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How does astrology work? What are its basics?
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What is the definition of "niche"? How is it used in a sentence?
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What are the best options for hair loss?
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Primates have a visual processing network of how many brain areas?
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7. The density of a circular disc is given as $\sigma=\rho_{0} x$ where ' $x$ ' is the distance from the centre. Its moment of inertia about an axis perpendicular to its plane and passing through its edge is: (a) $\frac{15}{16} \rho_{0} \pi R^{5}$ (b) $\frac{16}{15} \rho_{0} \pi R^{5}$ (c) $\frac{6}{5} \rho_{0} \pi R^{...
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Does the Avenger 220 have tubeless tyres?
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What was Europe's perspective o Africa containing one-fifth of the worlds population?
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34. Planck's constant has dimensions___________.
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14. If $f(x)=\left|\begin{array}{ccc}3 & 3 x & 3 x^{2}+2 a^{2} \\ 3 x & 3 x^{2}+2 a^{2} & 3 x^{3}+6 a^{2} x \\ 3 x^{2}+2 a^{2} & 3 x^{3}+6 a^{2} x & 3 x^{4}+12 a^{2} x^{2}+2 a^{4}\end{array}\right|$, then a. $f^{\prime}(x)=0$ b. $y=f(x)$ is a straight line parallel to $x$-axis c. $\int_{0}^{2} f(x) d x=32 a^{4}$ d. no...
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What was Bolshevik's main military force?
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3. $\lim _{n \rightarrow \infty} \frac{1}{n} \sum_{r=1}^{2 n} \frac{r}{\sqrt{n^{2}+r^{2}}}$ equals $(1999,2 \mathrm{M})$ (a) $1+\sqrt{5}$ (c) $-1+\sqrt{2}$ (b) $\sqrt{5}-1$ (d) $1+\sqrt{2}$ (2007, 3M)
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What is the best food you have eaten?
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9. In a $\triangle P Q R, \angle R=\frac{\pi}{2}$, if $\tan \frac{P}{2}$ and $\tan \frac{Q}{2}$ are the roots of the equation $a x^{2}+b x+c=0(a \neq 0)$, then (a) $a+b=c$ (b) $b+c=a$ (c) $a+c=b$ (d) $b=c$
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1. | Column I | Column II | | :--- | :--- | | a. The smallest integer greater than | | | $\frac{1}{\log _{3} \pi}+\frac{1}{\log _{4} \pi}$ is | p. 10 | | m Let $3^{a}=4,4^{h}=5,5^{c}=6,6^{d}=7,7^{c}=8$ and $8^{f}=9$. <br> Then the value of the product $(a b c d e f)$ is | q.3 | | c. Characteristic of the logarithm o...
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What is the Disney College Program?
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38. The number of neutrons in dipositive zinc ion with mass number 70 is (a) 34 (b) 36 (c) 38 (d) 40
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32. If the image of the point $P(1,-2,3)$ in the plane $2 x+3 y-4 z+22=0$ measured parallel to the line $\frac{x}{1}=\frac{y}{4}=\frac{z}{5}$ is $Q$, then $P Q$ is equal to (a) $3 \sqrt{5}$ (b) $2 \sqrt{42}$ (c) $\sqrt{42}$ (d) $6 \sqrt{5}$
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What did gender idenity become to be seen as?
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14. How many elements of unsaturation are implied by the molecular formula C 8H11N? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
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How can the natural history as an approach be used in social science?
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17. The position of a particle moving along the $x$ axis is given in centimeters by $x=9.75+1.50 t^{3}$, where $t$ is in seconds. Calculate (a) the average velocity during the time interval $t=2.00 \mathrm{~s}$ to $t=3.00 \mathrm{~s}$; (b) the instantaneous velocity at $t=2.00 \mathrm{~s}$; (c) the instantaneous veloci...
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7. Distance of the centre of mass of a solid uniform cone from its vertex is $z_{0}$. If the radius of its base is $R$ and its height is $h$, then $z_{0}$ is equal to (a) $\frac{3 h}{4}$ (b) $\frac{h^{2}}{4 R}$ (c) $\frac{5 h}{8}$ (d) $\frac{3 h^{2}}{8 R}$
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Corruption aids what as far as the environment is concerned?
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How do you tell a man that you don't want to have sex with him any more?
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2. A parallel beam of light is incident on the surface of a transparent hemisphere of radius $R$ and refractive index 2.0 as shown in figure. The position of the image formed by refraction at the first surface is : (a) $R / 2$ (b) $R$ (c) $2 R$ (d) $3 R$ ![](https://cdn.mathpix.com/cropped/2024_08_06_b904f241051475ef...
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14. Which one of the following is a correct statement? (a) $Q_{1}, Q_{2}, Q_{3}, \ldots$ are in an AP with common difference 5 (b) $Q_{1}, Q_{2}, Q_{3}, \ldots$ are in an AP with common difference 6 (c) $Q_{1}, Q_{2}, Q_{3}, \ldots$ are in an AP with common difference 11 (d) $Q_{1}=Q_{2}=Q_{3}=\ldots$
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Who ruled Italy after Louis the Pious?
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Who had control of the Beiyang army?
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What is unusual or different about the food and cuisine in Israel?
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Which is the best laptop to buy now?
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30. Which kind of isomerism is exhibited by octahedral $\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{Br}{ }_{2} \mathrm{Cl}$ ? $[2005 S]$ (a) Geometrical and Ionization (b) Geometrical and Optical (c) Optical and Ionization (d) Geometrical only
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5. In the following reaction sequence, $[\mathrm{C}]$ is : ![](https://dataprep-doubtsolver-pureessence.s3.amazonaws.com/984afe12-ed6a-4368-af83-c56af5cc4b5d) (a) ![](https://dataprep-doubtsolver-pureessence.s3.amazonaws.com/7dc5cf92-946b-4e44-a1fe-ab1c49ae4d19) (b) ![](https://cdn.mathpix.com/cropped/2024_05_03...
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21. A solution of sodium metal in liquid ammonia is strongly reducing due to the presence of (a) sodium atoms (b) sodium hydride (c) sodium amide (d) solvated electrons
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By what percentage did the world's per-capita gross domestic product grow by during the 20th century?
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- Example 27 A thread is wound around two discs on either sides. The pulley and the two discs have the same mass and radius. There is no slipping at the pulley and no friction at the hinge. Find out the accelerations of the two discs and the angular acceleration of the pulley.
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What are the stereotypes associated with the various MIT dorms and the students inside them?
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Europe has a large market for what?
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- Example 33.18 Electrons with de-Broglie wavelength $\lambda$ fall on the target in an X-ray tube. The cut off wavelength of the emitted $X$-rays is (JEE 2007) (a) $\lambda_{0}=\frac{2 m c \lambda^{2}}{h}$ (b) $\lambda_{0}=\frac{2 h}{m c}$ (c) $\lambda_{0}=\frac{2 m^{2} c^{2} \lambda^{3}}{h^{2}}$ (d) $\lambda_{0}=\la...
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What is the tastiest dish?
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How do I lose belly fat without exercising, it's causing me stress?
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What percentage is required in the 12th for the CLAT to get a top NLU?
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What is a summary of "Schooled" by Paul Langan?
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2. In the process $p V^{2}=$ constant, if temperature of gas is increased, then (a) change in internal energy of gas is positive (b) work done by gas is positive (c) heat is given to the gas (d) heat is taken out from the gas
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I want to build a mobile wallet app. What is the investment outlay? How much time will it take? What size and kind of development team do I need?
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63. Value of $\left|\begin{array}{lll}1+x_{1} & 1+x_{1} x & 1+x_{1} x^{2} \\ 1+x_{2} & 1+x_{2} x & 1+x_{2} x^{2} \\ 1+x_{3} & 1+x_{3} x & 1+x_{3} x^{2}\end{array}\right|$ depends upon a. $x$ only b. $x_{1}$ only c. $x_{2}$ only d. none of these
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6. The radius of a circle is increasing at the rate of $0.7 \mathrm{~cm} / \mathrm{s}$. What is the rate of increase of its circumference?
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What elements make up lipids?
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38. Two faraday of electricity is passed through a solution of $\mathrm{CuSO}_{4}$. The mass of Cu deposited at the cathode is (Atomic mass of $\mathrm{Cu}=63.5 \mathrm{u}$ ) (a) 0 g (b) 63.5 g (c) 2 g (d) 127 g (IIT 2015 Main)
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How can I see a private account on Instagram?
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What are some good circus-style albums?
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32 ![](https://dataprep-doubtsolver-pureessence.s3.amazonaws.com/dc95d893-10ed-4c1f-91cb-4fcdca8d9b3c)
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36. 10 mL of $\mathrm{H}_{2} \mathrm{O}_{2}$ weighs 10.205 g . The solution was diluted to $250 \mathrm{~mL}, 25 \mathrm{~mL}$ of which required 35.8 mL of a decinormal solution of $\mathrm{KMnO}_{4}$. Calculate the weight in grams of $\mathrm{H}_{2} \mathrm{O}_{2}$ in 100 mL and also the volume strength of the solutio...
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3. If $\mathrm{AB}_{4}$ molecule is a polar molecule, a possible geometry of $\mathrm{AB}_{4}$ is : (a) Square pyramidal (b) Tetrahedral (c) Rectangular planar (d) Square planar
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(a) Find the torque on the loop.
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Example 1:11 Prove that number $\log _{2} 7$ is an irrational number.
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24. $\overrightarrow{A B} \cdot \overrightarrow{O B}$ is equal to a. 1 b. 2 c. 3 d. 4
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9. In the circuit shown in the figure, there are two parallel plate capacitors each of capacitance $C$. The switch $S_{1}$ is pressed first to fully charge the capacitor $C_{1}$ and then released. The switch $S_{2}$ is then pressed to charge the capacitor $C_{2}$. After some time, $S_{2}$ is released and then $S_{3}$ i...
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14. Figure shows a capacitor made of two circular plates each of radius $12 \mathrm{~cm}$, and separated by $5.0 \mathrm{~cm}$. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to $0.15 \mathrm{~A}$. ![](https://cdn.mathpix.com/cropped/2024_06_1...
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1. $(3,0)$ is the point from which three normals are drawn to the parabola $y^{2}=4 x$ which meet the parabola in the points $P, Q$ and $R$. Then | Column I | Column II | | :--- | :--- | | i. Area of $\triangle P Q R$ | a. 2 | | ii. Radius of circumcircle of $\triangle P Q R$ | b. $\frac{5}{2}$ | | iii. Centroid of $...
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- Example 1.71 The line joining two points $A(2,0)$, $B(3,1)$ is rotated about $A$ in anticlockwise direction through an angle of $15^{\circ}$. Find the equation of the line in the new position. If $B$ goes to $C$ in the new position, what will be the coordinates of $C$ ?
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What are three historic bazaars in Hyderabad?
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9. After 280 days, the activity of a radioactive sample is $6000 \mathrm{dps}$. The activity reduces to $3000 \mathrm{dps}$ after another 140 days. The initial activity of the sample in dps is (JEE 2004) (a) 6000 (b) 9000 (c) 3000 (d) 24000
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12.6 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the $n=4$ level. Determine the wavelength and frequency of photon.
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4. Two wires $A$ and $B$ are made of same material. The wire $A$ has a length $l$ and diameter $r$ while the wire $B$ has a length $2 l$ and diameter $r / 2$. If the two wires are stretched by the same force, the elongation in $A$ divided by the elongation in $B$ is (a) $1 / 8$ (b) $1 / 4$ (c) 4 (d) 8 .
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![](https://dataprep-doubtsolver-pureessence.s3.amazonaws.com/5e19303b-30fd-42e3-bb65-21bec22baa20)![](https://dataprep-doubtsolver-pureessence.s3.amazonaws.com/51634bb2-0744-4f0e-95f9-55daa29e3783)
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12. Two Carnot engines $A$ and $B$ are operated in series. The first one, $A$ receives heat at $T_{1}(=600 \mathrm{~K})$ and rejects to a reservoir at temperature $T_{2}$. The second engine $B$ receives heat rejected by the first engine and in turn rejects to a heat reservoir at $T_{3}(=400 \mathrm{~K})$. Calculate the...
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About how many counts existed in the Carolingian Empire?
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30. Dil. $\mathrm{HCl}$ oxidizes metallic $\mathrm{Fe}$ to $\mathrm{Fe}^{2+}$.
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8. For a linear plot of $\log (x / m)$ versus $\log p$ in a Freundlich adsorption isotherm, which of the following statements is correct? ( $k$ and $n$ are constants) (a) Only $1 / n$ appears as the slope. (b) $\log (1 / n)$ appears as the intercept. (c) Both $k$ and $1 / n$ appear in the slope term. (d) $1 / n$ ap...
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- Example 29 An Apache helicopter of enemy is flying along the curve given by $y=x^{2}+7$. A soldier, placed at $(3,7)$, wants to shoot down the helicopter when it is nearest to him. Find the nearest distance.
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2. Assertion: A particle is rotating in a circle with constant speed as shown. Between points $A$ and $B$, ratio of average acceleration and average velocity is angular velocity of particle about point $O$. Reason : Since speed is constant, angular velocity is also constant.
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What were local villages' assemblies called in the Magadha kingdoms?
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8. If $I(m, n)=\int_{0}^{1} t^{m}(1+t)^{n} d t$, then the expression for $I(m, n)$ in terms of $I(m+1, n-1)$ is (a) $\frac{2^{n}}{m+1}-\frac{n}{m+1} I(m+1, n-1)$ (b) $\frac{n}{m+1} I(m+1, n-1)$ (c) $\frac{2^{n}}{m+1}+\frac{n}{m+1} I(m+1, n-1)$ (d) $\frac{m}{m+1} I(m+1, n-1)$
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Out of sexual attraction, sexual behovior, and sexual identity which will show more accurately the amount of homosexuals in a population?
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What is the difference between natural products and herbal products?
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What is the smartest thing you've ever heard a child say?
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Is Dawood Ibrahim in Pakistan?
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How does the Sanskrit translate Maha-Janapadas?
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What can cause problems with these scales that are used?
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What does a poke mean on Facebook?
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5.67. A system illustrated in Fig. 5.12 consists of two coherent point sources 1 and 2 located in a certain plane so that their dipole moments are oriented at right angles to that plane. The sources are separated by a distance $d$, the radiation wavelength is equal to $\lambda$. Taking into account that the oscillatio...
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(iii) In increasing order of basic strength: (a) Aniline, $p$-nitroaniline and $p$-toluidine (b) $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{NH}_{2}, \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{NHCH}_{3}, \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{2} \mathrm{NH}_{2}$.
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9. A compound formed by elements A and B crystallizes in the cubic structure where $A$ atoms are at the corners of a cube and $B$ atoms are at the face centre. Determine the simple formula of the compound. $\left(\mathrm{AB}_{3}\right)$
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What general was defeated in 1920?
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When did the Parliament vote in favor of an investigation?
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3. $\int \frac{x^{3}+3 x+2}{\left(x^{2}+1\right)^{2}(x+1)} d x$.
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In what time were there many socio-technological trends?
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4. If $\int x^{2} \cdot e^{-2 x} d x=e^{-2 x}\left(a x^{2}+b x+c\right)+d$, then the value of $|a / b c|$ is
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How many ALUs does my Intel Core i3 4005U have?
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Example 1.82 Suppose that $g(x)=1+\sqrt{x}$ and $f(g(x))$ $=3+2 \sqrt{x}+x$, then find the function $f(x)$.
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19. If $f: R \rightarrow N \cup\{0\}$, where $f$ (area of triangle joining points $P(5,0), Q(8,4)$ and $R(x, y)$ such that the angle $P R Q$ isa right $)=$ number of triangle. Then, which of the following is true? a. $f(5)=4$ c. $f(6.25)=2$ d. $f(x)$ is into h. $f(7)=0$
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If a party is represented by members from the lower house of parliament, what other position can the party leader serve?
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What process is best used when there are a number of viable manuscripts available?
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Which country has the maximum active Quora users?
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Hillary Clinton mentioned that every student (mostly Grad students) on F1 visa should be given a Green Card. How is she going to implement this?
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98. A tangent and normal is drawn at the point $P \equiv(16,16)$ of the parabola $y^{2}=16 x$ which cut the axis of the parabola at the points $A$ and $B$, respectively. If the centre of the circle through $P, A$ and $B$ is $C$, then the angle between $P C$ and the axis of $x$ is a. $\tan ^{-1} \frac{1}{2}$ b. $\tan ^{...
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15. The upper stratosphere consisting of the ozone layer protects us from the sun's radiation that falls in the wavelength region (a) $200-315 \mathrm{~nm}$ (b) $400-550 \mathrm{~nm}$ (c) $0.8-1.5 \mathrm{~nm}$ (d) $600-750 \mathrm{~nm}$
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6. If at $t=0$, a travelling wave pulse on a string is described by the function. $$ y=\frac{6}{x^{2}+3} $$ What will be the wave function representing the pulse at time $t$, if the pulse is propagating along positive $x$-axis with speed $4 \mathrm{~m} / \mathrm{s}$ ? (a) $y=\frac{6}{(x+4 t)^{2}+3}$ (b) $y=\frac{6}...
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1. Which of the following parameters is the same for molecules of all gases at a given temperature? (a) Mass (b) Speed (c) Momentum (d) Kinetic energy.
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What are some examples of singular nouns?
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