Question: Find the smallest positive integer n such that it leaves remainder 1 when divided by 11, 2 when divided by 12 and 3 when

Find the smallest positive integer n such that it leaves remainder 1

Find the smallest positive integer n such that it leaves remainder 1 when divided by 11, 2 when divided by 12 and 3 when divided by 13.

Step by Step Solution

★★★★★

3.45 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

multiplying 111213 gives ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Find the smallest positive integer n such that n is a multiple of 3, n+1 is a multiple of 4, and n + 2 is a multiple of 5.

Q:

Which integers leave a remainder of 1 when divided by 2 and also leave a remainder of 1 when divided by 3?

Q:

Prove that there is no positive integer n such that n2 + n3 = 100.

Q:

A machine can be purchased for $296,000 and used for fiveyears, yielding the following net incomes. In projecting netincomes, double-declining depreciation is applied using a five-yearlife and a ze A...

Q:

1. Prove that there are no integers x and y such that 333x + 456y = 4. 2. Find the smallest positive integer x so that 157x leaves remainder 10 when divided by 24. Show your work. 3. For all integers...

Q:

The global average CO concentration is 405.0 parts per million by volume. Express this concentration in terms of (a) partial pressure (in atmospheres), (b) moles per liter, and (c) grams per liter.

Q:

1. The system of equations = 8 and + = 20 has the solution (, ) = (2,3). Find + . A. 6 B. 7 C. 8 D. 9 E. 10 2. Sun fills her 10-liter radiator with 20% antifreeze and 80% water. She removes some of...

Q:

HW 1207 Quiz on Thursday: Solve the following equations: log- (3x + 7) + log,(2x + 5) = 0 log7 (4x2 - 1) - log, (3x + 6) = 0 List all possible rational roots of the following: How many possible...

Q:

BUSINESS 275, WINTER 2016 ASSIGNMENT #2: LINEAR PROGRAMMING Administrative Matters 1.1 Deadline This assignment is due by 11 AM on Wednesday, March 23, 2016 in the correct labeled drop box outside...

Q:

2. The generalized Schur number S(4,5) is defined as the smallest positive integer n such that any blue/red colouring of the set {1, 2, ..., n} contains a blue solution to the equation L(4): X1 + x2...

Q:

What current company would benefit greatly from digital audience research, and how could digital data driven method, survey method and using an experiment aid in the research of that company?

Q:

Lori Cook produces Final Exam Care Packages for resale by her sorority. She is currently working a total of 5 hours per day to produce 100 care packages. a) What is Loris productivity? b) Lori thinks...

Q:

WANEAC 8 4 . 5 . 0 0 8 . Find the derivative of the function. h ( x ) = l o g 6 ( x 2 x ) h ' ( x ) =

Q:

BT is considering investing in government bonds. The current price of a P100 bond with 10 years to maturity is P88. The bonds have a coupon rate of 6% and repay face value of P100 at the end of the...

Q:

Assume a study shows that the distribution of body fat percentage for all American males has a normal distribution with mean 17% and standard deviation 3%. a. If the us army requires any male recruit...

Q:

Which of the following is the strength required to resist and control the resistance in the downward phase of a movement? Isometric Speed Concentric Eccentric

Q:

Locate state tax newsletters to answer the following questions: What is the title of the most recent article in Tax Notes State Tax Today that discusses royalty trusts? What is the most recent...

Q:

Variance Project The Special Widget division manufactures a product called SW for Global Corporation. The plant is a completely autonomous subsidiary that sells SWs to other subsidiaries of Global...

Q:

1. In the Chapter 1 section, Great Leaps Forward, the textbook details 3 physical / cultural traits that make humans Super Endurance Predators. Identify and explain EACH of these traits as well as...

Q:

In Problem find the indicated second-order partial derivative for each function f(x, y). f yy (x, y) if f(x, y) = x 2 + 9y 2 - 4

Q:

In Problem use Theorem 2 to find the local extrema. f(x, y) = x 2 + xy + y 2 - 7x + 4y + 9 THEOREM 2 Second-Derivative Test for Local Extrema If 1. z = f(x, y) 2. fx(a, b) = 0 and f(a, b) = 0 [(a, b)...

Q:

Find the dimensions of a rectangle with a perimeter of 148 feet that has the maximum area.

Q:

describe on-site relaxation tips for reducing anxiety;

Q:

As a coach, you have just had a brief confrontation with an athlete about breaking some team rules. He has stormed out of practice mad and upset. Soon you are to meet with the athlete and likely will...

Q:

Discuss how cohesion is related to social support. Discuss three types of social support and how you would develop these to enhance group cohesion.