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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.
| 6101. |
Write the expression as the sine, cosine, or tangent of an angle. sin 8x cos x - cos 8x sin x? |
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Answer» Write the expression as the sine, cosine, or tangent of an angle. sin 8x cos x - cos 8x sin x? Solution: |
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| 6102. |
If x and y vary directly, and x = 12 when y = 3, what will be the value of x when y = 9? |
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Answer» If x and y vary directly, and x = 12 when y = 3, then the value of x when y = 9, is equal to36. Direct proportion isthe relationship between two variables whose ratioisequal to a constant value. |
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| 6103. |
A toolbox is a rectangular solid with sides of 19 in., 12 in. and 9 in. What is its volume? |
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Answer» A toolbox is a rectangular solid with sides of 19 in., 12 in. and 9 in. What is its volume? Solution: |
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| 6104. |
A tackle box is a rectangular solid with sides of 15 in., 12 in., and 9 in. What is its volume? |
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Answer» A tackle box is a rectangular solid with sides of 15 in., 12 in., and 9 in. What is its volume? Solution: |
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| 6105. |
The polynomial p(x) = x4 - 2x3 + 3x2 - ax + 3a - 7 when divided by x + 1 leaves the remainder 19. Find the value of a. Also find the remainder when p(x) is divided by x+2. |
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Answer» The polynomial p (x) = x4 - 2x3 + 3x2 - ax + 3a - 7 when divided by x + 1 leaves the remainder 19. Find the value of a. Also find the remainder when p(x) is divided by x+2. Solution: |
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| 6106. |
Which of the following equations has a graph that is symmetric with respect to the origin. y = (x + 1)/x y = -x5 + 3x y = x4 - 2x2 + 6 y = (x - 1)3 + 1 y = (x2 + 1)2 - 1 |
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Answer» Which of the following equations has a graph that is symmetric with respect to the origin. Solution: |
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| 6107. |
(i) -4 (ii) 1/4 (iii) 1 (iv) 2 |
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Answer» Based on the table of values below, find the slope between points where x = 3 and where x = 7. Solution: |
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| 6108. |
Based on the table of values below, find the slope between points where x = 3 and where x = 7. |
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Answer» Based on the table of values below, find the slope between points where x = 3 and where x = 7. Solution: |
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| 6109. |
Which logarithmic graph can be used to approximate the value of y in the equation 5y = 12? |
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Answer» Which logarithmic graph can be used to approximate the value of y in the equation5y= 12? Solution: |
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| 6110. |
Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12. $600.00 $87.50 $687.50 $80.50 |
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Answer» Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12. $600.00 $87.50 $687.50 $80.50 Solution: |
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| 6111. |
If x2+ y2= 100 and dy / dt = 4, find dx/dt when y = 6. |
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Answer» If x2+ y2= 100 and dy / dt = 4, find dx/dt when y = 6. Solution: |
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| 6112. |
What is 48% as a fraction in simplest form? |
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Answer» 48% as a fraction in simplest form is 12/25. Writing afractionin the simplest form gave an ideathat the numerator and the denominator cannotbe further divided by the same whole number (other than 1) properly. |
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| 6113. |
Derive the equation of the parabola with a focus at (0, -4) and a directrix of y = 4. |
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Answer» Derive the equation of the parabola with a focus at (0, -4) and a directrix of y = 4. Solution: |
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| 6114. |
Using the following equation, find the center and radius: x2 + 4x + y2 - 6y = -4 |
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Answer» Using the following equation, find the center and radius: x2+ 4x + y2 - 6y = -4 Solution: |
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| 6115. |
Given that event e has a probability of 0.31, the probability of the complement of event e? |
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Answer» Given that event e has a probability of 0.31, the probability of the complement of event e? Solution: |
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| 6116. |
What is 3 ln 3 - ln 9 expressed as a single natural logarithm? |
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Answer» What is 3 ln 3 - ln 9 expressed as a single natural logarithm? Solution: |
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| 6117. |
What is solution set of 6x2 - 24 = 0? |
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Answer» What is solution set of 6x2 - 24 = 0? Solution: |
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| 6118. |
Two positive numbers have a difference of 8 and a product of 33. What are these numbers? |
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Answer» Two positive numbers have a difference of 8 and a product of 33. What are these numbers? Solution: |
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| 6119. |
Prove that √5 is irrational and hence prove that (2 - √5) is also irrational. |
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Answer» Hence proved that√5 and(2 - √5) areirrational numbers Rational numbers are integers that are expressed in the form of p / q where p and q are both co-prime numbers and q is non zero. |
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| 6120. |
Find the value of sin75°. |
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Answer» The value of sin75° is (√3 + 1)/ (2√2). Trigonometrydeals with the measurement of angles and helps us study the relationship between the sides and angles of a right-angled triangle. |
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| 6121. |
Find the length of an arc of 40° in a circle with an 8 inch radius. |
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Answer» Find the length of an arc of 40° in a circle with an 8 inch radius. Solution: |
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| 6122. |
If f(x) = 3x and g(x) = 3(x + 1) + 6. Describe the transformations from f(x) to g(x). Left1 and up6 Left6 and up1 Right6 and up1 Right1 and down6 |
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Answer» If f(x) = 3x and g(x) = 3(x + 1) + 6. Describe the transformations from f(x) to g(x). Solution: |
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| 6123. |
Choose the correct product of (8x - 4)(8x + 4). 64x2 - 16,64x2 + 16,64x2 - 64x + 16,64x2 + 64x + 16 |
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Answer» Choose the correct product of (8x - 4)(8x + 4). Solution: |
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| 6124. |
What is the solution of √(-4x) = 100? x = -2500 x = -50 x = -2.5 No solution |
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Answer» What is the solution of√(-4x) = 100? Solution: |
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| 6125. |
The Sum of Four Consecutive Odd Integers is 216. What are the Four Integers? |
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Answer» The four consecutive integers whose sum is 216 are 51, 53, 55 and 57. Let us find the four integers when the sum of those consecutive odd integers is given. |
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| 6126. |
What is the additive inverse of -6/-15? |
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Answer» The additive inverse of -6/-15 is -6/15. TheAdditive inverse is what you add to a number to make the sum zero. The number can be a whole number, a natural number,integer,fraction, or any real number. |
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| 6127. |
Five cards are dealt from a standard 52-card deck. What is the probability that we draw (a) 3 aces and 2 kings? (b) a "full house" (3 cards of one kind, 2 cards of another kind)? |
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Answer» Five cards are dealt from a standard 52-card deck. What is the probability that we draw (a) 3 aces and 2 kings? (b) a "full house" (3 cards of one kind, 2 cards of another kind)? Solution: |
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| 6128. |
Sarah pays a 20% deposit for a new tv and then an extra $96. What’s the total cost? |
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Answer» Sarah pays a 20% deposit for a new tv and then an extra $96. What’s the total cost? Solution: |
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| 6129. |
Using the given points and line, determine the slope of the line. (1, 2) and (2, 1) |
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Answer» Using the given points and line, determine the slope of the line. (1, 2) and (2, 1) Solution: |
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| 6130. |
What is 1/4 of 10? |
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Answer» 1/4 of 10 is 2.5. A fraction can bea portion or section of any quantity out of a whole, where, the whole can be any positive integer. |
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| 6131. |
A Venn diagram is shown below: What are the elements of (a ∩ b)’? |
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Answer» A Venn diagram is shown below: What are the elements of (a ∩ b)’?
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| 6132. |
What is the missing number in the following sequence: 1 , 16 , _ , 100, 169 |
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Answer» What is the missing number in the following sequence: 1 , 16 , _ , 100, 169 Solution: |
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| 6133. |
Find the area of a triangle with a base of 10 inches and altitude to the base of 16 inches. |
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Answer» Find the area of a triangle with a base of 10 inches and altitude to the base of 16 inches. Solution: |
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| 6134. |
Choose the correct simplification of the expression 2 b over c all to the power of 3. |
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Answer» Choose the correct simplification of the expression 2 b over c all to the power of 3. Solution: |
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| 6135. |
Which of the following shows the correct steps to find the value of 27 to the power of 1 over 3? A) 271/3= (93)1/3 = (9)3(1/3) = 9 B) 271/3= (39)1/3= (3)9(1/3) = 3 C) 271/3= (34)1/2 = (3)4(1/2)=9 D) 271/3= (33)1/3=(3)3(1/3)=3 |
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Answer» Which of the following shows the correct steps to find the value of 27 to the power of 1 over 3? Solution: |
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| 6136. |
An inequality is shown below: -np - 3 ≥ 7(c - 4) Which of the following solves for n? n ≤ - the quantity 7 times c minus 31 all over p n ≤ - the quantity 7 times c minus 25 all over p n ≥ - the quantity 7 times c minus 31 all over p n ≥ - the quantity 7 times c minus 25 all over p |
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Answer» An inequality is shown below: -np - 3 ≥ 7(c - 4) Solution: |
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| 6137. |
Find the equation of the plane whose x-intercept, y-intercept and z-intercept are 2, 3, 1. respectively. |
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Answer» Find the equation of the plane whose x-intercept, y-intercept and z-intercept are 2, 3, 1. respectively. Solution: |
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| 6138. |
How do you convert 0.02 to a fraction? |
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Answer» 0.02 can bewritten in fraction form as 1/50. Afraction can be defined as a numerical quantity that is not a whole number example 2/3, 5/6. |
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| 6139. |
What is 2 to the 5th power? |
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Answer» The value of 2 to the 5th power i.e., 25is 32. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 6140. |
What is 9/4 as a decimal? |
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Answer» 9/4as a decimal is 2.25 We can also define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint. The pointin adecimalnumber is called adecimalpoint. |
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| 6141. |
Given that the interest is only earned on principal, if an investment of RS.1000.00 amount to RS.1440.00 in two years, then what is the rate of interest earned? |
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Answer» Given that the interest is only earned on principal, if an investment of RS.1000.00 amount to RS.1440.00 in two years, then what is the rate of interest earned? Solution: |
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| 6142. |
Prove cos (3x) = 4cos3 (x) -3cos (x) |
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Answer» Hence proved that cos (3x) = 4cos3x−3cosx Trigonometry helpsin finding the measure of unknown dimensions of a right-angled triangle using formulas and identities based on this relationship. |
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| 6143. |
Suzanne can read 1 page in 3 minutes. How many pages can she read in 5 hours? |
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Answer» Suzanne can read 1 page in 3 minutes. How many pages can she read in 5 hours? Solution: |
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| 6144. |
Identify the expression for calculating the mean of a binomial distribution (n, p). a) np(1-p) b) np c) n(1-p) d) n2p |
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Answer» Identify the expression for calculating the mean of a binomial distribution (n, p). Solution: |
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| 6145. |
Is cos x even or odd? |
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Answer» Cos x is an even function. Trigonometry is the branch of maths that deals with relationships between sides and angles of various geometrical objects. |
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| 6146. |
Is it possible for two numbers to have a difference of 8, and a sum of 1? |
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Answer» Is it possible for two numbers to have a difference of 8, and a sum of 1? Solution: |
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| 6147. |
What is the equation of the quadratic graph with a focus of (5, -1) and a directrix of y = 1? |
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Answer» What is the equation of the quadratic graph with a focus of (5, -1) and a directrix of y = 1? Solution: |
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| 6148. |
If four times a certain number, increased by 6 is equal to 94, what is the number? |
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Answer» If four times a certain number, increased by 6 is equal to 94, what is the number? Solution: |
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| 6149. |
When 2x2/y = w + 2/4 is solved for w, one equation is w= 8x2/y - 2. Which of the following is an equivalent equation to find w? w = 8x2 + 2y/y,w = 8x2- 2y/y,w = 8x2 - 3y,w = 8x2 - y |
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Answer» When 2x2/y = w + 2/4 is solved for w, one equation is w= 8x2/y - 2. Which of the following is an equivalent equation to find w? Solution: |
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| 6150. |
Determine algebraically whether the given function is even, odd, or neither: f(x) = x5 - x3+ x. |
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Answer» The function f(x) =x5 - x3+ x is an odd function. Functions are very important concepts in mathematics. There are many types of functions, which include even functions, odd functions, or neither odd nor even functions. |
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