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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.
| 5401. |
What are Real-life Examples of Inverse Proportion? |
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Answer» In inverse proportion, if one quantity increases, then the other quantity decreases and vice versa. Let's solve this step by step. |
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| 5402. |
If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°? |
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Answer» If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°? Solution: |
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| 5403. |
What is the answer to 3 more than the product of 7 and a number x is less than 26 |
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Answer» What is the answer to 3 more than the product of 7 and a number x is less than 26 Solution: |
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| 5404. |
Find the function h(x) = f(x) - g(x) if f(x) = 3x and g(x) = 32x - 3x. |
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Answer» Find the function h(x) = f(x) - g(x) if f(x) = 3x and g(x) = 32x - 3x. Solution: |
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| 5405. |
Find the general solution of the given differential equation. x (dy/dx) + 4y = x3 - x |
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Answer» Find the general solution of the given differential equation. x (dy/dx) + 4y = x3- x Solution: |
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| 5406. |
Write the natural numbers from 102 to 113. What fraction of them are prime numbers? |
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Answer» Write the natural numbers from 102 to 113. What fraction of them are prime numbers? Solution: |
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| 5407. |
If (-3, y) lies on the graph of y = (1/2)x, then what is y? |
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Answer» If (-3, y) lies on the graph of y = (1/2)x, then what is y? Solution: |
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| 5408. |
Determine the equation of the tangent line to the given path at the specified value of t. (sin 3t, cos3t, 2t5/2); t = 1. |
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Answer» Determine the equation of the tangent line to the given path at the specified value of t. (sin 3t, cos3t, 2t5/2); t = 1. Solution: |
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| 5409. |
What is the sum of the polynomials? (m + n + 3) + (m + n + 4)? |
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Answer» What is the sum of the polynomials? (m + n + 3) + (m + n + 4)? Solution: |
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| 5410. |
Find dy/dx. x = t/6 + t , y = 6 + t |
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Answer» Find dy/dx. x = t/6 + t , y = 6 + t Solution: |
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| 5411. |
What is the solution of the system of equations? y = 4x + 4 and y = -3x - 3 |
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Answer» What is the solution of the system of equations? y = 4x + 4 and y = -3x - 3 Solution: |
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| 5412. |
Evaluate 32 + (5 - 2).4 - 6 over 3. |
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Answer» Evaluate 32 + (5 - 2).4 - 6 over 3. Solution: |
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| 5413. |
What is the arc length when θ = 2 pi over 5 and the radius is 6 cm? |
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Answer» What is the arc length when θ = 2 pi over 5 and the radius is 6 cm? Solution: |
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| 5414. |
What is 3 to the power of 8? |
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Answer» 3 to the power of 8is 6561. We will solve the above questionby using the multiplicationrule of exponentswhich represents how many times to use the number in a multiplication. |
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| 5415. |
Line AB contains points A (-6, 3) and B (2, -5). Line AB has a slope that is Zero, undefined, positive, negative |
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Answer» Line AB contains points A (-6, 3) and B (2, -5). Line AB has a slope that is Solution: |
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| 5416. |
If f(x) = x² - 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0? -4, -2, 2, 4 |
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Answer» If f(x) = x² - 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0? Solution: |
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| 5417. |
How many solutions does the equation 3x + 6 = -1 - 3 + 4x have? |
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Answer» How many solutions does the equation 3x + 6 = -1 - 3 + 4x have? Solution: |
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| 5418. |
The polynomial 8x² - 8x + 2 - 5 + x is simplified to 8x² - gx - h. What are the values of g and h? |
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Answer» The polynomial 8x² - 8x + 2 - 5 + x is simplified to 8x² - gx - h. What are the values of g and h? Solution: |
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| 5419. |
What is the slope of a line that is perpendicular to a line whose equation is 3y = -4x + 2? |
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Answer» What is the slope of a line that is perpendicular to a line whose equation is 3y = -4x + 2? Solution: |
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| 5420. |
If f(x) = 16x - 30 and g(x) = 14x - 6, for which value of x does (f - g)(x) = 0? -18, -12, 12, 18 |
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Answer» If f(x) = 16x - 30 and g(x) = 14x - 6, for which value of x does (f - g)(x) = 0? - 18, - 12, 12, 18 Solution: |
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| 5421. |
What is the probability of getting zero heads in five tosses? |
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Answer» What is the probability of getting zero heads in five tosses? Solution: |
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| 5422. |
How do you use part I of the Fundamental Theorem of Calculus to find the derivative of: f(x) = ∫(((1/3)t2) - 1)7dt from x to 3? |
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Answer» How do you use part I of the Fundamental Theorem of Calculus to find the derivative of: f(x) = ∫(((1/3)t2) - 1)7dt from x to 3? Solution: |
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| 5423. |
What is multiplicity in a polynomial? |
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Answer» The number of times a given factor appears in the factored form of the equation is known as the multiplicity of the polynomial. A polynomial is an expression of more than two algebraic terms, which contains theexponential powers of a single variable. |
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| 5424. |
What is the boiling point of water in Celsius and Fahrenheit? |
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Answer» The Boiling point of water is 100 degreesCelsius and 212 degrees Fahrenheit. The boiling point of a substance is the temperature at which it starts boiling, i.e, changing its state from liquid to gas. It is measured in the units by which temperature is measured, i.e, Celsius and Fahrenheit. |
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| 5425. |
How to express 6to the power of 4? |
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Answer» 6to the power of 4can be expressed as 64= 6× 6× 6× 6= 1296 Power orexponentsaredefined as the total number of times we use the number ina multiplication.For example, 9to the power of 3means 9is multiplied 3times. |
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| 5426. |
Which solution to the equation 1/(x - 1) = (x - 2) / (2x² - 2) is extraneous x = 1 and x = -4 Neither x = 1 or x = -4 x = 1 x = -4 |
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Answer» Which solution to the equation 1/(x - 1) = (x - 2) / (2x² - 2) is extraneous x = 1 and x = - 4, neither x = 1 or x = - 4,x = 1,x = - 4 Solution: |
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| 5427. |
How to express 9to the power of 3? |
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Answer» 9to the power of 3can be expressed as 93= 9× 9× 9 = 729. Power orexponentsaredefined as the total number of times we use the number ina multiplication.For example, 4to the power of 3 means 4is multiplied 3 times. |
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| 5428. |
What is the solution of (4x - 16)1/2 = 36? x = 5 x = 13 x = 20 x = 328 |
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Answer» What is the solution of (4x - 16)1/2= 36? Solution: |
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| 5429. |
For what values of r does the function y = erx satisfy the differential equation 5y'' + 14y' - 3y = 0? |
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Answer» For what values of r does the function y = erx satisfy the differential equation 5y'' + 14y' - 3y = 0? Solution: |
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| 5430. |
Which sum or difference identity would you use to verify that sin (90° + q) = cos q? cos (a - b) = cos a cos b + sin a sin b sin (a + b) = sin a cos b + cos a sin b sin (a - b) = sin a cos b - cos a sin b cos (a + b) = cos a cos b - sin a sin b |
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Answer» Which sum or difference identity would you use to verify that sin (90° + q) = cos q? Solution: |
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| 5431. |
What is 0.4 as a Fraction? |
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Answer» 0.4 can be written ina fraction as 4/10 or 2/5. A fraction is when a quantity is represented as a part of the whole. |
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| 5432. |
Find the linearization l(x) of the function at a. f(x) = sin(x), a = π/3 |
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Answer» Find the linearization l(x) of the function at a. f(x) = sin(x), a = π/3 Solution: |
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| 5433. |
If you earned $10 per hour and worked 40 hours a week, your gross pay would be _____. |
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Answer» If you earned $10 per hour and worked 40 hours a week, your gross pay would be _____. Solution: |
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| 5434. |
A solid has 14 faces and 12 vertices. How many edges does the solid have? |
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Answer» If a solid has 14 faces and 12 vertices, then the number of edges is equal to 24. We will use the concept of Euler's formula in order to find the number of edges. |
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| 5435. |
What is 5PM in military time? |
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Answer» 5 PM in military time is 17:00 hours. Military time is a method of measuring the time based on the full 24 hours of the day. |
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| 5436. |
Solve the differential equation cosec y dx + sec 2x dy = 0 by separation of variables. |
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Answer» Solve the differential equation cosec y dx + sec 2x dy = 0 by separation of variables. Solution: |
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| 5437. |
What is the value of x when -3x + 7x = -12? |
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Answer» What is the value of x when -3x + 7x = -12? Solution: |
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| 5438. |
Write an expression for the nth term of the sequence,15, 12, 9, 6, … |
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Answer» Write an expression for the nth term of the sequence,15, 12, 9, 6, … Solution: |
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| 5439. |
If the radius of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°? |
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Answer» If the radius of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°? Solution: |
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| 5440. |
The difference between two rational numbers must be a rational number. Is this statement true? |
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Answer» It is true that the difference between two rational numbers must be a rational number. A rational numberis a number that can be written in the form a/bwherea is an integer and b is a non-zero integer. |
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| 5441. |
Given a polynomial f(x), if (x + 7) is a factor, what else must be true? |
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Answer» If(x + 7) is a factor of f(x), then f(-7) = 0must also be true. The polynomials are the functions that consist of one or more variables. There are various types of polynomials like quadratic, cubic, etc. |
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| 5442. |
Find the product of z1 and z2, where z1 = 8(cos40°+ i sin40°) and z2 = 4(cos135° + i sin135°). |
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Answer» Find the product of z1 and z2, where z1 = 8(cos40°+ i sin40°) and z2 = 4(cos135°+ i sin135°). Solution: |
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| 5443. |
How do you convert 3 meters to centimetres? |
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Answer» 3 meters when converted to centimetresis equal to 300 centimetres. Centimetresandmeters are used to measure length. |
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| 5444. |
What is the equation of the line that passes through the points (-2, 2) and (0, 5)? |
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Answer» What is the equation of the line that passes through the points (-2, 2) and (0, 5)? Solution: |
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| 5445. |
Find g[f(4)] if f(x) = 5x and g(x) = 3x - 7. |
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Answer» Find g[f(4)] if f(x) = 5x and g(x) = 3x - 7. Solution: |
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| 5446. |
If the slope of a line is 1/3, what is the slope of a line perpendicular to this line? |
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Answer» If the slope of a line is 1/3, what is the slope of a line perpendicular to this line? Solution: |
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| 5447. |
Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .? n + 1 2n 2n - 1 |
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Answer» Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .? n + 1 2n 2n - 1 Solution: |
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| 5448. |
Given the function f(x) = 6 (x + 2) - 3, solve for the inverse function when x = 21. |
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Answer» Given the function f(x) = 6 (x + 2) - 3, solve for the inverse function when x = 21. Solution: |
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| 5449. |
What is the equation of a circle whose center is at the origin and whose radius is 16? |
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Answer» What is the equation of a circle whose center is at the origin and whose radius is 16? Solution: |
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| 5450. |
Khalid wrote the sequence below. x - 1, -2x + 2, 4x - 4, -8x + 8. Which formula can be used to find the 10th term of the sequence? a10 = (x - 1)*(-2)10-1 a10 = (x - 1)10-1 a10 = (x - 1)*(2)10-1 a10 = (x - 1)*(-2)10 |
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Answer» Khalid wrote the sequence below. x - 1, -2x + 2, 4x - 4, -8x + 8. Which formula can be used to find the 10th term of the sequence? Solution: |
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