Recently Active Fundamentals Questions

guys post all your number sequence problems in this thread... with Manmay's idea To start off... for practice P.S. the hidden part contains the answers... I) For the following find the ODD MAN OUT 1) 10,14,16,18,21,24,26 a)26 ...

Let N=\left\{1,2,3...n \right\} be a set of elements called voters. Given that S \amalg N means S is a subset of the set N. Let \C=\left\{S:S\amalg N \right\} be the set of all subsets of N. Members of C are called coalitions ...

make 4 equilateral triangles with 7sticks (all the sticks are of equal length) ...

For natural n>1 let 3n+1 be a perfect square. Prove (n+1) can be written as a sum of 3 perfect squares, not all of which may be distinct. ...

Q1.Find the dimensions of the rectangle of greatest area that can be inscribed in a semi-circle of radius 10 2 Q2.(1+y2)dx=(tan-1 y-x)dy Q3.find the locus of z if Amp z-1/z+1 = pi/4 PLZ TELL ME THE ANS . ...

1.. 1-x2 + 1-y2 = a(x-y) then dy/dx is a) (1-x2)/(1-y2) b) (1-y2)/ (1-x2) c) ( 1-x2)/(1-y2 ) d) 1-y2)/ (1-x2) 2. If y= cosec x (cot–1x) thendy/dx a. x/ 1-x2 b) -x/ 1+x2 c) x/ 1+x2 d) None 3. The tangents to the circle x2 + ...

1. If y= cosec x (cot–1x) thendy/dx a. x/ 1-x2 b) -x/ 1+x2 c) x/ 1+x2 d) None 5. If A and B are such events that P(A) > 0 and P(B) ≠1 then P( A/B ) is equal to a) 1– P(A∪B)/P(B) b) P(A)/P(B) c)1-P(A)/P(B) d)1-P(B/A ...

5. The solution of the differential equation cos2 xdy/dx+y = tan x is (a) y = tanx + ce–tan x (b) y = (tanx + 1) + cetanx (c) y = (tanx – 1) + cetanx (d) y = (tanx – 1) + ce–tanx 6. The solution of the differential eq ...

2. 1-x2 + 1-y2 = a(x-y) then dy/dx is a) (1-x2)/(1-y2) b) (1-y2)/ (1-x2) c) ( 1-x2)/(1-y2 ) d) 1-y2)/ (1-x2) ...

cud anyone please explain me the implies statement and if and only if statement and how the truth tables are formed...please need serious help... ...

1.Statement I : gof : A → C is one one Statement II - gof : A → C is onto 2. let A nd B be two events such that P(A ∩ B) =1/4 and P(A)=1/2 and P(B)= 1/2 then A- A and B are independent events R- P(A ∩ B) ≠P(A).P(B) ...

is 111...(30 times ) divisible by 17 ...

draw d graph of [y]=[x]... ...

x2+y2=1....is a circle.. so, y2=1-x2...is a circle.. implies.., y=± 1-x2 ... so what is the graph of y=± 1-x2 (sin x) please help...also point out wether or not the doubt makes any sense... ...

chalo let me post some graph doubts here... how to draw the graph of f(x) such that f(x)=1/g(x) chalo lets take the example of y=1/sin x ...

A request to all who spend time here...especially the seniors....can u please start a thread on graphs...how to draw them using and without using calculus ,......., asymptotes and everything....for THE BEGINNERS ? ...

IF DELHI IS CAPITAL OF INDIA THEN , INDIA IS ----------------- OF DELHI [fill in the blank] ...

If both product and sum of 2 positive reals are integers, are these reals necessarily integers individually? ...

This is not any biggie.....not my doubt, just wanted to post something after a long time...lol Find all positive solutions of the system of equations.... a+b+c+d=12 abcd=27+Σab ...

A team needs 7 runs to win from 3 balls. both batsmen at crease are at 94 runs each. At end of the match , both batsmen score centuries and the team wins.how is it possible?BOTH BATSMAN SHOULD BE NOT OUT. ...

U hav been given 4 zeros , and u hav to make the number 120 out of them , u can carry out any mathematical operation on these 4 zeros , but only valid ones , for eg: 0 + 0 , 0 - 0 , etc but u shud get the no.120 out of only t ...

At least two of the nonnegative real numbers $ a_{1},a_{2},...,a_{n} $ are nonzero. Decide whether a or b is larger if $ a=\sqrt[2002]{a_{1}^{2002}+a_{2}^{2002}+\ldots+a_{n}^{2002}} $ and $ b=\sqrt[2003]{a_{1}^{2003}+a_{2}^{2 ...

sum 1 tel me...................... Sum of d factors of 10! which are odd and are of d form "3m+2", m belongs to N ...

Fermat's Little theorem states taht .... If p is prime, then P divides ap-a A good question for congruences.... To understand and implement it.... I am giving the guidelines on how to approach and solve.. see if it fits your ...

A continuation of what b555 started, I'm posting here another theorem namely the Totient theorem or the famous "EULER'S-PHI-FUNCTION-FORMULA" to ease the mod-bashings....beleive me this is another tool to ease rem calculation ...

I need a graph of eq [x]+[y]=5 ,where [ ]represents greatest integer function ...

Find the domain of k if nCr = (k2 - 2k - 7 )n+1Cr+1. ...

Find the number of ways in which we can choose 2 distinct integers from 1 to 200 so that the difference between them is atmost 20. ...

A person is to walk from A to B. However he is restricted to walk only to the right of A or upward of A, but not necessarily in this order. in the figure there are m vertical and n horizontal lines. Determine the total number ...

If sin2x=1 Then what is the no. of solutions it has in [ -3∩ , 4∩ ] ? ...