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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.
| 2751. |
In a ΔABC, if ∠B = 60° and the ratio of two sides is a : c = 2 : √3 + 1, then ∠A= ____. 45°,40°,35°,55° |
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Answer» In a ΔABC, if ∠B = 60° and the ratio of two sides is a : c = 2 : √3 + 1, then ∠A= ____. Solution: |
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| 2752. |
The graph of function f is shown below. Find one value of x for which f(x) = 4 and find f(-2). |
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Answer» f (x) = 4 occurs when x = 0 andf (-2) = 2
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| 2753. |
What value of x is in the solution set of 3(x - 4) = 5x + 2? |
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Answer» What value of x is in the solution set of 3(x - 4) = 5x + 2? Solution: |
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| 2754. |
If √10 = 3.162 then find the value of 1/√10 |
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Answer» The value1/√10 is 0.3162. The given problem is based on the rationalization of irrational numbers. |
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| 2755. |
At what value of x does the graph of y=(1/x2)-(1/x3) have a point of inflection. |
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Answer» At what value of x does the graph of y=(1/x2)-(1/x3) have a point of inflection. Solution: |
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| 2756. |
8, 6,9,5,10,4,11_____. What is the next number? |
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Answer» 8, 6,9,5,10,4,11______. What is the next number? Solution: |
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| 2757. |
How many milligrams does it take to make a gram? |
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Answer» It takes 1000milligramsto make a gram. Grams and milligrams are different measuring units used to measure the weight ormass of an object. |
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| 2758. |
Which number should come next at the end of this series: 1/12, 1/6, 1/3, 2/3? |
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Answer» Which number should come next at the end of this series: 1/12, 1/6, 1/3, 2/3? Solution: |
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| 2759. |
What is the variance for the following population of scores? scores: 5, 2, 5, 4 |
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Answer» What is the variance for the following population of scores? scores: 5, 2, 5, 4 Solution: |
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| 2760. |
Which number should come next at the end of this series: 1, 4, 9, 16? |
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Answer» Which number should come next at the end of this series: 1, 4, 9, 16? Solution: |
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| 2761. |
What is the circumference of a circle with a diameter of 30 centimeters? |
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Answer» What is the circumference of a circle with a diameter of 30 centimeters? Solution: |
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| 2762. |
An athlete completes one round of a circular track of a diameter of 200 m in 40 s. What will be the distance covered and the displacement at the end of 2 min 20s? |
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Answer» The distance covered by theathlete is 2200 m and the displacement at the end of 2 min 20s is 200 m. Distanceis defined as a complete path traveled by an object. Displacement is defined as the shortest distance between two points. |
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| 2763. |
Say true or false: (a) Two diameters of a circle will necessarily intersect (b) The Centre of a circle is always in its interior. |
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Answer» Both the statements are true A circle is formed by the set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) in the plane. |
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| 2764. |
What is the x-intercept of the line with this equation -2x + 12y = 18? |
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Answer» What is the x-intercept of the line with this equation -2x + 12y = 18? Solution: |
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| 2765. |
What is 10to the firstpower? |
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Answer» The value of 10 raised to the firstpower i.e., 101is 10. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 2766. |
Determine whether y varies directly with x and if so, how do you find the constant of variation k for -5y=5x+10. |
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Answer» How do you determine whether y varies directly with x and if so, how do you find the constant of variation k for -5y=5x+10. Solution: |
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| 2767. |
What is the next number? 2, 7, 8, 3, 12, 9 |
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Answer» What is the next number? 2, 7, 8, 3, 12, 9 Solution: |
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| 2768. |
How to compare an improper fraction and a proper fraction? |
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Answer» An improper fraction is always greater than a proper fraction {If N > D then it is an improper fraction and if D >Nthen it is a proper fraction}. A proper fraction is a fraction whose numerator is smaller than its denominator and an improper fraction is a fraction whose numerator is greater than its denominator. |
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| 2769. |
All the integers are rational numbers. Justify the statement. |
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Answer» All integers are rational numbers as they can be expressed asp/q, where p, q are integers andq≠ 0. A rational number is formed when any two integers, such as p and q,are expressed in the form of p/q, where q≠ 0. |
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| 2770. |
What is 1.25 as a Fraction? |
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Answer» 1.25 as a fraction is expressed as 5/4 Decimals are a set of numbers written together with a dot in between them that is called a decimal point. Fraction is a numerical value that represents a part of a whole. |
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| 2771. |
Anumber is divisible by both 5 and 12. By which other numbers will that number be always divisible? |
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Answer» If a number is divisible by both 5 and 12 it will be divisible by 60. We will use the definition of co-prime numbers to answer this question. Two numbers orintegersare co-prime if their common factor is only 1. |
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| 2772. |
Every rational number is a whole number? True or false, also give a reason for your answer. |
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Answer» Every rational number is not a whole number. A rational numbercan be written in the form of p/q, where p and q can be any integers but 'q' cannot be zero. |
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| 2773. |
What is the expression in factored form? 9x2 - 12x + 4 |
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Answer» What is the expression in factored form? 9x2 - 12x + 4 Solution: |
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| 2774. |
The following set of coordinates represents which figure? (1, 1), (5, 3), (7, 7), (3, 5) |
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Answer» The following set of coordinates represents which figure? (1, 1), (5, 3), (7, 7), (3, 5) Solution: |
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| 2775. |
If 10x + 2 = 7, what is the value of 2x? |
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Answer» If 10x + 2 = 7, what is the value of 2x? Solution: |
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| 2776. |
What is the decimal equivalent of 1/4 inches? |
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Answer» The decimal equivalent of 1/4 inches is 0.25. We can define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint. An inchis a unit of British Imperial and the United States Customary whose measure is also equal to 1/ 36thof a yard, which can also be written as 1 /12th of thefoot. |
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| 2777. |
If 0° < θ < 90°, is sin θ equal to cos (90° - θ), and for what reason? No, because angles measuring θ and 90° -θ are supplements. No, because angles measuring θ and 90° - θ are complements. Yes, because angles measuring θ and 90° - θ are supplements. Yes, because angles measuring θ and 90° - θ are complements. |
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Answer» If 0° < θ < 90°, is sin θ equal to cos (90° - θ), and for what reason? No, because angles measuring θ and 90° -θ are supplements. No, because angles measuring θ and 90° - θ are complements. Yes, because angles measuring θ and 90° - θ are supplements. Yes, because angles measuring θ and 90° - θ are complements. Solution: |
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| 2778. |
Triangle ABC is an obtuse triangle with an obtuse angle at vertex B. Then angle a must be ___. |
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Answer» IfΔABC is an obtuse triangle with an obtuse angle at vertex B, then∠A must be an acute angle. A triangle is a closed figure orshapewith 3 sides, 3angles,and 3 vertices. |
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| 2779. |
What is the equation of the line, in slope-intercept form, that passes through (4, 2) and (-2, -3)? |
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Answer» What is the equation of the line, in slope-intercept form, that passes through (4, 2) and (-2, -3)? Solution: |
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| 2780. |
What is 9/5 as a decimal? |
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Answer» 9/5 as a decimal is1.8. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. |
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| 2781. |
Write the expression as the sine, cosine, or tangent of an angle. cos8x cos2x - sin8x sin2x |
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Answer» Write the expression as the sine, cosine, or tangent of an angle. cos8x cos2x - sin8x sin2x Solution: |
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| 2782. |
If the Interest Rate is 10 Percent, then the Future Value in Two Years of $100 Today is? |
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Answer» If the Interest Rate is 10 Percent, then the Future Value in Two Years of $100 Today is$120. We will be using the concept offuture value simple interestto answer this. |
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| 2783. |
What is the additive inverse of the complex number -12 + 4i? |
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Answer» What is the additive inverse of the complex number -12 + 4i? Solution: |
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| 2784. |
What is the missing term that makes these ratios equivalent? 1.5:3, 31.5:____ |
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Answer» What is the missing term that makes these ratios equivalent? 1.5:3, 31.5:____ Solution: |
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| 2785. |
What is 6 divided by 1/4? |
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Answer» 6 divided by 1/4 is 24. A fraction can be a portionor section of any quantity out of a whole. |
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| 2786. |
What are the solutions of the equation 9x4 - 2x2 - 7 = 0? use u-substitution to solve. |
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Answer» What are the solutions of the equation 9x4- 2x2- 7 = 0? use u-substitution to solve. Solution: |
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| 2787. |
Which of the following quadratic equations has the solution set (1/2, 5)? Select all that apply (x + 1/2)(x - 5) = 0 (x - 5)(2x - 1) = 0 (x + 5)(2x - 1) = 0 (-2x + 1)(-x + 5) = 0 (x + 1/2)(x + 5) = 0 (-2x + 1)(x - 5) = 0 |
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Answer» Which of the following quadratic equations has the solution set (1/2, 5)? Select all that apply Solution: |
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| 2788. |
A circle is represented by the equation below: (x + 8)2 + (y -3)2 = 100. Which statement is true? (i) The circle is centered at (-8, 3) and has a radius of 20. (ii) The circle is centered at (8, -3) and has a diameter of 20. (iii) The circle is centered at (8, -3) and has a radius of 20. (iv)The circle is centered at (-8, 3) and has a diameter of 20. |
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Answer» A circle is represented by the equation below: (x + 8)2 + (y -3)2 = 100. Which statement is true? (i) The circle is centered at (-8, 3) and has a radius of 20. (ii) The circle is centered at (8, -3) and has a diameter of 20. (iii) The circle is centered at (8, -3) and has a radius of 20. (iv)The circle is centered at (-8, 3) and has a diameter of 20. Solution: |
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| 2789. |
Explain binomial series. |
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Answer» It is the sum of infinite series in one variable expressed in terms of generalpositive integers that occur as coefficients in the binomial theorem. Several series are known as binomial series. |
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| 2790. |
If y ≠ 1, is x = 1 ? x2 + y2 = 1,y = 1 -x |
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Answer» If y ≠ 1, is x = 1 ? x2+ y2= 1,y = 1 -x Solution : |
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| 2791. |
Given that sinθ = x4. Which expression represents θ in terms of x? arcsin(x4), sin(x4), arccos(x4), cos(x4) |
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Answer» Given that sinθ = x4. Which expression represents θ in terms of x? Solution: |
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| 2792. |
Find the exact values of the sine, cosine, and tangent of the angle. 7π/12 = π/3 + π/4. |
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Answer» Find the exact values of the sine, cosine, and tangent of the angle. 7π/12 = π/3 + π/4. Solution: |
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| 2793. |
If the tangent line to y = f(x) at (5, 4) passes through the point (0, 3). Find f(5) and f'(5). |
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Answer» If the tangent line to y = f(x) at (5, 4) passes through the point (0, 3). Find f(5) and f'(5). Given curve y = f(x) passes through (5, 4) |
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| 2794. |
What is the common ratio between successive terms in the sequence? 2, -4, 8, -16, 32, -64, … |
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Answer» What is the common ratio between successive terms in the sequence? 2, -4, 8, -16, 32, -64,… Solution: |
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| 2795. |
Which shows one way to determine the factors of x3 + 5x2 - 6x - 30 by grouping? x(x2 - 5) + 6(x2 - 5) x(x2 + 5) - 6(x2 + 5) x2(x - 5) + 6(x - 5) x2(x + 5) - 6(x + 5) |
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Answer» Which shows one way to determine the factors of x3 + 5x2 - 6x - 30 by grouping? Solution: |
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| 2796. |
If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? |
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Answer» If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? Solution: |
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| 2797. |
Which of the following is the correct graph of the solution to the inequality -13 > -5x + 2 > -28? number line with open dots at 3 and 6 and shading in between number line with a closed dot at 6 with shading to the right and another closed dot at 3 with shading to the left number line with an open dot at 6 with shading to the right and another open dot at 3 with shading to the left number line with closed dots at 3 and 6 with shading in between |
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Answer» Which of the following is the correct graph of the solution to the inequality -13 > -5x + 2 > -28? number line with open dots at 3 and 6 and shading in between number line with a closed dot at 6 with shading to the right and another closed dot at 3 with shading to the left number line with an open dot at 6 with shading to the right and another open dot at 3 with shading to the left number line with closed dots at 3 and 6 with shading in between Solution: |
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| 2798. |
The slope of a vertical line is __; the slope of a horizontal line is ____. |
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Answer» The slope of a vertical line is infinity; the slope of a horizontal line is zero The slope of a line can be determined by using two points from which the line passes. |
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| 2799. |
What number must be added in the expression, x2-8x, to make a perfect square trinomial? |
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Answer» What number must be added in the expression, x2-8x, to make a perfect square trinomial? Solution: |
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| 2800. |
Brian is 8 and his brother is twice his age. How old will his brother be when Brian is 11? |
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Answer» Brian is 8 and his brother is twice his age. How old will his brother be when Brian is 11? Solution: |
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