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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.
| 5451. |
What is the solution to -2|2.2x - 3.3| = -6.6? x = -3, x = 3, x = -3, x = 0 |
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Answer» What is the solution to -2|2.2x - 3.3| = -6.6? Solution : |
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| 5452. |
My number has 2 hundred. The tens digit is 9 more than the ones digit. Find the number. |
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Answer» Thenumber has 2 hundred. The tens digit is 9 more than the ones digit. The required number is 290. We will use the concept ofnumber system in order to find the required number. |
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| 5453. |
Which are solutions of the equation 4x² - 7x = 3x + 24? Check all that apply. x = - 4, x = - 3, x = - 3/2, x = 2/3, x = 2, x = 4 |
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Answer» Which are solutions of the equation 4x² - 7x = 3x + 24? Check all that apply. x = - 4, x = - 3, x = - 3/2, x = 2/3, x = 2, x = 4 Solution: |
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| 5454. |
What is the measure of angle BCD? m∠BCD =___ degrees |
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Answer» What is the measure of angle BCD? m∠BCD =___ degrees Solution: |
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| 5455. |
What is the next number in the sequence: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,...? |
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Answer» The next number in the sequence: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,... is 11. The next number in the pattern can be identified by observing the relation between consecutive terms. |
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| 5456. |
Which of the following is the equation of a parabola with focus (0, 2) and directrix y = -2? x = y2/8,y = x2/8,y = x2/4,x = y2/4 |
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Answer» Which of the following is the equation of a parabola with focus (0, 2) and directrix y = -2? Solution: |
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| 5457. |
Simplify the given expression below: (-3 + 2i).(2 + i) |
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Answer» Simplify the given expression below: (-3 + 2i).(2 + i) Solution: |
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| 5458. |
The area of this circle is 96π m2. What is the area of a 30° sector of this circle? |
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Answer» The area of this circle is 96π m2. What is the area of a 30° sector of this circle? Solution: |
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| 5459. |
What is the derivative of sin-1(x)? |
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Answer» The derivativeofsin-1x = dy/dx is1/√(1−x2),-1 <x <1 A derivativeis the output resulting from differentiating a function with respect to its variable. |
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| 5460. |
How to find the area of a triangle with3 sides given as a = 4, b = 7, and c = 9. |
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Answer» The area of a triangle witstrong sides is13.41 units A triangle is a closed figure orshapewith 3 sides, 3angles,and 3 vertices. |
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| 5461. |
Which of the following constants can be added to x2 - x to form a perfect square trinomial? 1/2 1/4 1 |
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Answer» Which of the following constants can be added to x2 - x to form a perfect square trinomial? 1/2 1/4 1 Solution: |
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| 5462. |
How many possible values can be created with only 3 bits? |
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Answer» How many possible values can be created with only 3 bits? Solution: |
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| 5463. |
Write the complex number in the form a + bi. Five divided by two(cos 150° + i sin 150°) |
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Answer» Write the complex number in the form a + bi. Five divided by two(cos 150° + i sin 150°) Solution: |
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| 5464. |
2x + 5 = 65. Solve for x |
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Answer» The value of x is 30. The standard form of a linear equation in one variable is of the formax + b = 0 |
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| 5465. |
If a fair 6-sided die is rolled three times, what is the probability that exactly one 3 is rolled? |
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Answer» If a fair 6-sided die is rolled three times, what is the probability that exactly one 3 is rolled? Solution: |
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| 5466. |
Which equations are true for x = -2 and x = 2? Check all that apply. x2 - 4 = 0 x2 = -4 3x2 + 12 = 0 4x2 = 16 2(x - 2)2 = 0 |
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Answer» Which equations are true for x = -2 and x = 2? Check all that apply. Solution: |
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| 5467. |
If you subtract 1/2 from a number and multiply the result by 1/2 , you get 1/8. What is the number? |
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Answer» The number is 3/4. The problem is an application of linear equations in one variable and the addition of fractions. |
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| 5468. |
Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30 commutative - addition distributive associative - multiplication symmetric commutative - multiplication associative - addition identity - addition |
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Answer» Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30 commutative - addition distributive associative - multiplication symmetric commutative - multiplication associative - addition identity - addition Solution: |
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| 5469. |
The probability that an event happens is 0.42. What is the probability that the event won't happen? |
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Answer» The probability that an event happens is 0.42. What is the probability that the event won't happen? Solution: |
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| 5470. |
What number can you add to π to get a rational number? |
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Answer» What number can you add to π to get a rational number? Solution: |
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| 5471. |
3/x -1 + 1/x - 3 = 4/x - 2. Find x. |
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Answer» The solution of3/x-1+1/x-3=4/x-2 is x = 4. The solution is obtained by simplifying the algebraic expression. |
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| 5472. |
How many solutions does this linear system have? y = x + 2 and 6x - 4y = -10 |
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Answer» How many solutions does this linear system have? y = x + 2 and 6x - 4y = -10 Solution: |
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| 5473. |
Which of the following represents the zeros of f(x) = 3x3 - 10x2 - 81x + 28? 7, -4, 1/3 7, -4, -1/3 7, 4, 1/3 7, 4, -1/3 |
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Answer» Which of the following represents the zeros of f(x) = 3x3 - 10x2 - 81x + 28? Solution: |
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| 5474. |
How long is the arc subtended by an angle of 7π/5 radians on a circle of radius 25 cm? |
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Answer» How long is the arc subtended by an angle of 7π/5 radians on a circle of radius 25 cm? Solution: |
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| 5475. |
Solve for x in sin 3x + cos 2x = 0 |
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Answer» Solving for x in sin 3x + cos 2x = 0, we get x = 2nπ -π/2,(2n + 1) π/5+π/10 Sine and cosine are two basic trigonometric functions and are related to each other. We will use trigonometric function identities to prove thatsin 3x + cos 2x = 0. |
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| 5476. |
What is the equation of a line through the points (0, 9) and (3, 0)? |
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Answer» What is the equation of a line through the points (0, 9) and (3, 0)? Solution: |
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| 5477. |
What is the vertex of g(x) = -3x2 + 18x + 2? |
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Answer» What is the vertex of g(x) = -3x2 + 18x + 2? Solution: |
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| 5478. |
Which property of real numbers is shown below? -6(4x + 5) = -24x - 30 |
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Answer» Which property of real numbers is shown below? -6(4x + 5) = -24x - 30 Solution: |
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| 5479. |
What is b in y=mx+b? |
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Answer» b is the y-intercept of the line. Explanation: |
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| 5480. |
What is the sum of the geometric sequence 2, 8, 32, … if there are 8 terms? |
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Answer» What is the sum of the geometric sequence 2, 8, 32, … if there are 8 terms? Solution: |
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| 5481. |
In a scaled drawing, 1/3 of an inch represents 6 feet. How many inches represent 54 feet? |
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Answer» In a scaled drawing, 1/3 of an inch represents 6 feet. How many inches represent 54 feet? Solution: |
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| 5482. |
What does it mean for a polygon to be regular? |
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Answer» For a polygon to be regular, all the sides must be of equal length and all the angles should be of equal measure. A polygon that is equiangular and equilateral is called a regular polygon. |
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| 5483. |
Given the parent function of f(x) = x4, what change will occur when the function is changed to f(-2x)? Graph opens the same way and is narrower Graph opens the same way and is wider Graph opens the opposite way and is narrower Graph opens the opposite way and is wider |
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Answer» Given the parent function of f(x) = x4, what change will occur when the function is changed to f(-2x)? Graph opens the same way and is narrower Graph opens the same way and is wider Graph opens the opposite way and is narrower Graph opens the opposite way and is wider Solution: |
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| 5484. |
What is the sum of the geometric sequence 1, 3, 9, ... if there are 11 terms? |
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Answer» What is the sum of the geometric sequence 1, 3, 9, ... if there are 11 terms? Solution: |
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| 5485. |
Find the exact length of the curvex = 1/3 √y (y − 3), 16 ≤ y ≤ 25. |
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Answer» The exactlength of the curvex = 1/3 √y (y − 3), 16 ≤ y ≤ 25is 64/3. We are going to useusing the formula of the exact length of the curve to solve this. |
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| 5486. |
How do you integrate 1/ x2dx? |
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Answer» Integrating 1/ x2 dx gives us −(1 / x) + C We’ll integrateint 1 / x2dx by using the power rule. |
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| 5487. |
What is the final step in solving the inequality -2(5 - 4x) < 6x - 4? x < - 3, x > - 3, x < 3, x > 3 |
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Answer» What is the final step in solving the inequality -2(5 - 4x) < 6x - 4? x < - 3, x > - 3, x < 3, x > 3 Solution: |
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| 5488. |
How do you convert 4.5 Feet to Inches? |
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Answer» 4.5 feet converted into inches is equal to 54 in. There are 12 inches in a foot. |
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| 5489. |
Is the set of positive integers a group under the operation of addition? |
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Answer» No.The set of positive integers is not a group under the operation of addition. An integer is positive if it is greater than zero. |
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| 5490. |
Write the steps for how to use a number line to multiply a 2-digit number by 20. |
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Answer» Write the steps for how to use a number line to multiply a 2-digit number by 20. Solution: |
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| 5491. |
Verify the identity. sin(x + y) - sin(x - y) = 2 cosx siny |
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Answer» Verify the identity. sin (x + y) - sin (x - y) = 2 cos x sin y Solution: |
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| 5492. |
Approximately what is the mass of the average adult in kilograms? |
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Answer» Approximately, 65 kg isthe mass of the average adult. The mass of a body is defined as the amount of matter present in a body. |
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| 5493. |
What is the 24th term of the arithmetic sequence where a1 = 8 and a9 = 56? |
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Answer» What is the 24th term of the arithmetic sequence where a1 = 8 and a9 = 56? Solution: |
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| 5494. |
Solve the exact differential equation (tan(x) − sin(x) sin(y)) dx + cos(x) cos(y) dy = 0. |
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Answer» Solve the exact differential equation (tan(x) − sin(x) sin(y)) dx + cos(x) cos(y) dy = 0. Solution: |
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| 5495. |
What do you observe in the result obtained? |
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Answer» LCM oftwo numbers, where one is the factor of other, isthe larger number. TheLCM of a number is the smallest number that is the product of two or more numbers. |
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| 5496. |
(a) 5, 20 (b) 6, 18 (c) 12, 48 (d) 9, 45 |
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Answer» LCM oftwo numbers, where one is the factor of other, isthe larger number. TheLCM of a number is the smallest number that is the product of two or more numbers. |
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| 5497. |
Find the LCMof the following numbers in which one number is the factor of the other: |
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Answer» LCM oftwo numbers, where one is the factor of other, isthe larger number. TheLCM of a number is the smallest number that is the product of two or more numbers. |
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| 5498. |
If x - 2 is a factor of x2 - bx + b, where b is a constant. What is the value of b? |
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Answer» If x - 2 is a factor of x2 - bx + b, where b is a constant. What is the value of b? Solution: |
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| 5499. |
Which point is an x-intercept of the quadratic function f(x) = (x - 8)(x + 9)? (0, 8) (0, -8) (9, 0) (-9, 0) |
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Answer» Which point is an x-intercept of the quadratic function f(x) = (x - 8)(x + 9)? Solution: |
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| 5500. |
What is the solution of 3x + 5 = 2x - 7? |
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Answer» What is the solution of 3x + 5 = 2x - 7? Solution: |
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