1
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
2
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
3
IIT-JEE 2005 Screening
MCQ (Single Correct Answer)
+2
-0.5
The value of $$$\left( {\matrix{
{30} \cr
0 \cr
} } \right)\left( {\matrix{
{30} \cr
{10} \cr
} } \right) - \left( {\matrix{
{30} \cr
1 \cr
} } \right)\left( {\matrix{
{30} \cr
{11} \cr
} } \right) + \left( {\matrix{
{30} \cr
2 \cr
} } \right)\left( {\matrix{
{30} \cr
{12} \cr
} } \right)....... + \left( {\matrix{
{30} \cr
{20} \cr
} } \right)\left( {\matrix{
{30} \cr
{30} \cr
} } \right)$$$
is where $$\left( {\matrix{ n \cr r \cr } } \right) = {}^n{C_r}$$
is where $$\left( {\matrix{ n \cr r \cr } } \right) = {}^n{C_r}$$
4
IIT-JEE 2005 Screening
MCQ (Single Correct Answer)
+2
-0.5
$$\cos \left( {\alpha - \beta } \right) = 1$$ and $$\,\cos \left( {\alpha + \beta } \right) = 1/e$$ where $$\alpha ,\,\beta \in \left[ { - \pi ,\pi } \right].$$
Paris of $$\alpha ,\,\beta $$ which satisfy both the equations is/are
Paris of $$\alpha ,\,\beta $$ which satisfy both the equations is/are
Paper analysis
Total Questions
Chemistry
3
Mathematics
22
Physics
2
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