| 1. | The angular frequency of alternating current in a LCR circuit is 100rad/s. The components connec.... | 0 | |
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| 2. | An organic compound (A) contains nitrogen and chlorine. It dissolves readily in water to give a .... | 0 | |
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| 3. | Consider the above reaction, the product ' X " and ' Y ' respectively are:.... | 0 | |
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| 4. | The major product formed in the following reaction, is
.... | 0 | |
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| 5. | →H2O'A′.... | 0 | |
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| 6. | →(ii) H3O+](i) DiBAL-H, Toluene, -78°C" P" (Major Product)&n.... | 0 | |
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| 7. | The area enclosed by the curves y2+4x=4 and y-2x=2 is:.... | 0 | |
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| 8. | The variation of the rate of an enzyme catalyzed reaction with substrate concentration is correc.... | 0 | |
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| 9. | The major product of the following reaction is
.... | 0 | |
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| 10. | Given below are two statements, one is labelled as Assertion (A) and other is labelled as Reason.... | 0 | |
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| 11. | Let a function \(f: R \rightarrow R\) be defined as:\[f(x)=\left\{\begin{array}{lll}\int_0^x(5-|.... | 0 | |
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| 12. | The major products A and B formed in the following reaction sequence are:
.... | 0 | |
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| 13. | At \(298.2 K\) the relationship between enthalpy of bond dissociation ( in \(kJ mol ^{-1}\) ) fo.... | 0 | Let's Play |
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| 14. | For a gas \(C_P-C_V=R\) in a state \(P\) and \(C_p-C_V=1.10 R\) in a state \(Q, T_p\) and \(T_Q\.... | 0 | |
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| 15. | Let the tangent to the curve \(x^2+2 x-4 y+9=0\) at the point \(P(1,3)\) on it meet the \(y\)-ax.... | 0 | |
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| 16. | The value of the integral ∫1/22tan-1xxdx is equal to.... | 0 | |
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| 17. | If the area of the region S=(x,y):2y-y2≤x2≤2y,x≥y is equal to n+2n+1-πn-1.... | 0 | |
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| 18. | Let \(A=\left[\begin{array}{cc}\frac{1}{\sqrt{10}} & \frac{3}{\sqrt{10}} \\ \frac{-3}{\sqrt{.... | 0 | |
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| 19. | A smooth wire of length \(2 \pi r\) is bent into a circle and kept in a vertical plane. A bead c.... | 0 | |
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| 20. | Let \(\omega=z \bar{z}+k_1 z+k_2 i z+\lambda(1+i), k_1, k_2 \in R . \operatorname{Let} \operator.... | 0 | |
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| 21. | Let [t] denote the greatest integer ≤t. Then I=2π∫π/65π/6(8.... | 0 | |
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| 22. | Let \(A\) be a \(3 \times 3\) matrix with \(\operatorname{det}(A)=4\). Let \(R_i\) denote the \(.... | 0 | |
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| 23. | The area of the regionA=(x,y):|cosx-sinx|≤y≤sinx,0≤x≤π2.... | 0 | |
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| 24. | Which of the following is structure of a separating funnel?.... | 0 | |
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| 25. | The following metal ion activates many enzymes, participates in the oxidation of glucose to prod.... | 0 | |
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| 26. | Let 5 digit numbers be constructed using the digits \(0,2,3,4,7,9\) with repetition allowed, and.... | 0 | |
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| 27. | cos-1(cos(-5))+sin-1(sin(6))-tan-1(tan(12)) is equal to: (The inverse trigonometric functio.... | 0 | |
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| 28. | If \(A=\frac{1}{5 ! 6 ! 7 !}\left[\begin{array}{lll}5 ! & 6 ! & 7 ! \\ 6 ! & 7 ! &am.... | 0 | |
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| 29. | Which one of the following chemicals is responsible for the production of \(HCI\) in the stomach.... | 0 | |
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| 30. | An inorganic compound ' \(X\) ' on treatment with concentrated \(H _2 SO _4\) produces brown fum.... | 0 | |
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| 31. | Increasing order of stability of the resonance structure is:
(A)
(B)
(C)
(D)
.... | 0 | |
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| 32. | An annular disk of mass \(M\), inner radius \(a\) and outer radius \(b\) is placed on a horizont.... | 0 | |
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| 33. | If α>β>0 are the roots of the equation ax2+bx+1=0, and limx→1a1-cosx2.... | 0 | Let's Play |
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| 34. | Let \(D_k=\left|\begin{array}{ccc}1 & 2 k & 2 k-1 \\ n & n^2+n+2 & n^2 \\ n &.... | 0 | |
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| 35. | For m,n>0, let α(m,n)=∫02tm(1+3t)ndt. If 11α(10,6)+18α(11,5)=p(14).... | 0 | Let's Play |
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| 36. | A wide slab consisting of two media of refractive indices \(n_1\) and \(n_2\) is placed in air a.... | 0 | |
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| 37. | If \(\frac{6}{3^{12}}+\frac{10}{3^{11}}+\frac{20}{3^{10}}+\frac{40}{3^9}+\ldots+\frac{10240}{3}=.... | 0 | |
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| 38. | A thin circular coin of mass \(5 \mathrm{gm}\) and radius \(4 / 3 \mathrm{~cm}\) is initially in.... | 0 | |
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| 39. | Number of 4-digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11.... | 0 | |
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| 40. | Two infinite planes each with uniform surface charge density \(+\sigma\) are kept in such a way .... | 0 | |
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| 41. | The major product in the following conversion is
.... | 0 | |
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| 42. | The number of statement's, which are correct with respect to the compression of carbon dioxide f.... | 0 | |
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| 43. | Two dice \(A\) and \(B\) are rolled, Let the numbers obtained on \(A\) and \(B\) be \(\alpha\) a.... | 0 | Let's Play |
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| 44. | Let the line \(L\) pass through the point \((0,1,2)\), intersect the line \(\frac{x-1}{2}=\frac{.... | 0 | |
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| 45. | The number of real roots of the equation \(e^{4 x}+e^{3 x}-4 e^{2 x}+e^x+1=0 \) is equal t.... | 0 | |
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| 46. | Let \(P_1=I=\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\.... | 0 | |
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| 47. | Suppose you have taken a dilute solution of oleic acid in such a way that its concentration beco.... | 0 | |
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| 48. | Enthalpies of formation of \(CCl _4\left( g , H _2 O ( g ), CO _2( g )\right.\) and \(HCl ( g )\.... | 0 | Let's Play |
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| 49. | The number of incorrect statement/s from the following is/are(a) Water vapours are adsorbed by a.... | 0 | |
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| 50. | If \(m\) and \(n\) respectively are the numbers of positive and negative value of \(\theta\) in .... | 0 | |
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| 51. | Measuring Zeta potential is useful in determining which property of colloidal solution?.... | 0 | |
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| 52. | Which one of the following pairs of isomers is an example of metamerism?.... | 0 | |
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| 53. | A uniform conducting wire of length \(12a\) and resistance ' \(R\) ' is wound up as a current ca.... | 0 | |
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| 54. | If \(f: R \rightarrow R\) be a continuous function satisfying \(\int_0^{\pi / 2} f(\sin 2 x) \cd.... | 0 | |
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| 55. | Let \(\frac{\sin A}{\sin B}=\frac{\sin (A-C)}{\sin (C-B)}\), where \(A, B, C\) are angles of a t.... | 0 | | Counter-Strike: Source
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| 56. | The area of the bounded region in the first quadrant (x,y): xy≤8,1≤y≤x2&n.... | 0 | |
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| 57. | The noble gas that does not occur in the atmosphere is:.... | 0 | |
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| 58. | A thin convex lens is made of two materials with refractive indices \(n_1\) and \(n_2\), as show.... | 0 | Show |
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| 59. | Which of the following compounds shows geometrical isomerism?.... | 0 | Show |
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| 60. | The value of ∫-π2π21+sin2x1+πsinxdx is:.... | 0 | |
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| 61. | Consider the line \(L\) given by the equation\(\frac{x-3}{2}=\frac{y-1}{1}=\frac{z-2}{1}\). Let .... | 0 | |
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| 62. | A hyperbola having the transverse axis of length \(\sqrt{2}\) has the same foci as that of the e.... | 0 | |
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| 63. | Let \(P_1\) be the plane \(3 x-y-7 z=11\) and \(P_2\) be the plane passing through the points \(.... | 0 | |
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| 64. | Let the mirror image of the point \((a, b, c)\) with respect to the plane \(3 x-4 y+12 z+19=0\) .... | 0 | |
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| 65. | Identify the correct output signal Y in the given combination of gates (as shown) for the given .... | 0 | Show |
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| 66. | Let \(A\) be a \(3 \times 3\) real matrix. If \(\operatorname{det}\left(2 \operatorname{adj}(2 \.... | 0 | |
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| 67. | The value of cos210°-cos10° cos50°+ cos250° is.... | 0 | |
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| 68. | Consider \(M\) with \(r=\frac{\left(2^{199}-1\right) \sqrt{2}}{2^{190}}\). The number of all tho.... | 0 | |
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| 69. | Let g(t)=∫-π/2π/2cosπ4t+f(x)dx, where f(x)=logex+x2+1,x∈R. Then which one of t.... | 0 | Vlog |
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| 70. | If \(\vec{a} \cdot \vec{b}=1, \vec{b} \cdot \vec{c}=2, \vec{c} \cdot \vec{a}=3\), then the value.... | 0 | |
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| 71. | Given below are two statements.
Statement-I: \(O _2, Cu ^{2+}\), and \(Fe ^{3+}\) are weakly att.... | 0 | |
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| 72. | Let \(f(x)=\int \frac{2 x}{\left(x^2+1\right)\left(x^2+3\right)} d x\).If f(3)=12loge5-log.... | 0 | Vlog |
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| 73. | Let \(S=\left\{\theta \in(0,2 \pi): 7 \cos ^2 \theta-3 \sin ^2 \theta-2 \cos ^2 2 \theta=2\right.... | 0 | |
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| 74. | The number of triplets \((x, y, z)\). where \(x, y, z\) are distinct non negative integers satis.... | 0 | |
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| 75. | Let \(M=\left(a_{i j}\right), i, j \in\{1,2,3\}\) be the \(3 \times 3\) matrix such that \(a_{i .... | 0 | |
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| 76. | Let \(\vec{a}=\alpha \hat{i}+\hat{j}+\beta \hat{k}\) and \(\vec{b}=3 \hat{i}+5 \hat{j}+4 \hat{k}.... | 0 | Let's Play |
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| 77. | The point \(P(a, b)\) undergoes the following three transformations successively:(A) reflection .... | 0 | |
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| 78. | o-Phenylenediamine → Major Product HNO2 ' X ' is.... | 0 | |
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| 79. | Let the sum of the coefficients of the first three terms in the expansion of x-3x2n,x≠0,n&isi.... | 0 | |
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| 80. | Quantitative Aptitude | Arithmetic | Mixture and Alligation | Mixture and Alligation | Question .... | 0 | |
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| 81. | Let y = y(x) be the solution of the differential equation dydx=(y+1)(y+1)ex2/2-x,0<x<.... | 0 | |
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| 82. | Let \(S\) be the set of all the natural numbers, for which the line \(\frac{x}{a}+\frac{y}{b}=2\.... | 0 | |
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| 83. | Let \(f:(0,1) \rightarrow R\) be the functions defined as \(f(x)=\sqrt{n}\) if \(x \in\left[\fra.... | 0 | |
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| 84. | The first ionization enthalpies of \(\mathrm{Be}, \mathrm{B}, \mathrm{N}\) and \(\mathrm{O}\) fo.... | 0 | Let's Play |
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| 85. | The equation \(\arg \left(\frac{z-1}{z+1}\right)=\frac{\pi}{4}\) represents a circle with:.... | 0 | |
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| 86. | In the above reaction, the structural formula of (A),(X) and (Y) respectively are:.... | 0 | |
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| 87. | If the letters of the word MATHS are permuted and all possible words so formed are arranged as i.... | 0 | |
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| 88. | Let \(z=a+i b, b \neq 0\) be complex numbers satisfying \(z^2=\bar{z} \cdot 2^{1-|z|}\). Then th.... | 0 | |
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| 89. | If \(I_{m, n}=\int_0^1 x^{m-1}(1-x)^{n-1} d x\), for \(m, n \geq 1\), and \(\int_0^1 \frac{x^{m-.... | 0 | |
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| 90. | If the angular velocity of earth's spin is increased such that the bodies at the equator start f.... | 0 | |
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| 91. | The value of the definite integral ∫π/245π/24dx1+tan2x3.... | 0 | |
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| 92. | If P11+2.P22+3·P33+…..+15·P1515=Prq-s,0≤s≤1, then Cr-sq+s is eq.... | 0 | |
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| 93. | Verbal Ability & Reading Comprehension | Critical Reasoning | Conclusion | Conclusion | Concept .... | 0 | |
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| 94. | Let \(k\) and \(m\) be positive real numbers such that the function \(f(x)=\left\{\begin{array}{.... | 0 | |
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| 95. | Apersonforgetshis4-digitATMpincode. Butheremembers that in the code all the digits are different.... | 0 | |
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| 96. | What will be the major product of following sequence of reactions?\(\mathrm{n}-\mathrm{Bu}-\equi.... | 0 | |
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| 97. | Let \(B=\left[\begin{array}{lll}1 & 3 & \alpha \\ 1 & 2 & 3 \\ \alpha & \alp.... | 0 | Let's Play |
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| 98. | If the standard electrode potential for a cell is \(2 \mathrm{~V}\) at 300 \(\mathrm{K}\), the e.... | 0 | |
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| 99. | Which of the following ketone will NOT give enamine on treatment with secondary amines? [where t.... | 0 | |
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| 100. | Let \(X=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0\end{.... | 0 | |
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