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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.
| 5651. |
How is cos(-x) = cos(x) ? |
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Answer» cos(-x) = cos(x) Trigonometric ratiosdeal with the relation between the angles and sides of a triangle. |
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| 5652. |
Given: f(x) = x - 7 and h(x) = 2x + 3. Write the rule for h(f(x)). |
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Answer» Given: f(x) = x - 7 and h(x) = 2x + 3. Write the rule for h(f(x)). Solution: |
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| 5653. |
Divide 2x2 + 17x + 35 by x + 5. |
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Answer» Divide 2x2 + 17x + 35 by x + 5. Solution: |
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| 5654. |
Which property of multiplication is shown below? If x = a + bi and y = c + di, x × y = y × x. . . Commutative property, Identity property, Distributive property, Associative property |
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Answer» Which property of multiplication is shown below? If x = a + bi and y = c + di, x × y = y × x. . . Commutative property, Identity property, Distributive property, Associative property Solution: |
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| 5655. |
If you toss a coin 4 times, what is the probability of getting all heads? |
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Answer» If you flip a coin 4times, the probability of getting all heads is 1/16. Probability is defined as how likely an event is to occur. |
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| 5656. |
Which polynomial is prime? x⁴ + 3x² - x² - 3 x⁴ - 3x² - x²+ 3 3x² + x - 6x - 2 3x²+ x - 6x + 3 |
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Answer» Which polynomial is prime? x⁴ + 3x² - x² - 3, x⁴ - 3x² - x²+ 3, 3x² + x - 6x - 2, 3x²+ x - 6x + 3 Solution: |
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| 5657. |
The average age of everyone in the class is an example of what type of statistics? |
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Answer» The average age of everyone in the class is an example of descriptive statistics. We will use the concept of statistics in order to find the required answer. |
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| 5658. |
What is the coefficient of the last term in the binomial expansion of (x + 1)9? |
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Answer» What is the coefficient of the last term in the binomial expansion of (x + 1)9? Solution: |
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| 5659. |
8, 9, 10, or11? |
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Answer» Total no of terms in the binomial expansion of (3x + 5)9= 10 We will use the concept of binomial expansion in order to find the number of terms. |
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| 5660. |
How many terms are in the binomial expansion of (3x + 5)9? |
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Answer» Total no of terms in the binomial expansion of (3x + 5)9= 10 We will use the concept of binomial expansion in order to find the number of terms. |
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| 5661. |
What is 0 to the 0 power? |
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Answer» 0 to the 0 power, that is, 00= 1 or undefineddepending on context. 0 to the 0 power can be rewritten as 00. |
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| 5662. |
Two coins are tossed simultaneously. Find the probability of getting Head on one coin and Tail on the other coin. |
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Answer» Two coins are tossed simultaneously. Find the probability of getting Head on one coin and Tail on the other coin. Solution: |
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| 5663. |
Find out the values of angles 120,-135,150,180,270 for all the six trigonometric ratios. |
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Answer» Table with all 6 trignometric ratios has been given below for all the angles. We can make use of conversions from one trigonometric ratio to another to find these values. |
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| 5664. |
Determine which polynomial is a difference of two squares. x2 + 14,x2 -14,x2 + 49,x2 - 49 |
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Answer» Determine which polynomial is a difference of two squares. Solution: |
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| 5665. |
Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from point (1, 0) |
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Answer» Find the points on the ellipse 4x2+ y2= 4 that are farthest away from point (1, 0) Solution: |
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| 5666. |
Of the 600 workers at a factory, 8.5% belong to a union. How many workers are in the union? |
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Answer» Of the 600 workers at a factory, 8.5% belong to a union. How many workers are in the union? Solution: |
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| 5667. |
Use this equation to find dy/dx. 7y cos(x) = x2 + y2 |
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Answer» Use this equation to find dy/dx. 7y cos(x) = x2+ y2 Solution: |
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| 5668. |
Find the dot product, a • b. a = 6i + 5j, b = -5i + 4j? |
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Answer» Find the dot product, a • b. a = 6i + 5j, b = -5i + 4j? Solution: |
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| 5669. |
Which statement about -2h2 - 15h - 7 is true? One of the factors is (h + 2). One of the factors is (3h - 2). One of the factors is (2h + 1). One of the factors is (h - 7). |
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Answer» Which statement about -2h2 - 15h - 7 is true? Solution: |
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| 5670. |
The LSA (lateral surface area) of a cube of side 1 cm is: (1) 16cm2(2) 4cm2(3) 2cm2(4) 1cm2 |
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Answer» The LSA (lateral surface area) of a cube of side 1 cm is4cm2 Thelateral surface areaconsists of the area of four walls of a cubeadded together, or 4 times the area of one of thecube'sfaces. |
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| 5671. |
Find the area of a triangle with a base length of 6 units and a height of 7 units. |
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Answer» Find the area of a triangle with a base length of 6 units and a height of 7 units. Solution: |
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| 5672. |
Choose the equation that could be used to find three consecutive integers whose sum is 36. n + (n + 2) + (n + 4) = 36 n + (n + 1) + (n + 3) = 36 n + (n + 1) + (n + 2) = 36 n + (n - 1) + (n - 3) = 36 |
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Answer» Choose the equation that could be used to find three consecutive integers whose sum is 36. Solution: |
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| 5673. |
Prove that: sin (C + D) ×sin (C-D) = sin2C - sin2D |
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Answer» sin(C+D) sin(C-D) = sin2 C– sin2 D Trigonometric Ratiosis a branch of mathematics that deals with the relation between the angles and sides of a triangle. |
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| 5674. |
If angle B measures 25°, what is the approximate perimeter of the triangle below? A right triangle is shown. Angle A is 90 degrees and angle B is 25 degrees. Side AB has a length of 4. |
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Answer» If angle B measures 25°, what is the approximate perimeter of the triangle below? A right triangle is shown. Angle A is 90 degrees and angle B is 25 degrees. Side AB has a length of 4. Solution: |
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| 5675. |
If f(x) = 3x and g(x) = 1/3x, which expression could be used to verify that g(x) is the inverse of f(x)? 3x(x/3),(1/3x)(3x),1/3(3x),1/3(1/3x) |
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Answer» If f(x) = 3x and g(x) = 1/3x, which expression could be used to verify that g(x) is the inverse of f(x)? Solution: |
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| 5676. |
Identify all of the following solutions of square root of x plus 14 end root plus 2 equals x. x = -6,x = -1,x = -6 and x = -1, None of the above |
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Answer» Identify all of the following solutions of square root of x plus 14 end root plus 2 equals x. Solution: |
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| 5677. |
What is 1 to the power of 4? |
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Answer» 1 to the power of 4is 1. The exponent of any number represents how many times we have to use the number in a multiplication.1 to the power of anything is 1. |
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| 5678. |
Evaluate 1 + sin x /1-sin x |
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Answer» (1+sinx) /(1-sinx) =(sec x + tan x )2 Trignometric ratios is the study of the relation between the sides and anglesof a right-angled triangle. |
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| 5679. |
How many lakhs make a million? |
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Answer» Ten lakhs make a million. We use lakhs in the Indian Numeral System and million in the International Numeral System. |
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| 5680. |
How much has the value of y changed between the points (-8, 4) and (8, -4)? |
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Answer» How much has the value of y changed between the points (-8, 4) and (8, -4)? Solution: |
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| 5681. |
What is the simplified form of the fourth root of x squared times the fourth root of x squared? |
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Answer» What is the simplified form of the fourth root of x squared times the fourth root of x squared? Solution: |
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| 5682. |
How to tell if a function is increasing or decreasing by calculus? |
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Answer» Afunction with a positive value of the derivative is increasing and vice versa. The derivability of a function is nothing but the slope of the function at each point on the graph. |
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| 5683. |
Determine whether the geometric series is convergent or divergent. 10 - 2 + 0.4 - 0.08 + ... If it is convergent, find its sum. |
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Answer» Determine whether the geometric series is convergent or divergent. 10 - 2 + 0.4 - 0.08 + ... If it is convergent, find its sum. Solution: |
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| 5684. |
What is 4/25as a decimal? |
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Answer» 4/25as a decimal is equal to 0.16. Thefractionsanddecimalsare just two ways to represent the same number. |
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| 5685. |
How to use the graph to determine if the function is even, odd, or neither? |
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Answer» To determine whether if a particular function is even, odd, or neither, we check its symmetry about the y-axis or the origin of the graph. Functions are a very integral part of almost every field in mathematics. There can be different types of functions like quadratic, cubic, biquadratic, etc. Functions can be represented in graphs. They can be even, odd, or neither. Let's see how we can determine if a particular function is even, odd, or neither. |
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| 5686. |
y = 2x + 3, 2y = 4x + 6 the system of equations has _____ solution(s). |
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Answer» y = 2x + 3, 2y = 4x + 6 the system of equations has _____ solution(s). Solution: |
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| 5687. |
What is the midpoint of the x-intercepts of f(x) = (x - 4)(x + 4)? (0,0); (0,4); (-4,0); (2,0) |
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Answer» What is the midpoint of the x-intercepts of f(x) = (x - 4)(x + 4)? (0,0); (0,4); (-4,0); (2,0) Solution: |
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| 5688. |
What are metric units? Explain with examples. |
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Answer» The measurement units in the metric system are metric units for measuring length, weight, capacity, time, temperature, etc. The metric system of measurement in mathematics is the set of standard units defined to measure length, weight, and capacity. |
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| 5689. |
A rectangular solid has sides of 4 cm, 6 cm, and 8 cm. What is its surface area? |
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Answer» A rectangular solid has sides of 4 cm, 6 cm, and 8 cm. What is its surface area? Solution: |
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| 5690. |
Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher. How old is Ishann? |
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Answer» Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher. How old is Ishann? Solution: |
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| 5691. |
Find the value of sin 15 using sin 30. |
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Answer» The value of sin 15 using sin 30is (√3−1)/2√2 We can find the value of sin 15using the value ofsin 30. |
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| 5692. |
What number would you add to both sides of x2 + 7x = 4 to complete the square? |
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Answer» What number would you add to both sides of x2 + 7x = 4 to complete the square? Solution: |
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| 5693. |
What is a feasible region? |
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Answer» The feasible region is the common region determined by all the constraints in the linear programming problem. The term feasible region is mostly used in a linear programming problem. |
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| 5694. |
What is The HCF of any two consecutive even numbers? |
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Answer» The HCF of any two consecutive even numbers is always 2. The Highest Common Factor (HCF) of two numbers is the highest possible number which divides both the numbers exactly. |
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| 5695. |
The equation of the parabola whose focus is at (0, 5) and directrix at y = -5 is |
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Answer» The equation of the parabola whose focus is at (0, 5) and directrix at y = -5 is Solution: |
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| 5696. |
Find a.b if |a| = 3, |b| = 14, and the angle between a and b is 45°. |
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Answer» Find a.b if |a| = 3, |b| = 14, and the angle between a and b is 45°. Solution: |
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| 5697. |
Which equation represents a circle with a center at (-3, -5) and a radius of 6 units? (x - 3)2 + (y - 5)2= 6 (x - 3)2+ (y - 5)2= 36 (x + 3)2+ (y + 5)2= 6 (x + 3)2+ (y + 5)2= 36 |
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Answer» Which equation represents a circle with a center at (-3, -5) and a radius of 6 units? Solution: |
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| 5698. |
If a new shirt costs $34.99 and the sales tax is $2.10, the sales tax rate is 2 percent,4 percent,6 percent,8 percent |
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Answer» If a new shirt costs $34.99 and the sales tax is $2.10, the sales tax rate is Solution: |
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| 5699. |
What is 1/2of 1/2? |
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Answer» 1/2of 1/2is 1/4. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. 'Of' is commonly used in word problems and simply means multiplication. |
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| 5700. |
How do you prove tan (2x) = (2tan (x) ) / (1-tan2x) ? |
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Answer» LHS = 2tan(x) / 1- tan2(x) = (2tan (x) ) / (1-tan2 x) = RHS Prove tan(2x) = 2tan(x)/ 1- tan2(x) |
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