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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.
| 7101. |
What is the remainder when (2x3+ 4x2- 32x - 40) ÷ (x - 4)? |
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Answer» What is the remainder when (2x3+ 4x2- 32x - 40) ÷ (x - 4)? Solution: |
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| 7102. |
Express 2 divided by 6as a fraction. |
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Answer» The value of
2 divided by 6 as a fraction is 1/ 3. To writea fraction in its simplest form meansthe numeratorand denominator can no longer be divided by the same whole number exactly or evenly. |
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| 7103. |
Find the point on the line y = 3x + 4 that is closest to the origin? |
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Answer» Find the point on the line y = 3x + 4 that is closest to the origin? Solution: |
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| 7104. |
What is25 of 30? |
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Answer» 25 of 30is 750. Multiplication also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 7105. |
Identify the surface with the given vector equation. r(s, t) = s sin(9t), s2, s cos(9t) |
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Answer» Identify the surface with the given vector equation. r(s, t) = s sin(9t), s2, s cos(9t) Solution: |
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| 7106. |
What is the HCFof 2 consecutive odd numbers? |
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Answer» The HCF of 2 consecutive odd numbers is 1. The highest common factor(HCF) or the greatest common factor(GCF) is the maximum possible number that exactly divides the given set of numbers. |
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| 7107. |
Find an explicit solution of the given initial-value problem. x2 dy/dx = y - xy, y(-1) = -5 |
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Answer» Find an explicit solution of the given initial-value problem. x2 dy/dx = y - xy, y(-1) = -5 Solution: |
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| 7108. |
Which of the following could be used to calculate the area of the sector in the circle shown above? π(15in) 40 over 360 π(40in)2 15 over 360 π(15in)2 40 over 360 π(40in) 15 over 360 |
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Answer» Which of the following could be used to calculate the area of the sector in the circle shown above?
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| 7109. |
What is the completely factored form of xy3-x3y? |
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Answer» What is the completely factored form of xy3-x3y? Solution: |
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| 7110. |
The position of a particle moving along a straight line at any time t is given by s(t) = t2 + 4t + 4. What is the acceleration of the particle when t = 4? |
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Answer» The position of a particle moving along a straight line at any time t is given by s(t) = t2+ 4t + 4. What is the acceleration of the particle when t = 4? Solution: |
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| 7111. |
Suppose Q and R are independent events, and P(Q) = 0.45, P(R) = 0.31. Find P(Q and R)? |
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Answer» Suppose Q and R are independent events, and P(Q) = 0.45, P(R) = 0.31. Find P(Q and R)? Solution: |
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| 7112. |
What is the slope of the line that passes through the given points (6, -1) and (-3, -1) |
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Answer» What is the slope of the line that passes through the given points (6, -1) and (-3, -1) Solution: |
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| 7113. |
What logarithmic function represents the data in the table? |
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Answer» What logarithmic function represents the data in the table? Solution: |
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| 7114. |
Answer: The probability that he knew the answer to the question, given that he answered it correctly is 24/29. |
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Answer» Thus, the probability that he knew the answer to the question, given that he answered it correctly is 24/29. Here we have three mutually exclusive and exhaustive events. |
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| 7115. |
In a test, an examinee either guesses or copies or knows that answer to a multiple-choice question which has four choices. The probability that he makes a guess is 1/3, and the probability that he copies is 1/6. The probability that his answer is correct, given he copied it, is 1/8, and the probability that his answer is correct, given he guessed it is 1/4. Find the probability that he knew the answer to the question, given that he answered it correctly. |
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Answer» Thus, the probability that he knew the answer to the question, given that he answered it correctly is 24/29. We will be using Baye's Theorem to find the probability. |
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| 7116. |
Find the distance driven, if you drive at 60 mph for 3 1/2 hours. Round to the nearest whole mile. |
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Answer» Find the distance driven, if you drive at 60 mph for 3 1/2 hours. Round to the nearest whole mile. Solution: |
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| 7117. |
What is the value of s in the equation 4(2s - 1) = 7s + 12? |
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Answer» What is the value of s in the equation 4(2s − 1) = 7s + 12? Solution: |
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| 7118. |
(1) 3 tan(3A) (2) 3 tan(3A) (3) cot(3A) (4) sin(3A) |
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Answer» The value of the expression comes out to be 3 tan(3 A) We can make use of trigonometric formulas to simplify expressions with complex trigonometric terms. |
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| 7119. |
Choose the correct option.tan A+ tan (60°+ A) -tan (60°- A) is equal to? |
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Answer» The value of the expression comes out to be 3 tan(3 A) We can make use of trigonometric formulas to simplify expressions with complex trigonometric terms. |
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| 7120. |
If a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) =? |
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Answer» If a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) =? Solution: |
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| 7121. |
Which is f(5) for the function -2x2 + 2x - 3? -107, -63, -43, -37 |
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Answer» Which is f(5) for the function -2x2+ 2x - 3? Solution: |
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| 7122. |
What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, … |
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Answer» What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, … Solution: |
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| 7123. |
A square lawn is bounded on the three sides by a path of 4m wide. If the area of the path is 7/8 that of the lawn, find the dimensions of the lawn. |
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Answer» The dimension of thesquare lawn which isbounded on the three sides by a path of 4m widewitharea of the path being7/8 that of the lawn is 16m A squareis a four sided polygon with all the sides equal to each other and every angle beinga right angle |
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| 7124. |
ABCD is a trapezium in which AB parallel DC and its diagonals intersect each other at point O . show that AO/BO = CO/DO |
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Answer» For a trapezium ABCD in which AB is parallel to DC and its diagonals intersect each other at point O we see that AO/BO = CO/DO A trapezoid (trapezium) is a quadrilateral in which one pair of opposite sides are parallel. |
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| 7125. |
The circumference of a sphere was measured to be 78 cm with a possible error of 0.5 cm. Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) cm2 What is the relative error? |
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Answer» The circumference of a sphere was measured to be 78 cm with a possible error of 0.5 cm. Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) cm2 What is the relative error? Solution: |
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| 7126. |
How is a rational number that is not an integer different from a rational number that is an integer? |
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Answer» How is a rational number that is not an integer different from a rational number that is an integer? Solution: |
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| 7127. |
Solve for x, given the equation square root of x minus 5 + 7 = 11. |
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Answer» Solve for x, given the equation square root of x minus 5 + 7 = 11. Solution: |
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| 7128. |
What do we call the set containing all the elements that are common to both set A and set B? |
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Answer» A set containing all the elements that are common in both set A and set B is called the union of sets. It is denoted by A∪ B. The well-defined collection of elements and distinct objects is called aset. |
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| 7129. |
Write an equation that expresses the following relationship. y varies directly as x and inversely as the square of z. |
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Answer» Write an equation that expresses the following relationship. y varies directly as x and inversely as the square of z. Solution: |
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| 7130. |
Find the value of k, for which one root of the quadratic equation kx2- 14x + 8 = 0 is six times the other. |
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Answer» The value of kfor which one root of the quadratic equation kx2- 14x + 8 = 0 is six times the other is k = 3. Zeros androots are the values that satisfy a given equation. The term zeros are used for an algebraic expression whereas roots are used for a given equation. |
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| 7131. |
Find the linearization L(x) of the function at a. f(x) = x, a = 9 |
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Answer» Find the linearization L(x) of the function at a. f(x) = x, a = 9 Solution: |
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| 7132. |
Find the value of a and b in x2- 16x + a = (x + b)2. |
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Answer» The value of a is 64 and the value of b is 8 forx2- 16x + a = (x + b)2. The coefficients oftwo polynomials can be equal and identical for each different type of term. |
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| 7133. |
Solve the system of equations. 5x + y = 9 and 3x + 2y = 4 |
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Answer» Solve the system of equations. 5x + y = 9 and 3x + 2y = 4 Solution: |
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| 7134. |
Find the area enclosed by the curve x = t2 - 2t , y = √(t), and the y-axis. |
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Answer» Find the area enclosed by the curve x = t2- 2t , y = √(t), and the y-axis. Solution: |
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| 7135. |
Evaluate1 5/8 |
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Answer» 1 5/8 is equal to 13/8 as an improper fraction and 1.625 as a decimal. 1 5/8 is a mixed fraction. We will convert to an improper fractionand find its decimal value. |
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| 7136. |
Determine two pairs of polar coordinates for the point (3, 3) with 0° ≤ θ < 360°. |
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Answer» Determine two pairs of polar coordinates for the point (3, 3) with 0° ≤ θ < 360°. For Solution: |
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| 7137. |
What is the formula for compound interest? |
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Answer» The formula of compound interest is CI = P(1 + (r/n) )nt- P Compound interest is the interest paid on both principal and interest, compounded in regular intervals. |
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| 7138. |
What is 4/5 as a percent? |
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Answer» 4/5 as a percent is 80%. A percentage is a fraction or a ratio in which the value of the whole is always 100. |
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| 7139. |
Describe the relationship between input and output values for composite functions. |
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Answer» If the composite is fog(x), the output of "g" is the input of "f". Functions are often described in terms of "input" and "output". |
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| 7140. |
How do you figure out the area of a rectangle? |
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Answer» To find the area of a rectangle, we multiply the length of therectangleby the width of therectangle. A rectangleis a four sided-polygon, which has equal opposite sides and 4 interior right angles. |
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| 7141. |
If a parking lot holds 1,600 cars and fills 3/4 of its spaces, how many spaces are filled? |
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Answer» If a parking lot holds 1,600 cars and fills 3/4 of its spaces, how many spaces are filled? Solution: |
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| 7142. |
How to write nine crore five lakh forty one in number? |
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Answer» Nine crore five lakh forty one in number is written as 9,05,00,041. An Indian place value system has to place the value of numbers in the sequence ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, crores, ten crores, and so on. |
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| 7143. |
What is 80% of 50? |
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Answer» 80% of 50 is 40. A percentis a ratio of a number expressed out of100. |
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| 7144. |
Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient? |
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Answer» After using the synthetic division of (x4 – 1) ÷ (x – 1), the quotient we get is x3+x2+ x +1. We will be using the concept of synthetic division to answer this question. |
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| 7145. |
Line AB contains points A(-2, 3) and B(4, 5). Line AB has a slope that is Zero, Undefined, Positive, Negative |
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Answer» Line AB contains points A(-2, 3) and B(4, 5). Line AB has a slope that is Zero, Undefined,Positive,Negative Solution: |
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| 7146. |
15/4 as aMixed Number |
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Answer» 15/4, written as a mixed number is equal to 3 3/4. Mixed numbers are very beneficial and helpful when we are counting whole things and parts of things unitedly. |
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| 7147. |
Find the sum of 4x3 + 2x2 - 4x + 3 and 7x3 - 4x2 + 7x + 8. |
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Answer» Find the sum of 4x3+ 2x2- 4x + 3 and 7x3- 4x2+ 7x + 8. Solution: |
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| 7148. |
In what time will Rs. 7500 amount to Rs. 8625, if interest is reckoned at 7 1/2% pa? |
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Answer» The time required to pay Rs 7500 amount to Rs 8625, if interest is reckoned at 7 1/2% pa is 2 years Simple interestis the interest amount for a particular principal amount of money at some rate of interest |
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| 7149. |
Apply quick select to find the median of the list of numbers 9, 12, 5, 17, 20, 30, 8. |
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Answer» Apply quick select to find the median of the list of numbers 9, 12, 5, 17, 20, 30, 8. Solution: |
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| 7150. |
Using a directrix of y = 5 and a focus of (4, 1), what quadratic function is created? |
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Answer» Using a directrix of y = 5 and a focus of (4, 1), what quadratic function is created? Solution: |
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