Saved Bookmarks
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.
| 7401. |
Convert the following Kelvin temperatures to the Celsius and Fahrenheit scales. |
|
Answer» Kelvin temperatures converted to the Celsius and Fahrenheit scales are as follows: Kelvin, Celcius, and Fahrenheit are three different units to measure temperature. Every unit can be converted to another unit with the help of a conversion formula. |
|
| 7402. |
How to express 7to the power of 2? |
|
Answer» 7to the power of 2can be expressed as 72= 7× 7 = 49 Powers orexponentsaredefined as the total number of times we use the number ina multiplication.For example, 3to the power 2means 3is multiplied 2times. |
|
| 7403. |
What is the missing polynomial? _ - (20 - 4x - 5x2) = 20 - 7x2 |
|
Answer» What is the missing polynomial? _ - (20 - 4x - 5x2) = 20 - 7x2 Solution: |
|
| 7404. |
Find the exact value of tan 7π/ 8 by using a half-angle identity. |
|
Answer» The value of tan 7π/ 8 using half angle identity is equal to 1 -√2. Tangent is a basic trigonometricfunction that can be defined as the ratio of opposite (perpendicular) side to the adjacent (base). |
|
| 7405. |
What is the solution set of {x | x < 2} {x | x ≥ 2}? |
|
Answer» What is the solution set of {x | x < 2} {x | x ≥ 2}? Solution: |
|
| 7406. |
Write The Equation In Spherical Coordinates. (A) X2 + Y2 + Z2 - 81 = 0 (B) X2- Y2- Z2- 1 = 0 |
|
Answer» Write The Equation In Spherical Coordinates. (A) X2 + Y2 + Z2 - 81=0 (B) X2- Y2- Z2- 1 = 0 Solution: |
|
| 7407. |
Solve the system of equations 2r + 2s = 50 and 2r - s = 17. |
|
Answer» Solve the system of equations 2r + 2s = 50 and 2r - s = 17. Solution: |
|
| 7408. |
How can x + 4 = 3x + 12 be set up as a system of equations? |
|
Answer» How can x + 4 = 3x + 12 be set up as a system of equations? Solution: |
|
| 7409. |
What does a perpendicular line look like? |
|
Answer» Perpendicular lines in math are two lines where the angle between them is 90°. Two distinct lines which intersect at each other at 90° are called perpendicular lines. |
|
| 7410. |
In which diagram are angles 1 and 2 vertical angles? |
|
Answer» The angles shown in the first figure (a) are vertical angles.
|
|
| 7411. |
How many quarts are in a gallon? |
|
Answer» 4 quarts constitutefor 1 gallon. Quarts and Gallons are units to measure volume and fluid capacity. |
|
| 7412. |
If x varies directly with y and x = 2.5 when y = 10, find x when y = 16. 1.5, 8, 7.5, 4 |
|
Answer» If x varies directly with y and x = 2.5 when y = 10, find x when y = 16. 1.5, 8, 7.5, 4 Solution: |
|
| 7413. |
Consider the functions f(x) = 3x2 and g(x) = -2x - 5. What is the value of f[g(-4)]? |
|
Answer» Consider the functions f(x) = 3x2and g(x) = -2x - 5. What is the value of f[g(-4)]? Solution: |
|
| 7414. |
Find the lateral and total surface area of the following pyramids. (a) Square-based pyramid with base 6cm and slant height 14 cm. (b) Triangular-based pyramid with base 12cm and slant height 20cm. |
|
Answer» Find the lateral and total surface area of the following pyramids. (a) Square-based pyramid with base 6cm and slant height 14 cm. (b) Triangular-based pyramid with base 12cm and slant height 20cm. Solution: |
|
| 7415. |
Let R be the region bounded by the x-axis, the graph of y= √(x + 1), and the line x = 3. Find the area of the region R |
|
Answer» Let R be the region bounded by the x-axis, the graph of y= √(x+1), and the line x = 3. Find the area of the region R Solution: |
|
| 7416. |
What is 7%as a fraction? |
|
Answer» 7%as a fraction is 7/100 Percent means per hundred or for every hundred. We represent it as %. |
|
| 7417. |
If Tom sells 500 sandwiches for $7 and has an average cost of $5, what is his profit? |
|
Answer» If Tom sells 500 sandwiches for $7 and has an average cost of $5, what is his profit? Solution: |
|
| 7418. |
What is the solution for n, n + 1 = 4(n -8)? |
|
Answer» What is the solution for n, n + 1 = 4(n -8)? Solution: |
|
| 7419. |
What is a term in a polynomial? |
|
Answer» A term is a variable alone (or) a constant alone (or) it can be a combination of variables and constants by the operation of multiplication or division. Apolynomialis a type of algebraic expression in which the exponentsof allvariablesshould be awhole number. |
|
| 7420. |
How much is i to the power of 2? |
|
Answer» The value ofi to the power of 2 is -1. In mathematics, theimaginary unit number is used to express complex numbers andIota is an imaginary unit number that is denoted by 'i' and the value of iota is √-1. |
|
| 7421. |
Find the volume of the cylinder in terms of πwhose height is 6 cmand radius is 3 cm. |
|
Answer» The volume of the cylinder is54πcm3. The cylinder is a three-dimensional figure with a curved face and circular base and top. |
|
| 7422. |
Triangle ABC is an isosceles right triangle. What is the measure of one base angle? 30°,45°,60°,90° |
|
Answer» Triangle ABC is an isosceles right triangle. What is the measure of one base angle? Solution: |
|
| 7423. |
Using the completing-the-square method, rewrite f(x) = x2 + 4x - 1 in vertex form. |
|
Answer» Using the completing-the-square method, rewrite f(x) = x2+ 4x - 1 in vertex form. Solution: |
|
| 7424. |
In how many ways can a committee of 4 be chosen from a group of 9 people? |
|
Answer» In how many ways can a committee of 4 be chosen from a group of 9 people? Solution: |
|
| 7425. |
What is equivalent to 1/3? |
|
Answer» The fractions equivalent to 1/3are 2/6, 3/9, 4/12, etc. To find the equivalent fractions for any given fraction,divideor multiply the numerator and thedenominatorby the same number. |
|
| 7426. |
A line has slope 2/3 and y–intercept -2. Which answer is the equation of the line y = -2x + 23 y = 2x + 23 y = (2/3x) + 2 y = (2/3)x - 2 |
|
Answer» A line has slope 2/3 and y–intercept -2. Which answer is the equation of the line? Solution: |
|
| 7427. |
Solve for x: 3(x + 1) = -2(x - 1) + 6. |
|
Answer» Solve for x: 3(x + 1) = -2(x - 1) + 6. Solution: |
|
| 7428. |
What is the measure of an exterior angle of a regular nonagon? |
|
Answer» The measure of an exterior angle of a regular nonagon is 40 degrees. Polygonsare many-sided figures, with sides that are line segments. The most familiarpolygonsare the triangle, the rectangle, and the square. A regularpolygonis one that has equal sides. Similarly, a regular nonagon is a 9-sided polygon with sides and angles equal. Let's find out the measure of an exterior angle of a nonagon. |
|
| 7429. |
If sinθ = 1 over 4 and tanθ > 0, what is the value of cosθ? |
|
Answer» If sinθ = 1 over 4 and tanθ > 0, what is the value of cosθ? Solution: |
|
| 7430. |
How to find the area and perimeter of a rectangle? |
|
Answer» The area of a rectangle = length× breadth, perimeter of a rectangle = 2 ×(length + breadth). A rectangleis a four sided-polygon, which has equal opposite sides and 4 interior right angles. |
|
| 7431. |
Use the Pythagoras theorem to find the lengths of the sides of the right triangle3m, (2m + 8), 5m? |
|
Answer» Using the Pythagoras theorem and the lengths of the sides of the right triangle 3m, (2m + 8), 5m, we get that m = 4 and the side lengths as 12, 16, and 20. Pythagoras theorem is used to establish a relationship among the sides of a right-angled triangle. It has many applications in real life. |
|
| 7432. |
What do the sides of a triangle add up to? |
|
Answer» The sides of a triangle add up to givethe perimeter. A triangle is a closed 2D shape that has 3 angles, 3 vertices, and 3 sides. |
|
| 7433. |
Find the equation of the line that passes through the given point (-4, 3) with slope 1/2. |
|
Answer» Find the equation of the line that passes through the given point (-4, 3) with slope 1/2. Solution: |
|
| 7434. |
Find the surface area of the sphere with the given dimension whose radius r = 4 units. |
|
Answer» Surface area of the sphere with the given dimension whose radius r = 4 unitsis 64 π sq. unit. We will use the formula of the surface area of the sphere to find the area. |
|
| 7435. |
Elaborate the steps to find (d2y / dx2) second order derivative of any function y = f (x) |
|
Answer» The second derivative d2y / dx2of any function, say y = 2x2 + 4 comes out to be 4. The second-order derivative of any function is nothing but the successive derivative of itsfirst derivative function. |
|
| 7436. |
The present value of $10,000 discounted at 5% per year and received at the end of 5 years is |
|
Answer» The present value of $10,000 discounted at 5% per year and received at the end of 5 years is Solution: |
|
| 7437. |
Using the completing the square method, rewrite f(x) = x2 - 6x + 2 in vertex form. |
|
Answer» Using the completing the square method, rewrite f(x) = x2- 6x + 2 in vertex form. Solution: |
|
| 7438. |
Which expression is equivalent to (f + g)(4)? f(4) + g(4), f(x) + g(4), f(4 + g(4)), 4(f(x) + g(x)) |
|
Answer» Which expression is equivalent to (f + g)(4)? f(4) + g(4), f(x) + g(4), f(4 + g(4)), 4(f(x) + g(x)) Solution: |
|
| 7439. |
What is the distance between the points (2, 5) and (5, 7)? |
|
Answer» What is the distance between the points (2, 5) and (5, 7)? Solution: |
|
| 7440. |
Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 2? x2 = -(y - 1) x2 = -4y x2 = -y x2 = -4(y - 1) |
|
Answer» Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 2? Solution: |
|
| 7441. |
The average (arithmetic mean) of the 11 numbers in a list is 14. If the average of 9 of the numbers in the list is 9, what is the average of the other 2 numbers? |
|
Answer» The average of the other two numbers is 36.5. We will use the concept of mean and subtraction to find the average of the other 2 numbers. |
|
| 7442. |
What value of x is in the solution set of 4x - 12 ≤ 16 - 8x? Sign is not given so, arbitrary sign considered: 4x - 12 ≤ 16 - 8x. |
|
Answer» What value of x is in the solution set of 4x - 12 ≤ 16 - 8x? Sign is not given so, arbitrary sign considered: 4x - 12 ≤ 16 - 8x. Solution: |
|
| 7443. |
How many solutions will this system of equations have? x - 2y = 24 and 3x - 6y = 72 No solution Infinite solutions One solution Two solutions |
|
Answer» How many solutions will this system of equations have? x - 2y = 24 and 3x - 6y = 72 Solution: |
|
| 7444. |
A toy is in the form of a cone of radius r cm mounted on a hemisphere of the same radius. The total height of the toy is (r + h) cm. Findthe volume of the toy? |
|
Answer» The volume of the conical toy mounted on a hemisphere of the same radius is1/3πr2[h + 2r]. The volume of the toy will be the sum of the volume of the cone to the volume of the hemisphere. |
|
| 7445. |
What is the measure of the angle? |
|
Answer» The space between the rays or rotation is called the measure of an angle. TheAngles are usually measured indegreesand denoted by°(the degree symbol), which is a measure of circularity or rotation. |
|
| 7446. |
In triangle ABC, angle A = 74°, a = 126, and b = 84. find angle B. |
|
Answer» In triangle ABC, angle A = 74°, a = 126, and b = 84. find angle B. Solution: |
|
| 7447. |
3.0 units, 3.5 units, 4.2 units, 4.9 units |
|
Answer» What is the approximate side length of the square? 3.0 units, 3.5 units, 4.2 units, 4.9 units Solution: |
|
| 7448. |
What is the approximate side length of the square? |
|
Answer» What is the approximate side length of the square? 3.0 units, 3.5 units, 4.2 units, 4.9 units Solution: |
|
| 7449. |
How many significant figures are in the measurement 1.050L? 1,2,3,4 |
|
Answer» How many significant figures are in the measurement 1.050L? Solution: |
|
| 7450. |
What is 26 degrees Celsius in Fahrenheit? |
|
Answer» Temperature at 26degrees Celsius is equal to the temperature at 78.8degreesFahrenheit. CelsiusandFahrenheitare different types of units or scales to measuretemperature. |
|
