Explore topic-wise InterviewSolutions in Class 12.

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.

251.

For any integer nge1, the number of positive divisors of n is denoted by dựn). Then for a prime p, d(d(d(p^(7)))) is

Answer» <html><body><p>1<br/>2<br/>3<br/>p</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>
Discussion
252.

Semi transverse axis of hyperbola is 5. Tangent at point P and normal to this tangent meet conjugate axis at A and B, respectively. The circle on AB as diameter passes through tow fixed points, the distance between which is 20. Find the eccentricity of hyperbola.

Answer» <html><body><p></p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/consider-2017521" style="font-weight:bold;" target="_blank" title="Click to know more about CONSIDER">CONSIDER</a> hyperbola `(x^(2))/(a^(2))-(y^(2))/(<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>^(2))=1`. <br/> Tangent to it at any point `P(a sec theta, b tan theta)` is <br/> `(x)/(a) sec theta-(y)/(b) tan theta=1` <br/> It <a href="https://interviewquestions.tuteehub.com/tag/meets-1092960" style="font-weight:bold;" target="_blank" title="Click to know more about MEETS">MEETS</a> y-axis at `A(0,-b cot theta)`. <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/CEN_CG_C07_S01_057_S01.png" width="80%"/> <br/> <a href="https://interviewquestions.tuteehub.com/tag/normal-1123860" style="font-weight:bold;" target="_blank" title="Click to know more about NORMAL">NORMAL</a> at point P is <br/> `ax cos theta+by cot theta=a^(2)e^(2)` <br/> It meets y-axis at `B(0,(a^(2)e^(2))/(b) tan theta)` <br/> Now, circle with diameter as AB is <br/> `x^(2)+(y+b cot theta)(y-(a^(2)e^(2))/(b)tantheta)=0` <br/> `rArr""x^(2)+y^(2)-(a^(2)e^(2))+(b cot theta-(a^(2)e^(2))/(b)tantheta)y=0` <br/> This circle passes through fixed point `(pm ae,0)`, <a href="https://interviewquestions.tuteehub.com/tag/distnace-2587924" style="font-weight:bold;" target="_blank" title="Click to know more about DISTNACE">DISTNACE</a> between which is 2ae. <br/> `2ae=20"(given)"` <br/> `therefore""e=2`</body></html>
Discussion
253.

Fork gt 0ifk sqrt(-1)is arootof theequationx^4+ 6x^3 - 16x^2 + 24x- 80 =0thenk^2 =

Answer» <html><body><p>2<br/>3<br/>4<br/>6</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>
Discussion
254.

A factory owner purchases two types of machines, A and B, for his factory. The requirements and limitations for the machines are as follows: He has an area of 7600 sq. m available and 72 skilled men who can operate the machines. To find how many machines of each type should he buy to maximize the daily output, formulate this as a L.P.P.

Answer» <html><body><p><br/></p>Answer :`Z_(max) ` = 50 x +<a href="https://interviewquestions.tuteehub.com/tag/40-314386" style="font-weight:bold;" target="_blank" title="Click to know more about 40">40</a> y ` <br/> <a href="https://interviewquestions.tuteehub.com/tag/subject-1231009" style="font-weight:bold;" target="_blank" title="Click to know more about SUBJECT">SUBJECT</a> to the constraints :` 5x + 6y ge 38 ;3x+ 2y <a href="https://interviewquestions.tuteehub.com/tag/le-540308" style="font-weight:bold;" target="_blank" title="Click to know more about LE">LE</a> <a href="https://interviewquestions.tuteehub.com/tag/18-278913" style="font-weight:bold;" target="_blank" title="Click to know more about 18">18</a> and x ge 0, y ge 0 `</body></html>
Discussion
255.

Findthe principal value of cos^(-1)(-1/2)

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/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>)`</body></html>
Discussion
256.

If xgt0, the least value of n in N such that ((1+i)/(1-i))^(n)=(2)/(pi)sin^(-1)((1+x^(2))/(2x)) is :

Answer» <html><body><p>2<br/><a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a><br/>8<br/>32</p>Solution :`(1+x^(2))/(2) <a href="https://interviewquestions.tuteehub.com/tag/ge-1003146" style="font-weight:bold;" target="_blank" title="Click to know more about GE">GE</a> x""(because A.M ge G.M.)`<br/> `<a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a>((<a href="https://interviewquestions.tuteehub.com/tag/e-444102" style="font-weight:bold;" target="_blank" title="Click to know more about E">E</a>^(i(pi)/(4)))/e^(-i(pi)/(4)))^(<a href="https://interviewquestions.tuteehub.com/tag/n-568463" style="font-weight:bold;" target="_blank" title="Click to know more about N">N</a>)=(2)/(pi).sin^(-1)(1)`</body></html>
Discussion
257.

The perimeter of a asector is a constant. If its area is to be maximum, the sectorial angle is

Answer» <html><body><p>`pi^c/6` <br/>`pi^c/4` <br/>`4^c` <br/>`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> :D</body></html>
Discussion
258.

Let the curve C : y = x^(6) + 8x^(5) + bx^(4) + cx^(3) + dx^(2) + ex + f touches the line : y = mx + n at x = 1,2,3. find the area bounded by the these graphs?

Answer» <html><body><p>`(3)/(<a href="https://interviewquestions.tuteehub.com/tag/34-308171" style="font-weight:bold;" target="_blank" title="Click to know more about 34">34</a>)`<br/>`(16)/(105)`<br/>`(5)/(34)`<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>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>
Discussion
259.

Prove that the relation R in the set of integers z defined by R = { ( x , y) : x-y is an integer } is an equivalence relation.

Answer» <html><body><p><br/></p>Answer :`<a href="https://interviewquestions.tuteehub.com/tag/rarr-1175461" style="font-weight:bold;" target="_blank" title="Click to know more about RARR">RARR</a> ( x, z) in <a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a> <a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a>` R is a transitive relation</body></html>
Discussion
260.

Let f(n)=sum_(k=-n)^(n)(cot^(-1)((1)/(k))-tan^(-1)(k)) such that sum_(n=2)^(10)(f(n)+f(n-1))=a pi then find the value of (a+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/100-263808" style="font-weight:bold;" target="_blank" title="Click to know more about 100">100</a></body></html>
Discussion
261.

Match the following

Answer» <html><body><p>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>,c,d<br/>c,d,b,a<br/>c,b,d,a<br/>b,a,d,c</p>Answer :C</body></html>
Discussion
262.

int (1)/((x^(2)- 25)^(3//2))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>)/(25).(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>(x^(2)-25)) +C`<br/>`-(1)/(25).(x)/(sqrt(x^(2)-25)) + C `<br/>`(1)/(25).(1)/(sqrt(x^(2)-25)) +C `<br/>`-(1)/(25).(1)/(sqrt(x^(2)-25)) +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 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>
Discussion
263.

Assertion (A) : The Remainder obtained when the polynomial x^(64)+x^(27)+1 is divided by x+1 is 1 Reason (R) : If f(x) is divided by x-a then the remainder is f(a)

Answer» <html><body><p>Both A &amp; R are <a href="https://interviewquestions.tuteehub.com/tag/true-713260" style="font-weight:bold;" target="_blank" title="Click to know more about TRUE">TRUE</a> and R is correct <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a> of A<br/>Both A &amp; R are true and R is not correct explanation of A<br/>A is true but R is false<br/>A is false but R is true</p>Answer :A</body></html>
Discussion
264.

Match the following

Answer» <html><body><p>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/>c,a,b<br/>b,c,a<br/>a,c,b</p>Answer :B</body></html>
Discussion
265.

If hati,hatj,hatk are unit vectors along the positive direction of A,Y, and Z- axes, then a FALSE statement in the following is

Answer» <html><body><p>`Sigmahat(i)xx(hatjxxhatk)=vec(<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/>`Sigmahatiuxx(hat(<a href="https://interviewquestions.tuteehub.com/tag/j-520843" style="font-weight:bold;" target="_blank" title="Click to know more about J">J</a>)+hat(<a href="https://interviewquestions.tuteehub.com/tag/k-527196" style="font-weight:bold;" target="_blank" title="Click to know more about K">K</a>))=vec(0)`<br/>`Sigmahat(i)*(hat(j)+hat(k))=vec(0)`<br/>`Sigmahati*(hatjxxhat(k))=vec(0)`</p>Answer :D</body></html>
Discussion
266.

Find the value of (Sigma_(r=1)^(n) 1/r)/(Sigma_(r=1)^(n) k/((2n-2k+1)(2n-k+1))).

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/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a> <br/> `A=sum_(<a href="https://interviewquestions.tuteehub.com/tag/k-527196" style="font-weight:bold;" target="_blank" title="Click to know more about K">K</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)k/((2n-2k+1)(2n-k+1))` <br/> `=sum_(k=1)^(n)((2n-k+1)-(2n-2k+1))/((2n-2k+1)(2n-k+1))` <br/> `sum_(k=1)^(n)1/(2n-2k+1)-sum_(k=1)^(n)1/(2n-k+1)` <br/> `=(1/1+1/3+1/5+..+1/(2n-1))-(1/(n+1)+1/(n+2)+..+1/(2n))` <br/> and `B=sum_(r=1)^(n)1/r=1/1+1/2+1/3+...+1/n+1/(n+1)+1/(n+2)+..+1/(2n))-(1/1+1/3+1/5+..+1/(2n-1))` <br/> `=1/2+1/4+1/6+...1/(2n)` <br/> `=1/2(1/1+1/2+1/3+..+1/n)` <br/> `=B/2` <br/> So, `B-A=1/2B` <br/> `rArrB/2=A` <br/> `rArrB/A=2`</body></html>
Discussion
267.

If the integral int(cos8x+1)/(cot2x-tan2x)dx=Acos8x+k, where k is an arbitrary constant, then A is equal to

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/16-276476" style="font-weight:bold;" target="_blank" title="Click to know more about 16">16</a>)` <br/>`(1)/(16)` <br/>`(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/>`-(1)/(8)` </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</body></html>
Discussion
268.

Statement I : In triangleABC, b cos^2(C )/(2)+c cos^2 (B)/(2)=5, Statement II : In triangleABC, cot (A)/(2)=(b+c)/(2) implies /_90^(@) which of the following is correct?

Answer» <html><body><p>Both I and <a href="https://interviewquestions.tuteehub.com/tag/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a> are <a href="https://interviewquestions.tuteehub.com/tag/true-713260" style="font-weight:bold;" target="_blank" title="Click to know more about TRUE">TRUE</a><br/>I is true, II is <a href="https://interviewquestions.tuteehub.com/tag/false-459184" style="font-weight:bold;" target="_blank" title="Click to know more about FALSE">FALSE</a><br/>I is false, II is true<br/>Both I and II are false</p>Answer :B</body></html>
Discussion
269.

Differentiate w.r.t.x, the following functions : e^(sec^(2)x)+3 cos^(-1)x.

Answer» <html><body><p><br/></p>Answer :`= 2sec^(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>) x <a href="https://interviewquestions.tuteehub.com/tag/tan-1238781" style="font-weight:bold;" target="_blank" title="Click to know more about TAN">TAN</a> <a href="https://interviewquestions.tuteehub.com/tag/xe-747964" style="font-weight:bold;" target="_blank" title="Click to know more about XE">XE</a>^(sec^(2)x)+<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>((1)/(sqrt(1-x^(2))))`.</body></html>
Discussion
270.

What is the sum of all three digit numbers formed by using the digits 1,2,3,?

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> :The <a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a> digit numbers that can be formed by using the digits 1,2,3 are :123,132,213,231,312,321.<br/>`:.` Their <a href="https://interviewquestions.tuteehub.com/tag/sum-1234400" style="font-weight:bold;" target="_blank" title="Click to know more about SUM">SUM</a>= 1332.</body></html>
Discussion
271.

Match column-I and column-II :- {:(,"Duct",,"Organ/Gland"),((A),"Cystic duct",(1),"Pancreas"),((B),"Duct of wirsung",(2),"Liver"),((C),"Hepatic duct",(3),"Gall bladder"),((D),"Stenson's duct",(4),"Salivary gland"):}

Answer» <html><body><p>A (<a href="https://interviewquestions.tuteehub.com/tag/iii-497983" style="font-weight:bold;" target="_blank" title="Click to know more about III">III</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/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a>), C(iv), D(i)<br/>A (iii), B(i), C(ii), D(iv)<br/>A (ii), B(iii), C(i), D(iv)<br/>A (i), B(ii), C(iii), D(iv)</p>Answer :A</body></html>
Discussion
272.

If 1/2x + 1/5y=x+2, what is the value of 2y-5x ?

Answer» <html><body><p>`-10`<br/>`-20`<br/>`-<a href="https://interviewquestions.tuteehub.com/tag/15-274069" style="font-weight:bold;" target="_blank" title="Click to know more about 15">15</a>`<br/>`-<a href="https://interviewquestions.tuteehub.com/tag/25-296426" style="font-weight:bold;" target="_blank" title="Click to know more about 25">25</a>`</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>
Discussion
273.

If x and y are digits such that (x^(2)+ax+b)(x^(2)+cx+d)=0thenx + y equals -

Answer» <html><body><p>15<br/>6<br/>12<br/>13</p>Answer :A</body></html>
Discussion
274.

A ray of light moving parallel to x-axis gets reflected from a parabolic mirror (y-2)^(2)=4(x+1). After reflection the ray must pass through

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>,<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/>(0,-2)<br/>(2,0)<br/>(1,2)</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</body></html>
Discussion
275.

Solve log_(x)3log_(x)/(81)3=log_(x)/(729)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/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html>
Discussion
276.

Evaluate the following integrals. int(2x+1)/(x^(2)+x+1)dx

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/log-543719" style="font-weight:bold;" target="_blank" title="Click to know more about LOG">LOG</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>)+x+1)+<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>
Discussion
277.

A hunter’s chance of shooting an animal at a distance r is (a^(2))/(r^(2)) (r gt a) . He fires when r =2aif he misses, he reloads and fires again where r = 3a. Further if he misses at r = 3a thenhe tries again at r = 4a. This process continuous till r= na. If he misses at a distance na,the animal escape. Find odd against the event that animal is shot.

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> : <a href="https://interviewquestions.tuteehub.com/tag/2n-300431" style="font-weight:bold;" target="_blank" title="Click to know more about 2N">2N</a> `<br/>`n + 1 : n -1 `<br/>`n - 1 : 2n `<br/>`n - 1 : n + 1`</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>
Discussion
278.

E_1 , a+b+c=0 if 1isa root ofax ^2 +bx+c=0 . E_2 :b ^2-a^2=2acif sin thetacos thetaare theofax ^2+ bx+c=0 whichof thefollowingis true?

Answer» <html><body><p>`E_1` <a href="https://interviewquestions.tuteehub.com/tag/istrue-2750595" style="font-weight:bold;" target="_blank" title="Click to know more about ISTRUE">ISTRUE</a>`E_2` is <a href="https://interviewquestions.tuteehub.com/tag/true-713260" style="font-weight:bold;" target="_blank" title="Click to know more about TRUE">TRUE</a> <br/>`E_1`istrue`E_2 ` is <a href="https://interviewquestions.tuteehub.com/tag/false-459184" style="font-weight:bold;" target="_blank" title="Click to know more about FALSE">FALSE</a> <br/>`E_1` is false,` E_2` is <a href="https://interviewquestions.tuteehub.com/tag/ture-1429019" style="font-weight:bold;" target="_blank" title="Click to know more about TURE">TURE</a><br/>`E_1 ` is false`E_2`is false </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>
Discussion
279.

Match the following

Answer» <html><body><p>a,b,c,d<br/>c,d,b,a<br/>c,b,d,a<br/>b,a,d,c</p>Answer :A</body></html>
Discussion
280.

Match the following

Answer» <html><body><p><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>,a,e<br/>b,c,d,e<br/>b,a,c,d<br/>d,c,a,e</p>Answer :A</body></html>
Discussion
281.

Match the following

Answer» <html><body><p>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>,d<br/>b,a,d,c<br/>a,b,c,d<br/>b,a,c,<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><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>
Discussion
282.

If a,b,c are nonzero vectors, then (a xx b) xx c = a (b xx c) iff (a xx c) xx b =

Answer» <html><body><p>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><br/>0<br/>a<br/>b</p>Answer :B</body></html>
Discussion
283.

IfA+B+C=270^(@) then cos 2A + cos 2B+ cos 2C is equal to

Answer» <html><body><p>`4sin A sin <a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a> sin <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/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</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 cos B cos C`<br/>`1-4 sin A sin B sin C`<br/>` 1- 5 cos A cos B cos 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> :C</body></html>
Discussion
284.

The probability of an event that person hits the target is (1)/(4). He hits target at least n times. The probability that to hit target n times is more than (2)/(3) thenminimum value of n is ........

Answer» <html><body><p>2<br/>4<br/>6<br/>8</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>
Discussion
285.

Which of the following is not a statement ?

Answer» <html><body><p>Every <a href="https://interviewquestions.tuteehub.com/tag/set-11758" style="font-weight:bold;" target="_blank" title="Click to know more about SET">SET</a> is a finite set <br/><a href="https://interviewquestions.tuteehub.com/tag/18-278913" style="font-weight:bold;" target="_blank" title="Click to know more about 18">18</a> is <a href="https://interviewquestions.tuteehub.com/tag/multiple-1105557" style="font-weight:bold;" target="_blank" title="Click to know more about MULTIPLE">MULTIPLE</a> of 6<br/>Prime numbers are <a href="https://interviewquestions.tuteehub.com/tag/irrational-1051616" style="font-weight:bold;" target="_blank" title="Click to know more about IRRATIONAL">IRRATIONAL</a> numbers<br/>None of these</p>Answer :D</body></html>
Discussion
286.

If the direction cosinesof two lines are givenbyl+m+n=0and l^(2)-5m^(2)=0, then the angle between them is

Answer» <html><body><p>`pi/2`<br/>`pi/6`<br/>`pi/4`<br/>`pi/3`</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>
Discussion
287.

p(x)=a_(0)+a_(1)x^(2)+a_(2)x^(4)+…………+a_(n)x^(2n) is a polynomial with real variable x. If 0 lt a_(0)lt a_(1)lt a_(2)lt ……….lt a_(n) then p(x) has …………

Answer» <html><body><p><a href="https://interviewquestions.tuteehub.com/tag/neither-1113494" style="font-weight:bold;" target="_blank" title="Click to know more about NEITHER">NEITHER</a> <a href="https://interviewquestions.tuteehub.com/tag/maximum-556915" style="font-weight:bold;" target="_blank" title="Click to know more about MAXIMUM">MAXIMUM</a> nor minimum <br/>Only <a href="https://interviewquestions.tuteehub.com/tag/one-585732" style="font-weight:bold;" target="_blank" title="Click to know more about ONE">ONE</a> minimum <br/>Only one minimum <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> :C</body></html>
Discussion
288.

Draw the graph of f(x)=[tan^(-1)x]," where "[*]" represents the greatest integer function".

Answer» <html><body><p></p>Solution :We have `<a href="https://interviewquestions.tuteehub.com/tag/f-455800" style="font-weight:bold;" target="_blank" title="Click to know more about F">F</a>(x) =[<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]` <br/> `Now -x//2le tan^(-1) x le pi//<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>" for x "in R` <br/> `therefore""[tan^(-1)x]=-2,-1,0,1` <br/> `[tan^(-1)x]=-2` <br/> `therefore""-pi//2letn^(-1)xle-1` <br/> `therefore""-oolt-tan1` <br/> `[tan^(-1)x]=-1` <br/> `therefore""-tanletan^(-1)xlt0` <br/> `-tan^(-1)1lexlt0` <br/> `therefore""0letan^(-1)xlt1` <br/> `therefore""0lexlttan1` <br/> `[tan^(-1)x]=1` <br/> `therefore""1letan^(-1)xltpi//2` <br/> `therefore""tan1lexltoo` <br/> So the <a href="https://interviewquestions.tuteehub.com/tag/graph-17327" style="font-weight:bold;" target="_blank" title="Click to know more about GRAPH">GRAPH</a> of `f(x) =[tan^(-1)x]` can be drawn as shwon in the <a href="https://interviewquestions.tuteehub.com/tag/following-463335" style="font-weight:bold;" target="_blank" title="Click to know more about FOLLOWING">FOLLOWING</a> figure.<br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/CEN_GRA_C04_S01_010_S01.png" width="80%"/></body></html>
Discussion
289.

Construct the switching circuit for each of the following statements : (1) (p^^q)vv(~p)vv(p^^~q) (2) (p^^q^^r)vv[~pvv(^^~r)] (3) [pvv(~p^^q)]vv[(~q^^r)vv~p]

Answer» <html><body><p>&lt;<a href="https://interviewquestions.tuteehub.com/tag/p-588962" style="font-weight:bold;" target="_blank" title="Click to know more about P">P</a>&gt;</p>Solution :Let p : the switch `S_(1)` is closed <br/> q : the switch `S_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)` is closed <br/> r : the switch `S_(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)` is closed <br/> `~p` : the switch `S_(1)` is closed or the switch `S_(1)` is open <br/> `~q` : the switch `S_(2)'` is closed or the switch `S_(2)` is open <br/> `~r` : the switch `S_(3)'` is closed or the switch `S_(3)` is open. <br/> Then the switching <a href="https://interviewquestions.tuteehub.com/tag/circuits-916689" style="font-weight:bold;" target="_blank" title="Click to know more about CIRCUITS">CIRCUITS</a> for the given statements are : <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/NVT_21_MAT_XII_C01_SLV_016_S01.png" width="80%"/><br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/NVT_21_MAT_XII_C01_SLV_016_S02.png" width="80%"/></body></html>
Discussion
290.

The simplified form of(p^^q)vv(p^^r)=

Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/pvv-2963532" style="font-weight:bold;" target="_blank" title="Click to know more about PVV">PVV</a>(q^^r)` <br/>`p^^(qvvr)` <br/>`(pvvq)^^r` <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>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>
Discussion
291.

Write the value of x for which 2tan^(-1)x = cos^(-1)[(1-x^(2))/(1+x^(2))] holds:

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/ge-1003146" style="font-weight:bold;" target="_blank" title="Click to know more about GE">GE</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>`</body></html>
Discussion
292.

Maximum value of (2 cos ^2 18^@ -sin 18^@) (cos theta +3 sqrt2 cos (theta +pi/4)+3) is

Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a> <a href="https://interviewquestions.tuteehub.com/tag/sqrt2-3056932" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT2">SQRT2</a>`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a> <a href="https://interviewquestions.tuteehub.com/tag/sqrt5-3056988" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT5">SQRT5</a>`<br/>3<br/>8</p>Answer :D</body></html>
Discussion
293.

Write the order and degree of the differential equations given by : {y+(dy/dx)^3}^(1//2)=1+x

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/order-1138220" style="font-weight:bold;" target="_blank" title="Click to know more about ORDER">ORDER</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>, <a href="https://interviewquestions.tuteehub.com/tag/degree-47" style="font-weight:bold;" target="_blank" title="Click to know more about DEGREE">DEGREE</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></body></html>
Discussion
294.

underset(n to porp) (lim )(1^(2) +2^(2) ………. +n^(2) (n)^(1//n))/( (n+1) (n+10)(n+10))=

Answer» <html><body><p>`<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/>`(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)/(3)`<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>)/(3)`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/oo-583684" style="font-weight:bold;" target="_blank" title="Click to know more about OO">OO</a>`</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>
Discussion
295.

Statement -1 : The minimum value of (x_2-x_1)^2+(sqrt(1+x_1^2)-sqrt(4-x_2^2))^2 =1.because Statement -2 : The expression attains the minimum value if one of the perfect squares vanishes.

Answer» <html><body><p><a href="https://interviewquestions.tuteehub.com/tag/statement-16478" style="font-weight:bold;" target="_blank" title="Click to know more about STATEMENT">STATEMENT</a> - 1 is True , Statement -2 is ture , Statement -2 is a correct <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a> for Statement -1 <br/>Statement -1 is True , Statement -2 is True , Statement -2 is NOT a correct explanation for statement -1<br/>Statement -1 is True, Statement -2 is False<br/>Statement -1 is False , Statement -2 is True </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> :C</body></html>
Discussion
296.

Thevalueof kso thatx^4-3x^3 +5x^2 -33 x +kisdivisiblebyx^2 -5x+6is

Answer» <html><body><p>45<br/>48<br/>51<br/>54</p>Answer :D</body></html>
Discussion
297.

For …………… value of a, function f(x)=sin x-cos x - ax+b AA x in R is a decreasing function.

Answer» <html><body><p>`a <a href="https://interviewquestions.tuteehub.com/tag/ge-1003146" style="font-weight:bold;" target="_blank" title="Click to know more about GE">GE</a> - <a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</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 <a href="https://interviewquestions.tuteehub.com/tag/le-540308" style="font-weight:bold;" target="_blank" title="Click to know more about LE">LE</a> - sqrt(2)` <br/>`a le sqrt(2)` <br/>`a ge sqrt(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>
Discussion
298.

The range of values of x which satisfy 2x^(2) + 9x + 4 lt 0 and x^(2) - 5x + 6 lt 0 is

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/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)<br/>`((1)/(2), <a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>)`<br/>(2, 3)<br/>`phi`</p>Answer :D</body></html>
Discussion
299.

Find distance of (-2, 3, 4) from x-axis is

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>`<br/>5<br/>2<br/>3</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>
Discussion
300.

If A^(3)=I" and "|A|ne0," then "A^(-1)=

Answer» <html><body><p>`-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/>`A^(3)`<br/>`-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^(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>
Discussion