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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.
| 4251. |
How to find the radius of a sphere with the circumference? |
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Answer» The radius of a sphere with the circumference is C/ 2π. A sphere is a three dimensional figure that has no vertices, no edges and only one curved face. |
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| 4252. |
16, 20, 25, 50 |
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Answer» What value of x will make △ONM similar to △SRQ by the SAS similarity theorem? 16, 20, 25, 50 Solution: |
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| 4253. |
What value of x will make △ONM similar to △SRQ by the SAS similarity theorem? |
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Answer» What value of x will make △ONM similar to △SRQ by the SAS similarity theorem? 16, 20, 25, 50 Solution: |
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| 4254. |
Factorise 2x2+ 7x + 3 |
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Answer» The factors of 2x2+ 7x + 3are ( x + 3) and (2x + 1) To factors of the above equation will be in the form of (x + a) (x - b). |
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| 4255. |
How many triangles can be made if two sides are 4 inches and the angle between them is 90°? |
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Answer» How many triangles can be made if two sides are 4 inches and the angle between them is 90°? Solution: |
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| 4256. |
If one zero of the polynomial (a2+ 2 ) x2+ 10 x +3ais the reciprocal of the other. Finda. |
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Answer» If one zero of the polynomial (a2+ 2 ) x2+ 10 x +3ais the reciprocal of the other. The value of a is 1, 2. The zeroofa polynomial is a value of the variable in the polynomial that makes the whole polynomial equal to zero. The Sum of the zeroes is -b / a and the product of zeroes is c / a. |
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| 4257. |
Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y = 3. |
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Answer» Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y = 3. Solution: |
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| 4258. |
Evaluate the indefinite integral as an infinite series ∫ cos x-1/x dx. |
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Answer» Evaluate the indefinite integral as an infinite series ∫ cos x-1/x dx. Solution: |
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| 4259. |
Factorize the following 3x2 - 10x + 8. |
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Answer» Factorize the following 3x2 - 10x + 8. Solution: |
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| 4260. |
Chord AC intersects chord BD at point P in circle Z. AP = 12m, DP = 5m, PC = 6m. What is BP? |
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Answer» Chord AC intersects chord BD at point P in circle Z. AP = 12m, DP = 5m, PC = 6m What is BP?
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| 4261. |
Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round your answer to the nearest tenth. |
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Answer» Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round your answer to the nearest tenth. Solution: |
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| 4262. |
15 is 30 of what number? |
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Answer» 15 is 1/2 of 30 A fraction can be a portionor section of any quantity out of a whole. |
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| 4263. |
If ab = 10 and a2 + b2 = 30, then solve for y in y = (a + b)2? |
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Answer» If ab = 10 and a2+ b2= 30, then solve for y in y = (a + b)2? Solution: |
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| 4264. |
Write the equation 5x - 2y = 10 in the form y = mx + b. |
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Answer» Write the equation 5x - 2y = 10 in the form y = mx + b. Solution: |
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| 4265. |
What are the real and imaginary parts of the complex number 2 − 5i ? |
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Answer» The real number is 2 and the imaginary number is - 5. The real and imaginary parts are added to find the solution for a complex number. |
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| 4266. |
What is the value of z so that -9 and 9 are both solutions of x2 + z = 103 |
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Answer» What is the value of z so that -9 and 9 are both solutions of x2+ z = 103 Solution: |
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| 4267. |
Three tankers contain 403 liters, 434 liters, and 465 liters of diesel respectively. Find the capacity of a container that can measure the diesel of three containers exact number of times. |
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Answer» The capacity of a container that can measure the diesel of three containers exact number of times is 31 liters The term capacity is used for measuring the volume of a liquid. |
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| 4268. |
Write an equation of the line that passes through the point (1,9) and has the slope 5. |
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Answer» Write an equation of the line that passes through the point (1,9) and has the slope 5. Solution: |
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| 4269. |
What is the average rate of change of the function over the interval x = 0 to x = 5? f(x) = 42x + 1 |
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Answer» What is the average rate of change of the function over the interval x = 0 to x = 5? f(x) = 42x + 1 Solution: |
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| 4270. |
Which is a factor of 3x2y2 + 6x2 + 12y2 + 24? 6, x2 + 2, y2 + 6, x2 + 4 |
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Answer» Which is a factor of 3x2y2 + 6x2 + 12y2 + 24 ? 6, x2 + 2, y2 + 6, x2 + 4 Solution: |
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| 4271. |
Find the derivative of e2x. |
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Answer» The derivativee2xis2 (e2x). e2xis a natural exponential function where 'e' is an Euler number whose value is2.718281828459... |
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| 4272. |
Please help! If the telescope is 9 m deep and 12 m wide, how far is the focus from the vertex? |
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Answer» Please help! If the telescope is 9 m deep and 12 m wide, how far is the focus from the vertex? Solution: |
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| 4273. |
What is 3 times 1/3? |
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Answer» 3 times 1/3 is equal to 1. We need to multiply the whole number 3 with the fraction 1/3. |
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| 4274. |
What is the value of sinθ given that (-3, 4) is a point on the terminal side of θ? |
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Answer» What is the value of sinθ given that (-3, 4) is a point on the terminal side of θ? Solution: |
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| 4275. |
Find the exact length of the curve x = 1/3 √y (y - 3), 16 ≤ y ≤ 25. |
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Answer» Find the exact length of the curve x = 1/3 √y (y - 3), 16 ≤ y ≤ 25. Solution: |
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| 4276. |
What is 0 divided by 0? |
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Answer» 0 divided by 0 is undefined. Divisionmeans sharing equally andwe cannot share 0 items equally. |
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| 4277. |
Find the area of a segment formed by a chord 8" long in a circle with a radius of 8"? |
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Answer» Find the area of a segment formed by a chord 8" long in a circle with radius of 8"? Solution: |
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| 4278. |
How do you find the mean of a data set? |
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Answer» Wefind the mean of a data set by dividingthe sum of the entries by the total number of entries in that data set. Meanis the sum of all the items in a list or collection, divided by the number of items |
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| 4279. |
What is the reciprocal of 7? |
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Answer» What is the reciprocal of 7? Solution: |
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| 4280. |
What is the value of sinθ given that (3, -7) is a point on the terminal side of θ? -(3√58/58),7√58/58, -(7√58/58),3√58/58 |
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Answer» What is the value of sinθ given that (3, -7) is a point on the terminal side of θ? Solution: |
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| 4281. |
Write the following inequality in slope-intercept form. -6x + 2y ≤ 42 |
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Answer» Write the following inequality in slope-intercept form. -6x + 2y ≤ 42 Solution: |
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| 4282. |
Which of the following systems is equivalent to the given system?2/3x - y = 2, x +1/2y = -3 2x - 3y = 6 and 2x + y = 6 6x - 3y = 6 and 2x + y = 10 2x - 3y = 6 and 2x + y = -6 |
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Answer» Which of the following systems is equivalent to the given system?2/3x - y = 2, x +1/2 y = -3 Solution: |
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| 4283. |
What is the equation of a line, in general form, with a point (-3, 0) and an undefined slope? |
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Answer» What is the equation of a line, in general form, with a point (-3, 0) and an undefined slope? Solution: |
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| 4284. |
The point (6, 5) lies on a circle centered at (3, -2). Find the radius of the circle. |
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Answer» The point (6, 5) lies on a circle centered at (3, -2). Find the radius of the circle. Solution: |
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| 4285. |
Factorise x2- 2x - 8. |
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Answer» The factors of x2- 2x - 8 are(x + 4) and (x - 2) Thefactors of the above equation will be in the form of (x + a) (x - b). |
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| 4286. |
1 Meter is Equal to How Many Feet? |
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Answer» 1 meter is equal to 3.28084 feet. Feet is a unit of length used in Imperial units, or English units, whereas, meter is a unit to measure length in the International System of Units. |
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| 4287. |
The tangent of an angle is 3.4. What is the measure of the angle to the nearest tenth? |
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Answer» The tangent of an angle is 3.4. What is the measure of the angle to the nearest tenth? Solution: |
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| 4288. |
A Chord of length 16 cm is drawn in a circle of radius 10 cm, find the distance of the chord from the center of the circle? |
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Answer» If a chord of length 16 cm is drawn in a circle of radius 10 cm, the distance of the chord from the centre of the circle is 8 cm. We can use the circle theorem along with thePythagoras theorem to solve this problem. |
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| 4289. |
In triangle TRS, TZ = (3x) inches and WZ = (2x – 3) inches. What is WZ? Inches |
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Answer» In triangle TRS, TZ = (3x) inches and WZ = (2x – 3) inches. What is WZ? Inches
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| 4290. |
What is the area under the standard normal distribution curve between z = 1.50 and z = 2.50? |
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Answer» What is the area under the standard normal distribution curve between z = 1.50 and z = 2.50? Solution: |
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| 4291. |
Find the general solution of the given differential equation. x2y’ + x(x + 2)y = ex |
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Answer» Find the general solution of the given differential equation. x2y’ + x(x + 2)y = ex Solution: |
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| 4292. |
What is the remainder when the polynomial 6x2+ 11x - 7 is divided by 2x - 1? |
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Answer» What is the remainder when the polynomial 6x2+ 11x - 7 is divided by 2x - 1? Solution : |
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| 4293. |
Line k has a slope of 2/3. if line m is parallel to line k, then it has a slope of -2/3,-3/2,2/3, 3/2 |
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Answer» Line k has a slope of 2/3. if line m is parallel to line k, then it has a slope of Solution: |
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| 4294. |
Find the equation of the plane which passes through the line of intersection of the planes 2x + 3y - 4z + 5 = 0 and x - 5y + z + 6 = 0 and is parallel to the line x + y - z + 8 = 0 = x - y - z + 2. |
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Answer» Find the equation of the plane which passes through the line of intersection of the planes 2x + 3y - 4z + 5 = 0 and x - 5y + z + 6 = 0 and is parallel to the line x + y - z + 8 = 0 = x - y - z + 2. Solution: |
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| 4295. |
Find the HCF of 95 105 and 115 by continued division. |
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Answer» The HCF of 95, 105, and 115 by continued division is 5. The largest possible number which divides the given numbers exactly without leaving any remainder is called theHCF (Highest Common Factor). |
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| 4296. |
What are the exact solutions of x2 = 4 - 7x? |
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Answer» What are the exact solutions of x2 = 4 - 7x? Solution: |
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| 4297. |
What is the solution of log2x + 3125 = 3? |
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Answer» What is the solution of log2x + 3125 = 3? Solution: |
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| 4298. |
The point (2, -4) is reflected across the line y = -1. What are the coordinates of the image? |
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Answer» The point (2, -4) is reflected across the line y = -1. What are the coordinates of the image? Solution: |
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| 4299. |
If the slope of a straight line is 0 and the y-intercept is -2, what is the equation of the line? |
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Answer» If the slope of a straight line is 0 and the y-intercept is -2, what is the equation of the line? Solution: |
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| 4300. |
Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4 |
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Answer» Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4 Solution: |
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