What is the smallest five-digit number that, when divided by 7, 11, and 21, leaves a remainder of 5 in each case?

Asked by Last Modified  

2 Answers

Follow 2
Answer

Please enter your answer

Ramakant Reddy

Trainer

the no will be of the form lcm(7,11,21)k+5 that is 1617k+5 i.e 11324
Comments
Dislike Bookmark

Assistant Professor

Take those three numbers and find their LCM(Least common multiple) . So LCM of 7, 11 and 21 is 231. Now required number = 231*x+5 Here find the value of x such that it gives you a numbe just above 10000. If x=43 then number becomes 9938 which is a 4 digit number so discard it. Take x=44 and...
read more
Take those three numbers and find their LCM(Least common multiple) . So LCM of 7, 11 and 21 is 231. Now required number = 231*x+5 Here find the value of x such that it gives you a numbe just above 10000. If x=43 then number becomes 9938 which is a 4 digit number so discard it. Take x=44 and then you get a number as 10169. Now divide it by 7,11 and 21 and all you get as remainder will be 5 always. read less
Comments
Dislike Bookmark

Related Questions

if 9+3=108, 6+7=78, 4+8=48, 8+5=104, then 5+3=?
40 40 40 40
Suraj
How to learn for aptitude tests?
Depends on the exam you are targeting and your current level of prepration. To begin with i would suggest you to brush up some basic concepts for Quants from the NCERT 9th and 10th standard books. Take...
Akshata
0 0
6
How do I increase my accuracy and speed in quantitative aptitude for SBI PO?
Keep your mind tension free. This helps in improving focus and accuracy. Speed of solving the problems can be improved with rigorous practice. Simple tricks can't be avoided.
Ashmita
0 0
6
How much time is required to learn Short tricks in quantitative aptitude
It depends on the teacher and your grasping power, your educational background and your effort on an average it varies from 3 - 6 months.
Shailesh
What will be the remainder when 47 to the power 47 is divided by 144 in base 12? Answer should be in base 12.
The only difference will be instead from having 0-9 we will have 0-9 and then A & B. Try it now. Or you can convert every thing on a base of 10 get the answer and convert it back to base 12.
Abhijeet Kumar Sinha
1 0
5

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Can You Find MN? Midpoint Geometry Puzzle | BC = 8, AD = 6 | CAT & GMAT Quant

Rajnikant Mishra

0 0
0
Profit & Loss
Profit and Loss Cost Price (CP): The price at which any article is purchased Selling Price (SP): The price at which an article is sold Profit or Gain: Profit is the difference between S.P. and...

Ramesh S

1 0
0
Simplification Technique

Rahul Verma

0 0
0
Fresh Fruit and Dry Fruit concept

Rahul Verma

0 0
0
Find out the wrong number in the following number series.
Find out the wrong number in the following number series. 1. 1 5 23 91 263 521 515 2. -2 5 -1 12 29 166 9813. 15 136 55 104 79 89 4. 120 15 100 25 75 37.5 5. 24 12 12 18 27 90 2706. 17 169 972 4885 19524...

Saikat Mitra

0 0
0

Recommended Articles

10 Tricks to Remember What You Studied

It is not true that every student is lethargic and loves to be the couch potato. Some students do put immense effort for their examinations. Where some book-worms study day in and out without a break, with an ultimate objective to crack the competitive examination or to score the highest mark. But, the saddest part is that,...

Read full article >

Hurry up! Apply for Government Jobs before...

There are a number of exciting upcoming government jobs in India for you. Just check out the links and apply for relevant jobs. Open Positions: Position Name Dept./Org. Vacancies Last Date Info. Link LDC, Steno, Driver, MTS, Ayah, Cook IAF 140 30-03-2015 http://bit.ly/1C1zjAM Technician,...

Read full article >

8 Exam Stress Busters That You Can Count On

When exams knock at the door, it is common to go paranoid. First, the constant worry on how you will perform and whether you are preparing right is a major concern. Next, the limited time span and the vast syllabus that you have to complete. Irrespective of the kind of exam you are appearing for, stress is common and happens. If...

Read full article >

Bank P.O Exam Guide

Bank P.O is one of the most talked about examination for bank recruitment in India. P.O stands for Probationary Officer which is an entry level position in banks, which are especially for fresh graduates or a person without any prior experience. The probation period for Bank P.Os is generally 2 years in which they’re trained...

Read full article >

Find Quantitative Aptitude Coaching near you
Quantitative Aptitude Coaching in Hyderabad
Quantitative Aptitude Coaching in Bangalore
Quantitative Aptitude Coaching in Delhi
Quantitative Aptitude Coaching in Chennai
Quantitative Aptitude Coaching in Pune
Quantitative Aptitude Coaching in Mumbai
Quantitative Aptitude Coaching in Gurgaon
Quantitative Aptitude Coaching in Coimbatore
Quantitative Aptitude Coaching in Kolkata
Quantitative Aptitude Coaching in Chandigarh

Looking for Quantitative Aptitude Coaching?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you