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f f(x) is an even function of x and g(x) is an odd function, then which of the following is true?
A. f[g(x)] is even, g[f(x)] is odd.
B. f[g(x)] is odd, g[f(x)] is even.
C. f[g(x)] is odd, g[f(x)] is odd.
D. f[g(x)] is even, g[f(x)] is even.
all natural numbers starting from 1 are written side by side. what is the 2000th digit of this number
P and Q are real numbers, not both of which are 0. (P^2000/y-1)+ (Q^2000/y)= 1. How many real values of y satisfy the given equation?
- 0
- 1 & 2
- 2
- 1
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Numbers of Pairs of (x,y) such that product of x,y and hcf(x,y) is 1080. I.e. X*Y*HCF(X,Y) =1080?
Please explain the approach
There are 42 coins with me . I want to give it to two of my nephews such that both of them get prime number of coins . In how many ways i can do that ?
Please explain 21 .answer is Rs 41
How to solve this?
Can anybody please solve 20?
On the last day of college, students exchanged autographs with each other. A total of 870 autographs were exchanged. How many students were there?
Solution pls. Would this be n(n-1)/2?
Please explain
99^n is such a number begin with 8, least value of n?
A mother with 7 children takes three at a time to a cinema. She goes with every group of three that she with distinct can form. How many times can she go to the cinema with distinct groups of three children. How many times an individual child will go to cinema before the group is repeated ?
(9999999999)^3 what is the sum of the digits?
The word HIDING conceals a six digit prime number. Each distinct letter represents a single digit. H,I And D are prime,and consecutive letter pairs HI,DI,and NG are two digit primes all permutations of H and two I's are prime,while HIH is divisible by (2D+1) if N=2^I . Find H+I+D+I+N-G ?
The first part
All Natural Numbers from 1 to 125 (in decimal system) are written in base 7. How many of these numbers will contain digit 1?
A pastry shop sells four kinds of pastries. In how many distinct ways can one buy 7 pastries?
If a sum, compounded annually, doubles in 7 years, than in how many years will it be 4 times of the original sum ?
Please also provide Explanation for your answer. Thanks a lot.
An ore contains 25% of an alloy that has 90% iron .Other than this , in the remaining 75% of the ore , there is no iron .How many kilograms of the ore are needed to obtain 60kg of pure iron?
A)250kg B)275kg C)300kg D)266.66 kg