1. | The angular frequency of alternating current in a LCR circuit is 100rad/s. The components connec.... | 0 | |
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2. | Consider the above reaction, the product ' X " and ' Y ' respectively are:.... | 0 | |
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3. | The total number of amines among the following which can be synthesized by Gabriel synthesis is.... | 0 | |
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4. | Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Re.... | 0 | |
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5. | Consider the following reaction scheme and choose the correct option(s) for the major products Q.... | 0 | |
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6. | The reaction of 4-methyloct-ene \((\mathrm{P}, 2.52 \mathrm{~g})\) with \(\mathrm{HBr}\) in the .... | 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 major product of the following reaction is
.... | 0 | |
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9. | Let the area enclosed by the lines x+y=2,y=0,x=0 and the curve f(x)=minx2+34,1+[x] whe.... | 0 | |
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10. | In the given circuit the AC source has ω=100rads-1. Considering the inductor and capacitor .... | 0 | |
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11. | The number of species having a square planar shape from the following is\[XeF _4, SF _4, SiF _4,.... | 0 | |
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12. | Given below are two statements:Statement-I: Aniline is less basic than acetamide.Statement-II: I.... | 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. | 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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15. | If \([x]\) is the greatest integer \(\leq x\), then \(\pi^2 \int_0^2\left(\sin \frac{\pi x}{2}\r.... | 0 | |
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16. | Let \(e_1\) and \(e_2\) be the eccentricities of the ellipse, \(\frac{x^2}{25}+\frac{y^2}{b^2}=1.... | 0 | |
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17. | Let \(a \in Z\) and \([t]\) be the greatest integer \(\leq t\). Then the number of points, where.... | 0 | |
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18. | Let \(f:R \rightarrow R\) be given by
f(x)=x5+5x4+10x2+3x+1 , x <0x2-x+1 .... | 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 [t] denote the greatest integer ≤t. Then I=2π∫π/65π/6(8.... | 0 | |
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21. | A boy pushes a box of mass 2 kg with a force F→=(20i^+10j^)N on a frictionless surface.... | 0 | |
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22. | Match List-I with List-II.
Choose the correct answer from the options given below:.... | 0 | |
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23. | The hybridization and magnetic behaviour of cobalt ion in \(\left[ Co \left( NH _3\right)_6\righ.... | 0 | |
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24. | The number of paramagnetic species from the following is------------\[\begin{aligned}& {\lef.... | 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. | cos-1(cos(-5))+sin-1(sin(6))-tan-1(tan(12)) is equal to: (The inverse trigonometric functio.... | 0 | |
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27. | A cylindrical furnace has height \(( H )\) and diameter \(( D )\) both \(1 m\). It is maintained.... | 0 | |
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28. | The decreasing order or reactivity of the following compounds towards nucleophilic substitution .... | 0 | |
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29. | Let. 5f(x)+4f1x=1x+3,x>0 Then 18∫12f(x)dx is equal to:.... | 0 | |
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30. | Let \(f(x)=\max \{|x+1|,|x+2|, \ldots,|x+5|\}\). Then \(\int_{-6}^0 f(x) d x\) is equal to _____.... | 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. | 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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33. | Which of the following statement is incorrect?.... | 0 | |
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34. | In the following given reaction ' \(A\) ' is
.... | 0 | |
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35. | Let \(J_{n, m}=\int_0^{1 / 2} \frac{x^n}{x^m-1} d x, \forall n>m\) and \(n, m \in N\). Consid.... | 0 | |
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36. | The metal which is extracted by oxidation and subsequent reduction from its ore is:.... | 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. | 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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39. | Let the lines\[\begin{aligned}& L_1: \vec{r}=\lambda(\hat{i}+2 \hat{j}+3 \hat{k}), \lambda \.... | 0 | |
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40. | \(\text { If } y(x)=x^x, x>0 \text {, then } y^{\prime \prime}(2)-2 y^{\prime}(2) \text { is .... | 0 | |
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41. | Match List-I with List-II.
List-I .... | 0 | |
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42. | But-2-yne is reacted separately with one mole of Hydrogen as shown below:
Identify the incorrect.... | 0 | Show |
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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. | 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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45. | Le \(P_1\) and \(P_2\) be two planes given by\[\begin{aligned}& P_1: 10 x+15 y+12 z-60=0 \\&.... | 0 | |
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46. | The number of matrices \(A=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]\), wh.... | 0 | |
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47. | The expected graphical representation of the variation of angle of deviation ' \(\delta\) ' with.... | 0 | |
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48. | The major product formed in the following reaction is :\(\mathrm{CH}_3 \mathrm{CH}=\mathrm{CHCH}.... | 0 | |
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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. | Measuring Zeta potential is useful in determining which property of colloidal solution?.... | 0 | |
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51. | Let \(\vec{a}=2 \hat{i}-\hat{j}+2 \hat{k}\) and \(\vec{b}=\hat{i}+2 \hat{j}-\hat{k}\). Let a vec.... | 0 | |
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52. | If \(1, \log _{10}\left(4^x-2\right)\) and \(\log _{10}\left(4^x+\frac{18}{5}\right)\) are in ar.... | 0 | Vlog |
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53. | 100 mL of 5%( w/v) solution of NaCl in water was prepared in 250 mL beaker. Albumin from the egg.... | 0 | |
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54. | An incompressible liquid is kept in a container having a weightless piston with a hole. A capill.... | 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 noble gas that does not occur in the atmosphere is:.... | 0 | |
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57. | Let \(z\) be a complex number such that \(\left|\frac{z-2 i}{z+i}\right|=2, z \neq-i\). Then \(z.... | 0 | |
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58. | If dydx=2xy+2y·2x2x+2x+yloge2,y(0)=0, then for \(y = 1\), the value of \(x\) lies in the .... | 0 | Vlog |
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59. | Let the shortest distance between the lines \(L: \frac{x-5}{-2}=\frac{y-\lambda}{0}=\frac{z+\lam.... | 0 | |
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60. | The position-time graphs for two students \(A\) and \(B\) returning from the school to their hom.... | 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. | 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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63. | The function \(f: R \rightarrow R\) defined by \(f(x)=\lim _{x \rightarrow \infty} \frac{\cos (2.... | 0 | |
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64. | If the domain of the functionf(x)=sec-12x5x+3 is [α,β)∪(γ,δ], then&nb.... | 0 | Let's Play |
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65. | Let \(A\) be a \(n \times n\) matrix such that \(|A|=2\). If the determinant of the matrix \(\op.... | 0 | |
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66. | If the digits are not allowed to repeat in any number formed by using the digits \(0,2,4,6,8\), .... | 0 | |
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67. | The value of cos210°-cos10° cos50°+ cos250° is.... | 0 | |
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68. | 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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69. | The major product of the following chemical reaction is:
CH3CH2CN→(3)Pd/BaSO4,H2(2)SOCl2(1).... | 0 | |
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70. | If ∫sec2x-1dx=αlogecos2x+β+cos2x1+cos1βx
constant, then β-α .... | 0 | Let's Play |
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71. | Verbal Ability & Reading Comprehension | Critical Reasoning | Critical Reasoning | Types of Crit.... | 0 | |
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72. | Let \(S\) be the sample space of all five digit numbers. It \(p\) is the probability that a rand.... | 0 | |
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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. | 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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75. | →(2)Cr2O3,773K10−20atm(1)Zn/HCl
Considering the above reaction, the major product amo.... | 0 | |
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76. | For the system of linear equations\(\begin{aligned}& x+y+z=6 \\& \alpha x+\beta y+7 z=3 .... | 0 | Let's Play |
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77. | Data Interpretation & Logical Reasoning | Logical Reasoning | Introduction | Introduction | Conc.... | 1 | Vlog |
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78. | For a natural number \(n\), let \(\alpha_n=19 n-12^n\). Then, the value of \(\frac{31 \alpha_9-\.... | 0 | Let's Play |
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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. | 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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81. | Match List-I and List-II.
List-I
List-II
(A)
(I) Br2/NaOH
(B)
(II) H2/Pd-BaSO.... | 0 | |
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82. | Verbal Ability & Reading Comprehension | Critical Reasoning | Critical Reasoning Questions_Infer.... | 0 | |
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83. | Data Interpretation & Logical Reasoning | Logical Reasoning | Puzzle/Seating Arrangement | Seati.... | 0 | Vlog |
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84. | Let \(\left\{a_n\right\}_{n=0}^{\infty}\) be a sequence such that \(a_0=a_1=0\) and \(a_{n+2}=3 .... | 0 | |
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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. | If the letters of the word MATHS are permuted and all possible words so formed are arranged as i.... | 0 | |
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87. | The final product ' C ' in the following series of reactions
.... | 0 | |
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88. | Which one of the following structures has the IUPAC name 3-ethynyl-2-hydroxy-4-methylhex-3-en-5-.... | 0 | |
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89. | Which one of the following compounds will give orange precipitate when treated with 2,4-Dinitrop.... | 0 | |
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90. | Statement-I: For colloidal particles, the values of colligative properties are of small order as.... | 0 | |
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91. | The value of the definite integral ∫π/245π/24dx1+tan2x3.... | 0 | |
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92. | Verbal Ability & Reading Comprehension | Critical Reasoning | Conclusion | Conclusion | Concept .... | 0 | |
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93. | Statement-I: Dipole moment is a vector quantity and by convention it is depicted by a small arro.... | 0 | |
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94. | The number of nitrogen atoms in a semicarbazone molecule of acetone is ____..... | 0 | |
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95. | The major products A and B from the following reactions are:
.... | 0 | |
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96. | \(2 \cdot \ ^{20}C_{0} + 5 \cdot \ ^{20}C_{1} + 8 \cdot \ ^{20}C_{2} + 11 \cdot \ ^{20}C_{3} + \.... | 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. | Which of the following ketone will NOT give enamine on treatment with secondary amines? [where t.... | 0 | |
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99. | Match List-I with List-II.
List-I (Parameter)
List-II (Unit)
(A) Cell constant
(I) \(.... | 0 | |
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100. |  Following tetrapeptide can be represented as 
 (F, L, D, Y, I, Q, P are one let.... | 0 | |
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