A number when divided by 100 leaves a quotient (Q) and a
remainder (R). How many three-digit natural numbers are
there such that Q + R is divisible by 11?
- 6 Answers
- 21015 Views
- TCS, I also Faced
- E-Mail Answers
Answer Posted / arthi
Some people say its 90 numbers, and some say that its 81.
The correct answer depends on the real definition of natural numbers.
Wikipedia says:
It is either the set of positive integers {1, 2, 3, ...} according to the traditional definition or the set of non-negative integers {0, 1, 2, ...} according to a definition first appearing in the nineteenth century.
Assuming the former is correct, {1, 2, 3, ...} the answer is 81. (Checking between 100 and 999)
Whereas assuming the latter is correct {0, 1, 2, ...}, the answer is 90. (Checking between 1 and 999)
Now, for finding the answer, just know if Q+R is div by 11, and Q is the digit in the hundred's place, then the three digit number itself is div by 11. (The explanation is lengthy, so Im not including it now. I might post it later.)
so only find the number of numbers divisible by 11, between 1 and 999 or 100 and 999 as the case may be.
The answer 90 in the first case, and 81 in the second case.
| Is This Answer Correct ? | 1 Yes | 0 No |
Post New Answer View All Answers
vernanlar : place :: finger print : ?
Sky Heaven is a 16 stored building with 12000 sq. feet on each floor. Zintac International rents 7 floors and Zobia International rents 4 floors. What is the number of sq. feet of unrented floor space?
Plz send me the SBI exam previous question paper.
pls send me andhra bank clerk model papers&syllabus
Find the next series: AD DP PL LV ?
If the area of a square increases by 69%, then the side of the square increased by
Fathers age is 5 times his son's age. 4 years back the father was 9 times older than son.Find the fathers' present age.
Two trains are traveling at 18kmph and are 60 km apart. There is flying in the train. It flies at 80kmph. It flies and hits the second train and then it starts to oscillate between the two trains. At one instance when the two trains colloide it dies. At what distance travel by the fly.
Hi friends i am new to this site. Pls provide me the KVB clerical exam model question papers. pls send to mail id mailstoaaa@gmail.com. Hope u guys will help me.
If the area of square increases by 69% then side of the square increment by:
If a car starts from A towards B with some velocity due to some problem in the engine after travelling 30km.If the car goes with 4/5 th of its actual velocity the car reaches B 45min later to the actual time. If the car engine fails after travelling 45km, the car reaches the destination B 36min late to the actual time , what is the initial velocity of car and what is the distance between A and B in km
What are the areas shell do ask questions during their technical selection test? send it to my email: kingsbogon@yahoo.com ,Thank you in advance
4 cows are there at the four corners of a square. if the radius of the rope is 1 and lenth of one side of the square is 14, find the area along the square which the cow cannot gaze.
A 4" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks are there even without a single face being painted?
Find the value of the 678 to the base 7.
