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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.
| 6051. |
What is 3 3/8 as a decimal? |
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Answer» 33/8 as a decimal is 3.375. We can define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint. |
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| 6052. |
Given the function f(x) = -2x2+ 4x - 7, find f(-4). |
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Answer» Given the function f(x) = -2x2+ 4x - 7, find f(-4). Solution: |
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| 6053. |
What is the antiderivative of e2x? |
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Answer» Theantiderivative of e2xis 1/2 e2x The antiderivative is the integral of a function. |
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| 6054. |
If a number is an Integer then it is rational. True / False? |
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Answer» True. If a number is an integer then it is rational. Rational numbers can be represented as a fraction where the numerator and denominator are integers and the denominator is not equal to zero. |
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| 6055. |
Write the equation of the circle with center (-1, -3) and (-7, -5) a point on the circle. |
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Answer» Write the equation of the circle with center (-1, -3) and (-7, -5) a point on the circle. Solution: |
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| 6056. |
If you flip a coin 3 times what is the probability of getting 1 heads? |
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Answer» If you flip a coin 3 times what is the probability of getting 1 heads? Solution: |
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| 6057. |
Find all solutions in the interval [0, 2π). 4 sin2 x - 4 sin x + 1 = 0 |
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Answer» Find all solutions in the interval [0, 2π). 4 sin2 x - 4 sin x + 1 = 0 Solution: |
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| 6058. |
What are all the prime numbers from 1 to 100? |
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Answer» There are 25 prime numbers between 1 to 100. Prime numbers are the numbers that have only two factors i.e, 1 and itself |
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| 6059. |
Put these four fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2. |
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Answer» The fractions from smallest to largest are: 1/4 < 1/2 < 4/7 < 2/3. Fractions are important concepts that are used for calculations. There are two parts of a fraction: numerator and denominator. |
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| 6060. |
Which statement describes the first step to solve the equation by completing the square? 2x2 + 12x = 32 Add 36 to each side of the equation. Multiply both sides of the equation by 12. Add 6 to each side of the equation. Multiply both sides of the equation by 16. |
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Answer» Which statement describes the first step to solve the equation by completing the square? 2x2 + 12x = 32 Solution: |
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| 6061. |
What's the surface area of a cylinder with a radius 3 feet and height of 4 feet? |
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Answer» What's the surface area of a cylinder with radius 3 feet and height 4 feet? Solution: |
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| 6062. |
Triangle ABC is an isosceles triangle in which AB = AC. What is the perimeter of △ABC? |
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Answer» Triangle ABC is an isosceles triangle in which AB = AC. What is the perimeter of △ABC?
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| 6063. |
Solve: 16x² − 81 = 0. x = 4, 9, x = - 4, - 9, x = 9 over 4, x = - 9/4, x = 81/16, x = - 81/16 |
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Answer» Solve: 16x² − 81 = 0. x = 4, 9, x = - 4, - 9, x = 9 over 4, x = - 9/4, x = 81/16, x = - 81/16 Solution: |
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| 6064. |
Choose the correct classification of 2x + 10x2 - x3 by number of terms and by degree. Third degree trinomial Fourth degree trinomial Sixth degree polynomial First degree binomial |
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Answer» Choose the correct classification of 2x + 10x2 - x3 by number of terms and by degree. Solution: |
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| 6065. |
What is 2/3of 6? |
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Answer» 2/3of 6is 4. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 6066. |
Find the equation of a circle that has its center at (-4, 3) and has a radius of 5. |
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Answer» Find the equation of a circle that has its center at (-4, 3) and has a radius of 5. Solution: |
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| 6067. |
What is the distance from (-2, 4) to (0, -6)? round your answer to the nearest hundredth. |
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Answer» What is the distance from (-2, 4) to (0, -6)? round your answer to the nearest hundredth. Solution: |
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| 6068. |
Simplify square root of 2 multiplied by the cube root of 2. |
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Answer» Square root of 2 multiplied by the cube root of 2 is equal to 2(5/6). Let's look into the product lawam × an = am+nunder the exponent rules. |
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| 6069. |
What is the solution of the system of equations? 3x + 6y = -2 and 15x + 30y = -10 |
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Answer» What is the solution of the system of equations? 3x + 6y = -2 and 15x + 30y = -10 Solution: |
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| 6070. |
Can you find the cube root of a negative number? |
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Answer» Yes, the cube root of a negative number can be calculated. Thecube rootof a number is a value that is obtainedwhen the number is multipliedthree times with itself. |
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| 6071. |
What is the LCM of 6, 72and 120? |
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Answer» LCM of 6, 72and 120 is 360 LCM of 6, 72and 120 is the least number which is exactly divisible by both 6, 72 and 120. |
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| 6072. |
What is the HCF of 6, 72, and 120? |
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Answer» HCF of 6, 72, and 120is 6 Highest Common Factorof two or more numbers is the largest possible number which divides the given numbers exactly. |
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| 6073. |
Which of the following is a subset of {1, 3, 5, 7, 9}? 1.{3,5} 2.{7} 3.{ } 4. {1, 3, 5, 7, 9} 5. {2, 3} 6.{9}. |
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Answer» Which of the following is a subset of {1, 3, 5, 7, 9}? Solution: |
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| 6074. |
What is 3.6 as aFraction? |
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Answer» 3.6 as a fraction would be written as 18/5. To simplify a fraction, one can write the fraction in a mixed fraction in its simplest form. |
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| 6075. |
Find the dimensions of a rectangle with a perimeter 100m whose area is as large as possible. |
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Answer» Find the dimensions of a rectangle with a perimeter 100m whose area is as large as possible. Solution: |
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| 6076. |
If P(A) = 0.50, P(B) = 0.40, then, and P(A ∪ B) = 0.88, then P(B|A) = |
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Answer» If P(A) = 0.50, P(B) = 0.40, then, and P(A∪B) = 0.88, then P(B|A) = Solution: |
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| 6077. |
Find the first six terms of the sequence. a1 = 7, an= an - 1+ 6 |
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Answer» Find the first six terms of the sequence. a1 = 7, an= an - 1+ 6 Solution: |
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| 6078. |
Differentiate sin-1x |
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Answer» The differentiation of sin-1x is 1/⎷(1-x2). Inverse trigonometric functions are the inverse ratios of the basic trigonometric ratios. |
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| 6079. |
A factor tree is shown for √1225 what is the simplest form |
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Answer» A factor tree is shown for √1225 what is the simplest form
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| 6080. |
Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = -12/5 , x in quadrant II |
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Answer» Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = -12/5 , x in quadrant II Solution: |
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| 6081. |
Find a function that models the radius r of a circle in terms of its area A. |
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Answer» Find a function that models the radius r of a circle in terms of its area A. Solution: |
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| 6082. |
Find the exact length of the curve:y = 4 + 2x3/2, 0 ≤ x ≤ 1? |
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Answer» The exactlength of the curvey = 4 + 2x3/2, 0 ≤ x ≤ 1, is 2.2683 units. We are going to use the formula of the exact length of the curve to solve this. |
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| 6083. |
6 bananas are to be selected from a group of 8. In how many ways can this be done? |
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Answer» 6 bananas are to be selected from a group of 8. In how many ways can this be done? Solution: |
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| 6084. |
Find the quotient. (5x4 - 3x2 + 4) ÷ (x + 1) |
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Answer» Find the quotient. (5x4 - 3x2 + 4) ÷ (x + 1) Solution: |
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| 6085. |
You randomly select one card from a 52-card deck. Find the probability of selecting an ace or a 9? |
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Answer» You randomly select one card from a 52-card deck. Find the probability of selecting an ace or a 9? Solution: |
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| 6086. |
Three dots placed in a set to show that the set continues in the same manner is called___ |
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Answer» Three dots placed in a set to show that the set continues in the same manner is called___ Solution: |
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| 6087. |
Find all polar coordinates of point p where p = (7, pi/3) |
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Answer» Find all polar coordinates of point p where p = (7, pi/3) Solution: |
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| 6088. |
Prove that 4-5√3is an irrational number |
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Answer» Henceproved that 4-5√3is an irrational number 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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| 6089. |
What fraction of a day is 8 hours? |
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Answer» 1/3rd of a day is 8 hours. Days and hours are units to measure time. |
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| 6090. |
Which equations have a leading coefficient of 3 and a constant term of -2? check all that apply. 0 = 3x2 + 2x - 2 0 = -2 - 3x2 + 3 0 = -3x + 3x2 - 2 0 = 3x2 + x + 2 0 = -1x - 2 + 3x2 |
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Answer» Which equations have a leading coefficient of 3 and a constant term of -2? check all that apply. Solution: |
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| 6091. |
Simplify (6x2 - 3 - 5x3) - (4x3 + 2x2 - 8). |
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Answer» Simplify (6x2 - 3 - 5x3) - (4x3 + 2x2 - 8). Solution: |
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| 6092. |
Find the circumference of a circle with diameter of 22 units. |
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Answer» The circumference of a circle with diameter of 22 units is approximately equal to 69.08 units. Diameter of a circle is the largest chord that is passing through the centre. |
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| 6093. |
The height h in meters of an object varies with time 't' in seconds as h = 10t - 5t2 . Then the maximum (in m) height attained by the object is? |
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Answer» The height h in meters of an object varies with time 't' in seconds as h = 10t - 5t2 . Then the maximum (in m) height attained by the object is? Solution: |
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| 6094. |
Which property of addition is shown below? If x = a + bi and y = -a - bi, x + y = 0. |
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Answer» Which property of addition is shown below? If x = a + bi and y = -a - bi, x + y = 0. Solution: |
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| 6095. |
What is the amplitude, period, and phase shift of f(x) = -4 sin(2x + π) - 5? |
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Answer» What is the amplitude, period, and phase shift of f(x) = -4 sin(2x + π) - 5? Solution: |
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| 6096. |
Find the variance of the binomial distribution for which n = 800 and p = 0.87. |
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Answer» Find the variance of the binomial distribution for which n = 800 and p = 0.87. Solution: |
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| 6097. |
Find the H.C.F of the following numbers: (a) 18, 48 (b) 30, 42 (c) 18, 60 (d) 27, 63 (e) 36, 84 (f) 34, 102 (g) 70, 105, 175 (h) 91, 112, 49 (i) 18, 54, 81 (j) 12, 45, 75 |
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Answer» Answer : HCF is the greatest number that exactly divides two or more given numbers. First, we find theprime factorizationof each number and find the common prime factors of those numbers. Then, we find the HCF of those numbers by finding the product of the prime factors that are common to each of the given numbers. |
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| 6098. |
What is the slope of the line 6x + 8y = 12? |
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Answer» What is the slope of the line 6x + 8y = 12? Solution: |
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| 6099. |
Calculate the surface area of a cube of edge 4 cm.What is the volume? |
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Answer» The surface area of the cube is 96cm2and the volume of the cube is 64 cm3. The volume of a cube can be easily calculated by just using the length of the edge of the cube. |
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| 6100. |
Find two unit vectors that make an angle of 60° with v = 8, 6 |
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Answer» Find two unit vectors that make an angle of 60° with v = 8, 6 Solution: |
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