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?
Re: 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?
rule1: Number is divisible by 11 only when difference of
sumation of numbers at odd and even place is either 11 or 0.
e.g. 352 is divisible by 11 as (3+2) - 5 = 0
so Q+R would be divisible by 11 only when it satisfies rule1
upto 100 there are 9 numbers 11,22,33,44,55,66,77,88,99.
From 100 to 200. Q would be 1 and reminder(R)need to be 10,
21,32,43,54,65,76,87,98 again 9 numbers.
From 200 to 100. Q would be 2 and R need to be
9,20,31,42,53,64,75,86,97 again 9 numbers.....
LIKEWISE
upto 100------9 numbers
100 to 200----9 numbers
200 to 300----9 numbers
300 to 400----9
400 to 500----9
500 to 600----9
600 to 700----9
700 to 800-----9
800 to 900-----9
900 to 1000 ---9
so total 9x10=90 numbers
Re: 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?
rule1: Number is divisible by 11 only when difference of
sumation of numbers at odd and even place is either 11 or 0.
e.g. 352 is divisible by 11 as (3+2) - 5 = 0
so Q+R would be divisible by 11 only when it satisfies rule1
upto 100 there are 9 numbers 11,22,33,44,55,66,77,88,99.
don't consider this...since 3 digit natural numbers are asked
From 100 to 200. Q would be 1 and reminder(R)need to be 10,
21,32,43,54,65,76,87,98 again 9 numbers.
From 200 to 100. Q would be 2 and R need to be
9,20,31,42,53,64,75,86,97 again 9 numbers.....
LIKEWISE
100 to 200----9 numbers
200 to 300----9 numbers
300 to 400----9
400 to 500----9
500 to 600----9
600 to 700----9
700 to 800-----9
800 to 900-----9
900 to 1000 ---9
so total 9x9=81 numbers
You are driving along in your car on a wild, stormy night,
it's raining heavily, when suddenly you pass by a bus stop,
and you see three people waiting for a bus:
An old lady who looks as if she is about to die.
An old friend who once saved your life.
The perfect partner you have been dreaming about.
Which one would you choose to offer a ride to,
knowing very well that there could only be one passenger in
your car?
This is a moral/ethical dilemma that was once actually used
as part of a job application.
* You could pick up the old lady, because she is going to
die, and thus you should save her first;
* or you could take the old friend because he once saved
your life, and this would be the perfect chance to ! pay
him back.
* However, you may never be able to find your perfect mate
again.
Ben can have a piece of work done in 8 days, Joe can work
three times faster than the Ben, Ram can work five times
faster than Ben. How many days will they take to do the
work together ?
A, B and C contract a work for Rs. 550. Together A and B are
supposed to do 7/11th of the work. How much does C get?
(a) Rs. 270
(b) Rs. 200
(c) Rs. 310
(d) Rs. 175
(e) None of these
1) In a club there are certain no. of males and females. If
15 females are absent then no. of males will be twice that
of females. If 45 males are absent then female strength
will be 5 times that of males. Find no. of males actually
present.
Some of the friends decided to go on a picnic they
decided to go on a bike if the biker decided to take one
pillion with him then there is no means of travel for the
people as equal to the no of bike + 1. if they decided to
go on two trip three bike r left unused in the second trip
find the no of person having bike?
Thirty men take 20 days to complete a job working 9 hours a
day. How many hour a day should 40 men work to complete the job?
(a) 8 hrs
(b) 7 1/2 hrs
(c) 7 hrs
(d) 9 hrs
Venkat has 1boy&2daughters.The product of these children
age is 72.The sum of their ages give the door numberof
Venkat.Boy is elder of three.Can you tell the ages of all
the three.
A traveler walks a certain distance. Had he gone half a
kilometer an hour faster , he would have walked it in 4/5
of the time, and had he gone half a Kilometer an hour
slower, he would have walked 2 ½ hr longer. What is the
distance?
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