nopainnogain
New member
- Joined
- Feb 22, 2008
- Messages
- 4
These some problems in my assignment that I'm not able to solve.Any help will be appreciated.Thank you.
1) If ABC*17=6ABC what is ABC?
2) If 177*n^2 = 1^n + 2^n + 3^n +………+ n^n then what is n?
3) Express 1 as sum of cubes of three different fractions.
4) Which is the least multiple of 2007 that ends with 2008?
5) The first two digits and the last two digits of which four digit perfect square are also perfect squares?
6) Give a nine digit number containing all the digits from 1 to 9 and a square of a number containing all the digits from 1 to 5.
7) Which two digit numbers have this property: The sum of the digits of each number is twice their difference.
8) On a digital clock all the digits 0 to 9,each only once, are seen for month(MM),date(DD),hour(HH),minutes(MM) and seconds(SS).What are the figures for the earliest and latest possible date and the time after 1st January?
9) ABCD*49=3ABCD then what is ABCD?
10) _____ is removed from the set {11, 12, 13...91} to get average 55.55.
11) The 4 digit prime such that ABC and D are also primes is _____.
12) If a square number has 5 in its units digit, then its tens digit is always _____.
13) If p is a prime greater than 3, then p^2 leaves a remainder _____when divided by 24.
14) If n is a natural number greater than 5, at most _____ members of the set {n+1, n+2……..n+30} can be primes.
15) From different three digit numbers one can select randomly a minimum of ____ numbers so that the sum of the digits of at least three numbers is the same.
16) 31072 times this number is x+y if x^3 + y^5 = z^7(x, y, z are natural numbers).WHat is the value of this number?
17) The number of 11 digit numbers such that the sum of the digits of each number is ninety four and each number has only 6 nines is ______.
18) The smallest multiple of 15 that has only 0s and 8s as its digits is ______.
19) If a + b + ab =5, b + c + bc = 11, c + a + cd =19 then 2a + b + c + d =?
20) If N+1 and N-1 are both primes then 13N-8=?
21) If a^3 = b^4 (a, b<20) then ab-1200=?
22) If A^2-B^2 is a cube and A^3-B^3 is a square then 35(A + B) =?
23) If abcd = 7! The (a+b+c+d)-10=?
1) If ABC*17=6ABC what is ABC?
2) If 177*n^2 = 1^n + 2^n + 3^n +………+ n^n then what is n?
3) Express 1 as sum of cubes of three different fractions.
4) Which is the least multiple of 2007 that ends with 2008?
5) The first two digits and the last two digits of which four digit perfect square are also perfect squares?
6) Give a nine digit number containing all the digits from 1 to 9 and a square of a number containing all the digits from 1 to 5.
7) Which two digit numbers have this property: The sum of the digits of each number is twice their difference.
8) On a digital clock all the digits 0 to 9,each only once, are seen for month(MM),date(DD),hour(HH),minutes(MM) and seconds(SS).What are the figures for the earliest and latest possible date and the time after 1st January?
9) ABCD*49=3ABCD then what is ABCD?
10) _____ is removed from the set {11, 12, 13...91} to get average 55.55.
11) The 4 digit prime such that ABC and D are also primes is _____.
12) If a square number has 5 in its units digit, then its tens digit is always _____.
13) If p is a prime greater than 3, then p^2 leaves a remainder _____when divided by 24.
14) If n is a natural number greater than 5, at most _____ members of the set {n+1, n+2……..n+30} can be primes.
15) From different three digit numbers one can select randomly a minimum of ____ numbers so that the sum of the digits of at least three numbers is the same.
16) 31072 times this number is x+y if x^3 + y^5 = z^7(x, y, z are natural numbers).WHat is the value of this number?
17) The number of 11 digit numbers such that the sum of the digits of each number is ninety four and each number has only 6 nines is ______.
18) The smallest multiple of 15 that has only 0s and 8s as its digits is ______.
19) If a + b + ab =5, b + c + bc = 11, c + a + cd =19 then 2a + b + c + d =?
20) If N+1 and N-1 are both primes then 13N-8=?
21) If a^3 = b^4 (a, b<20) then ab-1200=?
22) If A^2-B^2 is a cube and A^3-B^3 is a square then 35(A + B) =?
23) If abcd = 7! The (a+b+c+d)-10=?
