Recent questions tagged ch8

Gram stain : 1. Those that take up the gram stain are Gram positive 2. Those that do not are called Gram negative bacteria Regarding 1 and 2 :

asked Jan 3, 2014 by pady_1

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Bacteria can be classified into two groups - Gram positive and Gram negative on the basis of :

asked Jan 3, 2014 by pady_1

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Regarding prokaryotes and eukaryotes choose the incorrect option:

asked Jan 3, 2014 by pady_1

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Regarding plasmid DNA choose the incorrect option:

asked Jan 3, 2014 by pady_1

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Membrane bound organelles are absent in

asked Jan 3, 2014 by pady_1

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Choose the odd one out :

asked Jan 3, 2014 by pady_1

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1. Cells of bacteria could be 30 to 50 μm in length. 2. The largest isolated single cell is the egg of an ostrich. Regarding 1 and 2 :

asked Jan 3, 2014 by pady_1

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$Na^+/k^+$ Pump is

asked Jan 3, 2014 by pady_1

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1. Animal and plant cells contain non-membrane bound organelle called centriole 2. Centriole helps in cell division. Regarding 1 and 2 :

asked Jan 3, 2014 by pady_1

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The prokaryotic cells have

asked Jan 3, 2014 by pady_1

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1. The eukaryotic cells have other membrane bound distinct structures called organelles. 2. The prokaryotic cells lack membrane bound organelles. Regarding 1 and 2 :

asked Jan 3, 2014 by pady_1

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1. The cytoplasm is the main arena of cellular activities in both the plant and animal cells. 2. Various chemical reactions occur in it to keep the cell in the ‘living state’. Regarding 1 and 2 :

asked Jan 3, 2014 by pady_1

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In both prokaryotic and eukaryotic cells, A semi-fluid matrix, cytoplasm occupies the volume of the cell in :

asked Jan 3, 2014 by pady_1

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1. Cells that have membrane bound nuclei are called eukaryotic 2. Cells that lack a membrane bound nucleus are called prokaryotic. Regarding 1 and 2 :

asked Jan 3, 2014 by pady_1

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Omnis cellula-e cellula means :

asked Jan 3, 2014 by pady_1

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Cell theory : 1. All living organisms are composed of cells and products of cells. 2. All cells arise from pre-existing cells.

asked Jan 3, 2014 by pady_1

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1. Schleiden and Schwann together formulated the cell theory. 2. This theory explains how new cells were formed from prexisting cells.

asked Jan 3, 2014 by pady_1

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1. Anton Von Leeuwenhoek first saw and described a live cell. 2. Robert Brown later discovered the nucleus. Regarding 1 and 2 :

asked Jan 3, 2014 by pady_1

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Regarding Cell : Assertion (A): Cell is the fundamental structural and functional unit of all living organisms. Reason (R): Anything less than a complete structure of a cell does not ensure independent living. Regarding (A) and (R) :

asked Jan 3, 2014 by pady_1

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Unicellular organisms are capable of :

asked Jan 3, 2014 by pady_1

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Regarding Reductionist Biology choose the incorrect one :

asked Jan 3, 2014 by pady_1

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Find the area enclosed by the curve $y^2+1=x,x\leq 2$ and the line $x=2$.

asked Dec 22, 2013 by balaji.thirumalai

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The term independent of $x$ in the expansion $\bigg(\large\frac{x+1}{x^{\large\frac{2}{3}}-x^{\large\frac{1}{3}}+1}-\frac{x-1}{x-\sqrt x}\bigg)^{10}$ is ?

asked Dec 1, 2013 by rvidyagovindarajan_1

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If in the expansion of $(x+a)^{15},$ the $11^{th}$ term is $G.M.$ of $8^{th} $ & $12^{th}$ terms, then which term is the greatest term?

asked Nov 24, 2013 by rvidyagovindarajan_1

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If the sum of $5^{th}\:and\:6^{th}$ terms in the expansion of $(a-b)^n$, $n\geq5$, is 0, then $\large\frac{a}{b}$ = ?

asked Nov 24, 2013 by rvidyagovindarajan_1

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If the sum of the coefficients of $(1+x)^n=4096$, then the largest coefficient is ?

asked Nov 24, 2013 by rvidyagovindarajan_1

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The value of $^nC_0.^{2n}C_r$ - $^nC_1^{2-2}C_r$ + $^nC_2.^{2n-4}C_r$ - ...., if $r \lt n$ is

asked Nov 24, 2013 by rvidyagovindarajan_1

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Coeff. of $x^{50}$ in $(1+x)^{1000}$ + $x(1+x)^{999}$ + $x^2(1+x)^{998}$ + .... + $x^{1000}$ is

asked Nov 23, 2013 by rvidyagovindarajan_1

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$53^{53} - 33^{33}$ is divisible by

asked Nov 22, 2013 by rvidyagovindarajan_1

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A student is allowed to select at the most n books from a collection of $2n+1$ books. The no. of ways in which he can select at least one book is 63, then $n$ = ?

asked Oct 28, 2013 by rvidyagovindarajan_1

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$^nC_0.^nC_1$ + $^nC_1.^nC_2$ + $....^nC_{n-1}.^nC_n$ = ?

asked Oct 27, 2013 by rvidyagovindarajan_1

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If the $4^{th}$ term in the expansion of $\big(x^2-\large\frac{1}{x^3}\big)^n$ is independent of $x$, then $n=?$

asked Oct 26, 2013 by rvidyagovindarajan_1

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The remainder when $5^{99}$ is divided by $13$ is

asked Oct 26, 2013 by rvidyagovindarajan_1

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$\large\frac{^8C_0}{6}$ - $^8C_1$ + $^8C_2.6$ + $....$ + $^8C_8.6^7$ = ?

asked Oct 26, 2013 by rvidyagovindarajan_1

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If $(1+\sqrt 2)^n=x_n+y_n\sqrt 2$, where $x_n,y_n$ are integers, then

asked Oct 23, 2013 by rvidyagovindarajan_1

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If the sum of the coefficients in the expansion of $(b+c)^{20}[1+(a-2)x]^{20}$ is square of the sum of the coefficients in the expansion $[2bcx-(b+c)y]^{10}$ where $a,b,c$ are positive constants, then $a,b,c$ satisfies the equation?

asked Oct 23, 2013 by rvidyagovindarajan_1

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The sum of the coefficients of integral powers of $x$ in the expansion of $(1+\sqrt x)^{40}$ is

asked Oct 22, 2013 by rvidyagovindarajan_1

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The coefficient of the term independent of $x$ in the expansion of $\bigg[\large\frac{x+1}{x^{2/3}-x^{1/3}+1}-\frac{x-1}{x-\sqrt x}\bigg]^{\normalsize 10}$ is ?

asked Oct 22, 2013 by rvidyagovindarajan_1

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The number of dissimilar terms in the expansion of $(x_1+x_2+.....x_n)^3$ is ?

asked Oct 22, 2013 by rvidyagovindarajan_1

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If $x\in R,$ then the value of $S=1-^nC_1.\large\frac{1+x}{1+nx}$$+^nC_2.\large\frac{1+2x}{(1+nx)^2}$$-^nC_3.\large\frac{1+3x}{(1+nx)^3}$$+..............(n+1) $terms = ?

asked Oct 21, 2013 by rvidyagovindarajan_1

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The coefficient if $x^{10}$ in the expansion $(1+x^2-x^3)^8$ is ?

asked Oct 21, 2013 by rvidyagovindarajan_1

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If the last term in the expansion of $\bigg(2^{\large\frac{1}{3}}-\frac{1}{\sqrt{ 2}}\bigg)^n $ is $\bigg(\large\frac{1}{3^{\large\frac{5}{3}}}\bigg)^{log_38}$, then the $5^{th} $ term from the beginning is ?

asked Oct 20, 2013 by rvidyagovindarajan_1

1 answer

If the sum of the coefficients of $1^{st},\:2^{nd}$ and $3^{rd}$ terms in the expansion of $(x^2+\large\frac{1}{x})$$^n $ is $46$, then the coefficient of the term independent of $x$ = ?

asked Oct 20, 2013 by rvidyagovindarajan_1

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The sum of rational terms in the expansion of $(2^{\large\frac{1}{5}}$$+\sqrt 3)^{20}$ is

asked Oct 19, 2013 by rvidyagovindarajan_1

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The sum of last $30$ coefficients in the expansion of $(1+x)^{59}$ when expanded in ascending power of $x$ is ?

asked Oct 19, 2013 by rvidyagovindarajan_1

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The interval in which $x$ must lie so that the greatest term in the expansion of $(1+x)^{2n}$, ($x>0$) has greatest coefficient is

asked Oct 16, 2013 by rvidyagovindarajan_1

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$(1+x)^n-nx-1$ is divisible by ?

asked Oct 16, 2013 by rvidyagovindarajan_1

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The remainder when $2^{2003}$ is divided by $17$ is ?

asked Oct 16, 2013 by rvidyagovindarajan_1

1 answer

Sum of $(n+1)$ terms of the series $\large\frac{^nC_0}{2}$ - $\frac{^nC_1}{3}$ + $\frac{^nC_2}{4}$ - ...... = ?

asked Oct 16, 2013 by rvidyagovindarajan_1

1 answer

If $n\in N$, then the value of $\displaystyle\sum_{r=0} ^{n} (-1)^r \large\frac{^nC_r}{^{r+2}C_r}$ is

asked Oct 15, 2013 by rvidyagovindarajan_1

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