To get another number, we divide one number by another number, a process known as division. In this context, the dividend refers to the part of the number that is divided. The divisor is the integer that divides a given number. The quotient is the result of this calculation. The divisor that does not divide a number fully results in a number known as the remnant.
Which one is divisor dividend and quotient?
There were five successive subtractions of 3, thus 15 3 = 5 again. The dividend (in this case, 15) and divisor (in this case, 3) are terms used to describe the number being divided. The quotient is the result of the division. A genuine equation is one in which the divisor and quotient can be interchanged.
Which is dividend in division?
Dividend is the term used to describe the amount or number that will be shared. Dividend is a term used to describe a whole that will be subdivided. In this example, three youngsters will get 12 candy each.
How are the terms divisor dividend and quotient related?
The dividend is the number that is divided. The divisor is the number that divides. The quotient is the number that is the result of the division. The remnant is the number that remains after all the numbers have been accounted for.
Which is the quotient?
The quotient is the result of splitting two numbers. Quotient: For example, if we divide six by three, we get two, which is the result The division operation yielded this result. An integer or a decimal number can be used as the quotient. A decimal quotient is used for accurate divisions, such as 10/5 = 2, while an integer quotient is used for divisions such as 12/5 = 2.4. The decimal portion of the quotient is the remainder of the division in the case of a decimal quotient.
Quotients are useful in determining the dividend’s relative size to the divisor. Dividends divided by divisors are the quotient formula. Quotients that are larger but smaller than their divisors are called “quotients.” Let’s learn more about the quotient and how to calculate it.
Which is quotient and remainder?
The quotient is the amount of times we’ve divided (of the division of by ) After deducting as many times as possible, the number that is left over is known as the residual (of the division of by ).
What is the quotient calculator?
If you’re looking to compute the quotient of a number split by another number, you can use this free online tool. Cuemath’s online calculator speeds up your calculations and provides you with the answer in a matter of seconds.
Is there any relation between dividend divisor quotient and remainder?
Let’s take a closer look at each of these division-related scenarios to ensure that you’re prepared for all forms of quotient/remainder problems on the GMAT. If we divide 7 by 4, we’ll get 7/4 = 1 + 3/4. This basic example illustrates the importance of division terminology.
We’re referring to the dividend as the phrase we’re dividing by something else. The divisor is the number 4, because it is the one doing the dividing. The quotient is equal to 1, the mixed fraction’s whole number component. The final digit is 3, as you might expect. Even if you have to be reminded of the language, this will probably feel familiar to you.
The standard formula for the remainder is: Dividend/Divisor = Quotient + Remainder/Divisor in the abstract. When we increase the Divisor by the Remainder formula, we get another useful variation: Dividends are calculated as follows: Quotient x Dividend x Remainder.
It is enough to know these terms and the remainder equation to solve the official GMAT question:
The quotient of N divided by T is S, while the remainder is V. To find out what number N stands for, look up the following idioms.
Divided by something else, our dividend is N; the divisor is T; the quotient is S; and the remainder is V in this problem. Our final equation, Dividend = Quotient*Divisor + Remainder, yields N = ST + V, which we can plug into our remainder equation. “C” is the answer.
You can also use basic numbers to answer this problem if you don’t remember the remainder formula. In this example, we assume that N is 7 and that T is 3. 7/3 is 2 plus 1/3, so the answer is 2. V = 1 since the Quotient is 2 and the remainder is 1. We’ll need a N of 7 if we put in 3 for T, 2 for S, and 1 for V. Because 2*3+1=7, we can assume that answer C is accurate.)
For data sufficiency questions, a statement may give us information about the dividend, such as the divisor and the remainder, which we may then use to build a list of possible values.
With this question in mind, what is the answer to: x divided by 5 yields 4. x, 5, and 4 are the divisor and remainder, respectively, in this example. To avoid confusion, we’ll refer to the quotient as q. x = 5q + 4 is how the equation is written. To generate x, we can pick values for q, keeping in mind that the quotient must be non-negative.
Assuming q is 0, x is 4. Assuming q is 1, x is 9. Q=2, x=14 Notice the pattern that appears when we use x = 4 or 9… Remainder is the first acceptable value of x. After that, all we have to do is keep adding the divisor, 5. You could go on like this for as long as you wanted: 4, 9, 14, 19, 24, 29, etc. If you’re dealing with complex data sufficiency issues like the following:
There are two distinct ways to get the answer to this question:
Second, when the sum of (x + y) divided by 5, the answer is 2
There is no need to include statement (2) in addition to statement (1).
(B) While statement (2) is sufficient in and of itself, statement (1) is not.
Neither statement is sufficient by itself, but they work well when taken as a whole.
As we can see from Statement 1, we have a range of possible values for x y. Keep in mind that xy must be greater than a multiple of 5 in order to meet the pattern outlined above. Starting with the divisor (5), we can determine that xy = 1 or 6 or 11, etc. by adding the divisor to the remainder. One way to express this is to say that the sum of the two numbers (x-y) equals one. 1 + 0 = 1, and the remaining when one is divided by 5 equals 1. If x y = 6, we can claim that x = 7 and y = 0 49 + 1 equals 50 when divided by 5, hence when x2+y2=49+1=50, the remainder is 0. Statement 1 isn’t enough because the rest of the situation varies from one case to the next.
Statement 2 provides us with possible values for x + y, as stated. For the sake of clarity, let’s use the formula: x + y must be a multiple of 5. We can prove that x + y = 2 or 7 or 12, etc., by starting with the residual (2) and adding the divisor (5). In this case, we can claim that x and y are equal to one each. After multiplying by 2, the result is 1+1 = 2, which means that when 2 is divided by 5, the answer will always be 2. It’s possible to claim that the value of x is 7 and y is 0. 49 + 0 Equals 49, and the rest of 49 divided by 5 is 4. Statement 2 is likewise insufficient by itself due to the fact that the remaining varies depending on the scenario.
In the C or E scenario, let’s test them together by selecting one scenario from Statement 1 and one scenario from Statement 2 and see what occurs. Assume that (x + y) = 7 and (x-y) = 1. We get 2x = 8 or x = 4 by combining these equations. If x is 4, then y is 3. It’s now 16+9=25, which means that when 25 is divided by 5, the resulting number will be zero.
In order for us to choose an answer other than E on Data Sufficiency, we must know that the value will remain constant in each scenario permitted by the question and statements. To be on the safe side, let’s try a different case study.. You can use this formula to find out the difference between the sum of two numbers. 2x = 18 (or x = 9) is the result of adding the two equations. To get 90, you need to multiply x by 9 and y by 3, and then divide the result by the square root of both numbers. 90 divided by 5 yields a result of zero. Regardless of the variables we choose, we can be sure that the remainder is zero. C is the correct response based on the statements.
In this section, we’ll highlight some of the most crucial points about GMAT quotient/remainder issues and the formula for solving them. To ensure that you’re prepared for the GMAT’s residual questions, learn this topic. Make sure you’re acquainted with the formula for the remainder: Dividend is equal to the product of the divisor and the quotient, plus the remainder. It’s also possible to just start with the remainder and keep adding divisors until you get a list of numbers you’d like to select. These two concepts will make remaining questions far less overwhelming if you internalize them.
Also, keep in mind that division is a skill you honed in elementary school, so don’t let the jargon frighten you now.
If you become bogged down in jargon or abstraction on the GMAT, simply use simple numbers to jog your memory of how the procedure actually works.
Dividend = Divisor*Quotient + Remainder is a crucial equation, but it can be reconstructed if you forget it.
If you’re still having trouble, divide 7 by 4.
That yields a tally of 1, with a residual of 3.
When you divide 4 by 7, you end up with 3, so the quotient is 1.
For example, 7 = 4(1) + 3 = 4(1) – 3.
When you remove the abstraction from quotient/remainder problems, the remainder is a concept you’ve used your entire life!
GMAT division problems and the remainder equation are a great way to brush up on your skills.
Check out our other GMAT articles on this often tested topic, or try your hand at some practice questions with the Veritas Prep GMAT Question Bank or practice tests.
What is the name of the division box?
A vinculum is another name for the long division house or radical sign line. Right parenthesis with an attached vinculum (as shown in the figure above) extending to the right is used to separate the dividend from the divisor.
What is the relation between dividend divisor quotient and remainder?
Suppose you have 20 sweets and need to distribute them evenly among four youngsters, for example. Each of them receives five candies when the sweets are split evenly. Consider The divisor is the number of children (i.e. 4) and the dividend is the number of candies (i.e. 20) that were to be distributed among them. Keep in mind that the divisor divides the dividend, or the dividend is divided by the divisor. In mathematics, the quotient is the total amount of candies that each member receives.
What is the quotient of a number and 6?
Quotient is defined as the result of dividing one thing by another. In this case, we’ll call it n. To put it another way, “n-6” is the quotient of an integer and 6.
