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25. The two forms of D-glucopyranose obtained from the solution of D-glucose are called (a) Isomers (b) Anomers (c) Epimers (d) Enantiomers
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5. The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On rechecking, it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation in each of the following cases: (i) If wrong item is omitted. (ii) If it is replaced by 12 .
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What world did Pugin dislike?
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Which was the better movie, Doctor Strange or Fantastic Beasts?
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76. Match the statements/expressions given in Column I with the values given in Column II. | |Column I | Column II | | :--- | :--- | :---: | | (A)| The number of solutions of the equation $x \mathrm{e}^{\sin x}-\cos x=0$ in the interval $[0, \frac{\pi}{2}]$ is | (p ) 1 | | (B)| Value(s) of $\mathrm{k}$ for which the ...
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How do I delete Quora account?
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27. In the figure shown a smooth ring is connected to $\operatorname{rod} A B$, while rod $C D$ passes through ring. At the given instant angular velocity of rod $A B$ about hinge $A$ is $1 \mathrm{rad} / \mathrm{s}$ and $A C=C B$. Instantaneous angular velocity of $\operatorname{rod} C D$ about hinge $C$ is (a) $1 \ma...
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Why do you choose to "follow" particular users on Quora? What factors are important to you when deciding whether to click the "follow" button?
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19. The probability that $x_{1}+x_{2}+x_{3}$ is odd, is (a) $\frac{29}{105}$ (b) $\frac{53}{105}$ (c) $\frac{57}{105}$ (d) $\frac{1}{2}$
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How can I view a private Instagram?
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Should Muslims in the Middle Eastern countries give more food and jobs to Indian immigrants to win the hearts and minds of Indians in India?
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39. Which one is more soluble in diethyl ether - anhydrous $\mathrm{AlCl}_{3}$ or hydrous $\mathrm{AlCl}_{3}$ ? Explain in terms of bonding.
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3. Let $f:[0,1] \rightarrow R$ be such that $f(x y)=f(x) . f(y)$, for all $x, y \in[0,1]$ and $f(0) \neq 0$. If $y=y(x)$ satisfies the differential equation, $\frac{d y}{d x}=f(x)$ with $y(0)=1$, then $y \frac{1}{4}+y \frac{3}{4}$ is equal to (a) 5 (b) 3 (c) 2 (d) 4
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4. In an AC circuit, the power factor (a) is unity when the circuit contains an ideal resistance only (b) is unity when the circuit contains an ideal inductance only (c) is zero when the circuit contains an ideal resistance only (d) is zero when the circuit contains an ideal inductance only
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2. Two particles $A$ and $B$, each of mass $m$ are kept stationary by applying a horizontal force $F=m g$ on particle $B$ as shown in figure. Then ![](https://cdn.mathpix.com/cropped/2024_06_07_7e152b5e3847884297fcg-356.jpg?height=405&width=381&top_left_y=425&top_left_x=776) (a) $\tan \beta=2 \tan \alpha$ (b) $2 T_{1}...
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Can we use NSAIDs to treat chronic inflammation? And why?
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Ex. 26. Calculate the percentage of free $\mathrm{SO}_{3}$ in an oleum (considered as a solution of $\mathrm{SO}_{3}$ in $\mathrm{H}_{2} \mathrm{SO}_{4}$ ) that is labelled ' $109 \% \mathrm{H}_{2} \mathrm{SO}_{4}$ '.
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17. The solubility order for alkali metal fluoride in water is (a) $\mathrm{LiF}<\mathrm{RbF}<\mathrm{KF}<\mathrm{NaF}$ (b) $\mathrm{RbF}<\mathrm{KF}<\mathrm{NaF}<\mathrm{LiF}$ (c) $\mathrm{LiF}>\mathrm{NaF}>\mathrm{KF}>\mathrm{RbF}$ (d) $\mathrm{LiF}<\mathrm{NaF}<\mathrm{KF}<\mathrm{RbF}$
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What did renaissance humanism place an emphasis on?
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17. The correct order of thermal stability of hydroxides is: (a) $\mathrm{Ba}(\mathrm{OH})_{2}<\mathrm{Ca}(\mathrm{OH})_{2}<\mathrm{Sr}(\mathrm{OH})_{2}<\mathrm{Mg}(\mathrm{OH})_{2}$ (b) $\mathrm{Mg}(\mathrm{OH})_{2}<\mathrm{Sr}(\mathrm{OH})_{2}<\mathrm{Ca}(\mathrm{OH})_{2}<\mathrm{Ba}(\mathrm{OH})_{2}$ (c) $\math...
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What do you think of the GST 4 -tier structure of 5%, 12%, 18% and 28%? Will it be beneficial for the economy?
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56. In Fig. 5-51a, a constant horizontal force $\vec{F}_{a}$ is applied to block $A$, which pushes against block $B$ with a 20.0 N force directed horizontally to the right. In Fig. 5-51b, the same force $\vec{F}_{a}$ is applied to block $B$; now block $A$ pushes on block $B$ with a 10.0 N force directed horizontally t...
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15. Consider the following compound: ![](https://cdn.mathpix.com/cropped/2024_07_29_90dbbc6c1b947b050cb5g-120.jpg?top_left_x=693&top_left_y=863&width=462&height=193) Which of the following homologous series does the above compound belong to? (A) Amines (B) Alcohols (C) Ketones (D) Carboxylic acids
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How is the Lewis dot structure for glycerol determined?
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14. Which is not a proper resonance structure for 1, 3-butadiene? (A) $\mathrm{CH}_{2}=\mathrm{CH}-\mathrm{CH}=\mathrm{CH}_{2}$ (B) $\dot{\mathrm{C}} \mathrm{H}_{2}-\mathrm{CH}=\mathrm{CH}-\dot{\mathrm{C}} \mathrm{H}_{2}$ (C) $: \stackrel{-}{\mathrm{C}} \mathrm{H}_{2}-\mathrm{CH}=\mathrm{CH}-\stackrel{+}{\mathrm{C}} \m...
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Can Trump actually keep his campaign promises?
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18. If vectors $\vec{a}$ and $\vec{b}$ are two adjacent sides of a parallelogram, then the vector representing the altitude of the parallelogram which is perpendicular to $\vec{a}$ is a. $\vec{b}+\frac{\vec{b} \times \vec{a}}{|\vec{a}|^{2}}$ b. $\frac{\vec{a} \cdot \vec{b}}{|\vec{b}|^{2}}$ c. $\vec{b}-\frac{\vec{b} \cd...
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20. In the electrolysis of $\mathrm{H}_{2} \mathrm{O}, 11 \cdot 2$ litres of $\mathrm{H}_{2}$ was liberated at cathode at NTP. How much $\mathrm{O}_{2}$ will be liberated at anode under the same conditions? (a) 11.2 litres (b) 22.4 litres (c) 32 g (d) 5.6 litres
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1.98. At the moment $t=0$ a particle of mass $m$ starts moving due to a force $\mathbf{F}=\mathrm{F}_{0} \sin \omega t$, where $\mathbf{F}_{0}$ and $\omega$ are constants. Find the distance covered by the particle as a function of $t$. Draw the approximate plot of this function.
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What is the best college for doing an MS in natural science in Germany?
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4.6 A reaction is second order with respect to a reactant. How is the rate of reaction affected if the concentration of the reactant is (i) doubled (ii) reduced to half ?
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In what location is The Qutub Festival held?
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In the 15th century, the ruler of which port embraced Islam?
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How many days in a week should I workout?
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6. Three isomers A, B and $\mathrm{C}$ (mol. formula $\left.\mathrm{C}_{8} \mathrm{H}_{11} \mathrm{~N}\right)$ give the following results : $\mathrm{A}$ and $\mathrm{C} \xrightarrow{\text { Diaroitialion }} \mathrm{P}+\mathrm{Q} \xrightarrow[\substack{\text { (ii) Oxidation } \\\left(\mathrm{KMnO}_{4}+\mathrm{H}^{+}\r...
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How can I import my Gmail phone contacts?
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11. A solid conducting sphere having a charge $Q$ is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be $V$. If the shell is now given a change of $-3 Q$, the new potential dif...
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43. The cyanide process of gold extraction involves leaching out gold from its ore with $\mathrm{CN}^{-}$in the presence of $Q$ in water to form $R$. Subsequently, $R$ is treated with $T$ to obtain $A u$ and $Z$. Choose the correct option(s) (a) $Q$ is $\mathrm{O}_{2}$ (b) $T$ is $\mathrm{Zn}$ (c) $Z$ is $\left[\m...
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13. $\vec{a}, \vec{b}$ and $\vec{c}$ are three coplanar unit vectors such that $\vec{a}+\vec{b}+\vec{c}=0$. If three vectors $\vec{p}, \vec{q}$ and $\vec{r}$ are parallel to $\vec{a}, \vec{b}$ and $\vec{c}$, respectively, and have integral but different magnitudes, then among the following options, $|\vec{p}+\vec{q}+\v...
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What parts of Maoism find their way into the Marxism–Leninism–Maoism (M–L–M or MLM) school of political philosophy? Which ones are rejected outright?
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Which scenes are copied from Hollywood to Bollywood movies?
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57. $\mathrm{KMnO}_{4}+\mathrm{HCl}=\mathrm{Cl}_{2}+\mathrm{KCl}+\mathrm{MnCl}_{2}+\mathrm{H}_{2} \mathrm{O}$
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1. An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by $100 \mathrm{~Hz}$ than the fundamental frequency of the open pipe. The fundamental frequency of the open pipe is (a) $200 \mathrm{~Hz}$ (b) $300 \mathrm{~Hz}$ (c) $240 \mathr...
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Example 1.50 Find the range of $f(x)=[\sin \{x\}]$ where $\{$. represents the fractional part function, [.] represents greatest the integer function.
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2. Consider 5 points in a plane are situated so that no two of the straight lines joining them are parallel, perpendicular, or co incident. From each point perpendiculars are drawn to all the lines joining the other four points. If k is the maximum number of intersections that these perpendiculars can have? Then (a) mo...
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4. Butanoic acid can be reduced to a primary alcohol. Which of the following compounds is the position isomer of the primary alcohol? (A) $\mathrm{CH}_{3} \mathrm{COCH}_{2} \mathrm{CH}_{3}$ (B) $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{OH}$ (C) $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{...
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39. Sulphur molecules exist under various conditions as $\mathrm{S}_8, \mathrm{~S}_6, \mathrm{~S}_4, \mathrm{~S}_2$ and S . (a) Is the mass of one mole of each of these molecules the same? (b) Is the number of molecules in one mole of each of these molecules the same? (c) Is the mass of sulphur in one mole of each of t...
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What it is to be like exceptionally intelligent?
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I am 16. Is it too late to practice a sport?
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Relation between mmf, reluctance and flux?
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What effects did the flash forwards have on the series "Lost"?
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How do you start a career in politics?
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What do you think of this video?
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Did your life ever go according to your plan?
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2. When neopentyl alcohol is heated with an acid, it slowly converted into an $85: 15$ mixture of alkenes $\mathrm{A}$ and $\mathrm{B}$, respectively. What are these alkenes? (a) ![](https://cdn.mathpix.com/cropped/2024_05_03_616bdce11c835394482dg-332.jpg?height=161&width=484&top_left_y=912&top_left_x=1589) (b) ![...
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4. A particle moves from the point $(2.0 \hat{\mathbf{i}}+4.0 \hat{\mathbf{j}}) \mathrm{m}$ at $t=0$ with an initial velocity $(5.0 \hat{\mathbf{i}}+4.0 \hat{\mathbf{j}}) \mathrm{ms}^{-1}$. It is acted upon by a constant force which produces a constant acceleration $(4.0 \hat{\mathbf{i}}+4.0 \hat{\mathbf{j}}) \mathrm{m...
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73. A ball is kept at a height $h$ above the surface of a heavy transparent sphere made of a material of refractive index $\mu$. The radius of the sphere is $R$. At $t=0$, the ball is dropped to fall normally on the sphere. Find the speed of the image formed as a function of time for $t<\sqrt{\frac{2 h}{g}} \cdot$ Cons...
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28. The $\mathrm{p} K_{\mathrm{a}}$ of acetyl salicylic acid (aspirin) is 3.5 . The pH of gastric juice in the human stomach is about $2-3$ and the pH in the small intestine is about 8 . Aspirin will be (a) un-ionised in the small intestine and in the stomach (b) completely ionised in the small intestine and in the sto...
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Why North Korea doesn't have Internet?
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5. A particle starts from the origin of coordinates at time $t=0$ and moves in the $x y$ plane with a constant acceleration $\alpha$ in the $y$-direction. Its equation of motion is $y=\beta x^{2}$. Its velocity component in the $x$-direction is (a) variable (b) $\sqrt{\frac{2 \alpha}{\beta}}$ (c) $\frac{\alpha}{2 \beta...
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Do sitting presidents endorse presidential candidates?
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16. For the differential equation $x y \frac{d y}{d x}=(x+2)(y+2)$, find the solution curve passing through the point $(1,-1)$.
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3. A charged particle always move in the direction of electric field. Is this statement true or false?
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Why is there opposition to textual criticism of Jewish and Muslim religious books?
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How do l see who viewed my videos on Instagram?
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54. The number of even divisors of the number $N=12600=2^{3} 3^{2} 5^{2} 7$ is a. 72 b. 54 c. 18 d. none of these
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3. IUPAC name of the given compound is : (A) 2-Fluoro-5-formylbenzenol (B) 4-Fluoro-3-hydroxybenzenecarbaldehyde (C) 1-Fluoro-4-formyl-2-hydroxybenzene (D) 4-Fluoro-5-hydroxybenzenecarbaldehyde ![](https://cdn.mathpix.com/cropped/2024_07_29_daa488d5da9e5f8229abg-139.jpg?height=63&width=619&top_left_y=1904&top_left...
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6. In which of the following decays the atomic number decreases? (a) $\alpha$-decay (b) $\beta^{+}$-decay (c) $\beta^{-}$-decay (d) $\gamma$-decay
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How do I write a business proposal?
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9. Two moles of ideal helium gas are in a rubber balloon at $30^{\circ} \mathrm{C}$. The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to $35^{\circ} \mathrm{C}$. The amount of heat required in raising the temperature is...
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6. Minimise $\mathrm{Z}=x+2 y$ subject to $2 x+y \geq 3, x+2 y \geq 6, x, y \geq 0$. Show that the minimum of $Z$ occurs at more than two points.
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57. The number of points, where the function $f(x)=\max$ $(|\tan x|, \cos |x|)$ is non-differentiable in the interval $(-\pi, \pi)$, is a. 4 b 6 c. 3 d. 2
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What are the reasons that black is so popular among minimalists?
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By what era was India inhabited by humans of some form?
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The Supreme Court of India Museum is located in what major city?
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64. If $\frac{\sin (x+y)}{\sin (x-y)}=\frac{a+b}{a-b}$, then $\frac{\tan x}{\tan y}$ is equal to a. $\frac{b}{a}$ h $\frac{a}{b}$ c. $a b$ d none of these
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Should I give money to beggars on the street?
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3. In an experiment for determination of refractive index of glass of a prism by $i-\delta$ plot, it was found that a ray incident at an angle $35^{\circ}$ suffers a deviation of $40^{\circ}$ and that it emerges at an angle $79^{\circ}$. In that case, which of the following is closest to the maximum possible value of t...
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What gives Congress limited power to enact statutes?
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49. CsCl crystallises in body centred cubic lattice. If ' $a$ ' is its edge length, then which of the following expressions is correct? (a) $r_{\mathrm{Cs}^{+}}+r_{\mathrm{Cl}^{-}}=3 a$ (b) $r_{\mathrm{Cs}^{+}}+r_{\mathrm{Cl}^{-}}=\frac{3 a}{2}$ (c) $r_{\mathrm{Cs}^{+}}+r_{\mathrm{Cl}^{-}}=\frac{\sqrt{3} a}{2}$ (d) $r_...
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What is the period of the Gupta Empire called?
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How many glasses are dropped by servers in a U.S. restaurant in an average year?
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Through what time period did The European renaissance last?
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I have been smoking regularly for 3 years. I recently moved to Australia and now have difficulty smoking. I have a blocked nose, irritable throat, and spitting reflex. I'd been on one smoke a day for the last two years. Now my intake is 9-10 a day. I'm 25. Smoking shouldn't be this bad for me right?
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How will the ban on 500 and 1000 rupee note stop black money?
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Can any one give suggestions which laptop should I buy at the range of 30000?
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1. Matrices $A$ and $B$ will be inverse of each other only if (A) $\mathrm{AB}=\mathrm{BA}$ (B) $\mathrm{AB}=\mathrm{BA}=0$ (C) $\mathrm{AB}=0, \mathrm{BA}=\mathrm{I}$ (D) $\mathrm{AB}=\mathrm{BA}=\mathrm{I}$
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3. In radius of a circle which is inscribed in a isosceles triangle one of whose angle is $2 \pi / 3$, is $\sqrt{3}$, then area of triangle (in sq units) is (a) $4 \sqrt{3}$ (b) $12-7 \sqrt{3}$ (c) $12+7 \sqrt{3}$ (d) None of these
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What will you do if you were in the shoes discriminated against?
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What does Greece have the largest of in the world?
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Can Trump actually force Mexico to pay for the wall?
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- Compare the two protons shown in the following compound, and identify which proton is more acidic: ![](https://cdn.mathpix.com/cropped/2024_07_06_0fe2606e7d624fec5173g-199.jpg?height=322&width=868&top_left_y=457&top_left_x=539)
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Which state is not a member of ASEAN?
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14. For the cell reaction $\mathrm{Zn}(\mathrm{s})+\mathrm{Mg}^{2+}(1 \mathrm{M})=\mathrm{Zn}^{2+}(1 \mathrm{M})+\mathrm{Mg}$, the emf has been found to be 1.60 V . $E^{0}$ of the cell is (a) -1.60 V (b) 1.60 V (c) 0.0 V (d) 0.16 V
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17. If $a, b, c$ are in G.P. then the roots of the equation $a x^{2}+b x+c$ $=0$ are in the ratio a. $\frac{1}{2}(-1+i \sqrt{3})$ b. $\frac{1}{2}(1-i \sqrt{3})$ c. $\frac{1}{2}(-1-i \sqrt{3})$ d. $\frac{1}{2}(1+i \sqrt{3})$
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Is Dynamo's (Steven Frayne) magic real?
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16. The probability that, on the examination day, the student $S_{1}$ gets the previously allotted seat $R_{1}$, and NONE of the remaining students gets the seat previously allotted to him/her is (a) $\frac{3}{40}$ (b) $\frac{1}{8}$ (c) $\frac{7}{40}$ (d) $\frac{1}{5}$.
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How can I lose or reduce thigh and hip fat fast?
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19. If $f(x)=\sin ^{2} x+\sin ^{2}\left(x+\frac{\pi}{3}\right)+\cos x \cos \left(x+\frac{\pi}{3}\right)$ and $g\left(\frac{5}{4}\right)=1$ then $(g \circ f)(x)$ is
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