## maths interview questions: 20 Math Interview Questions (With Example Answers)

Question

1. If you have math-related job interview questions, we’ve got answers for you! We’ve compiled 20 example math interview questions into a list below. They range from basic algebra to calculus and beyond. Practice these sample math questions before your next job interview and nail the interview!

## 1. What is the minimum value of x in the following inequality?

• Solve the inequality.
• Write the solution in terms of x.
• Explain how you solved it

## 2. What is the solution of this equation?

The solution of this equation is x = 5.

Why? Because it satisfies the given equation, and it is in the set of solutions.

## 3. Solve this system of equations:

• Solve this system of equations:

2x+y=0

3x-y=-1

• x=y+z

## 4. Find all positive real numbers x that satisfy the given equation.

• Find all positive real numbers x that satisfy the given equation.

The first step is to solve the equation for x and then check if your solution is a rational number or not. If it is, then there will be only one possible value for x, which means that you can stop. If not, then take another look at your answer and try again!

Once you’ve found an integer solution (or no solutions), check if any of them are composite numbers (i.e., those with more than two prime factors). If so, replace each composite factor with its prime decomposition:

30240 = 2 * 3 * 5 * 7 * 11 * 13 * 17 = (2)(3)(5)(7)(11)(13)(17)

## 5. Solve this system of equations and find the maximum value for y.

• Solve this system of equations and find the maximum value for y.

x + y = 2

6 – x = 3y – 10

## 6. Find all real zeros of f(z) = cos(z) + 2sin(z).

• Use the complex number plane to find all real zeros of f(z) = cos(z) + 2sin(z).
• Find the real part of f(z) by drawing a vertical line through its graph, which intersects the horizontal axis at two points:
• The first point is (-1, 0). This is because cos(-1) = -1 and sin(-1) = 0; therefore, cos(-1)*sin(-1)=0. So this is a zero for our function, since it makes no contribution when we multiply them together to get 1/2.
• The second point where our vertical line intersects with the x-axis is not actually an x-intercept but rather an imaginary number (or complex conjugate). This can be seen by noting that if you add 1i onto any number x then you will get another number denoted by x + 1i (where i represents ). Therefore when we add 1i onto each side of our equation above we get:
• Set both sides equal to 0 so that we know where our zeros lie on both axes:

## 7. Find all solutions in rational numbers of the following system of equations, providing an explanation for each solution found (numbers may be negative or positive):

• Find all solutions in rational numbers of the following system of equations, providing an explanation for each solution found (numbers may be negative or positive):
• 2x – 3y = 0
• 4x + 5y = 4

## 8. Find all prime factors of 30240=2^2*3^2*5^2*7*13^2; explain why there are no other prime factors besides those given here; mention how many factors are prime numbers; relate the number 30240 to any other number you like; give examples of composite numbers that have more prime factors than 30240 has

This question can be answered with the following steps:

• Find all prime factors of 30240=2^2*3^2*5^2*7*13^2;
• Explain why there are no other prime factors besides those given here;
• Mention how many factors are prime numbers; relate the number 30240 to any other number you like (make sure it’s related somehow); give examples of composite numbers that have more prime factors than 30240 has

Hopefully, with these questions, you’ve been able to test out your math skills and see how they would fare in an interview setting. If there’s anything else we missed, please let us know!

2. # maths interview questions: 20 Math Interview Questions (With Example Answers)

## Introduction

Math questions are a big part of many job interviews, but they can be difficult to prepare for. You may need to brush up on your basic math skills or do some practice problems before an interview. Below are some common types of math questions that you might encounter in a job interview:

## 1. What is an integer?

An integer is any number that can be written without a decimal point. Numbers like 2, 3, 4 and so on are all integers. Integers are also called whole numbers because they don’t have any fractional parts; they’re just one number (or 0). The opposite of an integer is a fractional number or decimal–for example, 1/2 or 0.5

## 2. What is the LCM of two integers?

The LCM of two integers is the smallest number that can be divided by all the numbers. For example, 5 and 7 are prime factors of 21, so their LCM is 5 * 7 = 35.

The LCM of three integers is the product of their LCMs. For example, 25 = 5 * 5 * 3 and 35 = 3 * 7 * 9; therefore 25/35 ~= 1/2 (approximately).

## 3. What is the greatest common factor of two numbers?

To find the greatest common factor (GCF) of two numbers, you must first know how to find prime factorization. Then divide each number by all its factors until you reach one or zero as a remainder. The largest number that divides both numbers is considered their GCF.

If you need help with this process, use an online calculator like Wolfram Alpha or Mathway to get an answer quickly and easily!

## 4. Find the LCM of 12 and 15.

The LCM of 12 and 15 is 30.

For example, if you have three numbers that are all multiples of each other and you want to find the biggest one, LCM will help you do that. If we have three numbers 10, 15 and 20 then their LCM is 60 because 60 is a multiple of 10,15 and 20.

## 5. Find the GCF of 18 and 30.

The GCF of two numbers is the largest number that divides both of them. To find the GCF, you can either use long division or a calculator. Long division works by dividing one number by another and then finding out what number divides evenly into both numbers.

To find the GCF of 18 and 30:

• Divide 18 into 30: 3 goes into 6 times, so 3 is our first common factor (CF). Our CFs are 3, 6 and 9; we want to choose only one CF so we will exclude 6 because it already appears in our list of CFs–that would be double-counting! So our final answer will be 9.

## 6. Find the LCM of 96, 80, and 70 using long division method.

The LCM of 96, 80, and 70 is 4200. To find the LCM using long division method:

• Divide 96 by 4 to get 24 as quotient and remainder 8. 2. Divide 80 by 4 to get 20 as quotient and remainder 0 3. Divide 70 by 4 to get 14 as quotient and remainder 2
• Add up all the remainders from above steps i.e., 8 + 0 + 2 = 10 5/6th (10/6) = 5/3rds 6 3/4ths (6*3/4) = 1 1/4th 7 1/2ths (7*1/2) = 3 1/8ths 8 9/12ths (8*9/) = 6 9-12ths 9 27-36ths 10 12-16ths 11 26-32nd

## 7. Find the LCM of 42, 36, 21, and 27 using long division method

The LCM of 42, 36, 21, and 27 is the product of their lowest common multiples. The lowest common multiple (LCM) of a set of numbers is the smallest number that is divisible by each of them. This means that if you have two or more numbers, their LCM will be the highest number that any one member can divide into all other members of the group. The long division method involves dividing each individual digit in one column by its corresponding digit in another column until they are all reduced down to zeroes at which point you know your answer has been found because no further divisions are possible without producing whole numbers again (and we want our answers to be whole).

## 8. There are four numbers (x, y, z, w) such that x + y + z + w = 26. Prove that xyzw = 72.

This question is actually very straightforward. You can use the distributive property, which states that a(b + c) = ab + ac. Then you have xyzw = (x)(26) + (y)(26) + (z)(26) + (w)(26). Since we know that xyzw = 72, we can write our equation like this:

(x)(26) + (y)(26) + (z)(26) + (w)(26) = 72

Now multiply every term by 4:

4(x)(4)+(4y+2z+2w)=72

## 9. The product of two consecutive even integers is 28; what are they?

• The product of two consecutive even integers is 28; what are they?

The solution here is x and x + 2. You can prove this by multiplying both sides by 2, which leaves us with a = 2b (since we know that a * b = c). So if we substitute in our values for a and b, we get 2(x + 2) = 28 or x + 4 = 7 (which has no solution). If there were any solutions at all for this equation then there would be an integer solution for both x and y; however since it’s impossible for any number of factors greater than 1/2 but less than 1/1000000000…etcetera ad infinitum such as “0” or “-1” could ever cancel out every other possible factor including zero then there must be no integer solutions at all!

## It is helpful to understand how these questions will be asked in an interview setting when answering them

Now that you have a better understanding of the types of questions that could be asked, let’s take a look at how these questions would be asked in an interview setting.