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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.
| 5101. |
What are the zeroes of f (x) = x2- 2x - 3? x = -3, 1 x = -3, -1 x = 3, 1 x = 3, -1 |
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Answer» What are the zeroes of f (x) = x2- 2x - 3? x = - 3, 1 x = - 3, - 1 x = 3, 1 x = 3, - 1 Solution: |
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| 5102. |
If f(x) = 2x + 1 and g(x) = (x - 1)/2 , then f(g(x)) |
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Answer» If f(x) = 2x + 1 and g(x) = (x - 1)/2 , then f(g(x)) Solution: |
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| 5103. |
Find the general solution of the given higher-order differential equation. y(4) - 2y'' + y = 0 |
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Answer» Find the general solution of the given higher-order differential equation. y(4) - 2y'' + y = 0 Solution: |
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| 5104. |
What fractions of these circles have X's in them? |
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Answer» The fractionof these circles having X's in them is 1/2.
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| 5105. |
What is 80% of 40? |
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Answer» 80% of 40 is 32. A percentis a ratio of a number expressed out of100. |
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| 5106. |
How to express e to the power of ln? |
| Answer» e to the power of ln can be written as eln(x)= x. | |
| 5107. |
Factorise 2x3+ 54y3- 4x - 12y |
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Answer» 2x3+ 54y3- 4x - 12y can be factorised as2(x + 3y) (x2– 3xy + 9y2– 2) Factorization is a method of breaking or decomposing any expression or number into smaller expressions or numbers. |
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| 5108. |
What is the difference of squares that have a factor of x + 8? Complete the expression x2 - …. |
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Answer» What is the difference of squares that have a factor of x + 8? Complete the expression x2- …. Solution: |
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| 5109. |
Find an equation of the set of all points equidistant from the points A(-1, 5, 3) and B(6, 2, -2) . Describe the set. |
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Answer» Find an equation of the set of all points equidistant from the points A(-1, 5, 3) and B(6, 2, -2) . Describe the set. Solution: |
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| 5110. |
If sin θ = 1 over 4 and tan θ > 0, what is the value of cos θ? |
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Answer» If sin θ = 1 over 4 and tan θ > 0,the value of cos θ is 0.9682 We can make use of the trigonometric ratios to calculate different angle values easily. |
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| 5111. |
A man sold an article for Rs 495 and gained 10% on it. Find the cost price. |
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Answer» The cost price of the article is Rs 450. Cost Price is the amount at which the article was purchased. It is represented as CP. |
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| 5112. |
What is the 32nd term of the arithmetic sequence where a1 = -31 and a9 = -119? |
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Answer» What is the 32nd term of the arithmetic sequence where a1= -31 and a9= -119? Solution: |
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| 5113. |
Subtract the quotient of 18 and 2 from the sum of 22 and 9. |
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Answer» The result of the subtraction of the quotient of 18 and 2 from the sum of 22 and 9 is 22. Quotient is defined as the number resulting from the division of one number by another and sum is defined as adding two numbers. |
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| 5114. |
Find the average of all odd numbers up to 100: (1) 30, (2) 50, (3) 4, (4) 10 |
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Answer» The average of all odd numbers up to 100 is 50, which is option (2). The average isthe ratio of the sum of all given observations to the total numberof observations. |
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| 5115. |
Given that f(x) = 2x + 1 and g(x) = −5x + 2, Solve for f(g(x)) when x = 3. |
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Answer» Iff(x) = 2x + 1 and g(x) = −5x + 2, thenf(g(3)) = -25. We will first find the value off(g(x)), and then solve it for x = 3. |
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| 5116. |
Find the slope of a line that is perpendicular to a line that passes through the points (7, 1) and (-14, 4) |
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Answer» Find the slope of a line that is perpendicular to a line that passes through the points (7, 1) and (-14, 4) Solution: |
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| 5117. |
How much is 0.2 to the power of 4? |
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Answer» 0.2 to the power of 4 is 0.0016. We will unravel the solution to this question by the power of a quotient property of exponents. The exponent of any number represents how many times to use the number in a multiplication. |
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| 5118. |
If cos θ = (-5/13), tan θ > 0, what is sin θ? |
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Answer» If cos θ = (-5/13), tanθ > 0, then the value of sinθ = -12/13. Trigonometrydeals with the relationships between sides and angles oftriangles. They have many applications in calculus, linear algebra as well as geometry. Let's solve a problem related to the concepts of trigonometry. |
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| 5119. |
What is Exponential Function Definition? |
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Answer» The exponential functions are the functions of the form f(x) = ax In mathematics, a functionmeans a correspondence from one value x of the firstsetto another value y of the second set. |
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| 5120. |
If the HCF of 657 and 963 is expressed in the form 657x−(963×15), find the value of x? |
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Answer» If the HCF of 657 and 963 is expressed in the form 657x−(963 × 15), then the value of x is 22. Thehighest common factorof 657and 963isthe largest possible number, which dividesboth of them exactly without any remainder. |
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| 5121. |
What is the 32nd term of the arithmetic sequence where a1 = 14 and a13 = -58? |
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Answer» What is the 32nd term of the arithmetic sequence where a1= 14 and a13= -58? Solution: |
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| 5122. |
How do you find the area of a triangle without the height? |
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Answer» We can find the area of the triangle using Heron's formula, without its height been given. Triangles are very important shapes and must be learned in order to understand mathematics well. They are one of the most interesting shapes which have many interesting properties. Concepts of triangles and used in various fields related to science, engineering and architecture. In this blog, we will have a look into aninteresting way to find the area of the triangles without the height. |
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| 5123. |
The interval estimate of the mean value of y for a given value of x is the? |
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Answer» The interval estimate of the mean value of y for a given value of x is the? Solution: |
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| 5124. |
What is the circumference of the given circle in terms of pi? |
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Answer» 2 π r Circumferenceof a circle is defined as thelength of the boundary of a circle. It is also known as theperimeterof a circle. |
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| 5125. |
What is 5% of 300? |
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Answer» 5% of 300 is 15. A percentis a ratio of a number expressed out of100. |
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| 5126. |
The formula for the area of a regular polygon is?What is the equation solved for a? |
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Answer» The formula for the area of a regular polygon is, A = (a × p)/2, andthe equation solved for a is, a = (2 × A)/p, wherea isthe apothem andp is the perimeter of the regularpolygon. The area is the amount of space occupied by a 2-d shape and the area of any surface is always measured in the unit square. |
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| 5127. |
a) -4 b) 3/2 c) -3 d) 4 |
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Answer» The solutions of3(x – 4)(2x – 3) = 0, are x = 4 and x = 3/2. We will be using the concept of equations to answer this. |
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| 5128. |
What are the solutions of 3(x – 4)(2x – 3) = 0? Check all that apply. |
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Answer» The solutions of3(x – 4)(2x – 3) = 0, are x = 4 and x = 3/2. We will be using the concept of equations to answer this. |
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| 5129. |
What fraction of a day is 4 hours? |
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Answer» 1/6th of a day is equal to 4 hours There are 24 hours in a day. |
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| 5130. |
66 2/3 Percent as aFraction |
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Answer» 66 ⅔% can be expressed as 2/3 in the form of a fraction. A fraction is a numerical value that can be defined as a part of a whole. Every fraction consists of a numerator and a denominator. |
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| 5131. |
If 40 is increased to 56, what is the percent of change? |
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Answer» If 40 is increased to 56, what is the percent of change? Solution: |
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| 5132. |
What doesmean in a sentence? |
| Answer» Mean is the ratio of the sum of all given observations to the total numberof observations. | |
| 5133. |
Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED? |
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Answer» Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED?
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| 5134. |
What is Frequency Distribution in Statistics? |
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Answer» Frequency distribution in statistics is a graph or a set of data that is organized to show the frequency of occurrence of each outcome of any event which isrepeated a number of times. A frequency distribution is represented in many different ways like a table or a graph. |
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| 5135. |
An equilateral triangle has an altitude of 15m. What is the perimeter of the triangle? |
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Answer» An equilateral triangle has an altitude of 15m. What is the perimeter of the triangle? Solution: |
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| 5136. |
Find the cube roots of 8(cos 216° + i sin 216°). |
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Answer» Find the cube roots of 8(cos 216° + i sin 216°). Solution: |
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| 5137. |
What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y? |
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Answer» What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y? Solution: |
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| 5138. |
Which statement about 4x2 + 19x - 5 is true? One of the factors is (x - 4). One of the factors is (4x + 1). One of the factors is (4x - 5). One of the factors is (x + 5). |
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Answer» Which statement about 4x2 + 19x - 5 is true? Solution: |
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| 5139. |
Subtract: (-2x2 + 9x - 3) - (7x2 - 4x + 2) |
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Answer» Subtract: (-2x2 + 9x - 3) - (7x2 - 4x + 2) Solution: |
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| 5140. |
What is Statistics in Frequency Distribution? |
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Answer» Theconcept that deals with data analysis, interpretation, and presentation of data in a more meaningful way is statistics in the frequency distribution. Statistics deals with a set of data. Sometimes we may be interested in finding the most favorite or frequently used item from a set of data. |
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| 5141. |
Which is a possible turning point for the continuous function f(x)? (-2, 0),(0, -2),(2, -1),(4, 0) |
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Answer» Which is a possible turning point for the continuous function f(x)? Solution: |
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| 5142. |
Solve this quadratic equation. x2 + 2x - 22 = 0 |
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Answer» Solve this quadratic equation. x2 + 2x - 22 = 0 Solution: |
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| 5143. |
A takes 3 hours more than B to walk 30 km. But if A doubles his pace, he is ahead of B by 3 /2 hours. Find their speed of walking. |
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Answer» The speed of walking of A is 10/3 km/hand that of B is 5 km/h. The question is based on applications of linear equations. |
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| 5144. |
Which system of equations can be graphed to find the solution(s) to x2= 2x + 3? |
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Answer» Which system of equations can be graphed to find the solution(s) to x2= 2x + 3? Solution: |
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| 5145. |
The graph of which function has a minimum located at (4, -3)? f(x) = -1/2x2 + 4x - 11 f(x) = -2x2 + 16x - 35 f(x) =1/2x2- 4x + 5 f(x) = 2x2 - 16x + 35 |
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Answer» The graph of which function has a minimum located at (4, -3)? Solution: |
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| 5146. |
How many pairs of parallel sides does a rectangle have? |
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Answer» A rectangle has 2 pairs of parallel sides. A rectangleis a four sided-polygon, which has equal opposite sides and 4 interior right angles. |
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| 5147. |
Which one of the values below represents a lower quartile for the data set 23, 24, 21, and 20? 22,22.5,20.5,23.5,None of these |
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Answer» Which one of the values below represents a lower quartile for the data set 23, 24, 21, and 20? Solution: |
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| 5148. |
Solve by Addition/Elimination 2a+3b=6 and 5a+2b-4=0 |
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Answer» Solve by Addition/Elimination 2a+3b=6 and 5a+2b-4=0 Solution: |
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| 5149. |
What is the slope of the line 3x - 9y = 4? |
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Answer» What is the slope of the line 3x - 9y = 4? Solution: |
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| 5150. |
What is the inverse of the function f(x) = (2x +1)/x? |
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Answer» What is the inverse of the function f(x) = (2x +1) / x? Solution: |
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