Question stringlengths 2 3k | label int64 0 1 |
|---|---|
What was the capital of Golkonda in the mid 12th century? | 0 |
18. In the given figure $\mu_{1}>\mu_{2}>\mu_{3}$ then the angle made by the light with the normal in medium of refractive index $\mu_{3}$ is :
(a) $i$
(b) $\sin ^{-1}\left(\frac{\sin i}{\mu_{1}}\right)$
(c) $\sin ^{-1}\left(\frac{\sin i}{\mu_{2}}\right)$
(d) $\sin ^{-1}\left(\frac{\sin i}{\mu_{3}}\right)$
 $3 v$
(b) $v$
(c) $1.5 v$
(d) zero | 1 |
What societal evolution helped to develop drama and satire by providing a ready audience? | 0 |
1. Let $P$ be the point of intersection of the common tangents to the parabola $y^{2}=12 x$ and the hyperbola $8 x^{2}-y^{2}=8$. If $S$ and $S^{\prime}$ denotes the foci of the hyperbola where $S$ lies on the positive $X$-axis then $P$ divides $S S^{\prime}$ in a ratio
(2019 Main, 12 April I)
(a) $13: 11$
(b) $14: 13$... | 1 |
- 2 In Fig. 8-29, a single frictionless roller-coaster car of mass $m=825 \mathrm{~kg}$ tops the first hill with speed $v_{0}=17.0 \mathrm{~m} / \mathrm{s}$ at height $h=42.0 \mathrm{~m}$. How much work does the gravitational force do on the car from that point to (a) point $A$, (b) point $B$, and (c) point $C$ ? If th... | 1 |
How satisfied are SBI IT officers with their jobs? | 0 |
How will you describe your journey on Quora so far? | 0 |
Game of Thrones: Why did Shae betray Tyrion at his trial? | 0 |
I have done my engineering and working in a BPO and I want to pursue LAW now? | 0 |
How do I find my old Gmail account back? | 0 |
14. Let $\omega$ be the complex number $\cos \frac{2 \pi}{3}+i \sin \frac{2 \pi}{3}$. Then the number of distinct complex number $z$ satisfying
$$
\left|\begin{array}{ccc}
z+1 & \omega & \omega^{2} \\
\omega & z+\omega^{2} & 1 \\
\omega^{2} & 1 & z+\omega
\end{array}\right|=0 \text { is equal to } \ldots .
$$
(2010) | 1 |
When did the first Rajput kingdoms emerge in India? | 0 |
How can I recover a deleted Snapchat account? | 0 |
43. Which one of the following has the smallest heat of hydrogenation per mole?
(a) 1-butene
(b) trans-2-butene
(c) cis -2-butene
(d) 1,3-butadiene | 1 |
What are some cool facts about FC Barcelona? | 0 |
(iv) Friedel-Craft's acetylation of anisole. | 1 |
24. Convince yourself that parts (a), (b) and (c) of figure (31-E13) are identical. Find the capacitance between the points $A$ and $B$ of the assembly.
(a)
 has/have the same energy lists:
1. $n=4, l=2, m_{1}=-2, m_{\mathrm{s}}=-1 / 2$
2. $n=3, l=2, m_{1}=1, m_{\mathrm{s}}=+1 / 2$
3. $n=4, l=1, m_{1}=0, m_{\mathrm{s}}=+1 / 2$
4. $n=3, l... | 1 |
7. Action and reaction
(a) act on two different objects
(b) have equal magnitude
(c) have opposite directions
(d) have resultant zero. | 1 |
What happened when Nicholas II was removed from power? | 0 |
14. Let $z_{1}, z_{2}, z_{3}$ be distinct complex numbers such that $\left|z_{1}\right|=\left|z_{2}\right|=\left|z_{3}\right|=5$ then find the minimum value of $\frac{1}{\left|z_{1}-z_{2}\right|\left|z_{1}-z_{3}\right|}+\frac{1}{\left|z_{2}-z_{1}\right|\left|z_{2}-z_{3}\right|}+\frac{1}{\left|z_{3}-z_{1}\right|\left|z_... | 1 |
Who is the best bowler in indian cricket at present? | 0 |
Do you believe in astrology and why? | 0 |
25. If the shortest $\lambda$ of hydrogen atom in Lyman series is $x$, the longest $\lambda$ in Balmer series of $\mathrm{He}^{+}$is
(a) $\frac{x}{4}$
(b) $\frac{5 x}{9}$
(c) $\frac{6 x}{5}$
(d) $\frac{9 x}{5}$ | 1 |
How can I make an extra $100 per week? | 0 |
How can I improve my beard? | 0 |
What is the favored influence as to the cause of sexual orientation? | 0 |
19. Which of the following would you expect to be aromatic?
(A) I
(B) II
(C) III
(D) IV
(E) None of these | 1 |
15. Equation $1+x^{2}+2 x \sin \left(\cos ^{-1} y\right)=0$ is satisfied by
a. exactly one value of $x$
b. exactly two values of $x$
c. exactly one value of $y$
d. exactly two values of $y$ | 1 |
44. Assertion : Addition of bromine to trans-2-butene yields meso-2,3-dibromobutane.
Reason : Bromine addition to an alkene is an electrophilic addition. | 1 |
How do you suggest someone like something on Facebook? | 0 |
12. If $\frac{d y}{d x}+\frac{3}{\cos ^{2} x} y=\frac{1}{\cos ^{2} x}, x \in \frac{\pi}{3}, \frac{\pi}{3}$ and $y \frac{\pi}{4}=\frac{4}{3}$, then $y-\frac{\pi}{4}$ equals
(a) $\frac{1}{3}+e^{6}$
(b) $-\frac{4}{3}$
(c) $\frac{1}{3}+e^{3}$
(d) $\frac{1}{3}$ | 1 |
How do I read text messages on someone's phone from mine? | 0 |
How can I specifically improve my English? | 0 |
3. A string of length $1 \mathrm{~m}$ and mass $5 \mathrm{~g}$ is fixed at both ends. The tension in the string is $8.0 \mathrm{~N}$. The string is set into vibration using an external vibrator of frequency $100 \mathrm{~Hz}$. The separation between successive nodes on the string is close to
(a) $16.6 \mathrm{~cm}$
(... | 1 |
5. Tangents are drawn to the hyperbola $4 x^{2}-y^{2}=36$ at the points $P$ and $Q$. If these tangents intersect at the point $T(0,3)$, then the area (in sq units) of $\triangle P T Q$ is
(a) $45 \sqrt{5}$
(b) $54 \sqrt{3}$
(c) $60 \sqrt{3}$
(d) $36 \sqrt{5}$ | 1 |
16. The first ionisation potential of $\mathrm{Na}$ is $5.1 \mathrm{eV}$. The value of electron gain enthalpy of $\mathrm{Na}^{+}$will be
(a) $-2.55 \mathrm{eV}$
(b) $-5.1 \mathrm{eV}$
(c) $-10.2 \mathrm{eV}$
(d) $+2.55 \mathrm{eV}$ | 1 |
2. 100 g of argon is allowed to expand from a pressure of 10 atm to $0 \cdot 1 \mathrm{~atm}$ at $100^{\circ} \mathrm{C}$. Calculate the heat which is absorbed, assuming ideal behaviour. | 1 |
4. Which of the following compounds is a constituent of the polymer $\mathrm{fHN}-\stackrel{\mathrm{O}}{\mathrm{C}}-\mathrm{NH}-\mathrm{CH}_{2} \mathrm{f}_{n}^{?} ?$
(a) N-Methyl urea
(b) Formaldehyde
(c) Methylamine
(d) Ammonia | 1 |
What is Greece set to start exploring the Ionian Sea for? | 0 |
I got a package of 3.3 lakh per annum. What is my monthly salary after all the calculations? | 0 |
R&B guide lines in valuing the building? | 0 |
7. For which of the following reactions, $\Delta \mathrm{H}$ is equal to $\Delta \mathrm{U}$ ?
(a) $\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{NH}_{3}(\mathrm{~g})$
(b) $2 \mathrm{HI}(\mathrm{g}) \rightarrow \mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g})$
(c) $2 \mathrm... | 1 |
Is there a place in India like an ashram where one can go when they're dealing with loss and heavy depression? | 0 |
What are some ideas to write a fairy tale? | 0 |
What things do Chinese people find strange about the West? | 0 |
What are the functions of a system integration testing? | 0 |
(iv) 1-Methoxyethane | 1 |
21. What is the advantage of this system?
(a) No friction hence no power consumption
(b) No electric power is used
(c) Gravitation force is zero
(d) Electrostatic force draws the train | 1 |
6. If the initial number of moles/ L of $\mathrm{N}_2, \mathrm{H}_2$ and $\mathrm{NH}_3$ are 1,2 and 3 respectively, their concentrations at equilibrium will be
\begin{tabular}{|c|c|c|}
\hline $\mathrm{N}_2$ & $3 \mathrm{H}_2 \rightleftharpoons$ & $2 \mathrm{NH}_3$ \\
\hline (a) $(1-x)$ & $(2-3 x)$ & $2 x$ \\
\hline (b... | 1 |
What percentage of children in Hyderabad are working hazardous jobs? | 0 |
6. Let $P$ be a point on the ellipse $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1,0<b<a$. Let the line parallel to $y$-axis passing through $P$ meet the circle $x^{2}+y^{2}=a^{2}$ at the point $Q$ such that $P$ and $Q$ are on the same side of $x$-axis. For two positive real numbers $r$ and $s$, find the locus of the poin... | 1 |
What do you mean by magnetic fluids? | 0 |
What nations are sometimes included in the scope of southern Europe? | 0 |
Why are film actors so highly paid whereas scientists are paid relatively quite little? | 0 |
16. If the line $3 x+4 y-24=0$ intersects the $X$-axis at the point $A$ and the $Y$-axis at the point $B$, then the incentre of the triangle $O A B$, where $O$ is the origin, is
(a) $(4,3)$
(b) $(3,4)$
(c) $(4,4)$
(d) $(2,2)$ | 1 |
18. A parallel plate capacitor of capacitance $90 \mathrm{pF}$ is connected to a battery of emf $20 \mathrm{~V}$. If a dielectric material of dielectric constant $K=5 / 3$ is inserted between the plates, the magnitude of the induced charge will be
(2018 Main)
(a) $0.9 \mu \mathrm{C}$
(b) $1.2 \mu \mathrm{C}$
(c) $0.3 ... | 1 |
Are Chetan Bhagat novels really that bad? | 0 |
How do you explain the existence of fourth dimension? | 0 |
Which branch I should choose in MBA, and what should be my goal (I expect 85-90 percentile in CAT 2016)? | 0 |
To what type of states did the former Gupta Empire revert? | 0 |
20. Energy of an electron is given by $\mathrm{E}=-2.178 \times 10^{-18} \mathrm{~J}\left(\frac{Z^{2}}{n^{2}}\right)$.
Wavelength of light required to excite an electron in an hydrogen atom from level $n=1$ to $n=2$ will be:
$\left(h=6.62 \times 10^{-34} \mathrm{Js}\right.$ and $\left.\mathrm{c}=3.0 \times 10^{8} ... | 1 |
28. The reflection of the point $\vec{a}$ in the plane $\vec{r} \cdot \dot{\vec{n}}=q$ is
a. $\vec{a}+\frac{(\vec{q}-\vec{a} \cdot \vec{n})}{|\vec{n}|}$,
b. $\vec{a}+2\left(\frac{(\vec{q}-\vec{a} \cdot \vec{n})}{|\vec{n}|^{2}}\right) \vec{n}$
c. $\vec{a}+\frac{2(\vec{q}+\vec{a} \cdot \vec{n})}{|\vec{n}|} \vec{n}$
d. no... | 1 |
25. In which case would the particle move in a straight line along the negative direction of $Y$-axis (i.e. move along $-\hat{y}$ )?
(a) (IV) (ii) (S)
(b) (II) (iii) (Q)
(c) (III), (ii) (R
(d) (III) (ii) (P) | 1 |
Can we use Jio sim in 3G phone? | 0 |
What is a new law given at the OFR of the NARA? | 0 |
38. Which of the following is not true about $f(x)$ ?
a. $f(x)$ has two points of extremum
b. $f(x)$ has only one asymptote
c. $f(x)$ is differentiable for all $x \in R$
d. None of these | 1 |
43. A dilute solution of KCl was placed between two platinum electrodes 10 cm apart, across which a potential of 6 volts was applied. How far would the $\mathrm{K}^{+}$ion move in 2 hours at $25^{\circ} \mathrm{C}$ ? Ionic conductance of $\mathrm{K}^{+}$ion at infinite dilution at $25^{\circ} \mathrm{C}$ is 73.52 mho $... | 1 |
Compare the life of a marine engineer at tolani maritime institute to that of a IITian graduating from CSE dept. in old IIT? | 0 |
23. Another student now removes both the medium and rearrange them such that medium of refractive index $\mu_{1}$ is kept in a region $-\frac{D}{8} \leq x \leq 0$ and $0<y<\infty$ whereas medium of refractive index $\mu_{2}>\mu_{1}$ is kept in a region $-\frac{D}{8} \leq x \leq 0$ and $-\infty<y \leq 0$. He also kept a... | 1 |
How do fungi communicate with insects? | 0 |
(iv) $\mathrm{Fe}^{3+}(\mathrm{aq})+3 \mathrm{OH}^{-}(\mathrm{aq}) \rightleftharpoons \mathrm{Fe}(\mathrm{OH})_{3}(\mathrm{~s})$ | 1 |
11. Statement 1: $f(x)=\cos \left(x^{2}-\tan x\right)$ is a non-periodic function.
Statement 2: $x^{2}-\tan x$ is a non-periodic function. | 1 |
14. If $f(x)=\left\{\begin{array}{l}x+2, x<0 \\ -x^{2}-2,0 \leq x<1 \text {, then the number of points of } \\ x, x \geq 1\end{array}\right.$ discontinuity of $|f(x)|$ is.
a. 1
b. 2
c. 3
d. None of these | 1 |
7. Let $f: R \rightarrow R$ be a function defined by $f(x)=\operatorname{mix}\left\{x, x^{3}\right\}$. The set of all point where $f(x)$ is NOT differentiable is
a. $\{-1,1\}$
b. $\{-1,0\}$
c. $\{0,1\}$
d. $\{-1,0,1\}$ | 1 |
64. If $f(x)$ is an even function and satisfies the relation $x^{2} f(x)$ $-2 f\left(\frac{1}{x}\right)=g(x)$ where $g(x)$ is an odd function then $f(5)$ equals
a. 0
b. $\frac{50}{75}$
c. $\frac{49}{75}$
d. None of these | 1 |
4 A heat source at $T=10^{3} \mathrm{~K}$ is connected to another heat reservoir at $T=10^{2} \mathrm{~K}$ by a copper slab which is $1 \mathrm{~m}$ thick. Given that the thermal conductivity of copper is $0.1 \mathrm{WK}^{-1} \mathrm{~m}^{-1}$, the energy flux through it in the steady state is
(a) $90 \mathrm{Wm}^{-2}... | 1 |
Can HGH increase my height? | 0 |
Is dwelling on the past a form of pleasure? | 0 |
17. Now consider the partition to be free to move without friction so that the pressure of gases in both compartments is the same. Then total work done by the gases till the time they achieve equilibrium will be
(2014 Adv.)
(a) $250 R$
(b) $200 R$
(c) $100 R$
(d) $-100 R$ | 1 |
(c) frequency | 1 |
I am currently doing my MBBS in india and interested to do PG in UK. Is giving PLAB exam compulsory? | 0 |
4. A ball of mass $1 \mathrm{~kg}$ hangs in equilibrium from two strings $O A$ and $O B$ as shown in figure. What are the tensions in strings $O A$ and $O B$ ? (Take $g=10 \mathrm{~m} / \mathrm{s}^{2}$ ).
 nickel
(b) zinc
(c) tin
(d) gallium | 1 |
Which fictional heroes do you think have most shaped the imagination and character of your country's people, both now and in the past? | 0 |
11. A current carrying infinitely long wire is kept along the diameter of a circular wire loop, without touching it. The correct statement(s) is(are)
(a) The emf induced in the loop is zero if the current is constant.
(b) The emf induced in the loop is finite if the current is constant
(c) The emf induced in the lo... | 1 |
Substandard what is often one way for corruption to enter the construction field? | 0 |
5. A, B and C are three biomolecules. The results of the tests performed on them are given below:
\begin{tabular}{cc}
Molisch's Test & Barfoed Test Biuret Test \\
\hline A Positive & Negative
\end{tabular}
$ \qquad $
\begin{tabular}{clc}
B Positive & Positive & Negative \\
\hline C Negative & Negative & Positive
\... | 1 |
Who did the Manchus make an Ally with to seize control of Beijing? | 0 |
50. Reagent(s) which can be used to bring about the following transformation is (are)
(a) $\mathrm{LiAlH}_{4}$ in $\left(\mathrm{C}_{2} \mathrm{H}_{5}\right)_{2} \mathrm{O}$
(b) $\mathr... | 1 |
How do I forget someone whom l love so much? | 0 |
How do I insert a array values into MySQL database using Java? | 0 |
How do I write a compiler? | 0 |
18. How many atoms do mercury vapour molecules consist of if the density of mercury vapour relative to air is $6.92 ?(\mathrm{Hg}=200)$. The average mass of air is $29 \mathrm{~g} / \mathrm{mole}$.
(One) | 1 |
4. Which of the following indicated $\mathrm{H}$-atom is most acidic in nature.
(A) $\mathrm{Ha}$
(B) $\mathrm{Hb}$
(C) $\mathrm{Hc}$
(D) $\mathrm{Hd}$ | 1 |
17. The quantum numbers $+1 / 2$ and $-1 / 2$ for the electron spin represent
(a) rotation of the electron in clockwise and anticlockwise direction respectively
(b) rotation of the electron in anticlockwise and clockwise direction respectively
(c) magnetic moment of the electron pointing up and down respectively
... | 1 |
20. A rectangular block of size $(b \times h)$ moving with velocity $v_{o}$ enters on a rough surface where the coefficient of friction is $\mu$ as shown in figure. Identify the correct statement.
![](https://cdn.mathpix.com/cropped/2024_06_07_71411c50f2a5b87590d2g-200.jpg?height=132&width=263&top_left_y=327&top_left_... | 1 |
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