Find the highest possible value of n that divides 3^1024 -1 is divisible by 2^n
Find the highest possible value of n that divides 3^1024 -1 is divisible by 2^n
ans is 12.. Please explain how! thanks
From the first 20 natural numbers how many Arithmetic Progressions of five terms can be formed
such that the common difference is a factor of the fifth term?
A railway route has 500 statns betwn J & K. In hw many ways cn a train be scheduld frm J to K such dt it stops at xactly 100 intermediat satatns and no two stoppages are consecutive?
ans is 401c100 plzzzzzzzzzz explain the approachππ π π π π π π
does every circle which touches all 3 sides of a triangle from inside need to be its incircle? in other words, is it a possibility that angle bisectors do not meet at the centre of that inscribed circle?
How many factors of 20! are there whose unit digit is 5?
(a) 2068 (b) 1868 (c) 1728 (d) None of these
what is summation of k=0 to k=28 of k^2*(28Ck)?

28Ck is combination of choosing k items from 28
A boat travels 60 km upstream and 100 km downstream in 8 hours and then travels 75 km upstream and 175 km downstream in 12 hours. What is the speed of the boat in still water?
a 36 km/hr
b 30 km/hr
c 24 km/hr
d 20 km/hr...............NEED SOME SHORTCUT WAY
If x + y = 4 where x and y are positive numbers, then the maximum possible value of 1/x + 1/y is
A center agent has a list of 305 phone numbers of people in alphabetic order of names
(but she does not have any of the names). She needs to quickly contact Deepak Sharma to
convey a message to him. If each call takes 2 minutes to
complete, and every call is
answered, what is the minimum amount of time in which she can guarantee to deliver the message to deepak sharma
18 ,610,34,206
minimum number of cards that a person should draw from a pack of cards so that the three cards are of same colour ??
P(a,b) {= P(a-b),b , if a>=b
= a , if a}
given : P(a,7) = 4 , P(a,11) = 6 , P (a,13) = 3.
Find P(a, 17), if 'a' is a positive integer between 2000 and 3000.
a 6
b 8
c 11
d 12
e 10
i have solved the Q,but method was long.so approaches are welcome π
x^5-10x^4+ax^3+bx^2+cx-32=0,given the roots are +ve. Determine a+b+c
Two real non negative numbers satisfy that ab>=a^3+b^3, find the maximum value of a+b
Given that 2^x^y + x^2^y = 3. What is the total number of integral solutions for the given equation?
Does anybody know how to find the incenter, circumcenter and median of a triangle when three co-ordinate points are given?
consider the nos between 10 and25 (both inclusive).select two nos from the range where the diffrnce betwn them is atleast 3.how many such cases are possible ???
f(x) .... increasing fn
g(x) .... decreasing fn
h(x) .... incresing fn
what can we say about the nature of :-
1) f + g
2) f + h
3) f * g
4) f * h
5) f / g
6) f / h
7) f + g + h
8) f * g * h
i donot have OA ... plzz discuss ... mujhe bhi nahi pata hai ....
at the end i will tag scrabbler ... but donot distrb him now. π
N! is completely divisible by 13^52. What is sum of the digits of the smallest such number N?
Eric rolls two dice, and his score is the sum of the values shown. Sandra throws one die,
and her score is the square of the value shown. What is the probability that Sandra's score
will be strictly higher than Eric's score?
a.
137/216
b.
17/36
c.
173/216
d.
5/6