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.
| 6701. |
Which of the following points are on the graphs of both the equation y=x+2 and the equation y=x2 |
|
Answer» Which of the following points are on the graphs of both the equation y=x+2 and the equation y=x2 Solution: |
|
| 6702. |
The graph of a system of two linear equations has no solution. What is true about the lines? The lines are perpendicular. The lines have the same slope, but different intercepts. The lines have the same intercept, but different slopes. The lines are on top of each other. |
|
Answer» The graph of a system of two linear equations has no solution. What is true about the lines? Solution: |
|
| 6703. |
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a diamond. |
|
Answer» You are dealt one card from a standard 52-card deck. Find the probability of being dealt a diamond. Solution: |
|
| 6704. |
How to convert degrees to radians in terms of pi? |
| Answer» 'Radians = Degrees × π/180' is the formulato convert degrees to radians in terms of pi. | |
| 6705. |
Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 8 / 17 , x in quadrant I |
|
Answer» Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) =8 / 17 , x in quadrant I Solution: |
|
| 6706. |
If polynomials ax3+ 3x2- 3 and 2x3- 5x + a when divided by (x - 4) leave the remainders as R1 and R2 respectively. Find the values of a in 2R1 - R2=0 |
|
Answer» The value of a in 2 R1 - R2= 0 is18 / 127. A polynomialis an algebraic expression that has constants, variables, and coefficients with a point where the value of the polynomial becomes zero as a whole. |
|
| 6707. |
If f(x) = x-1/3, What is the Derivative of the Inverse of f(x)? |
|
Answer» If f(x) = x-1/3, thenthe Derivative of the Inverse of f(x) is−3x-4. We will be using the concept of inverse functionto solve this. |
|
| 6708. |
Find the equation of the line that passes through the point (3, 4) and has the slope of 5. |
|
Answer» y = 5x- 11 is the equation of the required line. We will use the concept of the point-slope form of a straight line to find the equation. |
|
| 6709. |
Why there must be at least two lines on any given plane. |
|
Answer» Why there must be at least two lines on any given plane. Solution: |
|
| 6710. |
What is the inverse of f(x) = x + 2? |
|
Answer» What is the inverse of f(x) = x + 2? Solution: |
|
| 6711. |
Taken parallel to the base, which of the following solids has a cross-section that is not a rectangle? (i) rectangular pyramid (ii) square pyramid (iii) triangular pyramid (iv) rectangular prism |
|
Answer» Taken parallel to the base, which of the following solids has a cross-section that is not a rectangle? (i) rectangular pyramid, (ii) square pyramid, (iii) triangular pyramid, (iv) rectangular prism Solution: |
|
| 6712. |
How much interest is paid on a $52,000 loan if the monthly payments are $450.23 for 30 years? |
|
Answer» How much interest is paid on a $52,000 loan if the monthly payments are $450.23 for 30 years? Solution: |
|
| 6713. |
Graphically, a point is a solution to a system of two inequalities if and only if __________. (i) the point lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality (ii) the point lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality (iii) the point lies in the shaded regions of both the top and bottom inequalities (iv) the point does not lie in the shaded regions of the top or bottom inequalities |
|
Answer» Graphically, a point is a solution to a system of two inequalities if and only if __________. (i) the point lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality (ii) the point lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality (iii) the point lies in the shaded regions of both the top and bottom inequalities (iv) the point does not lie in the shaded regions of the top or bottom inequalities Solution: |
|
| 6714. |
Which is a factor of 6x2y + 8x2- 30y - 40? x - 4, 3y + 4, x2+ 4, 3y - 5 |
|
Answer» Which is a factor of 6x2y + 8x2 - 30y - 40? x - 4, 3y + 4, x2 + 4, 3y - 5 Solution: |
|
| 6715. |
A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 15 cm, a width of 5 cm, and a height of 7 cm, and the pyramid has a height of 13 cm. Find the volume of the composite space figure. |
|
Answer» The volume of the composite space figure is850cm³. We will be adding the volume ofa rectangular prism andthe volume ofa pyramid for finding thevolume of the composite space figure. |
|
| 6716. |
How to Solve Equations with Fractions and Variables in the Denominator? |
|
Answer» To solve equations with fractions and variables in the denominator, multiply both sides of the equation by the term in the denominator An equation is a mathematical statement with an 'equal to'symbol between two algebraic expressions that have equal values. |
|
| 6717. |
A polygon that has all sides the same measure and all angles the same measure is called what? |
|
Answer» A polygon that has all sides the same measure and all angles the same measure is called what? Solution: |
|
| 6718. |
An army officer wishes to arrange 4770 soldiers in the form of a square. After arranging he finds that 9 soldiers are left out. Find the number of soldiers in each row. |
|
Answer» 69 soldiers are therein each row. A square is a closed two-dimensional figure with four sides and four corners. The length of all four sides of a square is equal. |
|
| 6719. |
How do you write 1/8 as a percent? |
|
Answer» 1/8 as apercentage is 12.5%. Let us see how to write 1/8 as its equivalent percentage |
|
| 6720. |
Is 3 is a polynomial of degree 0? |
|
Answer» Yes, 3 is a polynomial of degree 0. The degree of a polynomial is the highest exponential power in the polynomial equation. |
|
| 6721. |
Find the slope of a line passing through the points A(3, 1) and B(5, 3). |
|
Answer» Find the slope of a line passing through the points A(3, 1) and B(5, 3). Solution: |
|
| 6722. |
How to determine if a function is differentiable at a point? |
|
Answer» We can determine if afunction is differentiable at a point or not by looking at its graph. A function is not differentiable if its graph has a vertical line, a sharp edge, or discontinuity. Differentiability is a very important concept of calculus that finds its applications in many fields of engineering and science. We can determine whether a function is differentiable or not and hence predict its nature. |
|
| 6723. |
Is Every Whole Number an Integer? |
|
Answer» Yes, every whole number is an integer. Whole numbers include natural numbers (that begin from 1 onwards), along with 0. |
|
| 6724. |
If c is a zero of even multiplicity for a function f, then the graph of f ______ the x-axis at c. |
|
Answer» If c is a zero of even multiplicity for a function f, then the graph of f ______ the x-axis at c. Solution: |
|
| 6725. |
How do you write 0.375 as a fraction? |
|
Answer» 0.375 as a fraction is 3/8. Fractionscan be used to depict a part of some whole quantity. |
|
| 6726. |
What is 30% as a fraction in the lowest terms? |
|
Answer» 30% can be represented as 3/10 in the lowestform. Afractioncan be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing. All fractions consist ofa numerator and a denominator. |
|
| 6727. |
What is half of 35? |
|
Answer» Half of 35is 35/2 or 17½ as a fraction and 17.5 as a decimal. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
|
| 6728. |
What is 1/4 squared as a fraction? |
|
Answer» 1/4 squared as a fraction is 1/16. A fraction is an equal part of the whole. It is in the form of a/b where a represents the part and b represents the whole. |
|
| 6729. |
Without using technology, describe the end behavior of f(x) = -3x38+ 7x3- 12x + 13. Down on the left, down on the right Down on the left, up on the right Up on the left, down on the right Up on the left, up on the right |
|
Answer» Without using technology, describe the end behavior of f(x) =-3x38+ 7x3-12x + 13. Solution: |
|
| 6730. |
Find the area of one segment formed by a square with sides of 6" inscribed in a circle. |
|
Answer» Find the area of one segment formed by a square with sides of 6" inscribed in a circle. Solution: |
|
| 6731. |
Find the value of sin 37°, sin 53°, tan 37°, tan 53° in terms of the fraction. |
|
Answer» sin 37° = 3/5, sin 53° = 4/5, tan 37° = 3/4, tan 53° = 4/3 We can use complementary relations to find the values. |
|
| 6732. |
To prove that the triangles are similar by the SAS similarity theorem, it needs to be proven that two sides and included anglesin both are congruent? |
|
Answer» To prove that the triangles are similar by the SAS similarity theorem, it needs to be proven that two sides and included anglesin both are congruent? Solution: |
|
| 6733. |
How to find an equation of the plane through the point (4, -4, -5) and parallel to the plane -3x - 4y + 3z = -5? |
|
Answer» How to find an equation of the plane through the point (4, -4, -5) and parallel to the plane -3x - 4y + 3z = -5? Solution: |
|
| 6734. |
What is the HCF and LCM of 510 and 92? |
|
Answer» HCF of 510 and 92 is 2, LCM of 510 and 92 is 23460 HCF (Highest Common Factor) of twonumbers is the largest possible number that divides the two numbers leaving theremainder 0 |
|
| 6735. |
What is a number to the power of 1? |
|
Answer» The number to the power of 1 is the number itself. We will use therule of exponentswhich states that the exponent of a number signifies how many times we can domultiplicationof a given number. |
|
| 6736. |
What is the 1st term when 1 + 6x2 + 5x4 + 3x3 is arranged in descending order? |
|
Answer» What is the 1st term when 1 + 6x2+ 5x4+ 3x3is arranged in descending order? Solution: |
|
| 6737. |
What is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9? |
|
Answer» 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45 The next number in the pattern can be identified by observing the relation between consecutive terms and their sum can be obtained by a formula. |
|
| 6738. |
What is the principalof a loan? |
|
Answer» What is the principalof a loan? Solution: |
|
| 6739. |
What is TheHCF and LCM of 18 and 45? |
|
Answer» LCM of 18 and 45 is 90 andHCF of 18and 45is 9 LCM of 18 and 45 would be the least number which is exactly divisible by both 18 and 45 andHCF (HighestCommon Factor) of 18and 45 is the greatest possible number which divides both 18and 45 exactly. |
|
| 6740. |
If d is HCF of 56 and 72, then find x, y satisfying the equation d = 56x + 72y. Also, show that x and y are not unique. |
|
Answer» If d is HCF of 56 and 72, then x, y satisfying the equation d = 56x + 72y are4, -3 respectively andare not unique. Using Euclid's Division Lemmawe find theHCF of two positive integers. |
|
| 6741. |
What is 10of 90? |
|
Answer» 10 of 90is 900. Multiplication also known as repeated addition, isone of the four basic operations of arithmetic. |
|
| 6742. |
For b > 0, the graph of y = sin bx will have a period of? |
|
Answer» For b > 0, the graph of y = sin bx will have a period of2π/b. We will use the concept of periodicity in order to find the required period. |
|
| 6743. |
If k = (n + 2)(n - 2), where n is an integer greater than 2, what is the value of k? |
|
Answer» If k = (n + 2)(n - 2), where n is an integer greater than 2, what is the value of k? Solution: |
|
| 6744. |
What is the vertex of the absolute value function below? (4, -1) , (1, -4) , (1, 4) ,(4, 1) |
|
Answer» What is the vertex of the absolute value function below?
|
|
| 6745. |
Find cos θ if sin θ = -(5/13) and tan θ > 0. |
|
Answer» Find cos θ if sin θ = -(5/13) and tan θ > 0. Solution: |
|
| 6746. |
What is the LCM and HCF of 120 and 90? |
|
Answer» LCM of 120 and 90 is 360 and the HCF of 120 and 90 is 30 To find the LCM of 120 and 90, we need the least number which is exactly divisible by both 120 and 90 without leaving any remainder. |
|
| 6747. |
The two triangles are similar. What is the value of x? |
|
Answer» The two triangles are similar. What is the value of x?
|
|
| 6748. |
What is 20% of 200? |
|
Answer» 20% of 200 is 40. A percentis a ratio of a number expressed out of100. |
|
| 6749. |
What is 2/3 in decimal form? |
|
Answer» The decimal form of 2/3 is 0.666 A fraction can be a portionor section of any quantity out of a whole. |
|
| 6750. |
What is the value of the following expression: 9 × 2 - 8 > 5 + 2 / 2? False,10,True,6 |
|
Answer» What is the value of the following expression: 9×2 - 8 > 5 + 2 / 2? Solution: |
|
