W.B. Joint Entrance- 2011 Mathematics Paper (English Version)

WEST BENGAL JOINT ENTRANCE EXAMINATION,2011

MATHEMATICS

( English Version )

 

1.  4 boys and 2 girls occupy seats in a row at random. Then the probability that the two girls occupy seats side by side is

A. {1 \over 2}      B. {1 \over 4}      C. {1 \over 3}     D. {1 \over 6}

 

2. A coin is tossed again and again. If tail appears on first three tosses, then the chance that head appears on fourth toss is

A. {1 \over 16}      B.  {1 \over 2}      C.  {1 \over 8}     D.  {1 \over 4}

 

3. The coefficient of xn in the expansion of xn in the expansion of {{{e^{7x}} - {e^x}} \over {{e^{3x}}}}

 

A. {{{4^{n - 1}} - {{( - 2)}^{n - 1}}} \over {n!}}   B. {{{4^{n - 1}} - {2^{n - 1}}} \over {n!}}  C. {{{4^n} - {2^n}} \over {n!}}   D. {{{4^n} + {{( - 2)}^n}} \over {n!}}

 

4. The sum of the series {1 \over {1.2}} - {1 \over {2.3}} + {1 \over {3.4}} -  \cdots \infty

A. 2{\log _e}2 + 1  B. 2{\log _e}2    C. 2{\log _e}2 - 1   D. {\log _e}2 - 1