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InterviewSolutions

<p>The number of ways of choosing <span class="mjx-chtml" id="MathJax-Element-1-Frame"><span class="mjx-math" id="MJXc-Node-559293"><span class="mjx-mrow" id="MJXc-Node-559294"><span class="mjx-mn" id="MJXc-Node-559295"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span> cards from a pack of <span class="mjx-chtml" id="MathJax-Element-2-Frame"><span class="mjx-math" id="MJXc-Node-559296"><span class="mjx-mrow" id="MJXc-Node-559297"><span class="mjx-mn" id="MJXc-Node-559298"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">52</span></span></span></span></span> where atleast one face card is choosen<br></p>
An organism having a whip-like structure at one end which reproduces by the process of binary fission is :<br> (a) Hydra<br> (b) Paramecium<br> (c) Leishmania<br> (d) Plasmodium
<p>Let <span class="mjx-chtml" id="MathJax-Element-1-Frame"><span class="mjx-math" id="MJXc-Node-349014"><span class="mjx-mrow" id="MJXc-Node-349015"><span class="mjx-mi" id="MJXc-Node-349016"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.446em; padding-bottom: 0.298em; padding-right: 0.109em;">P</span></span><span class="mjx-mo" id="MJXc-Node-349017"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.593em;">(</span></span><span class="mjx-mn" id="MJXc-Node-349018"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">3</span></span><span class="mjx-mo" id="MJXc-Node-349019"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.144em; padding-bottom: 0.519em;">,</span></span><span class="mjx-mn MJXc-space1" id="MJXc-Node-349020"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">3</span></span><span class="mjx-mo" id="MJXc-Node-349021"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.593em;">)</span></span></span></span></span> be a point on the hyperbola, <span class="mjx-chtml" id="MathJax-Element-2-Frame"><span class="mjx-math" id="MJXc-Node-349022"><span class="mjx-mrow" id="MJXc-Node-349023"><span class="mjx-mstyle" id="MJXc-Node-349024"><span class="mjx-mrow" id="MJXc-Node-349025"><span class="mjx-mfrac" id="MJXc-Node-349026"><span class="mjx-box MJXc-stacked" style="width: 1.161em; padding: 0px 0.12em;"><span class="mjx-numerator" style="width: 1.161em; top: -1.528em;"><span class="mjx-msubsup" id="MJXc-Node-349027"><span class="mjx-base"><span class="mjx-mi" id="MJXc-Node-349028"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">x</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.513em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-349029" style=""><span class="mjx-mrow" id="MJXc-Node-349030"><span class="mjx-mn" id="MJXc-Node-349031"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span></span><span class="mjx-denominator" style="width: 1.161em; bottom: -0.853em;"><span class="mjx-msubsup" id="MJXc-Node-349032"><span class="mjx-base"><span class="mjx-mi" id="MJXc-Node-349033"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">a</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.409em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-349034" style=""><span class="mjx-mrow" id="MJXc-Node-349035"><span class="mjx-mn" id="MJXc-Node-349036"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span></span><span class="mjx-line" style="border-bottom: 1.3px solid; top: -0.296em; width: 1.161em;"></span></span><span class="mjx-vsize" style="height: 2.381em; vertical-align: -0.853em;"></span></span></span></span><span class="mjx-mo MJXc-space2" id="MJXc-Node-349037"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.446em;">−</span></span><span class="mjx-mstyle MJXc-space2" id="MJXc-Node-349038"><span class="mjx-mrow" id="MJXc-Node-349039"><span class="mjx-mfrac" id="MJXc-Node-349040"><span class="mjx-box MJXc-stacked" style="width: 1.137em; padding: 0px 0.12em;"><span class="mjx-numerator" style="width: 1.137em; top: -1.622em;"><span class="mjx-msubsup" id="MJXc-Node-349041"><span class="mjx-base" style="margin-right: -0.006em;"><span class="mjx-mi" id="MJXc-Node-349042"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.519em; padding-right: 0.006em;">y</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.513em; padding-left: 0.082em; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-349043" style=""><span class="mjx-mrow" id="MJXc-Node-349044"><span class="mjx-mn" id="MJXc-Node-349045"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span></span><span class="mjx-denominator" style="width: 1.137em; bottom: -0.854em;"><span class="mjx-msubsup" id="MJXc-Node-349046"><span class="mjx-base"><span class="mjx-mi" id="MJXc-Node-349047"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.446em; padding-bottom: 0.298em;">b</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.409em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-349048" style=""><span class="mjx-mrow" id="MJXc-Node-349049"><span class="mjx-mn" id="MJXc-Node-349050"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span></span><span class="mjx-line" style="border-bottom: 1.3px solid; top: -0.296em; width: 1.137em;"></span></span><span class="mjx-vsize" style="height: 2.475em; vertical-align: -0.854em;"></span></span></span></span><span class="mjx-mo MJXc-space3" id="MJXc-Node-349051"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.077em; padding-bottom: 0.298em;">=</span></span><span class="mjx-mn MJXc-space3" id="MJXc-Node-349052"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">1</span></span></span></span></span>. If the normal to it at <span class="mjx-chtml" id="MathJax-Element-3-Frame"><span class="mjx-math" id="MJXc-Node-349053"><span class="mjx-mrow" id="MJXc-Node-349054"><span class="mjx-mi" id="MJXc-Node-349055"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.446em; padding-bottom: 0.298em; padding-right: 0.109em;">P</span></span></span></span></span> intersects the <span class="mjx-chtml" id="MathJax-Element-4-Frame"><span class="mjx-math" id="MJXc-Node-349056"><span class="mjx-mrow" id="MJXc-Node-349057"><span class="mjx-mi" id="MJXc-Node-349058"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">x</span></span><span class="mjx-mo" id="MJXc-Node-349059"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.446em;">−</span></span></span></span></span>axis at <span class="mjx-chtml" id="MathJax-Element-5-Frame"><span class="mjx-math" id="MJXc-Node-349060"><span class="mjx-mrow" id="MJXc-Node-349061"><span class="mjx-mo" id="MJXc-Node-349062"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.593em;">(</span></span><span class="mjx-mn" id="MJXc-Node-349063"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">9</span></span><span class="mjx-mo" id="MJXc-Node-349064"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.144em; padding-bottom: 0.519em;">,</span></span><span class="mjx-mn MJXc-space1" id="MJXc-Node-349065"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">0</span></span><span class="mjx-mo" id="MJXc-Node-349066"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.593em;">)</span></span></span></span></span> and <span class="mjx-chtml" id="MathJax-Element-6-Frame"><span class="mjx-math" id="MJXc-Node-349067"><span class="mjx-mrow" id="MJXc-Node-349068"><span class="mjx-mi" id="MJXc-Node-349069"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">e</span></span></span></span></span> is its eccentricity, then the ordered pair <span class="mjx-chtml" id="MathJax-Element-7-Frame"><span class="mjx-math" id="MJXc-Node-349070"><span class="mjx-mrow" id="MJXc-Node-349071"><span class="mjx-mo" id="MJXc-Node-349072"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.593em;">(</span></span><span class="mjx-msubsup" id="MJXc-Node-349073"><span class="mjx-base"><span class="mjx-mi" id="MJXc-Node-349074"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">a</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.513em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-349075" style=""><span class="mjx-mrow" id="MJXc-Node-349076"><span class="mjx-mn" id="MJXc-Node-349077"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span><span class="mjx-mo" id="MJXc-Node-349078"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.144em; padding-bottom: 0.519em;">,</span></span><span class="mjx-msubsup MJXc-space1" id="MJXc-Node-349079"><span class="mjx-base"><span class="mjx-mi" id="MJXc-Node-349080"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">e</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.513em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-349081" style=""><span class="mjx-mrow" id="MJXc-Node-349082"><span class="mjx-mn" id="MJXc-Node-349083"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span><span class="mjx-mo" id="MJXc-Node-349084"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.593em;">)</span></span></span></span></span> is equal to<br></p>
33 If the molality of the aqueous solution is 0.111 then the mole fraction of solute will be
<p><span>Water lost through transpiration is in the form of water vapor. Hence, it is pure water.</span></p> <br>
<p>One end of a steel wire is fixed to the ceiling of a moving elevator. A load of <span class="mjx-chtml" id="MathJax-Element-1-Frame"><span class="mjx-math" id="MJXc-Node-126627"><span class="mjx-mrow" id="MJXc-Node-126628"><span class="mjx-mn" id="MJXc-Node-126629"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">20</span></span><span class="mjx-mtext" id="MJXc-Node-126630"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.291em; padding-bottom: 0.372em;"> </span></span><span class="mjx-mtext" id="MJXc-Node-126631"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.519em;">kg</span></span></span></span></span> hangs from the other end. If the elevator is moving up with an acceleration <span class="mjx-chtml" id="MathJax-Element-2-Frame"><span class="mjx-math" id="MJXc-Node-126632"><span class="mjx-mrow" id="MJXc-Node-126633"><span class="mjx-mn" id="MJXc-Node-126634"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">1</span></span><span class="mjx-mtext" id="MJXc-Node-126635"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.291em; padding-bottom: 0.372em;"> </span></span><span class="mjx-msubsup" id="MJXc-Node-126636"><span class="mjx-base"><span class="mjx-mtext" id="MJXc-Node-126637"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.446em; padding-bottom: 0.593em;">m/s</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.71em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-mn" id="MJXc-Node-126638" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span></span> and Area of cross- section of wire is <span class="mjx-chtml" id="MathJax-Element-3-Frame"><span class="mjx-math" id="MJXc-Node-126639"><span class="mjx-mrow" id="MJXc-Node-126640"><span class="mjx-mn" id="MJXc-Node-126641"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span><span class="mjx-mtext" id="MJXc-Node-126642"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.291em; padding-bottom: 0.372em;"> </span></span><span class="mjx-msubsup" id="MJXc-Node-126643"><span class="mjx-base"><span class="mjx-mtext" id="MJXc-Node-126644"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.151em; padding-bottom: 0.372em;">cm</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.513em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-mn" id="MJXc-Node-126645" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span></span> then find the longitudnal strain in the wire.<br><br>[Take <span class="mjx-chtml" id="MathJax-Element-4-Frame"><span class="mjx-math" id="MJXc-Node-126646"><span class="mjx-mrow" id="MJXc-Node-126647"><span class="mjx-mi" id="MJXc-Node-126648"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.519em; padding-right: 0.003em;">g</span></span><span class="mjx-mo MJXc-space3" id="MJXc-Node-126649"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.077em; padding-bottom: 0.298em;">=</span></span><span class="mjx-mn MJXc-space3" id="MJXc-Node-126650"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">10</span></span><span class="mjx-mtext" id="MJXc-Node-126651"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.291em; padding-bottom: 0.372em;"> </span></span><span class="mjx-msubsup" id="MJXc-Node-126652"><span class="mjx-base"><span class="mjx-mtext" id="MJXc-Node-126653"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.151em; padding-bottom: 0.372em;">ms</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.513em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-126654" style=""><span class="mjx-mrow" id="MJXc-Node-126655"><span class="mjx-mo" id="MJXc-Node-126656"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.446em;">−</span></span><span class="mjx-mn" id="MJXc-Node-126657"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span><span class="mjx-mo" id="MJXc-Node-126658"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.144em; padding-bottom: 0.519em;">,</span></span><span class="mjx-mi MJXc-space1" id="MJXc-Node-126659"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.446em; padding-bottom: 0.298em; padding-right: 0.182em;">Y</span></span><span class="mjx-mo MJXc-space3" id="MJXc-Node-126660"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.077em; padding-bottom: 0.298em;">=</span></span><span class="mjx-mn MJXc-space3" id="MJXc-Node-126661"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span><span class="mjx-mo MJXc-space2" id="MJXc-Node-126662"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.225em; padding-bottom: 0.298em;">×</span></span><span class="mjx-msubsup MJXc-space2" id="MJXc-Node-126663"><span class="mjx-base"><span class="mjx-mn" id="MJXc-Node-126664"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">10</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.591em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-126665" style=""><span class="mjx-mrow" id="MJXc-Node-126666"><span class="mjx-mn" id="MJXc-Node-126667"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">11</span></span></span></span></span></span><span class="mjx-mtext" id="MJXc-Node-126668"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.291em; padding-bottom: 0.372em;"> </span></span><span class="mjx-msubsup" id="MJXc-Node-126669"><span class="mjx-base"><span class="mjx-mtext" id="MJXc-Node-126670"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">Nm</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.615em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-126671" style=""><span class="mjx-mrow" id="MJXc-Node-126672"><span class="mjx-mo" id="MJXc-Node-126673"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.446em;">−</span></span><span class="mjx-mn" id="MJXc-Node-126674"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span></span></span></span> ]<br></p>
<p> </p><br><p><span> The number of three element subsets of {1, 2 ......10} sum of whose elements is even is :</span></p><br><p> </p><br><br>
Current i0 is being carried by an infinite wire passing through origin along the direction i^+ j^ + k^. Find magnetic field due to the wire at point (1m,0,0).
<span><strong>Question 24</strong><br><br>How does the force of attraction between the two bodies depend upon their masses and distance between them? A student thought that two bricks tied together would fall faster than a single one under the action of gravity. Do you agree with his hypothesis or not? Comment.</span><br>
<p>P speaks truth in 75% cases while Q in 90%.in what % r they likely to contradict each other in stating the same fact .? Do u think B is true</p> <p>Do</p>

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