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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.
| 4351. |
Write the expression as the sine, cosine, or tangent of an angle. sin57° cos13° - cos57° sin13°. Select one: cos70° cos44° sin44° sin70° |
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Answer» Write the expression as the sine, cosine, or tangent of an angle. sin57° cos13° - cos57° sin13°.Select one: Solution: |
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| 4352. |
What is the m∠ABC? |
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Answer» What is the m∠ABC?
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| 4353. |
How many lines of symmetry does a regular polygon with 22 sides have? |
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Answer» A 22-sided regular polygon has 22 lines of symmetry. Polygons are closed curves that are made of line segments. The polygons whose sides and angles are of equal magnitudes are called regular polygons. |
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| 4354. |
What is the remainder when (2x3+ 4x2- 32x + 18)÷ (x - 3)? |
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Answer» What is the remainder when (2x3+ 4x2- 32x + 18) ÷ (x - 3)? Solution: |
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| 4355. |
x2 + y2 + 8x + 22y + 37 = 0 in standard form? |
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Answer» x2+ y2+ 8x + 22y + 37 = 0 in standard form? Solution: |
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| 4356. |
Find the distance between the points (-3, 11) and (5, 5). |
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Answer» Find the distance between the points (-3, 11) and (5, 5). Solution: |
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| 4357. |
Find all solutions in the interval [0, 2π). 7 tan3x - 21 tan x = 0 |
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Answer» Find all solutions in the interval [0, 2π). 7 tan2x - 21 tan x = 0 Solution: |
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| 4358. |
How do you simplify (1 + tan x) / (1 - tan x)? |
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Answer» Expression(1 + tan x) / (1 - tan x) can be simplified as tan (x + (π / 4)) We can simplify the above expression by usingtangent formulas of trigonometry identities. |
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| 4359. |
What is the perimeter of rhombus wxyz? |
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Answer» What is the perimeter of rhombus wxyz? Solution: |
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| 4360. |
How can you write 7 divided by 9 as a fraction? |
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Answer» 7 divided by 9 as a fraction is written as 7/9. In mathematics, afraction can be writtenin its simplest form whenthe numerator and denominator further can not be divided by the same whole number exactly or properly. Generally, afractionis used to represent the portion of the whole quantity. |
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| 4361. |
Which type of triangle will always have exactly 1-fold reflectional symmetry? |
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Answer» Which type of triangle will always have exactly 1-fold reflectional symmetry? Solution: |
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| 4362. |
What are all the common factors of 15, 45, and 90 |
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Answer» What are all the common factors of 15, 45, and 90 Solution: |
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| 4363. |
How do you know if sin 30° =sin 150°? |
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Answer» The value of sin 30°and sin 150°are equal. Sine is the primary trigonometric function. |
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| 4364. |
Find the product using suitable properties: (a) 738 x 103 (b) 854 x102 (c) 258 x 1008 (d) 1005 x168 |
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Answer» Find the product using suitable properties: Solution: |
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| 4365. |
Give the values of angles for cos function. |
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Answer» cos 0° = 1, cos 30° =√3/2, cos 45° = 1/√2, cos 60° = 1/2, cos 90° = 0, cos 120° =-1, cos 150° =-√3/2, cos 180° = -1, cos 270° = 0, cos 360° = 1 Cosine is one of the most important functions of trigonometrywhich deals with the relationship between the angles and sides of a right-angle triangle. |
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| 4366. |
How can one fifth x - 2 = one third x + 8 be set up as a system of equations? 5y - 5x =10 and3y - 3x = 24 5y - 5x = -10 and3y + 3x = 24 5y + x = -10 and3y + x = 24 5y - x = -10 and3y - x = 24 |
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Answer» How can one fifth x - 2 = one third x + 8 be set up as a system of equations? Solution: |
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| 4367. |
Show that (cosec A - sin A) (sec A - cos A) = 1 / (tan A + cot A). |
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Answer» Hence Proved(cosec A - sin A) (sec A - cos A) = 1 / tan A + cot A. To prove this equation true we will use trigonometric identities. We will start from LHS. |
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| 4368. |
Why do you subtract exponents when dividing powers with the same base? |
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Answer» Why do you subtract exponents when dividing powers with the same base? Solution: |
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| 4369. |
The equation of the line through point (-5, 0) and parallel to the y-axis is |
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Answer» The equation of the line through point (-5, 0) and parallel to the y-axis is Solution: |
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| 4370. |
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42? 2 units,4 units,8 units,16 units |
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Answer» What is the radius of a circle whose equation is (x + 5)2+ (y - 3)2= 42? Solution: |
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| 4371. |
When simplified, the expression is (x1/8)(x3/8) is 12. What is a possible value of x? |
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Answer» When simplified, the expression is (x1/8)(x3/8) is 12. What is a possible value of x? Solution: |
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| 4372. |
What is the multiplicative identity of the complex number -4 + 8i? |
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Answer» What is the multiplicative identity of the complex number -4 + 8i? Solution: |
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| 4373. |
How do you solve the following system?: 4x - 2y =3 , -3x - y = -6 |
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Answer» How do you solve the following system?: 4x - 2y =3 , -3x - y = -6 Solution: |
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| 4374. |
Why does a negative time a negative equal a positive? |
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Answer» Why does a negative time a negative equal a positive? Solution: |
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| 4375. |
Find the Value of x: given 2x×3x+4= 7x. |
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Answer» The value of x in the given equation 2x×3x+4= 7xis28.4835 We will be simplifying the equation and logarithms to solve this. |
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| 4376. |
Identify the solution set for - (x - 3) + 4 < 5 - 2x. (- ∞ , 0 ); (- ∞ , -1 ); (- ∞ , -2 ); (- ∞ , -5 ) |
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Answer» Identify the solution set for - (x - 3) + 4 < 5 - 2x. (- ∞ , 0 ); (- ∞ , -1 ); (- ∞ , -2 ); (- ∞ , -5 ) Solution: |
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| 4377. |
Evaluate the expression 5(7 - 4)2 ÷ 3 + 11. |
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Answer» Evaluate the expression 5(7 - 4)2 ÷ 3 + 11. Solution: |
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| 4378. |
What is 40% of 10? |
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Answer» 40% of 10 is 4. A percentis a ratio of a number expressed out of100. |
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| 4379. |
What is the degree of rotation for a regular 30-sided polygon? |
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Answer» The degree of rotation for a regular 30-sided polygon is 12º. A thirty-sided regular polygon has 30 sides and 30 angles of equal measures respectively. It is called a triacontagon. |
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| 4380. |
Calculate the angle x and angle y value in the given figure. |
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Answer» The value of angle x is 37º and the value of angle y is 70º.
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| 4381. |
How do you find the permutation or combination of 7C4? |
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Answer» How do you find the permutation or combination of 7C4? Solution: |
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| 4382. |
The quotient of (x4 + 5x3-3x -15) divided by a polynomial is (x3-3). What is the polynomial? |
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Answer» The quotient of (x4+ 5x3-3x -15) divided by a polynomial is (x3-3). What is the polynomial? Solution: |
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| 4383. |
Find the surface of the paraboloid y=x2+z2 that lies inside the cylinder x2+z2=9. |
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Answer» Find the surface of the paraboloid y=x2+z2 that lies inside the cylinder x2+z2=9. Solution: |
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| 4384. |
The equation of the graphed line is x + 2y = 5. What is the x-intercept of the graph? |
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Answer» The equation of the graphed line is x + 2y = 5. What is the x-intercept of the graph? Solution: |
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| 4385. |
Derive the equation of the parabola with a focus at (-5, -5) and a directrix of y = 7 |
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Answer» Derive the equation of the parabola with a focus at (-5, -5) and a directrix of y = 7 Solution: |
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| 4386. |
Name the side of a right triangle opposite the right angle. |
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Answer» Hypotenuse isthe side of a right triangle opposite the right angle. We will use the definition of sides of a right triangle. |
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| 4387. |
What is the line containing the points (0, 4) and (3, -2)? |
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Answer» What is the line containing the points (0, 4) and (3, -2)? Solution: |
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| 4388. |
What is the length of a diagonal of a square if its area is 98 square feet? |
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Answer» The length of a diagonal of thesquare with an area of 98 square feet is equal to 14 feet. A diagonal of a square divides it into two congruent right-triangles. |
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| 4389. |
How do you simplify 1 / sin x? |
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Answer» The expression 1 / sin x can be simplified as cosecx. We can use trigonometric ratio to simplify the given expression. |
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| 4390. |
What is 0.6 as aFraction? |
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Answer» Fractional form of .6 is 6/10. Fractions represent equal parts of a whole or an entire collection. |
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| 4391. |
2 is a polynomial of which degree? |
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Answer» 2 is a zero-degree polynomial. Degree of a polynomial is the greatest power of a variable in the polynomial equation. |
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| 4392. |
Which of the following is the solution set of x2 + 8x + 12 = 0? {2, 6},{-2, -6},{2, -6},{-2, 6} |
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Answer» Which of the following is the solution set of x2 + 8x + 12 = 0? Solution: |
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| 4393. |
What is mantissa?Explain with an example. |
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Answer» Mantissais the part of a number located after a decimal point. Decimals are a set of numbers written together with a dot in between them that is called a decimal point. |
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| 4394. |
How do you write 2/7 as a percentage? |
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Answer» 2/7 in terms of percentage is written as 28.57% approximately. A percentageis a number or ratio that represents a fraction of 100. |
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| 4395. |
What does ^ mean in math? |
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Answer» In Mathematics AND is denoted by the symbol ^ Logical conjunctionis an operation on two logical values, typically the values of two propositions, that produces a value oftrueif and only if both of its operands are true |
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| 4396. |
It's 3 pm. How many degrees are in the angle between the hour and minute hand? |
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Answer» It's 3 pm. How many degrees are in the angle between the hour and minute hand? Solution: |
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| 4397. |
Find the value of Q in the following system so that the solution to the system is {(x, y): x - 3y = 4}? x - 3y = 4 andQx - 6y=8 |
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Answer» Find the value of Q in the following system so that the solution to the system is {(x, y): x - 3y = 4} ? x - 3y = 4 and Qx - 6y = 8 Solution: |
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| 4398. |
How to Write a Repeating Decimal as a Fraction? |
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Answer» Repeating or Recurring decimal as fraction can be written by the method discussed below. A decimal number exists in different types, one of them being a recurring decimal. |
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| 4399. |
What is the inverse of the function f(x) = 2x + 1? |
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Answer» The Inverse of the Function f(x) = 2x + 1isf-1(x) = x/2 - 1/2 We will be using the inverse function to solve this. |
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| 4400. |
What is 2/3 + 3/5 as a Fraction? |
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Answer» 2/3 + 3/5 as a fraction is 19/15. A fraction represents parts of the whole. Below we will see how to add two fractions. |
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