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?
This blog makes available plenty of questions for practice, for the Mathematics competitive exams. We also try to bring to students interesting ways of approaching the questions. If you need any assistance in questions from IPM, MTSE, SCHOLARSHIP, OLYMPIAD, CBSE , ICSE or Board test papers, you may write to us.
Sunday, November 2, 2014
Thursday, October 30, 2014
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
Wednesday, October 29, 2014
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
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
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.
Tuesday, October 28, 2014
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.
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
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, ...
- 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
Monday, October 27, 2014
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/
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.
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.
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.
i.e 47m + 19n = 1000, where m and n are natural numbers.
JMO STD VI
Sunday, October 26, 2014
Saturday, October 25, 2014
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.
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.
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