I have a trivial doubt. Can anyone help me solving----
Submission of (n+1)/n from 1 to 50.
Basically, this question will boil down to the series 1 + 1/2 + 1/3 + .... which I am not able to solve.
Kindly HelpThe no of ways in which 30 coins of 1 rupee can be given to 6 persons so that none receives less than 4 coins?👍
What is the value of 'k' for which the equations x^3-4x^2+x-6=0 and x^3=3x^2-4x+k=0 have a common root?👍
The number of times the digit 8 occurs b/w 1 and 1000 ?👍
The no of days taken by A to complete a work is 4 days more than the time taken by A & B together and 5 days more than the time taken by B & C together.If the ratio of efficiencies of B and C is 2:3 then the time in which A can complete the work alone?
The sum of all values of a such that the equation
(x^2−x+a+1)^2=4a(5x^2−x+1)
has exactly three distinct real solutions, is of the form (n+root (k))/m, where k,m,n are integers, k≥0, m≥1 and m is the smallest possible. Find k+n+m.
For a composite positive integer x, denote by pd(x) the smallest positive difference between any two prime divisors of x. Find the smallest possible value of pd(x)for composite x of the form
x=n^100+n^99+...+n+1, where n is a positive integer.
Details and assumptions
You may find it useful to consult a table of primes.For example, since 429=3×11×13, pd(429)=|13−11|=2.
N gives remainder of 52 when divided by D. 5N gives a remainder of 4 when divided by D. Find the possible values of D.
LCM of (2^6)-1 and (2^9)-1 :
Pipe X and Y take 60 minutes and 90 minutes respectively to fill a cistern. Pipe Z can empty a cistern in 60 minutes. Pipe X and Y are opened when the tank is empty. Pipe Z is opened by an attender when the tank is half full. However, one rainy day, the attender comes late and delays the opening of the Pipe Z by 9 minutes.What is the time difference of the tank overflow on that day as compared to the other days?
5 people attend a party. At the end of the night, they each randomly grab a left shoe and a right shoe. The probability that each person leaves with exactly one of their own shoes can be expressed as a/b, where a and b are coprime positive integers. What is the value of a+b?
There were 4 parcels all of whose weights were integers (in kg). The weights of all the possible pairs of parcels were noted down and amongst these the distinct values observed were 94 kg, 97 kg,101 kg and 104 kg. Which of the following can be the weight of one of the parcels?
(a) 40 kg (b) 45 kg (c) 48 kg (d) 53 kg
Find the smallest prime number N such that the following is true:
The largest prime factor of N−1 is A;
The largest prime factor of A−1 is B;
The largest prime factor of B−1 is 7;
@vK3105 solve this
Let O be the origin and P be a point in the fourth quadrant on the x-y plane. Let 270∘
Please solve the attached question. OA will be posted soon 😃
@chillfactor What is the remainder when f(x)=x^2340+x^2335+x^2330+…+x^10+x^5+x^0 is divided by x^4+x^3+x^2+x+1?
As each term would be splitted all terms except x^0 are divisible as x^5
As x^5 divided by that x^4+x^3+x^2+x+1 remainder 1
Simlarly all terms are having remainder 1 ,remainder sum = no. Of terms from x^2340 to x^5
I.e. sum=468 sum
and at last x^0 would be added
Sum =468+1 (x^0)
Ans 469
a and b are positive numbers that satisfy the equation 1/a−1/b=1/(a+b).
Determine the value of a^6/b^6 + b^6/a^6
If the sum of 3 non-zero distinct real numbers a, b, and cis 2, and the two sets {a,b,c} and {1/a,1/b,1/c} are the same, what is the value of a^2+b^2+c^2?
NOTE :
Two sets are the same if there is a one-to-one correspondence between their elements. For example, the sets {1,2,3} and {3,2,1} are the same. Neither of them are the same as {1,2,1}
How many factors of 20! have unit digit of 5?
2068 , 1868 , 1728 , NOT
a and b are natural nos such that a>b>1 and 8! is divisible by a^2*b^2.how many sets of (a,b) are possible?
5 , 6 , 7 , 8👍