Explore topic-wise InterviewSolutions in .

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.

5951.

Angle a is a right angle in △ABC. Which side is opposite angle C?

Answer» In the above triangle△ABC, the side opposite to angle Cis AB.

5952.

What is the basic unit of mass in the metric system

Answer» The basic unit of mass in the metric systemis the gram.

There are many systems of measurement in the world that are used to measure different types of quantities.

5953.

A car traveling with constant speed travels 150km in 7200s. What is the speed of the car?

Answer» A car traveling with constant speed travels 150km in 7200s. What is the speed of the car?

Solution:

5954.

Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers?

Answer» The given numbers have more than 2 factors. Therefore, they are composite numbers.

Composite numbers can be defined asnatural numbersthat have more than two factors. In other words, a number that is divisible by a number other than 1 and the number itself, is called a composite number.

5955.

The measures of the angles of a triangle are in the extended ratio 2: 2: 8. What is the measure of the smallest angle?

Answer» For the angles of a triangle given in the ratio2: 2: 8, the measure of the smallestangle of the triangleis30º.

A triangle is a polygon with three sides, three angles, and three vertices. The sum of interior angles of a triangle is 180º.

5956.

Eliminate the parameter. x = 3t, y = t + 7

Answer» Eliminate the parameter. x = 3t, y = t + 7

Solution:

5957.

Solve for x: 2|3x - 2| = 14

Answer» Solve for x: 2|3x - 2| = 14

Solution:

5958.

Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2). f(x) = 3x + 1 f(x) = 3x - 1 f(x) = 8x + 10 f(x) = 8x - 10

Answer» Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2).
f(x) = 3x + 1 f(x) = 3x - 1 f(x) = 8x + 10 f(x) = 8x - 10

Solution:

5959.

The product of (3 + 2i) and a complex number is (17 + 7i). What is the complex number?

Answer» The product of (3 + 2i) and a complex number is (17 + 7i). What is the complex number?

Solution:

5960.

What is one-third plus one-third?

Answer» One-third plus one-third is1/3 + 1/3 = 2/3.

The question is based on the addition of fractions.

5961.

What are the x-intercepts of the graph of the function f(x) = x2 + 5x - 36?

Answer» What are the x-intercepts of the graph of the function f(x) = x2 + 5x - 36?

Solution:

5962.

24 is 60% of what number?

Answer» 24 is 60 percent of the number 40

Percentage is a fraction or a ratio in which the value of the whole is always 100

5963.

How to find the volume of a cone in terms of π?

Answer» (1/3) r2h πcubic units.

A cone is a three-dimensional solid object which is having a circle at one end and a pointed end at the other. The π is an irrational number usually approximated to3.14 and its symbol isπ. Volumeis the measure of thecapacity that an object holds.

5964.

What is the measure of an interior angle of a regular octagon?

Answer» The measure of an interior angle of a regular octagon is135°.

A regular octagonhas eight equal sides and eight equal angles.

5965.

What is the area of the shaded sector of the circle?

Answer» The area of the shaded sector of the circle is A = (θ / 2)×r2whereθ is in radians or(θ / 360)×πr2whereθ is in degrees.

We will use the concept of the sector of the triangle to find the area of the shaded sector of the circle.

5966.

What is a negative times a positive?

Answer» Negative times positive is negative. (-) × (+) = (-)

The knowledge of positive numbers and negative numbers is useful for multiplying integers.

5967.

Solve x2 + 12x + 6 = 0 using the completing-the-square method.

Answer» Solve x2+ 12x + 6 = 0 using the completing-the-square method.

Solution:

5968.

If a pentagon is a regular pentagon, then what is the measure of each interior angle?

Answer» If a pentagon is a regular pentagon, then the measure of each interior angle is 108 degrees.

Pentagons are 5-sided polygons. A pentagon with all equal angles and sides is known as a regular pentagon. Let's find the measure of each interior angle of a pentagon.

5969.

Simplify the given expression below: (1 + 3i) + (2 - 5i).

Answer» Simplify the given expression below: (1 + 3i) + (2 - 5i).

Solution:

5970.

Solve the following system of equations using substitution: y = 3x + 2, y = 4x - 7. What is the value of y?

Answer» The solution to the system of equations given is (9, 29) in the form of (x, y). The value of y is 29.

Linear equations are equations that have a degree of one. They are useful in calculations. They have at most one root, that is, they can cut the x-axis only once but not necessarily. They also have a constant slope at each point.

5971.

Find tan θ if cos θ = one divided by four and sin θ < 0.

Answer» Find tan θ if cos θ = one divided by four and sin θ < 0.

Solution:

5972.

What is the axis of symmetry of h(x) = -2x2 + 12x - 3? x = -15,x = -3,x = 3,x = 15

Answer» What is the axis of symmetry of h(x) = -2x2+ 12x - 3?

Solution:

5973.

A complex number is a number of the form a + bi wherea is the real part and b is the imaginary part. Write 1/(7 + 24i)in the form of a + bi.

Answer» The expression1/(7 + 24i)can be written as 7 / 625- 24i / 625.

Complex numbers are those numbers that can'tbe represented on the cartesian plane or the number line. They have many applications in electrical engineering as well as many other fields of engineering.

5974.

What is .33333 as a fraction?

Answer» 0.33333 as a fraction is 1/3.

Fractions are used to represent a part of a whole.

5975.

The sum of the measure of the interior angles of a polygon is 1080°. What polygon is it?

Answer» It is aregular octagon.

Apolygon that hasall sides of the same length and all angles of the same measureis called a regular polygon.The anglethat lies inside a polygonis called the interior angles.

5976.

What does a line over a letter mean in math?

Answer» The line over a letter in math could represent any of these: complement, bar, or vinculum.

Let's look into different possibilities of a line over a letter

5977.

What is the equation of the axis of symmetry for the graph of y = x2 - 2?

Answer» What is the equation of the axis of symmetry for the graph of y = x2- 2?

Solution:

5978.

Find f. f''(x) = x-2, x > 0, f(1) = 0, f(4) = 0.

Answer» Find f. f''(x) = x - 2, x > 0, f(1) = 0, f(4) = 0.

Solution:

5979.

Examine whether the following are polygons. If anyone among these arenot, say why?

Answer» The circle and the heart-shaped figure (options a and f) are not polygons as they are not made up of straight lines.

Examine whether the following are polygons

5980.

If the range of X is the set {0,1,2,3,4,5,6,7,8} and P(X=x) as defined in the following table:

Answer» If the range of X is the set {0,1,2,3,4,5,6,7,8} and P(X=x) as defined in the following table:

0.01252

5981.

What is the volume of a cone that has a base with a radius of 4 inches and a height of 12 inches?

Answer» What is the volume of a cone that has a base with a radius of 4 inches and a height of 12 inches?

Solution:

5982.

What is 0.04 as a percentage?

Answer» 0.04 as a percentage is 4%.

A percentageis a fraction or a ratio in which the value of the whole is always 100. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. In this question, we have to convert a decimal number to percent.

5983.

Find all polar coordinates of point p where p = ordered pair 3 comma negative pi divided by 4.

Answer» Find all polar coordinates of point p where p = ordered pair 3 comma negative pi divided by 4.

Solution:

5984.

One to the power of zero.

Answer» One to the power of zerois 1.

Any number raised to the power of zero is equal to 1.

5985.

Which ordered pair minimizes the objective function C = 60x + 85y? (0, 160), (55, 70), (80, 50), (170, 0)

Answer» Which ordered pair minimizes the objective function C = 60x + 85y?

Solution:

5986.

51 is 85% of What Number?

Answer» 51 is 85% of 60.

Percent is a ratio or a fraction in which the whole is always taken as 100.

5987.

What values of c and d make the equation true ∛(162xc y5) = 3x2y(∛6yd)

Answer» What values of c and d make the equation true ∛(162xc y5) = 3x2y(∛6yd)

Solution:

5988.

Four times the difference of a number and 7 is 12. Find the number.

Answer» If four times the difference of a number and 7 is 12, then the number is 10.

The question is based on a linear equation in one variable.

5989.

What is 10ml in Teaspoon?

Answer» 10 ml is equal to 2.02884 teaspoons.

Milliliter (ml) and teaspoon are two different measuring units used to measure weight or volume.

5990.

What does a triangular prism look like?

Answer» A triangular prism is a polyhedron, made up of two triangular bases and three rectangular sides.

A prism is a 3-dimensional solid object which has identical bases, flat faces, and the same cross-section all along its length.

5991.

How many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)? Zero,One,Two,Infinitely many

Answer» How many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)?

Solution:

5992.

Find f(x) and g(x) so that the function can be described as y = f(g(x)). Given y = (10)/(√(2x + 9). f(x) = 10 , g(x) = √(2x + 9) f(x) = 10/√(x) , g(x) = 2x + 9 f(x) = 10/x , g(x) = 2x + 9 f(x) = √(2x + 9) , g(x) = 10

Answer» Find f(x) and g(x) so that the function can be described as y = f(g(x)). Given y = (10)/(√(2x + 9).

Solution:

5993.

What are two different factor trees for 60?

Answer» The two differentfactor trees of 60 show the same prime factors of 60 which are 2, 2, 3, and 5.

We will use the factorization of 60 to draw the factor trees.

5994.

The table represents a linear function. What is the slope of the function?

Answer» The table represents a linear function. What is the slope of the function?

Solution:

5995.

What Are The Prime Numbers Between 40 and 50?

Answer» The prime numbers between 40 and 50 are 41, 43, and 47.

A prime number is a natural number greater than 1 and has only two factors, the number and 1.

5996.

Find an equation for the nth term of the arithmetic sequence. -3, -5, -7, -9, ...

Answer» The equation for the nth term of the arithmetic sequence-3, -5, -7, -9, ...... is -2n - 1.

In an arithmetic sequence, the difference between any two consecutive terms is the same throughout the sequence.

5997.

The numerator of a fraction is 3 less than its denominator. If we add 1 to both numerator and denominator it becomes equal to 1/2. Find the fraction

Answer» The required fractionis 2/5.

The fraction is a part of a whole expressed as N/D.

5998.

Line AB contains points A (-1, 3) and B (5, 3). Line AB has a slope that is Zero, Undefined, Positive, Negative

Answer» Line AB contains points A (-1, 3) and B (5, 3). Line AB has a slope that is

Solution:

5999.

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units. What is the height of the cylinder?

Answer» An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units. What is the height of the cylinder?

Solution:

6000.

What is the formula for the volume of a cone?

Answer» The formulafor the volume of a cone is V = 1/3 (πr2 h).

Basically, the amount of space occupied by a cone is considered the volume of a cone.