Find the no. of divisors of N=27 x 35 x 53 which are of the form 4t +1 , where t is a natural number
How many natural numbers satisfy the inequality 8x + 2y ≤ 24?
1. 8
2. 12
3. 10
4. 15
5. 16
k = (x + y)* (1divide by x+1 divide by y, x, y ≠ 0; which of the following is the best description of K?
1. k ≥ 2
2. k ≥ 4
3. k ≤ 2
4. k ≤ 4
5. – 4 ≤ k ≤ 4
If (4^log 3 base a) + (a^log 4 base 2) = 10^log 83 base y. Then y = ?
Both roots of X^2-63X+K=0 are primes
find sum of all possible values of K
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What is the smallest positive integer a for which there are at least 11 even and 11 odd positive integers b so that (b^3 +a)/(b+2) is an integer?
(a) 268
(b) 448
(c) 638
(d) 858
An equilateral triangle with side length 33 is divided into 33^2 smaller unit equilateral triangles each with side 1, forming a triangular lattice. We color each segment of length 1 either Red, Blue or Green, subject to the condition that each small unit equilateral triangle has 3 sides with either 3 different colors or all the same color. If there are N distinct ways to color this triangle, what is the value of ⌊log with base 9 of N⌋?
Here |x| represent integer just less than it eg |2.3|=2
Details and assumptions
Two colorings are distinct if at least one segment is colored differently. Rotations and reflections are considered distinct colorings. Given a single unit equilateral triangle, there are 9 ways that it can be colored.
Two players are playing a game where n coins are arranged from left to right in a line with each coin showing heads. On a turn, a player chooses 8 coins in a row such that the leftmost coin shows heads and flips those coins over. The last player who is able to make a move is the winner. Of the 1031 different games with 105≤n≤1135, for how many of these does the first player have a winning strategy?
could anyone share genesis material here? i have geometry , tsd and number system,.
using 1,2,3,4 and 5, without repetition, how many four digit numbers can be formed such that the digits of the number, from left to right, are in ascending order?
help somebody!!
If Sn is defined as the sum of n terms of a series S such that S= 2^66-2^65-2^64.......
A) What is S22
B) If Um be defined as the sum of m terms of the series V where V = Sm+S(m+1)+ S(m+2)...Find U35👍
The number of integer solutions of the equation xy = 2x – y is :
-@A
Let a1,a2,a3...a10 are in AP and h1,h2,h3...h10 be in HP..if a1=h1=2 and a10=h10=3 then a4h7=?👍
In a G-20 meeting there were total 20 people representing their own country.All the representive sat around a circular table.Find the no of ways in which we can arrange them around a circular table so that there is exactly one person between 2 representatives namely Manmohon and Musharaf . It is also known that the person from China will never sit between the 2👍
12!/(2!)^5 - 11!/(2!)^4 = 5* (11!)/(2!)^4
Please explain me the approach! How do we solve LHS like this?
Thank you! 😃
In a three-digit number, the unit digit is twice the tens digit and the tens digit is twice the hundreds digit. The same number is written as 1XY and 1YX in base 8 and base 9 respectively. Find the sum of X and Y in the decimal system.(a) 15 (b) 7 (c) 11 (d) Cannot be determined 👍
A and B travel around a circular path at uniform speed in opposite direction , starting from diametrically opposite points at the same time.they meet each other first after B has traveled 100 mtrs and meet again 60 mtrs before A completed one round . the circumference of the park is ?
Yamini and Zora are standing 25 km apart. Zora starts moving towards Yamini. After 40 minutes Yamini also starts moving towards Zora. By the time Yamini covers 5 km, Zora has covered 15 km.They meet at a point 7 km from the starting point of Yamini. What is the speed of Yamini?(a) 7.5 km/h (b) 10.5 km/h (c) 17.5 km/h (d) 6 km/h🍻
if x,y are positive and xy^2 = 27 , find the minimum value of 32x+y