what is the next number in the sequence: 0,6,29,63, 124?
Let f(x) be a polynomial such that
f(f(x))−x^2=x × f(x).Find f(−100).
There are 7 persons in a college. What is the probability that two of them were born on the same day of the week ?
A cat takes 5 leaps for every 4 leaps of a dog,but 3 leaps of dog are equal to 4 leaps of cat. Find ratio of speed of cat and dog?
Let Pn be the set of all subsets of the set [n]={1,2,…,n}. If two distinct elements of P5 are chosen at random, the expected number of elements (of [n]) that they have in common can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?
Details and assumptions
As an explicit example, P2={∅,{1},{2},{1,2}}. {1} and {1,2} are 2 elements of P2, which have 1 element in common.
25 sets of problem on data Interpretaion one each for the DI sections of 25 CATALYST test were perpared by the AMS research team. The DI section of each CATALYST contained 50 ques of which exactly 35 questions were unique , i.e they had not been used in the DI section of any of the other 24 CATALYSTs. What could be the maximum possible number of questions prepared for the DI sections of all the 25 CATALYSTs put together? Please xplain this
a)1100 b)975 c)1070 d) 1055
How many 3- digit even number can you form such that if one of digits is 5, the following digit must be 7 ?
two pipes can fill a cistern in 14 n 16 hrs. the pipes r open simultaneously n its is found that due to leakage in the, it takes 32 min xtra for the cistren to be filled up. when the cistern is full, wat time will the leak empty it?
please explain question
Three runners' ajay, bharath and charan run a race with ajay finishing 20mts ahead of bharath and 34 mts ahead of charan, while bharath finishes 21 mts ahead of charan. Each runner travels the entire distance at a constant speed. What was the length of the race?
What is the remainder when 1! + 2 × 2! + 3 × 3! + 4 × 4! + … + 12 × 12! is divided by 13?
(a) 1 (b) 12 (c) 11 (d) 0
Give the approach..
Let m and n be two five-digit positive integers with m > n . It is known that the 10 digits of m and n are all different. Find the smallest possible value of m - n .
A man completes 3 jobs A, B, C in total 47 minutes. He takes 'a' minutes 'b' seconds for job A, 'c' minutes 'd' seconds for job B and 'e' minutes 'f' seconds for job C such that a divides b, c divides d and e divides f (a, b, c, d, e, f are all integers). Find the maximum possible value of b/a + d/c + f/e
Three towns Alepy, Bistel, and Galactus are equidistant from each other. If my car is three miles from Alepy and four miles from Galactus, what is the maximum possible distance of the car from Bistel? Assume the land is flat.
In How Many Ways is it possible to choose a white square and a black square on a chess board so that the squares must not lie in same row or coloumn? (with explanation please)
Let f(x) be a polynomial such that f(f(x))−x^2=xf(x). Find f(−100).
ABCD is a square. P is a point within ABCD such that PA=1,PB=29 and PC=41. What is the area of square ABCD
Different positive integers are written on the faces of the cube, one on each face, such that HCF of number on numbers written on any two adjacent faces is 1. Find the minimum possible sum of the six numbers.
six positive no are taken at random and are multiplied together . Then what is the probability that the product ends in an odd digit other than 5.
p, q, r are roots of equation x^3 - 12x^2 + 9x + 3 = 0. Find the value of pq(p + q) + qr(q + r) + rp(r + p)
karan's salary before he got an increment was 30% of the total income of the family.If his increment is 1/6th of his salary, then what percentage of his family's total income is his salary?
Please provide your logic also.thanks in advance.