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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.
| 28101. |
There are n black balls and 2 red balls in a bag. One by one balls are drawn from the bag X wins as soon as 2 black balls are drawn and Y wins as soon as 2 red balls are drawn. The game continuous until one of 2 wins. Let X(n) and Y(n) denotes the probability that X and Y wins respectively. The value of lim_(n to prop) (Y(1)+Y(2)+Y(3)+......+(n)) is |
| Answer» <html><body><p>`1//3`<br/>`1//2`<br/>2<br/>3</p>Answer :D</body></html> | |
| 28102. |
Solve the equation z^3=i |
| Answer» <html><body><p></p>Solution :`<a href="https://interviewquestions.tuteehub.com/tag/z-750254" style="font-weight:bold;" target="_blank" title="Click to know more about Z">Z</a>^3=i=<a href="https://interviewquestions.tuteehub.com/tag/cos-935872" style="font-weight:bold;" target="_blank" title="Click to know more about COS">COS</a>((3pi)/2)+<a href="https://interviewquestions.tuteehub.com/tag/isin-1052260" style="font-weight:bold;" target="_blank" title="Click to know more about ISIN">ISIN</a>((3pi)/2)`<br/>`=cos(2kpi+<a href="https://interviewquestions.tuteehub.com/tag/pi-600185" style="font-weight:bold;" target="_blank" title="Click to know more about PI">PI</a>/2)+isin (2kpi+pi/2)`<br/>`=cos(pi(4k+1))/2 +sin(pi(4k+1))/2`<br/>`:.z=[cos((4k+1))/2+isin((4k+1)pi)/2]^(1/3)<br/>`=cos((4k+1)pi)/<a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a>+isin((4k+1)pi)/6`<br/>`"where" k=0,1,2.`</body></html> | |
| 28103. |
There are n black balls and 2 red balls in a bag. One by one balls are drawn from the bag X wins as soon as 2 black balls are drawn and Y wins as soon as 2 red balls are drawn. The game continuous until one of 2 wins. Let X(n) and Y(n) denotes the probability that X and Y wins respectively. Then the value of Y(n) is ' |
| 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/n-568463" style="font-weight:bold;" target="_blank" title="Click to know more about N">N</a>+1)(n+2))` <br/>`(<a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a>)/((n+1)(n+2))`<br/>`(6)/(n(n+1(n+2))` <br/>`(1)/(n(n+1)(n+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> | |
| 28104. |
The volume of solid generated by revolving about the y-axisthe figure bounded by the parabola y=x^(2)andx=y^(2) is |
| Answer» <html><body><p>`(21)/(5)pi`<br/>`(24)/(5)pi`<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>)/(15)pi`<br/>`(5)/(24)pi`</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> :`V= int _(<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>)^(1) pi <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)dy` <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_EGN_SP_08_E03_035_S01.png" width="80%"/> <br/> `=|pi int _(0)^(1) (y^(4)-y)dy|` <br/>`=| pi [(y^(5))/(5)-(y^(2))/(2)]_(0)^(1)|` <br/>`=| pi [(1)/(5)-(1)/(3)]|` <br/> `=|(-2pi)/(15)|=(2pi)/(15)`</body></html> | |
| 28105. |
The statement ~prarr(qrarrp) is equivalent to |
| Answer» <html><body><p>`prarr(<a href="https://interviewquestions.tuteehub.com/tag/prarrq-2946991" style="font-weight:bold;" target="_blank" title="Click to know more about PRARRQ">PRARRQ</a>)`<br/>`prarr(p vv <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/>`q rarrp`<br/>`q <a href="https://interviewquestions.tuteehub.com/tag/rarr-1175461" style="font-weight:bold;" target="_blank" title="Click to know more about RARR">RARR</a> (prarrq)`</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> | |
| 28106. |
int (dx)/(cos (x -a) cos (x-b) )= (1)/(p) log q, then (p, q)= |
| Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/sin-1208945" style="font-weight:bold;" target="_blank" title="Click to know more about SIN">SIN</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) (sec (<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) )/(sec (x-b))`<br/>`sin (a-b) (cos (x-a) )/(cos (x-b))`<br/>`sin (b+a) (sec (x-a))/(sec (x -b))`<br/>`sin (a-b) (sec (x-a))/(sec (x-b))`</p>Answer :A</body></html> | |
| 28107. |
If the equations of the perpendicular bisectors of the sides AB and AC of a Delta ABC are x - y + 5 = 0 and x + 2y =0 respectively and if A is (1,-2), then the equation of the perpendicular bisector of the side BC is |
| Answer» <html><body><p> <a href="https://interviewquestions.tuteehub.com/tag/3x-310805" style="font-weight:bold;" target="_blank" title="Click to know more about 3X">3X</a> + <a href="https://interviewquestions.tuteehub.com/tag/3y-311505" style="font-weight:bold;" target="_blank" title="Click to know more about 3Y">3Y</a> + 5 = 0 <br/> 9x - 23y + <a href="https://interviewquestions.tuteehub.com/tag/40-314386" style="font-weight:bold;" target="_blank" title="Click to know more about 40">40</a> =0<br/>6x + 15y = 5<br/>23x - 14y + <a href="https://interviewquestions.tuteehub.com/tag/100-263808" style="font-weight:bold;" target="_blank" title="Click to know more about 100">100</a> = 0</p>Answer :D</body></html> | |
| 28108. |
A bag contains 2 white and 2 black balls. A ball is drawn at random. If it is white, it is not replaced in to the bag otherwise it is replaced along with another ball of the same colour. The process is repeated. Find the probability that the third ball drawn is black. |
| 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/23-294845" style="font-weight:bold;" target="_blank" title="Click to know more about 23">23</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/30-304807" style="font-weight:bold;" target="_blank" title="Click to know more about 30">30</a>)`</body></html> | |
| 28109. |
If M_(1),M_(2),M_(3) "and" M_(4), are respectively the magnitudes of the vectors a_(1)=2hati-hatj+hatk, a_(2)=-3hati-4hatj-4hatk, a_(3)=-hati+hatj-hatk, a_(4)=-hati+3hatj+hatk, then the correct order of M_(1),M_(2),M_(3) "and" M_(4)is |
| Answer» <html><body><p>`M_(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)ltM_(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)ltM_(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>)ltM_(<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/>`M_(3)ltM_(1)ltM_(2)ltM_(4)`<br/>`M_(3)ltM_(4)ltM_(1)ltM_(2)`<br/>`M_(3)ltM_(4)ltM_(2)ltM_(1)`</p>Answer :A</body></html> | |
| 28110. |
Find the value of(1 + (1)/( 3 ^(2)) + (1)/( 5 ^(2)) + ...+ (1)/( 997 ^(2)) + (1)/(1002 ^(2)) - (1)/( 1004^(2)) -(1)/( 1006 ^(2)) -...- (1)/( 2000 ^(2)))/(1 + (1)/(2 ^(2)) + (1)/( 3 ^(2)) + (1)/( 4^(2)) + .....+ (1)/(999 ^(2)) + (1)/(1000 ^(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> :`3/4`</body></html> | |
| 28111. |
AB is a diameter of a circle and C is any point on the circle. Show that the area of Delta ABC is maximum, when it is isosceles. |
| 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=y=sqrt(<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/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a>`</body></html> | |
| 28112. |
If OB is the semi-minor axis of an ellipse , F_1 and F_2 are its foci and the angle between F_1B and F_2Bis a right angle , then the square of the eccentricity of the ellipse is |
| Answer» <html><body><p>`(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/>` ( 1)/(<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/>`( 1)/(2sqrt2) ` <br/>`( 1)/(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</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</body></html> | |
| 28113. |
Evaluate the following integrals int(dx)/(x^2-5) |
| 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(<a href="https://interviewquestions.tuteehub.com/tag/dx-960990" style="font-weight:bold;" target="_blank" title="Click to know more about DX">DX</a>)/(x^2-5)=int(dx)/((x-sqrt5)(x-sqrt5))` <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>/(2sqrt5))int{(1/(x-sqrt5)-(1/(x+sqrt5)}`<br/> `(1/(2sqrt5))Inabs((x-sqrt5)/(x+sqrt5))+<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> | |
| 28114. |
In triangleABC, (tan((B)/(2))-tan((C)/(2)))/ (tan((B)/(2))+tan((C)/(2)))= |
| Answer» <html><body><p>`(b-<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 href="https://interviewquestions.tuteehub.com/tag/2a-300249" style="font-weight:bold;" target="_blank" title="Click to know more about 2A">2A</a>)`<br/>`(c-d)/(2a)`<br/>`(b-c)/(a)`<br/>`(c-b)/(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> :C</body></html> | |
| 28115. |
Find the values of k so that the function f is continuous at the indicated point. f(x)={{:(kx+1," if "x le pi),(cos x," if "x gt pi):}" at "x= pi. |
| 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/k-527196" style="font-weight:bold;" target="_blank" title="Click to know more about K">K</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>)/(<a href="https://interviewquestions.tuteehub.com/tag/pi-600185" style="font-weight:bold;" target="_blank" title="Click to know more about PI">PI</a>)`.</body></html> | |
| 28116. |
Find the values of k so that the function f is continuous at the indicated point. f(x)={{:(kx^(2)," if "x le2),(3," if "x gt 2):}" at "x= 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/k-527196" style="font-weight:bold;" target="_blank" title="Click to know more about K">K</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>)/(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>)`</body></html> | |
| 28117. |
Find the values of k so that the function f is continuous at the indicated point. f(x)={{:((k cos x)/(pi -2x)," if "x ne (pi)/(2)),(3," if "x= (pi)/(2)):}" at "x=(pi)/(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> :`k=6`</body></html> | |
| 28118. |
z = 30x - 30y + 1800 is a objective function. The corner points of the feasible region are (15, 0), (15, 15), (10, 20), (0, 20) and (0, 15). z has the minimum value at …….. point. |
| 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/20-287209" style="font-weight:bold;" target="_blank" title="Click to know more about 20">20</a>)<br/>(0, <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/>(15, 0)<br/>(<a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a>, 20)</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> | |
| 28119. |
Statement 1: The line x-2y =2 meets the parabola y^(2) +2x=0only at the point(-2,-2) Statement 2:The liney= mx -1//2m (m ne 0 )is a tangent to the parabola , y ^(2)=-2xat the point (-( 1)/( 2m ^(2)), ( 1)/(m)) |
| 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 and Statement 2 are both false <br/>Statement 1 and Statement 2 are both <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/>Statement 1 is true and Statement 2 is false <br/>Statement 1 is false and statement 2 is true. </p>Answer :A</body></html> | |
| 28120. |
A number is chosen from the first 100 natural numbers. Find the probability that it is a multiple of 4 or 6. |
| 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/33-307818" style="font-weight:bold;" target="_blank" title="Click to know more about 33">33</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> | |
| 28121. |
Find :int(sqrtx+1/sqrtx)dx. |
| Answer» <html><body><p>`1/3x^(1/3)+<a href="https://interviewquestions.tuteehub.com/tag/2x-301182" style="font-weight:bold;" target="_blank" title="Click to know more about 2X">2X</a>^(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>)+<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/>`2/3x^(1/3)+1/2x^(2)+C`<br/>`2/3x^(3/2)+2x^(1/2)+C`<br/>`3/2x^(3/2)+1/2x^(1/2)+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> :C</body></html> | |
| 28122. |
The value of theta satisfying the given equation costheta+sqrt(3)sintheta=2, is |
| Answer» <html><body><p>`(<a href="https://interviewquestions.tuteehub.com/tag/pi-600185" style="font-weight:bold;" target="_blank" title="Click to know more about PI">PI</a>)/(3)`<br/>`(5pi)/(3)`<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>)/(3)`<br/>`(4pi)/(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> :A</body></html> | |
| 28123. |
Let f(x) =x^3+ax^2+bx+5 sin ^2x be an increasing function on the set R. Then a and b satisfy |
| Answer» <html><body><p>`a^2-3b-15gt0`<br/>`a^2-2b+15 <a href="https://interviewquestions.tuteehub.com/tag/gt0-2686118" style="font-weight:bold;" target="_blank" title="Click to know more about GT0">GT0</a>`<br/>`a^2-3b+15lt0`<br/>`a <a href="https://interviewquestions.tuteehub.com/tag/gt-1013864" style="font-weight:bold;" target="_blank" title="Click to know more about GT">GT</a> 0 and <a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a> gt 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> | |
| 28124. |
Each term of a sequence is the sum of its preceding two terms from the third term onwards. The second term of the sequence is -1 and the 10th term is 29. The first term is "_________" |
| 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/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a></body></html> | |
| 28125. |
Find the range of each of the following function: f(x)=cos^(-1)(((x-1)(x+5))/(x(x-2)(x-3))) |
| 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> :<a href="https://interviewquestions.tuteehub.com/tag/na-572417" style="font-weight:bold;" target="_blank" title="Click to know more about NA">NA</a></body></html> | |
| 28126. |
If (x^(2)-5x+7)/(x-1)^(3)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3) " then " A+B-C= |
| Answer» <html><body><p>5<br/>3<br/>0<br/>-5</p>Answer :D</body></html> | |
| 28127. |
Find the values of k so that the function f is continuous at the indicated point. f(x)={{:(kx+1," if "x le 5),(3x-5," if "x gt 5):}" at "x= 5. |
| 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/k-527196" style="font-weight:bold;" target="_blank" title="Click to know more about K">K</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>)/(<a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a>)`</body></html> | |
| 28128. |
Consider the equation|2x|-|x-4|=x+4 Total number of prime numbers less than 20 satisfying the equation is |
| Answer» <html><body><p>3<br/>4<br/>5<br/>6</p>Answer :D</body></html> | |
| 28129. |
If x=a(gt0) divides the area bounded by X-axis, part of the curve y=1+(8)/(x^(2)) and the ordinates x = 2, x = 4 into equal parts then a = |
| 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/>`<a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>(2)`<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>)/(sqrt(2))`<br/>`2sqrt(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> | |
| 28130. |
If f(x)=3x^(2)+15x+5, then the approximate value of f(3.02) is ………. |
| Answer» <html><body><p>`47.66`<br/>`57.66`<br/>`67.66`<br/>`77.66`</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> | |
| 28131. |
The value of c for which P(x=k)=ck^(2) can serve as the probabilitydistribution function of a random variable X that takes values 0, 1, 2, 3, 4 is |
| 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>)/(10)` <br/>`(1)/(15)` <br/>`(1)/(20)` <br/>`(1)/(<a href="https://interviewquestions.tuteehub.com/tag/30-304807" style="font-weight:bold;" target="_blank" title="Click to know more about 30">30</a>)` </p>Answer :D</body></html> | |
| 28132. |
If A and B are symmetric matrices of the same order , then (AB-BA)is a : |
| 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/ab-360636" style="font-weight:bold;" target="_blank" title="Click to know more about AB">AB</a></body></html> | |
| 28133. |
If (5,12), (24,7) are the foci of the hyperbola passing through origin, then its eccentricity is |
| Answer» <html><body><p>`(<a href="https://interviewquestions.tuteehub.com/tag/13-271882" style="font-weight:bold;" target="_blank" title="Click to know more about 13">13</a>)/(5)`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>(386)/(13)`<br/>`sqrt(386)/(<a href="https://interviewquestions.tuteehub.com/tag/25-296426" style="font-weight:bold;" target="_blank" title="Click to know more about 25">25</a>)`<br/>`sqrt(386)/(<a href="https://interviewquestions.tuteehub.com/tag/12-269062" style="font-weight:bold;" target="_blank" title="Click to know more about 12">12</a>)`</p>Answer :D</body></html> | |
| 28134. |
Find the centre and radius of the following circles: x^(2)+y^(2)-2x+4y-4=0 and 2x^(2)+2y^(2)+16x-28y+32=0. Also find the ratio of their diameters. |
| 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> :`3:7`</body></html> | |
| 28135. |
Evaluate int cot^(5) x 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/cot-936468" style="font-weight:bold;" target="_blank" title="Click to know more about COT">COT</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>))/(4)+(cot^(<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)+log|sinx|+c`</body></html> | |
| 28136. |
Prove that |{:(a+1,1,1),(1,b+1,1),(1,1,c+1):}|=abc(1/a+1/b+1/c+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/abc-360912" style="font-weight:bold;" target="_blank" title="Click to know more about ABC">ABC</a>(1/a+1/b+1/c+1)`</body></html> | |
| 28137. |
Find the derivative of the following functions with respect to x sin [cos(x^(2))] |
| Answer» <html><body><p><br/></p>Answer :`-2x sin <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>) <a href="https://interviewquestions.tuteehub.com/tag/cos-935872" style="font-weight:bold;" target="_blank" title="Click to know more about COS">COS</a> (cos x^(2))`</body></html> | |
| 28138. |
If no one in a group of friends has more than $75, what is the smallest number of people who could be in the group if the group purchease a flat - screen TV that costs $1,100? |
| 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/15-274069" style="font-weight:bold;" target="_blank" title="Click to know more about 15">15</a></body></html> | |
| 28139. |
If sinx+co secx+tany=4 whre x and y in[0,(pi)/(2)] then tan""(y)/(2) is a root of the equation. |
| Answer» <html><body><p>`a^(2)+2alpha+1=0`<br/>`a^(2)+2a=0`<br/>`2a^(2)-2a-1=0`<br/>`a^(2)-alpha-1=0`</p>Solution :`<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-tanB=(1)/(2)` <br/> `rArr(<a href="https://interviewquestions.tuteehub.com/tag/tana-1238944" style="font-weight:bold;" target="_blank" title="Click to know more about TANA">TANA</a>)/(1)=(<a href="https://interviewquestions.tuteehub.com/tag/cotb-2550693" style="font-weight:bold;" target="_blank" title="Click to know more about COTB">COTB</a>)/(2)=gamma`(<a href="https://interviewquestions.tuteehub.com/tag/say-1195451" style="font-weight:bold;" target="_blank" title="Click to know more about SAY">SAY</a>) <br/> `rArr tan A=gamma` and `tan B=(1)/(2lambda)` <br/> `therefore (<a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a>-3cos 2A)(5-3cos2B)` <br/> `=[5-(3(1-lambda^(2)))/((1+lambda^(2)))]xx[5-(3(1-(1)/(4lambda^(2))))/((1+(1)/(4lambda^(2))))]`</body></html> | |
| 28140. |
Method of integration by parts : If int_(n)=int(sinx)^(n)dx, x in N then the value (5I_(4)-6I_(6)) is..... |
| Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/sin-1208945" style="font-weight:bold;" target="_blank" title="Click to know more about SIN">SIN</a> x(cosx^(<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/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>`<br/>`sin2x-cos2x+c`<br/>`(Sin2x)/(8)(cos^(2)<a href="https://interviewquestions.tuteehub.com/tag/2x-301182" style="font-weight:bold;" target="_blank" title="Click to know more about 2X">2X</a>+1-cos 2x)+c`<br/>None of these</p>Answer :C</body></html> | |
| 28141. |
Calculate the weight of lime (CaO) obtained by heating 200 kg of 95% pure limestone (CaCO_(3)) : |
| Answer» <html><body><p>104.4 kg<br/>105.4 kg<br/>212.8 kg<br/>106.4 kg</p>Answer :A</body></html> | |
| 28142. |
Assertion (A) : (3^2)/(2!) +(3^4)/(4!)+(3^6)/(4!)+ .... = Cosh 3 -1 Reason (R) : Cosh x =1 +(x^2)/(2!) +x^4/(4!) + ..... |
| Answer» <html><body><p>A is true, <a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a> is true and R is <a href="https://interviewquestions.tuteehub.com/tag/correctexplanation-2547680" style="font-weight:bold;" target="_blank" title="Click to know more about CORRECTEXPLANATION">CORRECTEXPLANATION</a> of A <br/>A is true, R is true and R is not 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/>A is true , R is false <br/>A is false, R 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> :A</body></html> | |
| 28143. |
If 10 coins are tossed, find the odds against the event of getting atleast 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 href="https://interviewquestions.tuteehub.com/tag/11-267621" style="font-weight:bold;" target="_blank" title="Click to know more about 11">11</a> : <a href="https://interviewquestions.tuteehub.com/tag/1013-1772282" style="font-weight:bold;" target="_blank" title="Click to know more about 1013">1013</a>`</body></html> | |
| 28144. |
Integrate the functions (x)/((1+x)^(2)) |
| Answer» | |
| 28145. |
Find the range of x for which the binomial expansions of the following are valid .(2 + 5x)^(-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/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a>), 2/5)`</body></html> | |
| 28146. |
Solve for x tan^(-1) ((1-x)/(1+x))=(1)/(2) tan^(-1)x, x gt 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> :`1/sqrt3`</body></html> | |
| 28147. |
Two circles are such that one is inscribed in and the other is circumscribed about a square A _(1), A _(2), A _(3), A_(4), If the length of each side of the square is a and P, Q are two points respectively on these circles, then |sum_(i =1) ^(4) (PAi) ^(2) -sum_(i =1) ^(4) (AQi) ^(2) |= |
| Answer» <html><body><p>`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>) //<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/>`a ^(2) //2`<br/>`a ^(2) `<br/>`<a href="https://interviewquestions.tuteehub.com/tag/2a-300249" style="font-weight:bold;" target="_blank" title="Click to know more about 2A">2A</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> :<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> | |
| 28148. |
For the parabola y=-x^(2), let a lt 0 and b gt 0,P(a, -a^(2)) and Q(b, -b^(2)). Let M be the mid-point of PQ and R be the point of intersection of the verticalline through M, with the parabola. If the ratio of the area of the region bounded by the parabolaand the line segmentPQ to the area of the triangle PQR be (lambda)/(mu), where lambda and mu are relatively prime positive integers, then find the value of (lambda+mu): |
| 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> | |
| 28149. |
The probability distribution of random variable X is as follows: Find 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> :`<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>)/(<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> | |
| 28150. |
Integration using rigonometric identities : int sin 4x*e^(tan^(2)x)dx=a cos^(b)x*e^(tan^(2)x)+c then the value of a^(2a) is .... |
| Answer» <html><body><p>256<br/>265<br/>285<br/>156</p>Answer :A</body></html> | |