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

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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. [tex]{1 \over 2}[/tex]      B. [tex]{1 \over 4}[/tex]      C. [tex]{1 \over 3}[/tex]     D. [tex]{1 \over 6}[/tex]

 

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. [tex]{1 \over 16}[/tex]      B.  [tex]{1 \over 2}[/tex]      C.  [tex]{1 \over 8}[/tex]     D.  [tex]{1 \over 4}[/tex]

 

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

 

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

 

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

A. [tex]2{\log _e}2 + 1[/tex]  B. [tex]2{\log _e}2[/tex]    C. [tex]2{\log _e}2 - 1[/tex]   D. [tex]{\log _e}2 - 1[/tex]

 

 

 

 

 

 

 

 

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