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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.
| 3101. |
In the diagram of circle r, m∠FGH is 50°. What is m∠FEH? |
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Answer» In the diagram of circle r, m∠FGH is 50°. What is m∠FEH? Solution: |
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| 3102. |
How to express 10to the power of 12? |
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Answer» 10to the power of 12can be expressed as 1012= 10× 10× 10× 10× 10× 10× 10× 10× 10× 10× 10× 10 = 1,000,000,000,000. Power orexponentsaredefined as the total number of times we use the number ina multiplication.For example, 3to the power of 3 means 3is multiplied 3 times. |
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| 3103. |
Give the 24th Term of the Sequence 3, 8, 13, 18, . . . |
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Answer» The 24th Term of the Sequence 3, 8, 13, 18, . . . is 118. In an arithmetic sequence, the difference between any two consecutive terms is the same throughout the sequence. |
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| 3104. |
Find the area of a triangle with a base length of 4 units and a height of 5 units? |
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Answer» Find the area of a triangle with a base length of 4 units and a height of 5 units? Solution: |
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| 3105. |
How to add a fraction and a whole number? |
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Answer» The addition of a fraction and a whole number is done as follows. A whole number can also be considered as a fraction with a denominator 1. When we add a whole number to a fraction we get an improper fraction. |
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| 3106. |
What is the slope of the line y = 3? (a) undefined, (b) 0, (c) -3, (d) 3 |
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Answer» What is the slope of the line y = 3? Solution: |
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| 3107. |
Find an equation of the line having the given slope and containing the given point m=-8, (4,5)? |
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Answer» Find an equation of the line having the given slope and containing the given point m=-8, (4,5)? Solution: |
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| 3108. |
Use the arc length formula and the given information to find r. s = 12 cm, θ = 36°; r = ? |
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Answer» Use the arc length formula and the given information to find r. s = 12 cm, θ = 36°; r = ? Solution: |
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| 3109. |
The angles of a triangle are 2x, 3x, and 4x degrees. Find the value of x. |
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Answer» The angles of a triangle are 2x, 3x, and 4x degrees. Find the value of x. Solution: |
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| 3110. |
Suppose x coins are tossed. Write an expression to represent the number of possible outcomes. |
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Answer» Suppose x coins are tossed. Write an expression to represent the number of possible outcomes. Solution: |
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| 3111. |
What is the remainder when (x3 - 6x2 - 42x + 79) is divided by (x + 5)? |
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Answer» What is the remainder when (x3 - 6x2 - 42x + 79) is divided by (x + 5)? Solution: |
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| 3112. |
Find the sum of a finite geometric sequence from n = 1 to n = 5, using the expression -3(4)n - 1. |
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Answer» Find the sum of a finite geometric sequence from n = 1 to n = 5, using the expression - 3(4)n- 1. Solution: |
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| 3113. |
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. Find the number of each. |
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Answer» A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. Find the number of each. Solution: |
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| 3114. |
Given that P = (-5, 11) and Q = (-6, 4), find the component form and magnitude of QP? |
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Answer» Given that P = (-5, 11) and Q = (-6, 4), find the component form and magnitude of QP? Solution: |
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| 3115. |
Set up a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) = 5 |
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Answer» Set up a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) = 5
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| 3116. |
Let f(x) = x − 2 and g(x) = x2− 7x − 9. Find f(g(−1)). |
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Answer» Iff(x) = x − 2 and g(x) = x2− 7x − 9, thenf(g(-1)) = -3. We will use the concept of functions to solve the given question. |
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| 3117. |
Which binomial is a factor of 9x2-64? 3x -8,9x -32,3x + 32,9x + 8 |
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Answer» Which binomial is a factor of 9x2-64? Solution: |
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| 3118. |
Which value of a would not make the following expression completely factored? x2 - a 12,36,49,81 |
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Answer» Which value of a would not make the following expression completely factored? x2- a Solution: |
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| 3119. |
Find the zeroes of the polynomial 3x2- 4√3x + 4 by factorization method. |
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Answer» The zeroes of the polynomial 3x2- 4√3x + 4 by factorization method. The zeroes of a polynomial functionare the values where the function becomes equal to zero. |
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| 3120. |
How Many Zeros in a Quintillion? |
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Answer» There are 18 zeros in a Quintillion. Let us find the number of zeros in a quintillion. |
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| 3121. |
Find 2x2 - 2z4 + y2 - x2 + z4 if x = -4, y = 3, and z = 2. |
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Answer» Find 2x2 - 2z4 + y2 - x2 + z4 if x = -4, y = 3, and z = 2. Solution: |
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| 3122. |
How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3 ? |
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Answer» How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3 ? Solution: |
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| 3123. |
How to find the radius of a circle when the circumference is given? |
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Answer» The radius of a circle using the circumference can be found by the formula - Radius = Circumference / 2π. The circleis a two-dimensional figure defined asa collection of points on a two-dimensional plane which are equidistant from the center point 'O'. |
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| 3124. |
If A ⊂ B, then which of the following describes the relationship between A and B? Set A can have the same number of elements as set B. Set B may have fewer elements than set A. The intersection of sets A and B must be the empty set. Set B may have more elements than A does. |
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Answer» If A ⊂ B, then which of the following describes the relationship between A and B? Set A can have the same number of elements as set B. Set B may have fewer elements than set A. The intersection of sets A and B must be the empty set. Set B may have more elements than A does. Solution: |
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| 3125. |
What is an equation in standard form of an ellipse centered at the origin with vertex (-5, 0) and covertex at (0, 4). |
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Answer» What is an equation in standard form of an ellipse centered at the origin with vertex (-5, 0) and covertex at (0,4). Solution: |
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| 3126. |
What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y=4? |
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Answer» What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y=4? Solution: |
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| 3127. |
x varies directly as y, and x = 153 when y = 9. Find x when y = 13. |
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Answer» x varies directly as y, and x = 153 when y = 9. Find x when y = 13. Solution: |
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| 3128. |
What is the next number 3, 6, 4, 8, 6, 12, 10, ...? |
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Answer» What is the next number 3, 6, 4, 8, 6, 12, 10, ...? Solution: |
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| 3129. |
Simplify open parentheses x to the 2 ninths power close parentheses to the 3 eighths power. |
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Answer» Simplify open parentheses x to the 2 ninths power close parentheses to the 3 eighths power. Solution: |
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| 3130. |
Find sin x/2, cos x/2 and tan x/2, if tan x = -4/3 , x in quadrant II |
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Answer» Find sin x/2, cos x/2 and tan x/2, if tan x = -4/3 , x in quadrant II Solution: |
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| 3131. |
In order to solve the equation -3x + 6 = 5, the first step is to Add 6 to both sides Divide by 5 on both sides Subtract 6 from both sides Multiply by 5 on both sides |
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Answer» In order to solve the equation −3x + 6 = 5, the first step is to Solution: |
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| 3132. |
A toy plane has a mass of 2.5 kg and is 18 m above the ground. It is moving at 4.5 m/s. How much mechanical energy does the toy plane have? 416 J,475 J,466 J,491 J |
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Answer» A toy plane has a mass of 2.5 kg and is 18 m above the ground. It is moving at 4.5 m/s. How much mechanical energy does the toy plane have? Solution: |
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| 3133. |
If areas of three circles are in ratio 4 : 9 : 25. What is the ratio of their radii? |
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Answer» For the given ratio ofareas of three circles 4 : 9 : 2, the ratio of the radii forthree circles is r1:r2:r3=2 : 3 : 5 Area of the circle of radius r isπr2 |
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| 3134. |
Find all points, if any, where y - 4x = 12 intersects 2 - y = 2(x + 2)2 |
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Answer» Find all points, if any, where y - 4x = 12 intersects 2 - y = 2(x + 2)2 Solution: |
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| 3135. |
The sum of two numbers is 55 and the HCF and LCM of these two numbers are 5 and 20 respectively. Find the sum of reciprocals of these numbers. |
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Answer» The sum of the reciprocals of two numbers whose sumis 55 and the HCF and LCMare 5 and 20 respectively is 11/20. When the product of two numbers is 1, they are said to be reciprocals of each other. |
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| 3136. |
What are the Amplitude, Period, and Midline of f(x) = −7sin(4x − π) + 2? |
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Answer» The Amplitude, Period,and Midline off(x) = −7sin(4x − π) + 2are −7,π/2, and y = 2 respectively. We will be using the phase shift standard form to solve this. |
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| 3137. |
x varies inversely as y2, and x = 4 when y = 10. find x when y = 2. x = 16 , x = 5, x = 80, x = 100 |
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Answer» x varies inversely as y2, and x = 4 when y = 10. find x when y = 2. x = 16 , x = 5, x = 80, x = 100 Solution: |
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| 3138. |
What is the formula for the area of a trapezoid? |
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Answer» The formula for the area of a trapezoid is A = ½ (a + b) h square units, wherea,b are the parallel sides of the trapezoid andh is the height. A trapezoidis a type of quadrilateral in which one pair of opposite sides are parallel. |
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| 3139. |
Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet. |
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Answer» Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet.
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| 3140. |
Write 2 5/6 as a fraction. |
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Answer» Write 2 5/6 as a fraction. Solution: |
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| 3141. |
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 26 ft/s. At what rate is his distance from second base decreasing when he is halfway to first base? At what rate is his distance from third base increasing at the same moment? |
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Answer» A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 26 ft/s.
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| 3142. |
Give the values of a, b, and c from the general form of the equation (2x + 1)(x - 2) = 0. |
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Answer» Give the values of a, b, and c from the general form of the equation (2x + 1)(x - 2) = 0. The general form of aquadratic equationis ax2 + bx + c = 0 |
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| 3143. |
What is the slope of the line represented by the equation y = -5x? |
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Answer» What is the slope of the line represented by the equation y = -5x? Solution: |
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| 3144. |
The measure of central angle RST is pi radians. What is the area of the shaded sector? |
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Answer» The measure of central angle RST is pi radians. What is the area of the shaded sector?
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| 3145. |
One liter is equal to how many glasses of water? |
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Answer» One liter is equal to 4 glasses of water. The capacity of a glass of water is approximately considered to be 8 ounces, and 1 liter is equal to 32 ounces. |
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| 3146. |
Is 0 a rational, irrational, natural, whole, integer or real number? |
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Answer» 0 is a rational number, whole number, integer, and a real number. Let us understand the definition of real numbers, rational numbers, irrational numbers, natural numbers, whole numbers, and integers. |
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| 3147. |
What is the value of x to the nearest tenth the figure is not drawn to scale? |
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Answer» What is the value of x to the nearest tenth the figure is not drawn to scale?
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| 3148. |
In simplest radical form, what are the solutions to the quadratic equation 0 = -3x2 - 4x + 5? |
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Answer» In simplest radical form, what are the solutions to the quadratic equation 0 = -3x2 - 4x + 5? Solution: |
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| 3149. |
The probability that a single radar station will detect an enemy plane is 0.65. (a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station? (b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.) |
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Answer» The probability that a single radar station will detect an enemy plane is 0.65. Solution: |
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| 3150. |
Find three rational numbers between -3/7 and -2/7 |
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Answer» Three rational numbers between -3/7 and -2/7 are -11/28, -10/28 and -9/28 A rational numberis a numberthat can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. |
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