1

### IIT-JEE 2005 Screening

A rectangle with sides of lenght (2m - 1) and (2n - 1) units is divided into squares of unit lenght by drawing parallel lines as shown in the diagram, then the number of rectangles possible with odd side lengths is A
$${(m + n - 1)^2}$$
B
$${4^{m + n - 1}}$$
C
$${m^2}\,{n^2}$$
D
$$m(m + 1)\,n\,(m + 1)$$
2

### IIT-JEE 2002 Screening

The number of arrangements of the letters of the word BANANA in which the two N's do not appear adjacently is
A
40
B
60
C
80
D
100
3

### IIT-JEE 2001 Screening

Let $${T_n}$$ denote the number of triangles which can be formed using the vertices of a regular polygon of n sides. If $${T_{n + 1}} - {T_n} = 21$$, then n equals
A
5
B
7
C
6
D
4
4

### IIT-JEE 2000 Screening

How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions?
A
16
B
36
C
60
D
180

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