Rooted to roots

If f(x) = x^n – a = 0, how many REAL roots does x have?

(1) a < 0
(2) n = 2k, where k is a positive integer

Speed,

There are quite a few decent ones in Chennai - PR, Kaplan etc. I took classes from 4gmat, which immensely helped me. Do some research before you join a prep institute.

Depends on the difficulty level of the questions you have answered incorrectly

Take any two +ve consecutive integers:

eg. 17 and 18

17 = 17*1
18 = 2*3*3*1

HCF of (a,b) is the biggest number that can divide both a and b

In this case, the only common factor of 1.

You can test the same for any 2 consecutive +ve integers

1,2
100,101
1399,1400 etc...

I meant distance along the axes I am quoting nervesofsteel's post here: A)insufficient as if line passes through (0,1) and ( -2,0) slope is 1/2 if it passes through (0,1) and (2,0) the slope becomes -1/2.. so insufficient.. B) Line passing through quads cannot give an idea about slope... if line pas...

x = 1/2

|x| = 1/2; 1/x = 1/(1/2) = 2

=> |x| < (1/x); satisfies the given condition

If S = {2, 3, x, y}, what is the value of x + y? (1) x and y are prime numbers. (2) 3, x, and y are consecutive odd statement 1: x and y are prime, could be any values statement 2: TRICKY!!! 3, x, and y are consecutive odd => x = 1, then comes 3 then y = 5 OR 3, x, and y are consecutive odd => 3, th...