indeterminate equation

The librarian observes that one of the first 9 pages and one other page of two digit is missing from a book. The sum of all the pages in the book now is 260. What are the possible combinations of missing pages?

JMO - miscellaneous examples

1.    Nanu was asked to divide a number by 6 and then add 12 to the quotient. She, however added 12 to the number first and then divided it by 6, getting an answer of 112. What was the correct answer?

2.    If Nanu travels at 40 km/hr speed, she reaches school from home at 9:30 am. If she travels at 50 km/hr speed, she reaches at 9:00 am. What is the distance from home to her school?

3.    Solve the alpha-numbers, given that each alphabet represents a unique digit.

                    S   E   N  D

 +    M  O   R  E

-----------------------------------------

            M   O   N  E  Y

Alphamatics, JMO

The alphabets given below represent a unique number between 0 to 9.
find the alphabets

                    E   I   N
                    E   I   N
                    E   I   N
     +             E   I   N
------------------------
               V  I    E   R

Alphamatics, JMO

Each of the alphabets represent a unique number between 0 to 9.
find them

Z E R O E S
  + O N E S
-----------
B I N A R Y

indeterminate equation, JMO

Can integral multiples of 13 and 68 add up to 2000. if so how many such possibilities are there.

alphamatics, JMO

If 9 x HATBOX = 4 x BOXHAT
where every Alphabet is unique and has a value of 0 to 9.
Find each of the digits represented by the alphabet.

alphamatics

A B C D E F
x                6
---------------
D E F A B C

All alphabets represent a unique digit between 1 to 9.

Find the values of the alphabets A,B,C, D, E, F

series, JMO

The following number is formed by a special pattern and is the only 
one of its kind: 8549176320. 

What is the pattern?

Look and say sequence

The series given below is called the "look - and - say" sequence.

 

1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, ... 

To generate a member of the sequence from the previous member, one must read  the digits of the previous member, thus:

• 1 is to be  read as "one 1" or 11.
• 11 is to be  read as "two 1s" or 21.
• 21 is to be  read as "one 2, then one 1" or 1211.
• 1211 is to be  read as "one 1, then one 2, then two 1s" or 111221.
• 111221 is to be  read as "three 1s, then two 2s, then one 1" or 312211

indeterminate equation, JMO

Divide 112 into two parts one of which when divided by 3 leaves remainder 2 and the other divided by 8 leaves a remainder 7.

indeterminate equation, JMO

Find the fractions, having 7 and 11 for their denominators, such that their sum is 1(34/77)

indeterminate equation, JMO

Divide 152 into two parts so that one may be a multiple of 7 and the other a multiple of 12.

Alphamatics

 For questions on letter numbers (alpha-matics)
http://mathforum.org/library/drmath/sets/select/dm_letter_number.html

reference site for puzzles

For puzzles in Alphametics, you may visit the given website:

http://www.mathematik.uni-bielefeld.de/~sillke/PUZZLES/ALPHAMETIC/

indeterminate equation, JMO

Is it possible to have the sum of multiples of 29 and 48 to be equal to 500.
i.e 48m + 29n = 500, where m and n are natural numbers.

indeterminate equation, JMO

Is it possible to have the sum of multiples of 44 and 18 to be equal to 1000.
i.e 44m + 18n = 1000, where m and n are natural numbers.

Indeterminate equation, JMO

Is it possible to have the sum of multiples of 47 and 19 to be equal to 1000.
i.e 47m + 19n = 1000, where m and n are natural numbers.

JMO STD VI

MTSE STD VIII practice paper

15 questions for MTSE STD VIII

indeterminate equations, JMO

The total age of some 7 years old children and some 5 years old children is 60 years. If a team is to be selected from these children such that their total age is 48 years, then in how many ways can it be done?

indeterminate equation, JMO

Students of a class are made to stand in rows. If 4 students are extra in each 

row, there would be 2 less rows. If 4 students are less in each row, there would 

be 4 more rows. Find the total number of students which satisfies this condition 

if the number of students is less than 100.