Interested to Buy Any Domain ? << Click Here >> for more details...
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
- 23430 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
The local wind which blows down the Rockies in Canada is known as:?
how to get the system time dynamically in orcle
The ratio of the number of boys and girls in a school is 3:2 Out of these 10% the boys and 25% of girls are scholarship holders. % of students who are not scholarship holders.?
A man said to woman " your only brother's son is my wife'sbrother". How is the woman related to the man's wife..
write a program that prompts the user to enter three sides of a triangle and prints whether it is a right triangle or not.
A says “the horse is not blackâ€. B says “the horse is either brown or grey. “C says “the horse is brown†At least one is telling truth and at least one is lying. What is the color of the horse?
two friends A,B are running up hill and then to get down! length if road is 440 yards A on his return journy met B goin up at 20 yards from top,A has finished the rase .5 Minuit earlier than B,then how much time A had taken to complete the rase.
ram singh goes to his office in the city, every day from his suburbun house. his driver mangaram drops him at the railway station in the morning and picks him up in the evening. Every evening ram singh reaches the station at 5 o'clock. mangaram also reaches at the same time. one day ramsingh started early from his office and came to the station at 4 o'clock. not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. how much time did ram singh walk.
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.
Zulus always speak truth and Hutus always speak lies. There are three persons A,B&C. A met B and says " I am a Zulu or I am Hutu". We don't know what exactly he said. then B meets C and says to c that " A is a Zulu ". Then C replied " No, A is a Hutu ". Who must be a Zulu ?
"what category of job are you looking for and why"asked from an mep engineer.
x:y=3 and x+y=80 what is the value of y?
How can you make a square from two triangles?
two trees are there. one grows at 3/5 of the other. in 4 years, total growth of trees is 8 ft. what growth will smaller tree will have in 2 years.
There N stations on a railroad. After adding x stations 46 additional tickets have to be printed. Find N and X.
