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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.
| 8001. |
Simplify:17 – 6 × 10 ÷ 2 + 12. |
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Answer» The solution of 17 – 6 × 10 ÷ 2 + 12 is-1. Let us simplify the given arithmetic expression. |
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| 8002. |
If the interest rate is zero, then $100 to be paid in 10 years has a present value that is less than $100, more than $100, exactly $100, Indeterminate. |
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Answer» If the interest rate is zero, then $100 to be paid in 10 years has a present value that is less than $100, more than $100, exactly $100, Indeterminate. Solution: |
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| 8003. |
When Vijay sells 12 pens, he gains the selling price of 2 pens. Calculate his gain percentage. |
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Answer» When Vijay sells 12 pens, he gains the selling price of 2 pens. Calculate his gain percentage. Solution: |
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| 8004. |
What is the domain and range of the function f(x) = 3x + 5? |
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Answer» What is the domain and range of the function f(x) = 3x + 5? Solution: |
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| 8005. |
What is 180 degrees Celsius in Fahrenheit? |
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Answer» 180°Celsiusis equal to 356°Fahrenheit. The two different types of units to measuretemperatureareCelsiusandFahrenheit. |
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| 8006. |
Solve for x: -3(x + 3) = -3(x + 1) - 5. 6, -6, All real numbers, No solution |
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Answer» Solve for x: -3(x + 3) = -3(x + 1) - 5. 6, -6, All real numbers, No solution Solution: |
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| 8007. |
Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction. |
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Answer» Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction. Solution: |
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| 8008. |
What is the value of x? 14, 15, 16, 17 |
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Answer» What is the value of x? 14, 15, 16, 17 Solution: |
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| 8009. |
What is the area of triangle ABC? |
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Answer» The area of a triangle is the regionenclosed between the sides of the triangle.AreaofΔABC =1/2× Base× Height Trianglesare three-sided closed figures. |
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| 8010. |
What is 18%as a fraction? |
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Answer» 18%as a fraction is 9/50 Percent means per hundred or for every hundred. We represent it as %. |
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| 8011. |
What is the ratio of the area of ABC to the area of ABD? |
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Answer» What is the ratio of the area of ABC to the area of ABD? Solution: |
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| 8012. |
Solve for x: 3 over 4, x + 5 over 8 = 4x |
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Answer» x = 5/26 in the equation3 over 4, x + 5 over 8 = 4x. The question is based on simplifying analgebraic expression. |
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| 8013. |
What is the perimeter of a triangle? |
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Answer» What is the perimeter of a triangle? Solution: |
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| 8014. |
How do you get 24 from 9, 6, 11and 3? |
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Answer» (11 - 6) × 3 + 9 = 24 or [(11 - 9) + 6]× 3 = 24 Fundamental operations are the basics of mathematics. These include addition, subtraction, multiplication, and division. |
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| 8015. |
0,1, 2, 3, and4 are what kind of numbers? |
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Answer» 0, 1, 2, 3, and4 are numbers that belong to the set of whole numbers. We will use the definition of whole numbers to answer this question. |
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| 8016. |
How to find the center and radius of a circle? |
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Answer» The center and radius of a circle are C and r respectively. 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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| 8017. |
Find the remainder when (x3-2) is divided by (x -1). |
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Answer» The remainder when (x3-2) is divided by (x -1)is -1 The dividend here is(x3-2) and (x - 1) is the divisor. |
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| 8018. |
A force is a vector that has both magnitude and direction. True or False? |
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Answer» True, force is a vector quantity that has both magnitude and direction. Force has a well-defined magnitude as well as direction. |
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| 8019. |
Find the derivative of the function. f(x) = (2x -2)4 (x2+x+1)5. |
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Answer» Find the derivative of the function. f(x) = (2x -2)4 (x2+x+1)5. Solution: |
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| 8020. |
What is the solution to equation 1 over the square root of 8 = 4(m + 2)? |
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Answer» What is the solution to equation 1 over the square root of 8 = 4(m + 2)? Solution: |
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| 8021. |
Let f(x)=3x2-x+2 and g(x)=5x2-1. What is f(g(x))? |
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Answer» Let f(x)=3x2-x+2 and g(x)=5x2-1. What is f(g(x))? Solution: |
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| 8022. |
If u = (1 + i ) and v = (1 − i ), what is uv? |
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Answer» If u = (1 + i ) and v = (1 − i ), the value of uv is 2. A complex number is the sumof a real number and an imaginary number. |
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| 8023. |
What is 10% of 150? |
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Answer» 10% of 150 is 15. A percentis a ratio of a number expressed out of100. |
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| 8024. |
What is the vertex of f(x) = |x + 8| -3? (-8, -3); (-8, 3); (8, -3); (8, 3) |
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Answer» What is the vertex of f(x) = |x + 8| -3? (-8, -3); (-8, 3); (8, -3); (8, 3) Solution: |
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| 8025. |
Find the general solution of the given second-order differential equation. y'' + 4y' + 4y = 0 |
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Answer» Find the general solution of the given second-order differential equation. y'' + 4y' + 4y = 0 Solution: |
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| 8026. |
What is1/4of 8? |
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Answer» 1/4of 8is 2. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 8027. |
What is 90degrees Fahrenheit in Celsius? |
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Answer» 90degrees Fahrenheit is equal to 32.22degrees Celsius. CelsiusandFahrenheit are two different types of units used formeasuringtemperature. |
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| 8028. |
Find the radius of a circle so that its area and circumference have the same value. |
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Answer» The radius of the circle is 2 unitsso that its area and circumference have the same value. A circle is a two-dimensional curved plane. Every point on the circle is equidistant from the center. |
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| 8029. |
How do you find the surface area of a rectangular prism? |
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Answer» The surface area of a rectangular prism is 2(lw+ wh + hl), where h is the height of the cuboid, wis the widthand l is the length. Rectangular prisms are six-sided solids, which are used for various practical purposes. They are also called cuboids. |
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| 8030. |
What is 2 1/8 as a decimal? |
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Answer» 2 1/8to decimal is 2.125 Decimalshavea whole numberand the fractional part separated by a decimal point. The decimalpresent between the whole number and fractions part is called the decimal point. For example, 3.5 is a decimal number. |
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| 8031. |
What are the values of x in the equation x2 - 6x + 9 = 25? |
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Answer» What are the values of x in the equation x2- 6x + 9 = 25? Solution: |
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| 8032. |
What fraction of an hour is 40 minutes? |
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Answer» 40 minutes is 2/3rd of an hour. In Mathematics, fractions are represented as a numerical value that can be defined as a part of a whole. |
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| 8033. |
Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5; where q is some integer. |
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Answer» Euclid’s division lemma is used to show thatany positive odd integer is of the form (6q + 1) or (6q + 3) or (6q + 5) where q is some integer. Euclid's division lemmastatesthat if wedivide an integer by another integer (non-zero integer), wewill get auniqueinteger as quotientand auniqueintegeras remainder. |
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| 8034. |
Given that f(x) = 5x -10 and g(x) = x + 3, solve for f(g(x)) when x = -1. -30, 0, 10, 12 |
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Answer» Given that f(x) = 5x -10 and g(x) = x + 3, solve for f(g(x)) when x = -1. -30, 0, 10, 12 Solution: |
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| 8035. |
If the radius of a circle is 3 meters, how long is the arc subtended by an angle measuring 30°? |
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Answer» If the radius of a circle is 3 meters, how long is the arc subtended by an angle measuring 30°? Solution: |
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| 8036. |
If h(x) = 4x - 8 and j(x) = -x, solve h[j(3)] and select the correct answer below. -36, -20, 1, 4 |
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Answer» If h(x) = 4x - 8 and j(x) = -x, solve h[j(3)] and select the correct answer below. -36, -20, 1, 4 Solution: |
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| 8037. |
Prove cos 3x = 4cos3x−3cosx |
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Answer» cos 3x = 4cos3x−3cosx We can prove cos 3x = 4cos3x−3cosx using trigonometric identity |
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| 8038. |
What is the value of f(x) = 2 • 2 x for f(-2)? |
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Answer» What is the value of f(x) = 2 • 2 x for f(-2)? Solution: |
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| 8039. |
In circle C, r = 32 units. What is the area of circle C? |
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Answer» In circle C, r = 32 units. What is the area of circle C? Solution: |
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| 8040. |
Complete the steps to evaluate the following expression, given log3a = -0.631, log3 a/3 log3 3 = |
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Answer» Complete the steps to evaluate the following expression, given log3a = -0.631, log3 a/3 log3 3 = Solution: |
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| 8041. |
Find all values of x that are not in the domain of g, where g(x) = (x - 7) / (x2- 3x - 10). |
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Answer» The values of x that are not in the domain of g, where g(x) = (x - 7) / (x2- 3x - 10)are x = -2 and x = 5. Functions can be of many types, which include algebraic, trigonometric, or differential functions. We will solve this problem using algebraic functions. |
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| 8042. |
Using the following equation, find the center and radius: x2 - 4x + y2 + 8y = -4 |
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Answer» Using the following equation, find the center and radius: x2 - 4x + y2 + 8y = -4 Solution: |
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| 8043. |
What number should be added to both sides of the equation to complete the square(x2-6x = 5)? |
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Answer» What number should be added to both sides of the equation to complete the square(x2- 6x = 5)? Solution: |
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| 8044. |
Find the LCM and HCF of the following integers by applying the prime factorization method: (1) 12, 15 and 21 (2) 17, 23 and 29 (3) 8, 9 and 25 |
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Answer» (1) LCM(12, 15, 21) = 420, HCF(12, 15, 21) = 3 (2) LCM(17, 23, 29) = 11339, HCF(17, 23, 29) = 1 (3) LCM(8, 9, 25) = 1800, HCF(8, 9, 25) = 1. Thelargest possible number which divides the given numbers exactly without any remainder is calledthehighest common factorof the given numbers. |
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| 8045. |
What does 'of' mean in algebra? |
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Answer» In Algebra, 'of' means to multiply. In Algebra, the word 'of' is commonly used in percentage and word problems, where it means that the given quantities should be multiplied. |
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| 8046. |
What is 10/3as a Mixed Number? |
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Answer» 10/3in a mixed fraction is 3 1/3. We can see 10/3is an improper fraction. This can be represented as a mixed number that will have a whole number as well as a fractional part. |
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| 8047. |
What is sin x + cos x in terms of sine? |
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Answer» Answer : The expression for sin x + cos x in terms of sine issin x + sin (π/ 2 – x). To convert sin x + cos x into sine expression we will be making use of trigonometric identities. |
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| 8048. |
What is the future value of $10,000 on deposit for 5 years at 6% simple interest? |
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Answer» Thefuture value of $10,000 with 6% interest after 5years at simple interest will be$ 13,000. Simple interest is the amount of interest chargedon a sum for a given period of time and at a givenrate. |
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| 8049. |
What substitution should be used to rewrite 4x4 - 21x2 + 20 = 0 as a quadratic equation? u = x2 u = 2x2 u = x4 u = 4x4 |
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Answer» What substitution should be used to rewrite 4x4 - 21x2 + 20 = 0 as a quadratic equation? u = x2 u = 2x2 u = x4 u = 4x4 Solution: |
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| 8050. |
Write an equation for the following transformation of y = x a vertical stretch by a factor of 6. y = 6x,y = x/6,y = x + 6,y = x - 6 |
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Answer» Write an equation for the following transformation of y = x a vertical stretch by a factor of 6. Solution: |
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