what is the highest power of 100 in 101^100 - 1 ?
Ä‚—
100
If N = (a^p)*(b^q).. so on and so forth where a,b are prime nos. and p,q.. are natural numbers what is the formula to find out the total number of sets of pairs of factors of N whose hcf is 1 or in other words that are coprime to each other. The sets can be unordered.
And similarly how many sets of pairs of factors are there wose lcm is N itself?
For a two positive integers a and b define function h(a,b) as H.C.F. of a and b. Let A be a set of n positive integers,G(A), the HCF of element A is computed by repeatedly using the function h./the minimum number of times h is required to compute G is
- n+1
- n-2
- n+2
- n-1
- n
0 voters
Be selling a cloth merchant gets 20% Profit and for every 20 metres of cloth he sells 3 metres of cloth gets wasted.Find the aactual profit or increased profit had the been not wasted.
Please suggest me the approach to solve these kind of problem
I got the above problem in simcat
Be selling a cloth merchant gets 20% Profit and for every 20 metres of cloth he sells 3 metres of cloth gets wasted.Find the aactual profit or increased profit had the been not wasted.
Please suggest me the approach to solve these kind of problem
I got the above problem in simcat
if [x] id greatest integer less than or equal to x then [500^1/5]+ [499^1/5]+[498^1/5]+.....+[100^1/5] is equal to which of the following?
- 968
- 1062
- 948
- 1060
0 voters
N is an even no. such that N is greater than or equal to 4(N>=4).
also A=N^2+2N. find the largest no. that always divide 2(A^2-8A)
- 1152
- 768
- 192
- 384
0 voters
Consider a sequence, where the nth term is tn = n/ (n+2) , n = 1, 2….
The value of t3 * t4 * t5 * … t53 is
(1) 2/495
(2) 2/477
(3) 12/55
(4) 1/1485
(5) 1/2970
(CAT 2006)
Consider the set S = {1, 2, 3, …., 1000}. How many arithmetic progressions can be formed from the elements of S that start with 1 and with 1000 and have at least 3 elements?
(1) 3
(2) 4
(3) 6
(4) 7
(5) 8
Please explain the method as well. Thanks.
Any source for practising mod based number system questions?? I am weak in that !!
What is the highest power of 2 that divides 200c100 completely?
Please explain the approach.
Consider the function f(y)=y^2 + 8y -857. y takes only such values for which f(y) is a perfect square. What is the remainder when
Σf(y) is divided by 100?
- 36
- 52
- 36
- 68
- 16
0 voters
Find the sum of all the digits in the integers from 1 to 100000.
a. 5000050000 b. 2250001 c. 225001 d. None of these
Hi Puys, Can anyone tell me what are all the concepts we use in finding out Remainders? Let it be of any kind of expresssion, whether Factorial or ordinary...!!! So that we can list down and comprehend all the techniques in one folder.
Like, remainder theorem, Binomial theorem, Wilson theorem, Ferment theorem, Chinese remainder theorem....Likewise?
A no. When divided by 36 leaves a remainder of 23 .which o f the following could be a remainder when it is divided by 72
- 37
- 13
- none of these
- 59
0 voters
Highest power of 3 in 19^93-13^99
Highest power of 3 in 19^93-13^99
Highest power of 3 in 19^93-13^99
Highest power of 3 in 19^93-13^99
N= 1! + 2! + 3!+.... 100! Find the remainder when N is divided by 168.