A set of 2009 numbers from (1-2009) is written on the board. You are allowed to replace any two of these numbers by a new number which is either the sum or the absolute difference of these numbers, after 2008 such operations, Which of the following cannot be the last number left on the board?
👍
A) 1 B) 3 C) 4 D) 5) E) Cannot be determined
22222........300 times when divided by 999 leaves remainder?
Remainder when 123456789...40 divided by 36 ?
Can someone help me out in this whats the difference between arun sharma and
Nishit Sinha book i already have been doing arun sharma and able to solve most of lesovel 1 & 2 questions but somehow i am weak in some areas like permutations logs inequalities ie i need to strengthen my basics more so should i refer Nishit Sinha for this ??? if not then which other books can clear basics
An ant starts from a point on the botton edge of a circular cylinder and moves in a spiral manner along the curved surface area such that it reaches the top edge in exactly as it completes two circles. Find the distance covered by any f radius is 12/pie and height of cylinder is 20 units.
For any natural number, let K be the index of the highest power of 2 which divides the number. Among the first 100 natural numbers all those numbers for which K is even, are excluded. Find the index of highest power of 2 which divides the product of the remaining numbers.
0 answers 3) 97
0 answers 4) 67
×
the no can be of the form of 2^1 , 2^3 and 2^5 as there are 15 prime no b/w 1 to 50 so
for 2^1 no can be 2*1, 2*3, 2*5....................,2*47 ==so in total 15
for 2^3 no can be 8*1, 8*3, 8*5....................,8*11 == so in total 5
for 2^5 no can be 32*1, 32*3 == so total 2
so the product of these no can be divided by
(2^1)^15 * (2^3)^5 * (2^5)^2 == 40
plzz tell me where i m wrong????
Remainder when 123123123...300 digits divided by 909 ?
For any natural number, let K be the index of the highest power of 2 which divides the number. Among the first 100 natural numbers all those numbers for which K is even, are excluded. Find the index of highest power of 2 which divides the product of the remaining numbers.
What happened to this question...didn't get the soln
Find the number of even factors of 2^4 x 3^1x 5^2 x 7^2.
a> 90 b>72 c> 84 > 78
Anu and Prem started running simultaneously from diametrically opposite points on a circular track. They ran in opposite directions and met after 12 minutes for the first time. If the distance between them exactly 't' minutes after they start is equal to a quarter of the length of the track, which of the following is not a possible value of 't'?
42 /78 /90 /144Some numbers can be expressed as the sum of three of their factors. E.g. 12 can be expressed as the sum of 2, 4 and 6. How many other such numbers are there which are less than 100?
Someone pls:
The equation [root(x+1)]-[root(x-1)]=[root(4x-1)] has
Options:
1.no solution
2.1
3.2 solutions
4.3 solutions
5.>3 solutions
Can someone please explain the process involved in solving the questions below.
x=1/29(3−(29*x−1)^1/2013)) what is the sum of the real roots of the equation
1-in how many ways one can put 6 different balls in 3 identical baskets ?
2- a railway track runs parallel to road untill a bend brings the road to a level croasing .
a cyclist travels at a constant speed of 12 miles per hour . he normally meets the train travelling in same direction at crossing . one day he was lae by 25 minutes and met train 6 miles before crossing
calculate speed of train
find the 13th root of 13^13^13
1)13^169
2)13^13^12
3)169^169
4)13^169^2
5)169^13
If N = (13)^(1! + 2! + 3! + ..+ 13!) + (28)^(1! + 2! + 3!..+ 28!) + (32)^(1! + 2! + 3! + ...+ 32!)+ (67)^( 1! + 2! + 3! + ......+ 67!), then the unit digit of N is (a) 4 (b) 8 (c) 2 (d) none of these
Number of set of co-prime factors of 72 ??
F(x) is a fourth order polynomial with integer coefficients and no common factor. The roots of F(x) are −2, −1, 1, 2. If p is a prime number than 97, then the largest integer that divides F(p) for all values of p is
For a number K= (1^2 + 2^2 + 3^2........+M^2),where M is a natural number less than 55,
how many values of M can exist so that K is divisible by 4?