strong>Solution:</strong></p> | |
| 344. |
The area of a square garden is 200m how long is the diagonal. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">The area of a square garden is 200m how long is the diagonal</strong><p><strong>Solution:</strong></p> | |
| 345. |
Find the area of the following figure. (attached) |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the area of the following figure. (attached)</strong><p><strong>Solution:</strong></p> | |
| 346. |
Find a polar equation for the curve represented by the given Cartesian equation. 2x + 3y = 6 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find a polar equation for the curve represented by the given Cartesian equation. 2x + 3y = 6</strong><p><strong>Solution:</strong></p> | |
| 347. |
Find the radian measure of the central angle of a circle of radius r = 90 inches that intercepts an arc of length s = 130 inches. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the radian measure of the central angle of a circle of radius r = 90 inches that intercepts an arc of length s = 130 inches.</strong><p><strong>Solution:</strong></p> | |
| 348. |
Write the equation of the given circle. center (3, 3) radius of 2. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Write the equation of the given circle. center (3, 3) radius of 2.</strong><p><strong>Solution:</strong></p> | |
| 349. |
Find the side labeled X in the picture, then round to 5 decimal places. |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the side labeled X in the picture, then round to 5 decimal places.</strong><p><strong>Solution:</strong></p> | |
| 350. |
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 27x3, y = 0, x = 1; about x = 2 |
| Answer» <strong style="font-size: 15px; line-height: 20px !important;">Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 27x<sup>3</sup>, y = 0, x = 1; about x = 2</strong><p><strong>Solution:</strong></p> | |