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.
| 3901. |
Find the product of z1 and z2, where z1 = 7(cos40° + i sin40°) and z2 = 6(cos145° + i sin145°). |
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Answer» Find the product of z1and z2, where z1= 7(cos40° + i sin40°) and z2= 6(cos145° + i sin145°). Solution: |
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| 3902. |
In ∆ABC, AC = 15 centimeters, ∠B = 68°, and ∠C = 24°. What is BC to two decimal places? 6.58 cm, 9.88 cm,13.57 cm,16.17 cm,19.25 cm |
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Answer» In ∆ABC, AC = 15 centimeters,∠B = 68°, and∠C = 24°. What is BC to two decimal places? Solution: |
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| 3903. |
How to integrate (ln x)2? |
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Answer» Thefinal integral of (ln x)2 is x (ln x)2− 2x ln x + 2x + C. To findIntegration of (ln x)2, we will use integration by parts method. |
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| 3904. |
What is the factored form of 2x2 - 7x + 6? |
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Answer» What is the factored form of 2x2 - 7x + 6? Solution: |
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| 3905. |
Solve 2x + 5y = -13 and 3x - 4y = -8 |
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Answer» Solve 2x + 5y = -13 and 3x - 4y = -8 Solution: |
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| 3906. |
If f(n)(0) = (n+1)! for n = 0,1,2,., find the Maclaurin series for f and its radius of convergence. |
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Answer» If f(n)(0) = (n+1)! for n = 0,1,2,., find the Maclaurin series for f and its radius of convergence. Solution: |
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| 3907. |
How much is a Pint? |
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Answer» 1 pint equals 473.179 milliliters. Pint is a measure of unit volume or capacity. |
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| 3908. |
Meters per Second to Miles per Hour |
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Answer» 1 meter per second equals 2.237 miles per hour Meters per second and miles per hour are units used to measure speed. |
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| 3909. |
Prove that root 2 is an irrational number. |
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Answer» Hence proved that√2 is an irrational number with 2 as a common multiple. 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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| 3910. |
Solve log11(y + 8) + log114 = log1160 |
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Answer» Solve log11(y + 8) + log114 = log1160 Solution: |
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| 3911. |
If f(x) = 2x + e3x + tan(x) and g is the inverse of f(x), determine g′(1). |
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Answer» If f(x) = 2x + e3x + tan(x) and g is the inverse of f(x), then g'(1) = 1/6 We will use the concept of inverse function in order to find the required answer. |
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| 3912. |
Solve for x: 3 − (2x − 5) < −4(x + 2) |
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Answer» The solution to the given inequality is x < -8 When one expression is greater than or less than another expression, we have inequality. |
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| 3913. |
Find the sum of the 2i-12 from i =7 to i = 16. |
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Answer» Find the sum of the2i-12 fromi=7 to i = 16. Solution: |
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| 3914. |
What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m? |
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Answer» What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m? Solution: |
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| 3915. |
How many pints in agallon? |
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Answer» 1 gallon is 8 pints. A gallon is a unit for measuring a liquid or gas volume and is equal to approximately 4.55 liters. |
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| 3916. |
Find the general solution of the given differential equation. x (dy/dx) + 6y = x3 - x |
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Answer» Find the general solution of the given differential equation. x (dy/dx) + 6y = x3- x Solution: |
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| 3917. |
If a is a rational number and b is an irrational number, then the sum a + b is A) rational. B) imaginary. C) irrational. D) an integer. |
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Answer» If a is a rational number and b is an irrational number, then the sum a + b is A) rational. B) imaginary. C) irrational. D) an integer. Solution: |
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| 3918. |
Prove that the sum of the measures of the interior angles of a triangle is 180º. |
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Answer» Hence, it is proved that the sum of the measures of the interior angles is 180º. A triangle is a polygon with three sides, three angles, and three vertices. |
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| 3919. |
Find the exact length of the curve:y = 3 + 4x3/2, 0 ≤ x ≤ 1? |
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Answer» Theexact length of the curve is 4.15. The exact length of a curve is a geometrical concept that addressed by integral calculus. It is a method for calculating the exact lengths of line segments. |
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| 3920. |
How many feet in aMeter? |
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Answer» 1 meter is 3.28084 feet. Meter is the base unit of length in the International System of Units (SI). |
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| 3921. |
How long would it take to count to a quadrillion? |
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Answer» To count1 quadrillion it would take around 31.688 million years at the rate of 1 count per second. According to the international place value system, 1 quadrillion is equal to 1000 trillion which is equal to 1000000 billion. |
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| 3922. |
How many cubic units is a box that is 3 units high? |
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Answer» Abox that is 3 units high would be 27 cubic units Thecubic units the box would occupy can be calculated by finding out the volume of the box |
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| 3923. |
What value of x is in the solution set of -5x - 15 > 10 + 20x? -2, -1, 0, 1 |
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Answer» What value of x is in the solution set of -5x - 15 > 10 + 20x? -2, -1, 0, 1 Solution: |
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| 3924. |
a) -3 + y = 7 b) b ÷ (-2) = 18 c) (x + 2)(x - 3) = 0 d) m + 7 = -12 |
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Answer» Option b)-The multiplication property of equality could be used to solve the equationb ÷ (-2) = 18. Let's look into the options to answer this. |
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| 3925. |
The multiplication property of equality could be used to solve which of the following equations? Choose the correct option. |
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Answer» Option b)-The multiplication property of equality could be used to solve the equationb ÷ (-2) = 18. Let's look into the options to answer this. |
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| 3926. |
Write as aMixed Number in Simplest Form I) 7/4 Il) 11/4 |
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Answer» Write as aMixed Number in Simplest Form I) 7/4 Il) 11/4 Soluion: |
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| 3927. |
For an angle θ with the point (-5, -12) on its terminating side, what is the value of cosine? |
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Answer» For an angle θ with the point (-5, -12) on its terminating side, what is the value of cosine? Solution: |
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| 3928. |
How Many Meters in a Kilometer |
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Answer» 1 Kilometer is equal to 1000 Meters. Kilometer and meter are units used to measure length. |
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| 3929. |
If two events are mutually exclusive, what is the probability that both occur at the same time? |
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Answer» If two events are mutually exclusive, then the probability that both occur at the same time is zero. Mutually exclusive events are those which do not occur together, or at the same time. |
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| 3930. |
How many meters in aMile? |
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Answer» 1 mile is 1609.34 meters. The word mile is originated from the roman word mille passus, which means 5,000 roman feet. |
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| 3931. |
Find an equation in standard form for the hyperbola with vertices at (0, ± 2) and foci at (0, ± 11). |
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Answer» Find an equation in standard form for the hyperbola with vertices at (0, ±2) and foci at (0, ±11). Solution: |
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| 3932. |
What are rational functions? |
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Answer» Rational functions are those functions that are the ratio of two polynomials where the polynomial in the denominator is not equal to zero. Rational functions are those functions that are the ratio of two polynomials where the polynomial in the denominator is not equal to zero. Rational functions have many different applications in the field of mathematics as well as in many branches of science and engineering. Let's delve deeper into this topic in this blog. |
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| 3933. |
What is the value of p in the linear equation 24p + 12 -18p = 10 + 2p -6? |
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Answer» What is the value of p in the linear equation 24p + 12 -18p = 10 + 2p -6? Solution: |
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| 3934. |
What value of x is in the solution set of - 2(3x + 2) > - 8x + 6? -6, -5, 5, 6 |
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Answer» What value of x is in the solution set of - 2(3x + 2) > - 8x + 6? -6, -5, 5, 6 Solution: |
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| 3935. |
Select the equations of the lines that are parallel to the line whose equation is y= 3x +5? 6x + 2y = 12, -3x + y = 8, 3y = 9x, y = -1/3x |
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Answer» Select the equations of the lines that are parallel to the line whose equation is y= 3x +5? 6x + 2y = 12, -3x + y = 8, 3y = 9x, y = -1/3x Solution: |
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| 3936. |
Which of the following constants can be added to x2 - 3x to form a perfect square trinomial? 1 1/2,2 1/4,4 1/2 |
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Answer» Which of the following constants can be added to x2- 3x to form a perfect square trinomial? Solution: |
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| 3937. |
Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5? |
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Answer» Which phrase best describes the translation from the graph y = 2x2to the graph of y = 2x2+ 5? Solution: |
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| 3938. |
What is the prime factorization of 729? |
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Answer» What is the prime factorization of 729? Solution: |
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| 3939. |
Find the ordered pair which is a solution of the equation 2x - y = 9? |
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Answer» Find the ordered pair which is a solution of the equation 2x - y = 9? Solution: |
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| 3940. |
How can wewrite the equation of a sphere in standard form? |
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Answer» The equation of a sphere in standard formis x2+ y2+ z2= r2. A sphere is a three dimensional object. It's distance is same from any fixed point and is always a constant. |
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| 3941. |
Write an expression that evaluates to true if the value x is greater than or equal to y |
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Answer» Write an expression that evaluates to true if the value x is greater than or equal to y Solution: |
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| 3942. |
How to write this in number - Eleven thousand eleven hundred? |
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Answer» Eleven thousand eleven hundred is written as12,100 in the numeral form. Numbers can be expanded in different forms according to their place values. They are expanded in words and in numerals. |
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| 3943. |
Express 8 divided by 5 as a fraction. |
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Answer» The value of 8divided by 5as a fraction is 1⅗. 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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| 3944. |
What is 11/3 in a Mixed Number? |
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Answer» 11/3 in mixed fraction is \(3\dfrac{2}{3}\) 11/3 is an improper fraction. it can be represented as a mixed number with a whole number part and a fractional part. |
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| 3945. |
How to find the radius of a circle with a chord? |
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Answer» The radius of a circle with a chord isr=√(l2+4h2) / 2, where'l' is the length of the chordand'h' isthe perpendicular distance from the center of the circle to the chord. In a circle,thedistance from the center point of a circle to its circumference or any endpoint on the circle is called the radius of a circle. It can also be defined as the length of the line segment from the center of a circle to a point on the circumference of a circle. |
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| 3946. |
If s(x) = 2x2 + 3x - 4, and t(x) = x + 4 then s(x) · t(x) = |
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Answer» If s(x) = 2x2 + 3x - 4, and t(x) = x + 4 then s(x) · t(x) = Solution: |
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| 3947. |
1 cusec is equal to how many litres? |
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Answer» 1 Cusec = 28.32 Litres Cusec is a unit of flow (especially of water) that is equal to one cubic foot per second. |
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| 3948. |
Solve the system of solutions using elimination 3x - 4y = 9 and -3x + 2y = 9 |
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Answer» Solve the system of solutions using elimination 3x - 4y = 9 and -3x + 2y = 9 Solution: |
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| 3949. |
What is counting principle? Explain with uses. |
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Answer» The fundamental counting principle is a rule to count all the possible ways for an event to happen or the total number of possible outcomes in a situation. The counting principles are related tothe total number of possible combinations. |
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| 3950. |
What is the HCF of 391, 425, and 527 by division method? |
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Answer» The HCF of 391, 425, and 527 by division method is 17. The highest common factorof two numbers is the largest possible number which divides both the numbers exactlywithout any remainder. |
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