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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.
| 7451. |
How to find the dimensions of a rectangle given the area? |
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Answer» Solving thetwo equations:Area = L × B and Perimeter = 2 × (L + B),we will get the length and breadth of the rectangle. The area of the rectangle is equal to the product of its length and breadth. |
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| 7452. |
Find the value of x for which l is parallel to m. The diagram is not to scale. |
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Answer» Find the value of x for which l is parallel to m. The diagram is not to scale.
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| 7453. |
The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number. |
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Answer» The other number is80 LCM of the two numbers a and b is the least number which is exactly divisible by both the numbers a and b. |
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| 7454. |
What is the missing term? (10x - 4x2) - (7x + ?) = 3x - 6x2 |
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Answer» What is the missing term? (10x - 4x2) - (7x + ? ) = 3x - 6x2 Solution: |
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| 7455. |
What is the next number: 1, 4, 27, 16, 125, 36, __? |
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Answer» What is the next number: 1, 4, 27, 16, 125, 36, __? Solution: |
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| 7456. |
Which linear function represents the line given by the point-slope equation y + 7 = -2/3(x + 6)? f(x) = -2/3x - 11 f(x) = -2/3x - 1 f(x) = -2/3x + 3 f(x) = -2/3x + 13 |
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Answer» Which linear function represents the line given by the point-slope equation y + 7 = -2/3(x + 6)? f(x) = -2/3x - 11 f(x) = -2/3x - 1 f(x) = -2/3x + 3 f(x) = -2/3x + 13 Solution: |
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| 7457. |
Simplify the given expression below: (7 - 3i).(2 - i) |
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Answer» Simplify the given expression below: (7 - 3i).(2 - i) Solution: |
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| 7458. |
A solid cylinder has a radius of 2 cm and a length of 7 cm. It has a density of 3.1 g/cm 3. What is the mass of the cylinder? |
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Answer» Mass of the cylinderhavinga radius of 2 cm,length of 7 cm anda density of 3.1 g/cm3is 272.8g A Solid cylinderis defined asa three-dimensionalsolid figurewhich consists oftwo circular bases connected with two parallel lines. |
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| 7459. |
Find A ∩ B if A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10, 12}? |
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Answer» Find A ∩ B if A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10, 12}? Solution: |
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| 7460. |
Graphically, the solution to a system of two independent linear equations is usually what? |
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Answer» Graphically, the solution to a system of two independent linear equations is usually the point where the graphs of both the equations are intersecting or in some cases, overlapping. Linear equations are one of the most integral parts of mathematics and are used to solve a lot of problems in various fields. They are represented as straight lines on the cartesian plane. We can solve these equations by various methods; one of them isthe graphical method. Let's have a deeper look into this concept. |
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| 7461. |
How to find the lateral surface area of a hexagonal prism? |
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Answer» The lateral surface area of the hexagonal prism is equal to 6 times the area of arectangular faceof the prism. Lateral surface area is also referred to as the sideways surface area of any solid. |
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| 7462. |
What is the equation of a line that passes through (7, 8) and has a slope of -3? |
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Answer» What is the equation of a line that passes through (7, 8) and has a slope of -3? Solution: |
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| 7463. |
If (3, y) lies on the graph of y = -(2x), then y =? |
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Answer» If (3, y) lies on the graph of y = -(2x), then y =? Solution: |
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| 7464. |
What is 2/6as a decimal? |
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Answer» 2/6as a decimal is0.333... Adecimalnumber has 2 components,thewhole number part and the fractional part which is separated by a decimalpoint. |
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| 7465. |
Ben’s general store is selling yarn for $.04 a foot. How many feet can you buy for $0.52? |
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Answer» Ben’s general store is selling yarn for $.04 a foot. How many feet can you buy for $0.52? Solution: |
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| 7466. |
Find a unit vector that is parallel to the line tangent to the parabola y = x2 at the point (2, 4). |
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Answer» Find a unit vector that is parallel to the line tangent to the parabola y = x2at the point (2, 4). Solution: |
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| 7467. |
The sum of the measures of the exterior angles of an n-gon one at each vertex is |
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Answer» The sum of the measures of the exterior angles of an n-gon one at each vertex is Solution: |
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| 7468. |
Find the slope and the y-intercept of the line which has the equation 2x + 3y = 9. |
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Answer» The slope and the y-intercept of the line which has the equation 2x + 3y = 9 are- 2 / 3 and 3, respectively. The slope-intercept equation of a line is y = mx+c, where m is the slope of the line and c is the y-intercept. |
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| 7469. |
What is 17/5 as a Mixed Number? |
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Answer» 17/5 in the mixed fraction is 3\(\frac{2}{5}\). We can see 17/5 is an improper fraction. This can be represented as a mixed number that will have a whole number as well as a fractional part. |
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| 7470. |
Given the function f(x) = 0.3(4)x, what is the value of f-1(6)? |
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Answer» Given the function f(x) = 0.3(4)x, what is the value of f-1(6)? Solution: |
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| 7471. |
Using a directrix of y = -3 and a focus of (2, 1), what quadratic function is created? |
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Answer» Using a directrix of y = -3 and a focus of (2, 1), what quadratic function is created? Solution: |
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| 7472. |
What is the solution to the system of equations? y = -5x + 3 andy = 1 (0.4, 1),(0.8, 1),(1, 0.4),(1, 0.8) |
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Answer» What is the solution to the system of equations? y =-5x + 3 andy = 1 Solution: |
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| 7473. |
Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units? (x -9)2 + (y + 4)2 = 25 (x + 4)2 + (y -9)2 = 25 (x -9)2 + (y + 4)2 = 100 (x + 4)2 + (y -9)2 = 100 |
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Answer» Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units? (x -9)2 + (y + 4)2 = 25 (x + 4)2 + (y -9)2 = 25 (x -9)2 + (y + 4)2 = 100 (x + 4)2 + (y -9)2 = 100 Solution: |
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| 7474. |
What is 4/7 as a decimal? |
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Answer» 4/7 as a decimal is expressed as 0.571 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 7475. |
What are the solutions to the equation? x2 + 6x = 40 |
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Answer» What are the solutions to the equation? x2+ 6x = 40 Solution: |
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| 7476. |
What is 0.375 as a fraction in simplest form? |
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Answer» 0.375expressed as a fraction in simplest form is equal to 3/ 8. A fractionisa 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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| 7477. |
What is 14% as a fraction in simplest form? |
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Answer» 14% can be represented as 7/50in fraction form. Fractions are numbers that have two parts: a numerator and a denominator. They have many applications and are very useful in calculations. |
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| 7478. |
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the diameter and height of the pillar. |
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Answer» The diameter of the pillar is 14 m and the height of the pillar is 6 m. Let us find the parameters of the cylindrical pillar. |
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| 7479. |
Simplify the expression -3(x + 3)2 - 3 + 3x. What is the simplified expression in standard form? |
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Answer» Simplify the expression -3(x + 3)2 - 3 + 3x. What is the simplified expression in standard form? Solution: |
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| 7480. |
How to express 10 to the power of 9? |
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Answer» 10to the power of 9can be expressed as 109= 10× 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 1,000,000,000. Power in exponents is defined as the total number of times we use the number in amultiplication.For example, 2 to the power 3 means 2 is multiplied 3 times with itself. |
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| 7481. |
What is the solution to the equation 21x + 3 = 14? |
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Answer» What is the solution to the equation 21x + 3= 14? Solution: |
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| 7482. |
What is 12degrees Celsius in Fahrenheit? |
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Answer» 12°Celsiusis equal to 53.6°Fahrenheit. The two different types of units or scales to measuretemperatureare Celsius and Fahrenheit. |
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| 7483. |
Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, … |
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Answer» Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, … Solution: |
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| 7484. |
Find the slope of the line whose equation is px - qy = r + 1. |
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Answer» Find the slope of the line whose equation is px - qy = r + 1. Solution: |
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| 7485. |
What is0.9375 as a fraction? |
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Answer» 0.9375 as a fraction is expressed as 15/16 Fractionsanddecimalsare two ways to represent the same numbers. Adecimalnumber can bedefinedas a number whose whole number part and fractional part is separated by adecimalpoint. A fraction is represented as a numerical value that is defined as a part of a whole. |
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| 7486. |
What is 5/12 as a decimal? |
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Answer» 5/12 as a decimal is0.4167 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 7487. |
What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x + 12? |
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Answer» What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x + 12? Solution: |
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| 7488. |
What is 15 minutes in decimal? |
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Answer» 15 minutes, in the decimal form, is expressed as 0.25 hours. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. |
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| 7489. |
What does it mean when the mean and median are close? |
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Answer» When the mean and median are close, the data set has a symmetrical distribution. The mean and median are the frequently used central tendencies. |
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| 7490. |
Simplify the expression -2(p + 4)2 - 3 + 5p. What is the simplified expression in standard form? |
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Answer» Simplify the expression -2(p + 4)2 - 3 + 5p. What is the simplified expression in standard form? Solution: |
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| 7491. |
Describe Inverse Trigonometric Functions |
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Answer» Inverse trigonometric functions are the inverse ratio of the basic trigonometric ratios which are sin, cos, tan, cot, sec, cosec. Inverse trigonometric functions are the inverse ratio of the basic trigonometric ratios. |
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| 7492. |
How to express 1/3to the power of 2? |
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Answer» 1/3to the power of 2can be expressed as (1/3)2=(1/3) × (1/3) = 1/9 Power in exponents is defined as the total number of times we use the number in amultiplication.For example 2 to the power 3 means 2 is multiplied 3 times with itself. |
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| 7493. |
What is 3/4 in decimal form? |
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Answer» 3/4 is expressed as 0.75 in the decimal form. Fractionsanddecimalsare two ways to represent the same numbers. Adecimalnumber can bedefinedas a number whose whole number part and fractional part is separated by adecimalpoint. A fraction is represented as a numerical value that is defined as a part of a whole. |
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| 7494. |
How to express 2 to the power of 0? |
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Answer» 2to the power of 0can be expressed as 20 = 1. Power in exponents is defined as the total number of times we use the number in amultiplication. For example, 2 to the power 3 means 2 is multiplied 3 times with itself. |
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| 7495. |
What is the vertex of the graph of y = 5(x + 4)2 + 3? |
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Answer» What is the vertex of the graph of y = 5(x + 4)2+ 3? Solution: |
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| 7496. |
What is 5/2 as a decimal? |
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Answer» 5/2 as a decimal is2.5 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 7497. |
How to express 5to the power of 4? |
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Answer» 5to the power of 4can be expressed as 54= 5× 5× 5× 5 = 625 Power in exponents is defined as the total number of times we use the number ina multiplication.For example, 2 to the power 3 means 2 is multiplied 3 times by itself. |
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| 7498. |
What is the polynomial function of lowest degree with lead coefficient 1 and roots i, -2, and 2? |
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Answer» What is the polynomial function of lowest degree with lead coefficient 1 and roots i, -2, and 2? Solution: |
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| 7499. |
tan (θ + φ); cos(θ) = −1/3, θ in Quadrant III, sin(φ) = 1/4, φ in Quadrant II. Evaluate the expression. |
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Answer» tan (θ + φ); cos(θ) = −1/3, θ in Quadrant III, sin(φ) = 1/4, φ in Quadrant II evaluate the expression. Solution: |
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| 7500. |
Find the exact length of the polar curve. r = θ, 0 ≤ θ ≤ π/2 |
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Answer» Find the exact length of the polar curve. r = θ, 0 ≤ θ ≤ π/2 Solution: |
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