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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your Class 12 knowledge and support exam preparation. Choose a topic below to get started.
| 28201. |
As he reaches the exit of the market, Mario notices five people who are gathered for an eat-as-much-as-you-can competition. There is a clear order in their hunger (i.e. no two people are identically hungry) and the person who was more hungry initially (at the beginning of the competition) wins in a face-off. How many face-offs are required to rank everyone according to their initial hunger? Note : Face-offs should be sufficient to guarentee rank of everyone in any case |
| Answer» <html><body><p></p>Solution :Note : The faceoffs are independent of each other (their hungers will have their initialvalues before each faceoff). <br/>at least 7 matches are needed.<br/> Denote the players by A, B, C, D and E.<br/>1. First, A playsagainst B, while C plays against D. Without loss of generality, suppose Aand C are the winners.<br/> 2. Then, let A play C in the winners’ match. Without loss of generality, suppose A <a href="https://interviewquestions.tuteehub.com/tag/wins-1457622" style="font-weight:bold;" target="_blank" title="Click to know more about WINS">WINS</a>. Upto this point, we have determined that A gt B and A gt C gt D.<br/> 3. Now, we determine the position of E within the A gt C gt D <a href="https://interviewquestions.tuteehub.com/tag/chain-913601" style="font-weight:bold;" target="_blank" title="Click to know more about CHAIN">CHAIN</a>. This can be achieved intwo matches. First let E play against C. If E wins, then let him play against A. Otherwise lethim play against D. After this, we have a complete <a href="https://interviewquestions.tuteehub.com/tag/ordering-1138380" style="font-weight:bold;" target="_blank" title="Click to know more about ORDERING">ORDERING</a> of A, C, D and E.4. Finally we have to find the position of B using only two more matches.So far we only have A gt B. There are two cases. If the previous step <a href="https://interviewquestions.tuteehub.com/tag/produced-592947" style="font-weight:bold;" target="_blank" title="Click to know more about PRODUCED">PRODUCED</a> E gt A gt C gt D.Then we can simply play B against C and D to complete the ordering. If A gt E occurs instead,then we may, without loss of generality, <a href="https://interviewquestions.tuteehub.com/tag/assume-384429" style="font-weight:bold;" target="_blank" title="Click to know more about ASSUME">ASSUME</a> that A gt E gt C gt D since none of E, C or Dhave played against B. Now we can simply repeat the method used in the previous step tofind the position of B amongst E gt C gt D, by first matching B against C, then E or Ddepending on the outcome.<br/>In all cases, we have determined the complete ordering in 7 matches.</body></html> | |
| 28202. |
If perpendicular from the point P(a,b,c) drawn to YZ- and ZX- plane meet tham in the points L and M respectively, then equation of plane OLM is |
| Answer» <html><body><p>ax+by +cz=abc<br/>bcx + <a href="https://interviewquestions.tuteehub.com/tag/cay-406975" style="font-weight:bold;" target="_blank" title="Click to know more about CAY">CAY</a> = abc<br/>bcx + cay= abc<br/>ax+ by + cz=1</p>Answer :<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a></body></html> | |
| 28203. |
Find the angle between two vectorsoversetrarra"and"oversetrarrb with magnitudes sqrt3"and"2 respectively havingoversetrarra.oversetrarrb=sqrt6. |
| Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :`<a href="https://interviewquestions.tuteehub.com/tag/cos-935872" style="font-weight:bold;" target="_blank" title="Click to know more about COS">COS</a> <a href="https://interviewquestions.tuteehub.com/tag/theta-1412757" style="font-weight:bold;" target="_blank" title="Click to know more about THETA">THETA</a> =(veca.vecb)/(|veca|.|vecb|)`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/sqrt6-3056993" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT6">SQRT6</a>/(sqrt3xx2)=sqrt2/2 =1/sqrt2`<br/>` <a href="https://interviewquestions.tuteehub.com/tag/implies-1037962" style="font-weight:bold;" target="_blank" title="Click to know more about IMPLIES">IMPLIES</a> theta=pi/4`</body></html> | |
| 28204. |
A coin is tossed three times. Find the probability of getting at least 2 heads |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :A coin is tossed three <a href="https://interviewquestions.tuteehub.com/tag/times-1420471" style="font-weight:bold;" target="_blank" title="Click to know more about TIMES">TIMES</a>. `S={HHH,HT T, HTH,THH,T TH, THT,HHT,T T T}`<br/> `|S|=8`<br/><a href="https://interviewquestions.tuteehub.com/tag/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a> C be the event of <a href="https://interviewquestions.tuteehub.com/tag/getting-2670847" style="font-weight:bold;" target="_blank" title="Click to know more about GETTING">GETTING</a> at least 2 <a href="https://interviewquestions.tuteehub.com/tag/heads-1016558" style="font-weight:bold;" target="_blank" title="Click to know more about HEADS">HEADS</a><br/>`thereforeC={HTH,THH,HHT,HHH}` <br/> `implies |C|=4`<br/>`therefore P(C)=|C|/|S|=4/8=1/2`</body></html> | |
| 28205. |
A random variable X has the following probability distribution : find the value of k |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :0.15</body></html> | |
| 28206. |
The smallest positive angle which satisfies the equation 2sin^(2)theta+sqrt(3)costheta+1=0, is |
| Answer» <html><body><p>`(5pi)/(<a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a>)`<br/>`(<a href="https://interviewquestions.tuteehub.com/tag/2pi-1838601" style="font-weight:bold;" target="_blank" title="Click to know more about 2PI">2PI</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)`<br/>`(pi)/(3)`<br/>`(pi)/(6)`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :A</body></html> | |
| 28207. |
P(2, -1, 4) and Q (4, 3, 2) are given points. Find the prove which divides the line joining P and Q in the ratio 2 : 3. (i) Internally (ii) Externally (Using vector method). |
| Answer» <html><body><p><br/></p>Answer :(i) `((14)/(5),(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)/(5),(<a href="https://interviewquestions.tuteehub.com/tag/16-276476" style="font-weight:bold;" target="_blank" title="Click to know more about 16">16</a>)/(5))`(<a href="https://interviewquestions.tuteehub.com/tag/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a>) `(-2,-9,8)`</body></html> | |
| 28208. |
A teacher wants to take 20 students to a park. He can take exactly 5 students at a time and will not take the same group more than once. Find the number of times that the teacher can go to the park |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`""^(<a href="https://interviewquestions.tuteehub.com/tag/20-287209" style="font-weight:bold;" target="_blank" title="Click to know more about 20">20</a>)C_5`</body></html> | |
| 28209. |
A teacher wants to take 20 students to a park. He can take exactly 5 students at a time and will not take the same group more than once. Find the number of times each student can go to the park. |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`""^(<a href="https://interviewquestions.tuteehub.com/tag/19-280618" style="font-weight:bold;" target="_blank" title="Click to know more about 19">19</a>)C_4`</body></html> | |
| 28210. |
Refer to Question 8. If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added ? What is the maximum amount of nitrogen added ? |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :The <a href="https://interviewquestions.tuteehub.com/tag/maximum-556915" style="font-weight:bold;" target="_blank" title="Click to know more about MAXIMUM">MAXIMUM</a> <a href="https://interviewquestions.tuteehub.com/tag/amount-374803" style="font-weight:bold;" target="_blank" title="Click to know more about AMOUNT">AMOUNT</a> of <a href="https://interviewquestions.tuteehub.com/tag/nitrogen-1118291" style="font-weight:bold;" target="_blank" title="Click to know more about NITROGEN">NITROGEN</a> is 595 <a href="https://interviewquestions.tuteehub.com/tag/kg-1063886" style="font-weight:bold;" target="_blank" title="Click to know more about KG">KG</a>.</body></html> | |
| 28211. |
If P = (1, 5, 4) and Q = (4, 1, -2) then find the d.r. of PQ. |
| Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/lt3-2804391" style="font-weight:bold;" target="_blank" title="Click to know more about LT3">LT3</a>, <a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>, 6gt`<br/>`lt3, -4, -6gt`<br/>`larr3, -4, -6gt`<br/>`lt3, 4, -6gt`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html> | |
| 28212. |
Evaluate the following integrals int_0^2x^2e^(x^3)dx |
| Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :`int_0^2e^(x^3)x^2dx`<br/> `int_0^8e^6(1/3)dt=1/3(e^8-1)`</body></html> | |
| 28213. |
The maximum value of variance in binomial distribution withparameters n and p is_____. |
| Answer» <html><body><p></p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/variance-1443227" style="font-weight:bold;" target="_blank" title="Click to know more about VARIANCE">VARIANCE</a> =npq where <a href="https://interviewquestions.tuteehub.com/tag/q-609558" style="font-weight:bold;" target="_blank" title="Click to know more about Q">Q</a> = <a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a> -p, and `<a href="https://interviewquestions.tuteehub.com/tag/0ltplt1-1749200" style="font-weight:bold;" target="_blank" title="Click to know more about 0LTPLT1">0LTPLT1</a>` Now variance is maxium when `p=q=1/2` Thus maximum value of variance `=n/4` Let the number of trails =n and P(succes)=P.</body></html> | |
| 28214. |
Solve the following systems of linear inequalities graphically : x gt y , x lt 1, y gt 0. |
| Answer» <html><body><p></p>Solution :<img src="https://doubtnut-static.s.llnwi.net/static/physics_images/MBD_TEP_MAT_XII_P01_C07_E03_006_S01.png" width="80%"/> <br/> Step-2 : Let us consider a point (2,<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>) that does not lie on any of the lines. Putting x = 2, y = 2 In the inequalities we get <by> `<a href="https://interviewquestions.tuteehub.com/tag/rarr-1175461" style="font-weight:bold;" target="_blank" title="Click to know more about RARR">RARR</a>` (2,1) satisfies x `gt` y and y `gt` 0 but does not satisfy x `lt` 1 thus the <a href="https://interviewquestions.tuteehub.com/tag/shaded-1204458" style="font-weight:bold;" target="_blank" title="Click to know more about SHADED">SHADED</a> <a href="https://interviewquestions.tuteehub.com/tag/region-1182095" style="font-weight:bold;" target="_blank" title="Click to know more about REGION">REGION</a> is the solution region.</by></body></html> | |
| 28215. |
Find int(x^(4)dx)/((x-1)(x^(2)+1)) |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`(<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>^(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>))/(2)+x+(1)/(2)log|x-1|-(1)/(4)log (x^(2)+1)-(1)/(2)<a href="https://interviewquestions.tuteehub.com/tag/tan-1238781" style="font-weight:bold;" target="_blank" title="Click to know more about TAN">TAN</a>^(-1)x+c`</body></html> | |
| 28216. |
Find the equation of the circle which cuts the following circles orthogonally. x^(2)+y^(2)+4x-7=0,2x^(2)+2y^(2)+3x+5y-9=0,x^(2)+y^(2)+y=0 |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>^(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)+y^(2)-26/5 x+34/5 y-17/5=0`</body></html> | |
| 28217. |
An aeroplane flying with uniform speed horizontally one kilometer above the ground id observed at an elevation of 60^(@). Aftar 10s if the elevation is observed to be 30^(@), then the speed of the aeroplane (in km/h) is |
| Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/240-295938" style="font-weight:bold;" target="_blank" title="Click to know more about 240">240</a>//<a href="https://interviewquestions.tuteehub.com/tag/sqrt3-3056952" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT3">SQRT3</a>`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/200-288914" style="font-weight:bold;" target="_blank" title="Click to know more about 200">200</a> sqrt3`<br/>`240 sqrt3`<br/>`120//sqrt3`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a></body></html> | |
| 28218. |
If a_0, a_1 , a_2 …..a_n are binomial coefficients then (1 + a_1/a_0)(1 +a_2/a_1) …………….(1 + (a_n)/(a_(n-1)) ) = |
| Answer» <html><body><p>`((<a href="https://interviewquestions.tuteehub.com/tag/n-568463" style="font-weight:bold;" target="_blank" title="Click to know more about N">N</a> -<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)^n)/(n!)` <br/>`((n + 1)^n)/(n!)` <br/>`((n +1)^(<a href="https://interviewquestions.tuteehub.com/tag/2n-300431" style="font-weight:bold;" target="_blank" title="Click to know more about 2N">2N</a>))/(n!)` <br/>`((n - 1)^n)/(2n!)` </p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html> | |
| 28219. |
If p,q are roots of the quadratic equationx^(2)-10rx -11s =0 and r,sare roots of x^(2)-10px -11q=0 then find the value ofp+q +r+s. |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/1210-1782211" style="font-weight:bold;" target="_blank" title="Click to know more about 1210">1210</a></body></html> | |
| 28220. |
Find the equation of a curve passing through the point (0,0) and whose differentialequation is y' = e^(x) sin x. |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`2y - <a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a> = e^(<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>)(sin x - <a href="https://interviewquestions.tuteehub.com/tag/cos-935872" style="font-weight:bold;" target="_blank" title="Click to know more about COS">COS</a> x)`</body></html> | |
| 28221. |
int (secx+ tan x)^(2)dx=... |
| Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>(<a href="https://interviewquestions.tuteehub.com/tag/sec-1197209" style="font-weight:bold;" target="_blank" title="Click to know more about SEC">SEC</a> <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>+tanx)-x+c`<br/>`(1)/(3) (secx+tanx)^(3)+c`<br/>`sec x(secx+tanx)+c`<br/>`2(secx+tanx)+c`</p>Answer :A</body></html> | |
| 28222. |
Let m be the smallest odd positive iteger for which 1 + 2+ …..+ m is a square of an integer and let n be the smallest even positive integer for which 1 + 2+ ……+ n is a square of an integer. What is the value of m + n ? |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/9-340408" style="font-weight:bold;" target="_blank" title="Click to know more about 9">9</a></body></html> | |
| 28223. |
int_(1//e)^(e)|logx|dx= |
| Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a> - 1/e`<br/>`1+ 1/e`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>( 1- 1/e)`<br/>`(1+ 1/e)`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a></body></html> | |
| 28224. |
The probability of getting atleast two heads, when tossing a coin three times is………. |
| Answer» <html><body><p>`(1)/(<a href="https://interviewquestions.tuteehub.com/tag/8-336412" style="font-weight:bold;" target="_blank" title="Click to know more about 8">8</a>)`<br/>`(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)/(8)`<br/>`(1)/(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)`<br/>`(5)/(8)`</p>Answer :<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a></body></html> | |
| 28225. |
If |(a,a^(2),1+a^(3)),(b,b^(2),1+b^(3)),(c,c^(2),1+c^(3))|=0 and vectors (1,a,a^(2)),(1,b,b^(2)) and (1,c,c^(2)) are non coplanar then the product abc= |
| Answer» <html><body><p>only I is true<br/>only <a href="https://interviewquestions.tuteehub.com/tag/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a> is true<br/>both I and II are true<br/>neither I nor II true</p>Answer :<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a></body></html> | |
| 28226. |
Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B (4, 5) and C (6, 3). |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a></body></html> | |
| 28227. |
f: R rarr R, f(x) is a differentiable function such that all its successive derivatives exist. f'(x) can be zero at discrete points only and f(x)f''(x) le 0 AA x in R If alpha and beta are two consecutive roots of f(x) = 0, then |
| Answer» <html><body><p>`f''(<a href="https://interviewquestions.tuteehub.com/tag/gamma-470142" style="font-weight:bold;" target="_blank" title="Click to know more about GAMMA">GAMMA</a>) = <a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a> gamma in(alpha , beta)`<br/>`f'''(gamma) = 0 gamma in(alpha , beta)`<br/>`f''''(gamma) = 0 gamma in(alpha , beta)`<br/>`f'''''(gamma) = 0 gamma in(alpha , beta)`</p>Answer :<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html> | |
| 28228. |
If area of triangle is 35 sq. units with vertices (2,-6), (5,4)and (k,4), then k=…...... |
| Answer» <html><body><p>`-<a href="https://interviewquestions.tuteehub.com/tag/12-269062" style="font-weight:bold;" target="_blank" title="Click to know more about 12">12</a>,-<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>`<br/>`-<a href="https://interviewquestions.tuteehub.com/tag/20-287209" style="font-weight:bold;" target="_blank" title="Click to know more about 20">20</a>`<br/>`1.2`<br/>`12,-2`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :D</body></html> | |
| 28229. |
Integrate the functions cos^(3)xe^(logsinx) |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`-1/4cos^(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>)x+C`</body></html> | |
| 28230. |
Find the number of radians in cos^(-1)(-0.5624) |
| Answer» <html><body><p>`-0.97`<br/>`0.97`<br/>`1.77`<br/>2.17</p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/set-11758" style="font-weight:bold;" target="_blank" title="Click to know more about SET">SET</a> you calculator to <a href="https://interviewquestions.tuteehub.com/tag/radian-1175760" style="font-weight:bold;" target="_blank" title="Click to know more about RADIAN">RADIAN</a> mode, and <a href="https://interviewquestions.tuteehub.com/tag/enter-446119" style="font-weight:bold;" target="_blank" title="Click to know more about ENTER">ENTER</a> <a href="https://interviewquestions.tuteehub.com/tag/2nd-300843" style="font-weight:bold;" target="_blank" title="Click to know more about 2ND">2ND</a> `<a href="https://interviewquestions.tuteehub.com/tag/cos-935872" style="font-weight:bold;" target="_blank" title="Click to know more about COS">COS</a>^(-1)(-0.5624)`.</body></html> | |
| 28231. |
(a + b) xx c + (b + c) xx a + (c + a) xx b = |
| Answer» <html><body><p><a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a><br/>`- [a <a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a> <a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>]`<br/><a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a> [a b c]<br/>[a b c]</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :D</body></html> | |
| 28232. |
If ((1 + i)/(1- i))^(x) = 1 then |
| Answer» <html><body><p>x = <a href="https://interviewquestions.tuteehub.com/tag/4n-319008" style="font-weight:bold;" target="_blank" title="Click to know more about 4N">4N</a> where n is any <a href="https://interviewquestions.tuteehub.com/tag/positive-1159908" style="font-weight:bold;" target="_blank" title="Click to know more about POSITIVE">POSITIVE</a> integer <br/>x = 2n where n is any positive integer <br/>x = 4n + 1 where n is any positive integer <br/>x = 2n + 1 where n is any positive integer </p>Answer :A</body></html> | |
| 28233. |
If anebnecand |{:(a,a^3,a^4-1),(b,b^3,b^4-1),(c,c^3,c^4-1):}|=0 then prove that abc(ab+bc+ca)=a+b+c |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/abc-360912" style="font-weight:bold;" target="_blank" title="Click to know more about ABC">ABC</a>(ab+bc+ca)=a+b+c</body></html> | |
| 28234. |
Find the general solution of e^(x) tan ydx + (1 - e^(x))sec^(2)y dy = 0 |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`<a href="https://interviewquestions.tuteehub.com/tag/tan-1238781" style="font-weight:bold;" target="_blank" title="Click to know more about TAN">TAN</a> y = <a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a> (1 - <a href="https://interviewquestions.tuteehub.com/tag/e-444102" style="font-weight:bold;" target="_blank" title="Click to know more about E">E</a>^(<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>))`</body></html> | |
| 28235. |
A ladder rests against a wall at an angle of 35^(@). Its foot is pulled away through a distance a, so that it slides a distance b down the wall, finally making an angle of 25^(@) with the horizontal, then a/b = |
| Answer» <html><body><p><a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a><br/>`1//<a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>(3)` <br/>`sqrt(3)` <br/>`sqrt(3)//2` </p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html> | |
| 28236. |
If vec(alpha)=(1)/(a)hati+(4)/(b)hatj+b hatk and vec(beta)=b hati+a hatj+(1)/(b)hatk then the maximum value (10)/(5+vec(alpha).vec(beta) is ………… |
| Answer» <html><body><p>1<br/>5<br/>2<br/>3</p>Answer :A</body></html> | |
| 28237. |
If ""^(n)C_(4)=""^(n)C_(6), find n. |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a></body></html> | |
| 28238. |
Find values of x for which |{:(3,x),(x,1):}|=|{:()3,2),(4,1):}| |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`(x=+-2sqrt2)`</body></html> | |
| 28239. |
Let ABCD be a quadrilateral with /_CBD=2/_ADB, /_ABD=2/_CDB, AB=BC, then |
| Answer» <html><body><p>`AD=CD`<br/>`/_ADB=/_CDB`<br/>`/_CBD=/_ABD`<br/>`/_ADC` is`(2pi)/<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>`</p>Solution :`2x=/_CBD` <br/> `2y=/_ABD` <br/> In `/_\CBD` <br/> `(sin(pi-(2y+x)))/(sinx)=(<a href="https://interviewquestions.tuteehub.com/tag/bd-389836" style="font-weight:bold;" target="_blank" title="Click to know more about BD">BD</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/ba-389206" style="font-weight:bold;" target="_blank" title="Click to know more about BA">BA</a>)=(BD)/(BC)=(sin(pi-(2x+y)))/(<a href="https://interviewquestions.tuteehub.com/tag/siny-3034871" style="font-weight:bold;" target="_blank" title="Click to know more about SINY">SINY</a>)` <br/> `impliessin(2+x)siny=sin(2x+y)sinx` <br/> `=1/2[cos(y+x)-cos(3y+x)]=1/2[cos(x+y)-cos(3x+y)]` <br/> `0ltx+y=1/2ABClt(pi)/2` <br/> `<a href="https://interviewquestions.tuteehub.com/tag/0lt-1749185" style="font-weight:bold;" target="_blank" title="Click to know more about 0LT">0LT</a>(3y+x)+(3x+y)lt2pi` <br/> `=:. 3y+x=3x+yimpliesx=y` <br/> `implies/_ABD=/_CBDimpliesAD=CD` <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/FIT_JEE_FT3_P2_E01_366_S01.png" width="80%"/></body></html> | |
| 28240. |
int (x^(5))/(x^(2) + 1)dx = |
| Answer» <html><body><p>`(<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>^(4))/(4)+(x^(2))/(2)+Tan^(-1)x+c`<br/>`(x^(4))/(4)-(x^(2))/(2)+(1)/(2)log(x^(2)+1)+c`<br/>`(x^(4))/(4)+(x^(2))/(2)+Tan^(-1)x+c`<br/>`(x^(4))/(4)-(x^(3))/(3)-Tan^(-1)<a href="https://interviewquestions.tuteehub.com/tag/e-444102" style="font-weight:bold;" target="_blank" title="Click to know more about E">E</a>`</p>Answer :<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html> | |
| 28241. |
For any two statements p and q , the negation of p v ( ~ p ^ q) is |
| Answer» <html><body><p><<a href="https://interviewquestions.tuteehub.com/tag/p-588962" style="font-weight:bold;" target="_blank" title="Click to know more about P">P</a>>p `^^` <a href="https://interviewquestions.tuteehub.com/tag/q-609558" style="font-weight:bold;" target="_blank" title="Click to know more about Q">Q</a> <br/> ~p `^^` ~ q <br/>p `harr` q <br/>~ p `<a href="https://interviewquestions.tuteehub.com/tag/vee-24307" style="font-weight:bold;" target="_blank" title="Click to know more about VEE">VEE</a>`~ q </p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :B</body></html> | |
| 28242. |
If A=[{:(i,0),(0,i):}], n inNthen A^(4n)=...... (where I is imaginary complex number and i^(2)=-1) |
| Answer» <html><body><p>`[{:(i,<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>),(0,i):}]`<br/>`[{:(0,0),(0,0):}]`<br/>`[{:(1,0),(0,1):}]`<br/>`[{:(0,-i),(i,0):}]`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a></body></html> | |
| 28243. |
Express in simplest form: cos^(-1)(3/5cosx+4/5sinx) |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`x-tan^(-<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)""4/3" or "x-cos^(-1)""3/5`</body></html> | |
| 28244. |
Let C be the set of complex numbers . Prove that the mapping f : C rarr Rgiven by f(z) = |z| , AA z in C , is neither one - one nor onto . |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :N/A</body></html> | |
| 28245. |
Let A and B be two events such that P(A)= 0.4, P(A cup B)= 0.7 and P(B)= p. For what choice of p are A and B independent ? |
| Answer» <html><body><p>`(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)`<br/>`(1)/(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)`<br/>`(3)/(4)`<br/>`(<a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a>)/(6)`</p>Answer :A</body></html> | |
| 28246. |
Determine the work which has to be done to bring an electric charge e_(2)=1 from infinity to a unit distance from a charge e_(1). |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`e_(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)`</body></html> | |
| 28247. |
A variable plane is at a constant distance h from the origin and meetsthe coordinateaxes in A,B,C . Locus of centroid of triangle ABC is |
| Answer» <html><body><p>`x^(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)+y^(2)+<a href="https://interviewquestions.tuteehub.com/tag/z-750254" style="font-weight:bold;" target="_blank" title="Click to know more about Z">Z</a>^(2)=<a href="https://interviewquestions.tuteehub.com/tag/h-1014193" style="font-weight:bold;" target="_blank" title="Click to know more about H">H</a>^(-2)`<br/>`x^(2)+y^(2)+z^(2)=4h^(-2)`<br/>`x^(2)+y^(2)+z^(2)=16h^(2)`<br/>`1/(x^(2))+1/(y^(2))+1/(z^(2))=<a href="https://interviewquestions.tuteehub.com/tag/9-340408" style="font-weight:bold;" target="_blank" title="Click to know more about 9">9</a>/(h^(2))`</p>Answer :D</body></html> | |
| 28248. |
Find a value of A when cos 2A = sin 3A |
| Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :`cos <a href="https://interviewquestions.tuteehub.com/tag/2a-300249" style="font-weight:bold;" target="_blank" title="Click to know more about 2A">2A</a> = sin <a href="https://interviewquestions.tuteehub.com/tag/3a-310574" style="font-weight:bold;" target="_blank" title="Click to know more about 3A">3A</a> = cos (90^@-3A)`</body></html> | |
| 28249. |
int (x tan^(-1)x)/(sqrt(1 + x^(2)))d x= |
| Answer» <html><body><p>`sqrt(1 +<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>^(2)) <a href="https://interviewquestions.tuteehub.com/tag/tan-1238781" style="font-weight:bold;" target="_blank" title="Click to know more about TAN">TAN</a>^(-1) " x- <a href="https://interviewquestions.tuteehub.com/tag/log-543719" style="font-weight:bold;" target="_blank" title="Click to know more about LOG">LOG</a> "(x + sqrt(1 + x^(2))) + <a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>`<br/>`sqrt(1 +x^(2)) tan^(-1) " x + log "(x + sqrt(1 + x^(2))) + c`<br/>` (tan^(-1)x)/(sqrt(1 +x^(2))) "+ log "(x + sqrt(1 + x^(2))) + c`<br/>` (tan^(-1)x)/(sqrt(1 +x^(2))) "- log "(x + sqrt(1 + x^(2))) + c`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :A</body></html> | |
| 28250. |
If A= [(ab,b^(2)),(-a^(2),-ab)] then A^(2) is equal |
| Answer» <html><body><p>O<br/>I<br/>`-I`<br/><a href="https://interviewquestions.tuteehub.com/tag/none-580659" style="font-weight:bold;" target="_blank" title="Click to know more about NONE">NONE</a> of these </p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :A</body></html> | |