Saved Bookmarks
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.
| 4951. |
How much is 10 to the power of 23? |
|
Answer» 10 to the power of 23 is 100,000,000,000,000,000,000,000 or equals 1 followed by 23 zeros. We will solve the questionby using the multiplication rule of exponents and power. |
|
| 4952. |
If one of the factors of x2+ x - 20 is (x + 5), then the other factor is? |
|
Answer» If one of the factors of x2+ x - 20 is (x + 5), then the other factor is? Solution: |
|
| 4953. |
The square of 9 less than a number is 3 less than the number. What is the number? |
|
Answer» The square of 9 less than a number is 3 less than the number. What is the number? Solution: |
|
| 4954. |
How many solutions does the following equation have? |4x + 12| = 0 |
|
Answer» How many solutions does the following equation have? |4x + 12| = 0 Solution: |
|
| 4955. |
4 out of 5 is what percent? |
|
Answer» 4 out of 5 can be written as 4/5 and is equalto 80%. Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%". |
|
| 4956. |
What is the solution of log3x - 2125 = 3? |
|
Answer» What is the solution of log3x - 2125 = 3? Solution: |
|
| 4957. |
Use the laplace transform to solve the given initial-value problem. y'+ 3y = e5t, y(0) = 2 |
|
Answer» Use the laplace transform to solve the given initial-value problem. y' + 3y = e5t, y(0) = 2 Solution: |
|
| 4958. |
Prove that tan 75° + cot 75° = 4 |
|
Answer» tan 75° + cot 75° = 4 We will make use of trigonometric formuals and trigonometrictable to prove the same. |
|
| 4959. |
Prove that: tan 3x tan 2x tan x = tan 3x − tan 2x − tan x |
|
Answer» We can prove tan 3x tan 2x tan x = tan 3x − tan 2x − tan x using trigonometric formulae To Prove this we will use trigonometric formulae of tan (A + B) = (tan A + tan B) / 1 - tan A tan B. |
|
| 4960. |
Find the remainder when x3 + 1 divided by (x + 1) |
|
Answer» Find the remainder when x3+ 1 divided by (x + 1) Solution: |
|
| 4961. |
How do you find the perimeter of a right triangle? |
|
Answer» Perimeter of a right triangle isa + b + \(\sqrt{a^2 + b^2}\) The perimeter of a right trianglemeans the sum of its boundary of all three sides |
|
| 4962. |
A square field has an area of 479 ft2.What is the approximate length of a side of the field? |
|
Answer» A square field has an area of 479 ft2.What is the approximate length of a side of the field? Solution: |
|
| 4963. |
Which is the factorization of 8x2 + 13x - 6? (8x - 3)(x + 2) (x - 6)(8x + 1) (2x - 2)(4x + 3) (4x - 1)(2x + 6) |
|
Answer» Which is the factorization of 8x2 + 13x - 6? Solution: |
|
| 4964. |
What is the solution of log2x - 6 256 = 4? |
|
Answer» What is the solution of log2x - 6256 = 4? Solution: |
|
| 4965. |
How to integrate sin2x? |
|
Answer» Theintegral ofsin2x isx/2 - (sin2x)/4 + c . Integration is an inverse process of differentiation. Let's use the concept of integration to solve the problem. |
|
| 4966. |
If f(x) = 2x2+ 3x and g(x) = x - 2, what is (f + g)(2)? |
|
Answer» If f(x) = 2x2+ 3x and g(x) = x - 2, what is (f + g)(2)? Solution: |
|
| 4967. |
Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 4)? |
|
Answer» Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 4)? Solution: |
|
| 4968. |
Use the function f(x) = 2x3- 3x2+ 7 to find f (−1), f (1) and f (2). |
|
Answer» The values of f (-1) is 2, f (1) is 6 and f (2) is 11 for the functionf (x) =2x3- 3x2+ 7 The relationship between an independent variable and a dependent variable is defined by an expression, rule of law called a function. A function is often denoted as f(x). |
|
| 4969. |
Write the equation of the circle with center (3, 2) and (-6, -4) a point on the circle. |
|
Answer» Write the equation of the circle with center (3, 2) and (-6, -4) a point on the circle. Solution: |
|
| 4970. |
What is the HCF of 2 prime numbers? |
|
Answer» HCF of 2 prime numbers isalways 1. The highest common factor (HCF) of two numbers a and b is the highest possible number that divides the numbers a and b exactly, leaving the remainder 0. |
|
| 4971. |
What is the end behavior of the function f(x) = 3x4- x3+ 2x2+ 4x + 5? |
|
Answer» What is the end behavior of the function f(x) = 3x4- x3+ 2x2+ 4x + 5? Solution: |
|
| 4972. |
Find the area of the shaded region given in figure. |
|
Answer» The area of the given shaded region is 28 square centimeters.
|
|
| 4973. |
Express x and y in terms of trigonometric ratios, express your answer in terms of theta only. |
|
Answer» Express x and y in terms of trigonometric ratios, express your answer in terms of theta only.
|
|
| 4974. |
How to find the missing sides of a right-angled triangle? |
|
Answer» For calculating any of the missing sides of the triangle, we make use of the Pythagoras theorem and find the missing side. A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. |
|
| 4975. |
3 bananas are to be selected from a group of 9. In how many ways can this be done? |
|
Answer» 3 bananas are to be selected from a group of 9. In how many ways can this be done? Solution: |
|
| 4976. |
How many solutions will this system of equations have? y = −3.5x − 3.5 y = −3.5x + 3.5? |
|
Answer» The system of equationsy = −3.5x − 3.5 and y = −3.5x + 3.5 will have no solutions. Linear equations are equations that have a degree equal to one. They have many applications in various fields. |
|
| 4977. |
Write the solution set of the equation x2 + x - 2 = 0 in roster form. |
| Answer» Write the solution set of the equation x2 + x - 2 = 0 in roster form. | |
| 4978. |
Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2). |
|
Answer» Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2). Solution: |
|
| 4979. |
What is the slope of a trend line that passes through the points (5, 80) and (7, 65)? |
|
Answer» What is the slope of a trend line that passes through the points (5, 80) and (7, 65)? Solution: |
|
| 4980. |
What is the equation for the area of a trapezoid? |
|
Answer» The area of a trapezoid is A = (1/2) × (a + b) × h The area of the trapezoid is calculated by measuring the average of the parallel sides and multiplying it with its height. |
|
| 4981. |
How do you calculate (1 + i)/(1 - i)? |
|
Answer» (1+ i)/(1 − i) = i We’ll calculate (1 + i)/(1-i) by using i2= -1 |
|
| 4982. |
Two complementary angles have measures in the ratio of 1 to 5. Find the measure of each angle. |
|
Answer» Two complementary angles have measures in the ratio of 1 to 5. Find the measure of each angle. Solution: |
|
| 4983. |
Find all solutions in the interval [0, 2π). 2 sin2x = sin x |
|
Answer» Find all solutions in the interval [0, 2π). 2 sin2x = sin x Solution: |
|
| 4984. |
What is the equation in point-slope form of the line passing through (3, 6) and (-2, 1)? y + 6 = 1(x + 3) y + 1 = -1(x + 2) y - 6 = -1(x + 3) y - 6 = 1(x - 3) |
|
Answer» What is the equation in point-slope form of the line passing through (3, 6) and (-2, 1)? Solution: |
|
| 4985. |
Solve the Given Initial-Value Problem. (x + y)2dx + (2xy + x2− 2) dy = 0, y(1) = 1 |
|
Answer» The soultion ofInitial-Value Problem (x + y)2dx + (2xy + x2− 2) dy = 0 is [(x + y)3] / 3- 2y - y3/3= C We will be using the concept of ordinary differential equations to answer this. |
|
| 4986. |
What is the LCM of 102, 119 and 153? |
|
Answer» LCM of 102, 119 and 153 is 2142 To find the LCM of 102, 119 and 153, means to findthe least number which is exactly divisible by102, 119 and 153. |
|
| 4987. |
A cylinder has a height of 5.3 cm and a diameter of 3.0 cm. What is its volume? |
|
Answer» A cylinder has a height of 5.3 cm and a diameter of 3.0 cm. What is its volume? Solution: |
|
| 4988. |
Three of four numbers have a sum of 22 of the average of the four numbers is 8, what is the fourth number? |
|
Answer» Three of four numbers have a sum of 22 of the average of the four numbers is 8, what is the fourth number? Solution: |
|
| 4989. |
Using the quadratic formula to solve 2x2= 4x – 7, what are the values of x? |
|
Answer» x = (2 ±√10i)/2 are the solutions of the quadratic equation 2x2 = 4x - 7 The quadratic formula is the easiestway of solving quadratic equations especially when the splitting of the middle term is not feasible. |
|
| 4990. |
What is ⅓as a decimal? |
|
Answer» ⅓in decimal form is 0.3. Adecimalcan bedefinedas a number whose whole number part and the fractional part is separated by apoint |
|
| 4991. |
A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, how many days will B take to finish the work? |
|
Answer» A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, then B takes 12 daysto finish the work. We will use the concept of work done to solve this question. |
|
| 4992. |
What is the Equation of the Line that Passes through (4, 2) and is Parallel to 3x – 2y = –6? |
|
Answer» The Equation of the Line that Passes through (4, 2) and is Parallel to 3x – 2y = –6 is3x – 2y = 8. We will be using the concept of the Point-Slope Form of a lineto solve this. |
|
| 4993. |
If sin(a) = 23. What is the value of cos(b) if a + b = 90 degrees? |
|
Answer» If sin(a) = 23, then cos(b) is also23. Complementary angles are those angles that add up to 90 degrees. The two non-right angles in a right triangle are complementary to each other. |
|
| 4994. |
Find all the second-order partial derivatives of the following function: f(x, y) = x2y3 |
|
Answer» The second-order partial derivatives are∂2f / ∂x2=2y3,∂2f / ∂y2= 6x2y,∂2f / ∂x∂y=6xy2and∂2f / ∂y∂x = 6xy2. We will find the second-order partial derivatives of the function f. |
|
| 4995. |
What is 2/10 as a decimal? |
|
Answer» 2/10 as a decimal is equal to 0.2 Adecimalnumbercan bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
|
| 4996. |
Find the value of the expression 3m2 + 2p2-15 when m = 3 and p = 10. |
|
Answer» Find the value of the expression 3m2+ 2p2-15 when m = 3 and p = 10. Solution: |
|
| 4997. |
Given (x - 7)2 = 36, select the values of x. |
|
Answer» Given (x - 7)2= 36, select the values of x. Solution: |
|
| 4998. |
What are the zeroes of f(x) = x2 − 2x − 3? x = −3, 1 x = −3, −1 x = 3, 1 x = 3, −1 |
|
Answer» x = 3, -1are zeroes of f(x) = x2 − 2x − 3 The above-given equationis aquadratic equation. |
|
| 4999. |
If cosθ = square root 2 over 2 and 3 pi over 2 < θ < 2π, what are the values of sinθ and tanθ? |
|
Answer» If cosθ = square root 2 over 2 and 3 pi over 2 < θ < 2π, what are the values of sinθ and tanθ? Solution: |
|
| 5000. |
What fraction is equivalent to 1/2? |
|
Answer» The fractions which are equivalent to 1/2 are 2/4, 3/6, 4/8, 6/12etc. To find the equivalent fractions for any given fraction,dividethe numerator and thedenominatorby the same number. |
|
