1
IIT-JEE 2005 Screening
MCQ (Single Correct Answer)
+2
-0.5
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 IIT-JEE 2005 Screening Mathematics - Permutations and Combinations Question 32 English
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 2005 Screening
MCQ (Single Correct Answer)
+2
-0.5
If the LCM of p, q is $${r^2}\,{r^4}\,{s^2}$$, where r, s, t are prime numbers and p, q are the positive integers then number of ordered pair (p, q) is
A
252
B
254
C
225
D
224
3
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+2
-0.5
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
4
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
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
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