Register

CAT 2002 | Question: 76

• edited by
1,118 views
0 0 votes

For all real $\text{X, [X]}$ represents the greatest integer. If $\text{L(X,Y) = [X] + [Y] + [X+Y]}$ and $\text{G(X, Y) = [2X] + [2Y]}.$ Then the ordered pair $\text{(X,Y)}$ cannot be determined if

  1. $\text{L(X,Y) > G(X,Y)}$
  2. $\text{L(X,Y) + G(X,Y)}$
  3. $\text{L(X,Y) < G(X,Y)}$
  4. None of these

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
← Previous · CAT 2002 | Question:...Next → · CAT 2002 | Question:...
← Previous in category · CAT 2002 | Question:...Next in category → · CAT 2002 | Question:...
Position:
Show:

Related questions

0 0 votes
0 0 answers
1.5k
1.5k views
go_editor asked May 2, 2016
1,480 views
CAT 2002 | Question: 90
The $n$th element of a series is represented as$X_n = (-1)^n x_{n-1}$If $X_0 =x$ and $x>0$, then which of the following is always true?$X_n$ is positive if $n$ is even$X_...
0 0 votes
0 0 answers
1.1k
1.1k views
go_editor asked Mar 2, 2016
1,075 views
CAT 2002 | Question: 72
The remainder when $2^{256}$ is divided by $17$ is$7$$13$$11$$1$
0 0 votes
0 0 answers
1.1k
1.1k views
go_editor asked Mar 2, 2016
1,069 views
CAT 2002 | Question: 67
If $\text{U, V, W}$ and $m$ are natural numbers such that $\text{U}^m + \text{V}^m = \text{W}^m$, then which of the following is true?$m < \min\text{(U, V, W)}$$m \max\t...
0 0 votes
0 0 answers
1.1k
1.1k views
go_editor asked Mar 2, 2016
1,149 views
CAT 2002 | Question: 63
$n_1, n_2, n_3, \dots, n_{10}$ are 10 numbers such that $n_1 0$ and the numbers are given in ascending order. How many triplets can be formed using these numbers such th...
1 1 vote
0 0 answers
1.2k
1.2k views
go_editor asked Mar 2, 2016
1,176 views
CAT 2002 | Question: 62
For all integers $n>0, \: \: 7^{6n} - 6^{6n}$ is divisible by$13$$128$$549$None of these