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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.
| 2801. |
In which quadrant does the solution of the system fall x + y = 4 and 2x - y = 2 |
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Answer» In which quadrant does the solution of the system fall x + y = 4 and 2x - y = 2 Solution: |
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| 2802. |
Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial? 6, 36, 72,144 |
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Answer» Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial? 6, 36, 72, 144 Solution: |
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| 2803. |
How to find the lateral area of a triangular prism? |
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Answer» Lateral surface area of the triangular prism (LSA) = Perimeter of the base× Height of the Prism The lateral area fora triangular prism is the sum of areas ofits side faces (which are 3 rectangles). |
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| 2804. |
Solve the Given Differential Equation by Variation of Parameters. xy'' − 4y' = x4 |
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Answer» The general solution of differential equationxy'' − 4y' = x4by variation of parameters isy =\(c_1\)+ \(c_2\)x5 -1/25x5+ 1/5 x5lnx. We will be solving this by finding thehomogeneous andcomplementary solutions of the equation. |
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| 2805. |
Write the equation 4x + 2y = 5 in the form y = mx + b. |
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Answer» Write the equation 4x + 2y = 5 in the form y = mx + b. Solution: |
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| 2806. |
A triangle has side lengths of 20 cm, 99 cm, and 108 cm. classify it as acute, obtuse, or right? |
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Answer» A triangle has side lengths of 20 cm, 99 cm, and 108 cm. Classify it as acute, obtuse, or right? Solution: |
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| 2807. |
What is 10ml in Ounces? |
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Answer» 10ml is equal to 1/3 of an ounce (oz)or 0.33814 oz. Milliliter (ml) and Ounce (oz) are two different measuring units used to measure volume or capacity. |
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| 2808. |
The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle? |
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Answer» The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle? Solution: |
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| 2809. |
The town newspaper is published everyday. One copy has 12 pages. Everyday 11,980 copies are printed. How many pages are in all printed everyday? Every month? |
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Answer» If one copy of a newspaper has 12 pages and 11,980 copies are printed everyday, then, 1,43,760 pages are printed in a day and4,312,800 pages in a printed in a month. We use the unitary method to find the value of the other quantity if one quantity is known. |
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| 2810. |
How to multiply 2 digit numbers by 2 digit numbers? |
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Answer» The following steps are used to multiply2 digit numbers by 2 digit numbers. Multiplication is one of the four basic operations in mathematics and it gives the result of the product between two numbers. |
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| 2811. |
What is the missing number? 73 - 17 = 46 + ? |
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Answer» What is the missing number? 73 - 17 = 46 + ? Solution: |
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| 2812. |
What is half of 3/8? |
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Answer» Half of 3/8is 3/16. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 2813. |
What are the x- and y-intercepts of the graph of y = x2+ 7x + 12? |
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Answer» What are the x- and y-intercepts of the graph of y = x2+ 7x + 12? Solution: |
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| 2814. |
How Many Cubic feet is Equal to 1 Unit of Sand? |
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Answer» 1 unit of sand is equal to 100 cubic feet. Cubic feet and a unit of sand are the units to measure the volume of any liquid. |
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| 2815. |
If you're going 80 miles per hour, how long will it take you to go 80 miles? |
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Answer» It will take 1 hour to cover 80 miles at a speed of 80 miles per hour. Miles, hours and miles per hour are the measuring units used to measure distance, time and speed. |
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| 2816. |
Find the linear approximation of the function f(x) = 4 - x at a = 0. |
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Answer» Find the linear approximation of the function f(x) = 4 - x at a = 0. Solution: |
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| 2817. |
The right pentagonal prism has a height of 14 units. The volume of the prism is 840 cubic units. What is the perimeter of the base? |
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Answer» The right pentagonal prism has a height of 14 units. The volume of the prism is 840 cubic units. What is the perimeter of the base? Solution: |
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| 2818. |
For an angle θ with the point (12, -5) on its terminating side, what is the value of cosine? |
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Answer» For an angle θ with the point (12, -5) on its terminating side, what is the value of cosine? Solution: |
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| 2819. |
Find the maximum volume of a rectangular box that is inscribed in a sphere of radius r. |
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Answer» Find the maximum volume of a rectangular box that is inscribed in a sphere of radius r. Solution: |
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| 2820. |
Solve for x in the equation x² + 20x + 100 = 36. x = - 16 or x = - 4, x = - 10, x = - 8, x = 4 or x = 16 |
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Answer» Solve for x in the equation x² + 20x + 100 = 36. x = - 16 or x = - 4, x = - 10, x = - 8, x = 4 or x = 16 Solution: |
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| 2821. |
Find five rational number between 1 and 2 |
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Answer» The five rational numbers between 1 and 2 are; 11/10, 12/10, 13/10, 14/10, 15/10. If a number can be expressed as a fraction where both the numerator and the denominator are integers, then the number is a rational number. |
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| 2822. |
In the given figure, the value of x is? |
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Answer» The value of x in the given figure is125º
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| 2823. |
How do you find unit vectors are orthogonal to both i + j and i + k? |
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Answer» How do you find unit vectors are orthogonal to both i + j and i + k? Solution: |
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| 2824. |
The brown family's dinner bill was 75.89 and they left 10.00 as a tip. What percent was the tip? |
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Answer» The brown family's dinner bill was 75.89 and they left 10.00 as a tip. What percent was the tip? Solution: |
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| 2825. |
If tanh(x) = 5/13 , find the values of the other hyperbolic functions at x. |
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Answer» If tanh(x) = 5/13 , find the values of the other hyperbolic functions at x. Solution: |
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| 2826. |
Find -a2 - 3b3 + c2 + 2b3-c2 if a = 3, b = 2, and c = -3.? |
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Answer» Find -a2- 3b3+ c2 + 2b3-c2if a = 3, b = 2, and c = -3.? Solution: |
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| 2827. |
Write an equation of the line that passes through the given two points |
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Answer» Write an equation of the line that passes through the given two points Solution: |
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| 2828. |
What is the slope of the line tangent to the graph of y = ln(2x) at the point where x = 4 |
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Answer» What is the slope of the line tangent to the graph of y = ln(2x) at the point where x = 4 Solution: |
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| 2829. |
Find the sum of a finite arithmetic sequence from n = 1 to n = 18, using the expression 4n - 10. |
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Answer» Find the sum of a finite arithmetic sequence from n = 1 to n = 18, using the expression 4n - 10. Solution: |
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| 2830. |
Mr. Grocer has 421 dozen eggs valued at $0.59 per dozen. How much are the eggs worth altogether? |
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Answer» Mr. Grocer has 421 dozen eggs valued at $0.59 per dozen. How much are the eggs worth altogether? Solution: |
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| 2831. |
Select the proper order from least to greatest for 2/3 , 7/6 , 1/8 , 9/10 |
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Answer» Select the proper order from least to greatest for 2/3 , 7/6 , 1/8 , 9/10 Solution: |
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| 2832. |
What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)? |
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Answer» What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)? Solution: |
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| 2833. |
The area of the trapezoid is 24 and the bases are 3 and 5. Find the height. |
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Answer» The area of the trapezoid is 24 and the bases are 3 and 5. Find the height. Solution: |
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| 2834. |
What are the odds of rolling two number cubes and getting a sum of seven? |
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Answer» What are the odds of rolling two number cubes and getting a sum of seven? Solution: |
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| 2835. |
If the diagonals of a rhombus are 10 cm and 24 cm find its perimeter. |
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Answer» If the diagonals of a rhombus are 10 cm and 24 cm then the perimeter of the rhombus is 52 cm. A rhombus can be defined as a diamond-shaped quadrilateral that has all four sides equal. |
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| 2836. |
If A and B are independent events show that A' and B are also independent. |
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Answer» If A and B are independent events show that A' and B are also independent. Solution: |
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| 2837. |
Which expression can be used to find the sum of the polynomials? (9 - 3x2) + (-8x2 + 4x + 5) |
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Answer» Which expression can be used to find the sum of the polynomials? (9 - 3x2) + (-8x2 + 4x + 5) Solution: |
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| 2838. |
What is 2/8 as a percentage? |
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Answer» 2/8 as a percentage is expressed as 25%. Percent means a part or a portion out of hundred. It is represented by the symbol %. |
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| 2839. |
Find the linear approximation of the function g(x) = 3√(1 + x) at a = 0. |
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Answer» Find the linear approximation of the function g(x) = 3√(1 + x) at a = 0. Solution: |
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| 2840. |
What is the lowest common multiple of 8 and 14? |
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Answer» The lowest common multiple of 8 and 14 is 56. LCM is also known as the least common multiple which is thesmallest positive number that is a multiple of two or more numbers. |
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| 2841. |
Solve this quadratic equation using the quadratic formula. x2 + 8x - 5 = 0 |
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Answer» Solve this quadratic equation using the quadratic formula. x2+ 8x - 5 = 0 Solution: |
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| 2842. |
Let f(x)= x2-8x+5. Find the values of x for which the slope of the curve y=f(x) is 0. The point(s) at which the slope of the tangent line is 0. |
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Answer» Let f(x)= x2-8x+5. Find the values of x for which the slope of the curve y=f(x) is 0. The point(s) at which the slope of the tangent line is 0. Solution: |
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| 2843. |
Find the McLaurinseries expansion of f(x) = cos3x. |
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Answer» Find the McLaurinseries expansion of f(x) = cos3x. Solution: |
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| 2844. |
For what values of x does the graph of f(x)=x3+3x2+x+3 have a horizontal tangent? |
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Answer» For what values of x does the graph of f(x)=x3+3x2+x+3 have a horizontal tangent? Solution: |
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| 2845. |
Which of the following sets could be the sides of a right triangle? {2, 3, √10},{3, 5, √34},{5, 8, 12} |
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Answer» Which of the following sets could be the sides of a right triangle? Solution: |
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| 2846. |
Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. 18 + 24 = x 18 squared + 24 = x (18 + 24)2= x2 182+ 242 = x2 |
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Answer» Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. Solution: |
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| 2847. |
Solve the following system of equations: 2x - y + z = - 3, 2x + 2y + 3z = 2, 3x - 3y - z = - 4. |
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Answer» Solve the following system of equations: 2x - y + z = - 3, 2x + 2y + 3z = 2, 3x - 3y - z = - 4. Solution: |
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| 2848. |
What is the value of r of the geometric series? \(\sum_{n=1}^{3}\)(1.3)(0.8)n-1. |
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Answer» What is the value of r of the geometric series? \(\sum_{n=1}^{3}\)(1.3)(0.8)n-1. Solution: |
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| 2849. |
Find the dimensions of a rectangle with an area 1,000m2 whose perimeter is as small as possible. |
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Answer» Find the dimensions of a rectangle with an area 1,000m2whose perimeter is as small as possible. Solution: |
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| 2850. |
What would be the premium for a 48 year old female for a straight life, $220,000 policy? |
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Answer» What would be the premium for a 48 year old female for a straight life, $220,000 policy?
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