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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.
| 3501. |
Find the equation of a line passing through the point(2, 3) and parallel to the line 2x - 3y + 8 = 0. |
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Answer» Find the equation of a line passing through the point(2, 3) and parallel to the line 2x -3y + 8 = 0. Solution: |
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| 3502. |
Find an equation for the nth term of the arithmetic sequence. a19 = -92, a20 = 6 |
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Answer» Find an equation for the nth term of the arithmetic sequence. a19 = -92, a20 = 6 Solution: |
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| 3503. |
Consider the two triangles. How can the triangles be proved similar by the SSS similarity theorem? |
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Answer» The two triangles can be proved similar by the SSS similarity theorem if their corresponding sides are proportional. Two triangles are said to be similar if the ratio between their correspondingsides is similar. It is represented by the symbol '∼'. |
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| 3504. |
Which system of equations can be graphed to find the solution(s) to 4x2 = x2 - 7? |
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Answer» Which system of equations can be graphed to find the solution(s) to 4x2 = x2 - 7? Solution: |
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| 3505. |
Which of the following is a fifth root of the given complex number 32 (cos(π/3) + i sin(π/3))? 2(cos(7π/15) + i sin(7π/15)) 2(cos(π/15) + i sin(π/15)) 2(cos(11π/15) + i sin(11π/15)) 32(cos(π/15) +i sin(π/15)) |
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Answer» Which of the following is a fifth root of the given complex number 32 (cos(π/3) + i sin(π/3))? Solution: |
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| 3506. |
What is the end behavior of the graph of the polynomial function f(x) = 2x3 - 26x - 24? |
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Answer» What is the end behavior of the graph of the polynomial function f(x) = 2x3- 26x - 24? Solution: |
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| 3507. |
What is the end behavior of the graph of the polynomial function f(x) = -x5 + 9x4 - 18x3? |
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Answer» What is the end behavior of the graph of the polynomial function f(x) = -x5 + 9x4 - 18x3? Solution: |
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| 3508. |
Examine the following series of numbers: 1, 2, 3, 4, 10. What is the median value? |
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Answer» Examine the following series of numbers: 1, 2, 3, 4, 10. What is the median value? Solution: |
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| 3509. |
If the 6th term of an A.P. is equal to four times its first term and the sum of first six term is 75 ,find the first term and common difference. |
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Answer» If the 6th term of an A.P. is equal to four times its first term and the sum of first six terms is 75 then, the first term is 5 and the common difference is 3. A series of numbers that follow a specific patternis called an Arithmetic Progression. |
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| 3510. |
What is the Solution to the System of Equations?y = x + 3, x = -2 |
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Answer» What is the Solution to the System of Equations? y = x + 3, x = -2 Solution: |
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| 3511. |
Express 0.125 as a fraction in simplest form. |
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Answer» 0.125 as a fraction in simplest form is 1/8 Writing a fraction in its simplest form means that the numerator and the denominator can no longer be divided by the same whole number exactly or evenly. |
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| 3512. |
Solve for x: |x| − 8 = −5 A. x = −13 and x = −3 B. x = 3 and x = −3 C. x = 3 and x = 13 D. No solution |
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Answer» B. x = 3 and x = −3 An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values. |
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| 3513. |
In triangle ABC, a = 8, b = 6, and C = 60°. find the measure of A. |
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Answer» In triangle ABC, a = 8, b = 6, and C = 60°. find the measure of A. Solution: |
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| 3514. |
Square root of 40 as a fraction is expressed as? |
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Answer» Square root of 40 as a fraction is 158/25. A fraction can bea portion or section of any quantity out of a whole, where, the whole can be any number, aspecific value, or a thing. |
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| 3515. |
How to find the equation of a line with one point and undefined slope? |
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Answer» The equation of the line will be parallel to the y-axis and passing through the point. We will use the concept of the equation of straight lines to find the equation of lines. |
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| 3516. |
How do you find the area of a right triangle? |
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Answer» Area of right triangle = 1 / 2× perpendicular× adjacent We will write the formula to find the area of a right-angled triangle. |
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| 3517. |
What is 2 to the 9th power? |
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Answer» The value of 2 raised to 9thpower i.e., 29is 512. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 3518. |
0.16 as a fraction in simplest form is expressed as? |
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Answer» 0.16 as a fractionin its simplest form is 4/25. Writing a fraction in its simplest form means that the numerator and the denominator can no longer be divided by the same whole number exactly or evenly. |
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| 3519. |
Solve the following system. y = (1 / 2)x2 + 2x - 1 and 3x - y = 1 |
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Answer» Solve the following system. y = (1 / 2)x2+ 2x - 1 and 3x - y = 1 Solution: |
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| 3520. |
If cosec A = 2 then obtain the value of cot A + (sin A /1+ cos A) |
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Answer» If cosec A = 2 then obtain the value of cot A + (sin A /1+ cos A) Solution: |
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| 3521. |
0.19 as a fraction in simplest form is expressed as? |
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Answer» 0.19 as a fraction in simplest form is 19/100 Writing a fraction in its simplest form means that the numerator and the denominator can no longer be divided by the same whole number exactly or evenly. |
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| 3522. |
O is the center of the given circle. The measure of angle O is 128°. The diagram is not drawn to scale. Assuming that lines that appear to be tangent are tangent, what is the value of x? |
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Answer» O is the center of the given circle. The measure of angle O is 128°. The diagram is not drawn to scale. Assuming that lines that appear to be tangent are tangent, what is the value of x?
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| 3523. |
Find the slope of the tangent line to the sine function at the origin. Compare this value with the number of complete cycles in the interval [0, 2π]. What can you conclude about the slope of the sine function sin ax at the origin? y = sin 3x |
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Answer» Find the slope of the tangent line to the sine function at the origin. Compare this value with the number of complete cycles in the interval [0, 2π]. What can you conclude about the slope of the sine function sin ax at the origin? y = sin 3x Solution: |
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| 3524. |
Is x + 10 a factor of the function f(x) = x3- 75x + 250? Explain. |
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Answer» Is x + 10 a factor of the function f(x) = x3-75x + 250? Explain. Solution: |
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| 3525. |
-25 ± √(81) |
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Answer» (x - 5)2= 81. Which of the following expressions represents the solutions to the given equation? Solution: |
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| 3526. |
5 ± √(81) |
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Answer» (x - 5)2= 81. Which of the following expressions represents the solutions to the given equation? Solution: |
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| 3527. |
-5 ± √(81) |
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Answer» (x - 5)2= 81. Which of the following expressions represents the solutions to the given equation? Solution: |
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| 3528. |
(x - 5)2 = 81. Which of the following expressions represents the solutions to the given equation? |
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Answer» (x - 5)2= 81. Which of the following expressions represents the solutions to the given equation? Solution: |
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| 3529. |
The range of the function f(k)=k2+2k+1 is {25, 64}. What is the functions domain? |
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Answer» The range of the function f(k)=k2+2k+1 is {25, 64}. What is the functions domain? Solution: |
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| 3530. |
Evaluate s5 for 600 + 300 + 150 + … |
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Answer» Evaluate s5 for 600 + 300 + 150 + … Solution: |
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| 3531. |
Construct a perpendicular line through a point that does not lie on anyline. |
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Answer» Let's look into the construction ofa perpendicular line through a point that does not lie on anyline. A line that makes a 90-degree angle with another line is called a perpendicular to that line. |
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| 3532. |
0.9 as a fraction in simplest form is expressed as? |
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Answer» 0.9 as a fraction in simplest form is 9/10. Writing a fraction in its simplest form means that the numerator and the denominator can no longer be divided by the same whole number exactly or evenly. |
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| 3533. |
The graph below shows two functions: function f of x is a straight line that joins the ordered pairs negative 2.5, 9, and 2.5, negative 1. Function g of x is a curved line that joins the ordered pairs negative 1.4, 6.8, and 2, 0.2 Based on the graph, what are the approximate solutions to the equation -2x + 4 = (0.25)x? |
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Answer» The graph below shows two functions: function f of x is a straight line which joins the ordered pairs negative 2.5, 9 and 2.5, negative 1. Function g of x is a curved line which joins the ordered pairs negative 1.4, 6.8 and 2, 0.2 Based on the graph, what are the approximate solutions to the equation -2x + 4 = (0.25)x?
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| 3534. |
What is the value of a in the equation 3a + b = 54, when b = 9? |
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Answer» What is the value of a in the equation 3a + b = 54, when b = 9? Solution: |
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| 3535. |
Express half of3 / 4as a fraction. |
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Answer» The required fraction will be 3 / 8. A fraction is a ratio of numbers with an upper value denoting numerator, and a lower one denoting denominator. |
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| 3536. |
What is the product of 7√8 × 4√5? Simplify your answer. |
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Answer» What is the product of 7√8 × 4√5? Simplify your answer. Solution: |
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| 3537. |
Which equation can be used to solve for b? tan(30°) = 5/b tan(30°) = b/5 tan(30°) = 10/b tan(30°) = b/10 |
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Answer» Which equation can be used to solve for b?
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| 3538. |
0.27 as a fraction in simplest form is expressed as? |
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Answer» 0.27 as a fraction in simplest form is 27/100. Writing a fraction in its simplest form means that the numerator and the denominator can no longer be divided by the same whole number exactly or evenly. |
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| 3539. |
How many possible combination outcomes consist of two heads when you toss a fair coin four times? |
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Answer» How many possible combination outcomes consist of two heads when you toss a fair coin four times? Solution: |
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| 3540. |
What is the proof of the theorem: [x] + [x + 1/n] + [x + 2/n] + ... + [x + (n - 2)/n] + [x + (n - 2)/n][x + (n - 1)/n] = [nx] |
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Answer» What is the proof of the theorem: [x] + [x + 1/n] + [x + 2/n] + ... + [x + (n - 2)/n] + [x + (n - 2)/n][x + (n - 1)/n] = [nx] Solution: |
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| 3541. |
If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(A ∩ B) =? |
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Answer» If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(A ∩ B) =? Solution: |
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| 3542. |
What does parabola mean in Maths? |
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Answer» Parabola is a locus of all points which are equally spaced from a fixed line and a fixed point. Parabola is obtained by slicing a cone parallel to the edge of the cone. |
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| 3543. |
Subtract (2x³+ 9x − 8) − (4x²− 15x + 7). |
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Answer» (2x³+ 9x − 8) − (4x²− 15x + 7)=2x³-4x²+ 24x - 15 Let's use the concept of adding and subtracting polynomialsto evaluate the result. |
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| 3544. |
Using synthetic division, what is the quotient (3x3+ 4x - 32) ÷ (x - 2)? |
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Answer» Using synthetic division, what is the quotient (3x3+ 4x - 32) ÷ (x - 2)? Solution: |
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| 3545. |
How to write 7/8 - 2/3 as a fraction? |
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Answer» 7/8-2/3can be represented as 5/24as a fraction after subtraction. Fractions are a very important topics in mathematics. They form an integral part of algebra. All the fundamental operations that can be performed over integers can be performed over fractions as well. Now let's solve a problem related to fractions. |
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| 3546. |
How do you find the exact value of cos 36° using the sum and difference, double angle, or half-angle formulas? |
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Answer» The exact value of cos 36° using the sum and difference, double angle, or half-angle formulas is cos 36° = (√5 +1) / 4 Double angle formulas are used to express the trigonometric ratios of double angles (2θ) in terms of trigonometric ratios of single angle (θ) and similarly, half-angle formulas are used to express the trigonometric ratios of half angles ((1/2)θ) in terms of trigonometric ratios of single angle (θ). |
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| 3547. |
Triangle ABC is an isosceles right triangle. What is the measure of a base angle? |
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Answer» Triangle ABC is an isosceles right triangle. What is the measure of a base angle? Solution: |
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| 3548. |
Calculate the first eight terms of the sequence of partial sums correct to four decimal places. 1/n4 + n2. |
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Answer» Calculate the first eight terms of the sequence of partial sums correct to four decimal places. 1/n4 + n2. Solution: |
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| 3549. |
How can we calculate the area of a trapezium? |
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Answer» The area of the trapezium is halfof the productof the sum of parallel sides and the perpendicular distance between them. A trapezium is a 2D quadrilateral with specific properties and formulas for calculating area and perimeter. |
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| 3550. |
How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x? |
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Answer» How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x? Solution: |
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