11/9/2023 0 Comments Negative divided by positive✅ Two former adcoms guide you on Harvard and Stanford GSB MBA application essays: what schools expect to see in the essays, how to present your story in a unique way, what makes an essay stand out, etc. Watch the following video to learn the Basics of Remainders => 10 when divided by 12 gives 10 remainder ≠ (12-4 =8) => NOT POSSIBLEġ0 when divided by n gives n - 4 as remainder => 10 when divided by 8 gives 2 remainder ≠ (8-4 =4) => NOT POSSIBLE In Test, we don't need to solve further, but I am solving to complete the solution => 10 when divided by 7 gives 3 remainder = (7-4 =3) => POSSIBLE => 10 when divided by 4 gives 2 remainder ≠ (4-4 =0) => NOT POSSIBLE But remainder cannot be 3-4 = -1 => NOT POSSIBLE Let's take each option choice and see which one satisfies the question Theory: Dividend = Divisor*Quotient + Remainder Given that when 10 is divided by the positive integer n, the remainder is n - 4 and we need to find which of the following could be the value of n only answer choice C (7) is a factor of 14 Importance: Since n and (q + 1) are INTEGERS, n must be a FACTOR of 14.Ĭheck the answer choices. Solve Negative numbers problems with our Negative numbers calculator and problem solver. When we apply the above rule we get: 10 = nq + (n-4)Īdd 4 to both sides of the equation to get: 14 = nq + n In other words: When 10 is divided by the positive integer n, the quotient is q, and the remainder remainder is n - 4 Since we're not told what the quotient is, let's just say that it's q. Given: When 10 is divided by the positive integer n, the remainder is n - 4 Likewise, since 53 divided by 10 equals 5 with remainder 3, then we can write 53 = (10)(5) + 3 There's a nice rule that says, " If N divided by D equals Q with remainder R, then N = DQ + R"įor example, since 17 divided by 5 equals 3 with remainder 2, then we can write 17 = (5)(3) + 2 Plug n = 7 into the given information to get: When 10 is divided by 7, the remainder is 7 - 4 (aka 3)ĪPPROACH #2: Apply the rule for rebuilding the dividend When we divide 10 by 4, we get reminder 2 A positive number divided by a negative number will always be negative, regardless of whether the number is a whole number or a fraction. Plug n = 4 into the given information to get: When 10 is divided by 4, the remainder is 4 - 4 (aka 0) So, if n = 3, then the remainder = 3 - 4 = -1, which makes no sense (the remainder must always be greater than or equal to 0) The question tells us that we get a remainder of n - 4 Hence form given choices we have answer to the question which is choice "C"ĪPPROACH #1: I'd say that the fastest approach is to simply test answer choices But using the equation given to us in the question stem that remainder is n-4, which in this case would be 12-4 =8 So we can reject answer choice E Positive integer \(a\) divided by positive integer \(d\) yields a reminder of \(r\) can always be expressed as \(a=qd+r\), where \(q\) is called a quotient and \(r\) is called a remainder, note here that \(0\leq\)= 12*0+ 10) here remainder is 10. Which of the following could be the value of n? When 10 is divided by the positive integer n, the remainder is n - 4.
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