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67. The tangent to a suitable conic (Column 1) at $[\sqrt{3}, \frac{1}{2}]$ is found to be $\sqrt{3} x+2 y=4$, then which of the following options is the only CORRECT combination?
(a) (IV) (iv) (S)
(c) (IV) (iii) (S)
(b) (II) (iv) (R )
(d) (II) (iii) (R ) | 1 |
11. Decomposition of $\mathrm{X}$ exhibits a rate constant of $0.05 \mu \mathrm{g} /$ year. How many years are required for the decomposition of $5 \mu \mathrm{g}$ of $\mathrm{X}$ into 2.5 $\mu \mathrm{g} ?$
(a) 50
(b) 25
(c) 20
(d) 40 | 1 |
What is the difference between a criteria and a criterion? | 0 |
3. The permanent magnetic moment of the atoms of a material is zero. The material
(a) must be paramagnetic
(b) must be diamagnetic
(c) must be ferromagnetic
(d) may be paramagnetic. | 1 |
1. X-ray beam can be deflected
(a) by an electric field
(b) by a magnetic field
(c) by an electric field as well as by a magnetic field
(d) neither by an electric field nor by a magnetic field. | 1 |
121. A man alternately tosses a coin and throws a die beginning with the coin. The probability that he gets a head in the coin before he gets a 5 or 6 in the dice is
a. $3 / 4$
b. $1 / 2$
c. $1 / 3$
d. none of these | 1 |
(ii)
 | 1 |
Am I really smart? | 0 |
8. Three lines $p x+q y+r=0, q x+r y+p=0$ and
$r x+p y+q=0$ are concurrent, if
$(1985,2 \mathrm{M})$
(a) $p+q+r=0$
(b) $p^{2}+q^{2}+r^{2}=p r+r q$
(c) $p^{3}+q^{3}+r^{3}=3 p q r$
(d) None of these | 1 |
Is GATE tougher than JEE? | 0 |
7. A magnetic needle of magnetic moment $6.7 \times 10^{-2} \mathbf{A m}^{2}$ and moment of inertia $7.5 \times 10^{-6} \mathrm{~kg} \mathrm{~m}^{2}$ is performing simple harmonic oscillations in a magnetic field of $0.01 \mathrm{~T}$. Time taken for 10 complete oscillations is
(2017 Main)
(a) $8.89 \mathrm{~s}$
(b) $... | 1 |
How many people were in the Dominions' armies? | 0 |
Bollywood: Which is currently the worst Bollywood movie? | 0 |
1. Let $P Q R$ be a right angled isosceles triangle, right angled at $P(2,1)$. If the equation of the line $Q R$ is $2 x+y=3$, then the equation representing the pair of lines $P Q$ and $P R$ is
(a) $3 x^{2}-3 y^{2}+8 x y+20 x+10 y+25=0$
(b) $3 x^{2}-3 y^{2}+8 x y-20 x-10 y+25=0$
(c) $3 x^{2}-3 y^{2}+8 x y+10 x+15 y+2... | 1 |
What race was the majority in Palestine in the 1940s? | 0 |
What Lies did Hillary Clinton tell? | 0 |
21. 5 moles of a gas in a closed vessel was heated from 300 K to 600 K . The pressure of the gas doubled. The number of moles of the gas will be
(a) 5
(b) 2.5
(c) 10
(d) 20 | 1 |
How can I upload an image in facebook? | 0 |
What non-local goods have archaeologists typically found in Britain of this era? | 0 |
What is a suitable inpatient drug and alcohol rehab center near Treutlen County GA? | 0 |
79 An object hangs from a spring balance. The balance registers 30 N in air, 20 N when this object is immersed in water, and 24 N when the object is immersed in another liquid of unknown density. What is the density of that other liquid? | 1 |
14. The condition on a and $b$, such that the portion of the line $a x+b y-1=0$, intercepted between the lines $a x+y=0$ and $x+b y=0$, subtends a right angle at the origin is
a. $a=b$
b. $a+b=0$
c. $a=2 b$
d. $2 a=b$ | 1 |
2. The transfer characteristic curve of a transistor, having input and output resistance $100 \Omega$ and $100 \mathrm{k} \Omega$ respectively, is shown in the figure. The voltage and power gain, are respectively,
 What is the magnitude of the orbital angular momentum in a state with $\ell=3$ ? (b) What is the magnitude of its largest projection on an imposed $z$ axis? | 1 |
44. The compound $\mathbf{Y}$ is
(a) $\mathrm{MgCl}_{2}$
(b) $\mathrm{FeCl}_{2}$
(c) $\mathrm{FeCl}_{3}$
(d) $\mathrm{ZnCl}_{2}$ | 1 |
What cults weakened Buddhism in India? | 0 |
1. Which polymer has 'chiral' monomer(s)?
[Main Jan. 09, 2020 (II)]
(a) Neoprene
(b) Buna-N
(c) Nylon 6,6
(d) PHBV | 1 |
Illustration 3.54 Find the point of intersection of line passing through $(0,0,1)$ and intersecting lines $x+2 y+z=1,-x+y-2 z=2$ and $x+y=2, x+z=2$ with the $x y$ plane. | 1 |
3. Assertion : A frame moving in a circle with constant speed can never be
an inertial frame.
Reason : It has a constant acceleration. | 1 |
(e) a high-speed electron in space far from all material objects, and free of electric and magnetic fields. | 1 |
How can I learn to program in C#? | 0 |
What are some tips about buying a used car from Enterprise Rent A Car? | 0 |
8. A circular disc $D_{1}$ of mass $M$ and radius $R$ has two identical discs $D_{2}$ and $D_{3}$ of the same mass $M$ and radius $R$ attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis
^{2}=8(x-2)$. A circle cuts the above parabola in points $P, Q, R$ and $S$. Then this circle always passes through the point
a. $(2,3)$
b. $(3,2)$
c. $(0,3)$
d. $(2,0)$ | 1 |
23. The value of the integral $\int_{0}^{1} \sqrt{\frac{1-x}{1+x}} d x$ is
a. $\frac{\pi}{2}+1$
b. $\frac{\pi}{2}-1$
c. -1
d. 1 | 1 |
2. Which of the following compounds can be prepared in good yield by Gabriel phthalimide synthesis?
(a)
(b) $$ \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{NHCH}_3$$
(c)
... | 1 |
80. If $x y=2(x+y), x \leq y$ and $x, y \in N$, then the number of solutions of the equation are
a. two
b. three
c. no solution
d. infinitely many solutions | 1 |
How do I remove log lines from android? | 0 |
25. Equal weights of methane and hydrogen are mixed in an empty container at $25^{\circ} \mathrm{C}$. The fraction of the total pressure exerted by hydrogen is :
(a) $\frac{1}{2}$
(b) $\frac{8}{9}$
(c) $\frac{1}{9}$
(d) $\frac{16}{17}$ | 1 |
Is it possible to get rid of search suggestions on Instagram? | 0 |
30. If $\left|a x^2+b x+c\right| \leq 1$ for all $x$ in $[0,1]$, then
a. $|a| \leq 8$
b. $|b|>8$
c. $|c| \leq 1$
d. $|a|+|b|+|c| \leq 17$ | 1 |
33. Two parallel light rays pass through an isosceles prism of refractive index $\sqrt{3 / 2}$ as shown in figure. The angle between the two emergent rays is
(a) $15^{\circ}$
(b) $30^{\circ... | 1 |
What format did adult comics begin to be published in? | 0 |
12. Two blocks $A$ and $B$ of masses $m$ and $M$ are placed in a platform as shown in the figure. The friction coefficient between $A$ and $B$ is $\mu$ but there is no friction between $B$ and the platform. The whole arrangement is placed inside an elevator which is coming down with an acceleration $f(f<g)$. What maxim... | 1 |
Does Bill Clinton regret calling Donald Trump to persuade him into running as a Republican for U.S. President? | 0 |
What are the biggest plot holes and errors in Harry Potter? | 0 |
5. An electromagnetic wave going through vacuum is described by
$$
E=E_{0} \sin (k x-\omega t) ; B=B_{0} \sin (k x-\omega t)
$$
Then
(a) $E_{0} k=B_{0} \omega$
(b) $E_{0} B_{0}=\omega k$
(c) $E_{0} \omega=B_{0} k$
(d) none of these. | 1 |
Why is the purpose of life to "be happy?" | 0 |
What caused the revolution against the Qing dynasty? | 0 |
11. The aerosol is a kind of colloid in which:
(a) solid is dispersed in gas
(b) gas is dispersed in solid
(c) gas is dispersed in liquid
(d) liquid is dispersed in water | 1 |
46. A solution of $0.1 \mathrm{M}$ weak base (B) is titrated with $0.1 \mathrm{M}$ of a strong acid (HA). The variation of $\mathrm{pH}$ of the solution with the volume of HA added is shown in the figure below. What is the $\mathrm{p} K_{\mathrm{b}}$ of the base? The neutralization reaction is given by $\mathrm{B}+\mat... | 1 |
3. Area of ellipse $(E)$ is
a. $\frac{65 \pi}{4}$
b. $\frac{64 \pi}{5}$
c. $64 \pi$
d. $65 \pi$ | 1 |
From what French word is emotion derived? | 0 |
74. A particle is moving at a constant speed $V$ from a large distance towards a concave mirror of radius $R$ along its principal axis. Find the speed of the image formed by the mirror as a function of the distance $x$ of the particle from the mirror. | 1 |
35. The correct order of radii is
(a) N $<$ Be $<$ B
(b) F $^{-}<\mathrm{O}^{2-}<\mathrm{N}^{3-}$
(c) $\mathrm{Na}<\mathrm{Li}<\mathrm{K}$
(d) $\mathrm{Fe}^{3+}<\mathrm{Fe}^{2+}<\mathrm{Fe}^{4+}$ | 1 |
What is the best option for SSC coaching in New Delhi? | 0 |
13. The volume of a gas at $0^{\circ} \mathrm{C}$ and 700 mm pressure is 760 cc . The number of molecules present in this volume is
(a) $1.88 \times 10^{22}$
(b) $6.022 \times 10^{23}$
(c) $18.8 \times 10^{23}$
(d) $18.8 \times 10^{22}$ | 1 |
16. Given $A=\sin ^{2} \theta+\cos ^{4} \theta$, then for all real values of $\theta$
$(1980,1 \mathrm{M})$
(a) $1 \leq A \leq 2$
(b) $\frac{3}{4} \leq A \leq 1$
(c) $\frac{13}{16} \leq A \leq 1$
(d) $\frac{3}{4} \leq A \leq \frac{13}{16}$ | 1 |
What were the lawmakers beginning to drown in? | 0 |
13. The value of the definite integral $\int_{0}^{1}\left(1+e^{-x^{2}}\right) d x$ is
(a) -1
(b) 2
(c) $1+e^{-1}$
(d) None of the above | 1 |
12. Initially, the capacitor was uncharged. Now, switch $S_{1}$ is closed and $S_{2}$ is kept open. If time constant of this circuit is $\tau$, then
(a) after time interval $\tau$ charge on the capacitor is $\mathrm{CV} / 2$
(b) after time interval $2 \tau$ charge on the capacitor is $C V\left(1-e^{-2}\right)$
(c)... | 1 |
What will a petition do/lead to in terms of fighting the new U.S. laws established without consent of the people? Are there any alternatives? | 0 |
Can erectile dysfunction be cured? | 0 |
8. A disc of radius $R$ and mass $m$ is projected on to a horizontal floor with a backward spin such that its centre of mass speed is $v_{0}$ and angular velocity is $\omega_{0}$. What must be the minimum value of $\omega_{0}$ so that the disc eventually returns back? | 1 |
2. A charged particle enters into a gravity free space occupied by an electric field E and magnetic field $\mathbf{B}$ and it comes out without any change in velocity. Then, the possible cases may be
(a) $\mathbf{E}=0$ and $\mathbf{B} \neq 0$
(b) $\mathbf{E} \neq 0$ and $\mathbf{B}=0$
(c) $\mathbf{E} \neq 0$ and $\math... | 1 |
25. How many moles of electrons weigh one kilogram?
(a) $6.022 \times 10^{23}$
(b) $\frac{1}{9.108} \times 10^{31}$
(c) $\frac{6.022}{9.108} \times 10^{54}$
(d) $\frac{1}{9.108 \times 6.022} \times 10^8$ | 1 |
10. If $f(x)=\left(\sin ^{-1} x\right)^{2}+\left(\cos ^{-1} x\right)^{2}$, then.
a. $f(x)$ has the least value of $\frac{\pi^{2}}{8}$
b. $f(x)$ has the greatest value of $\frac{5 \pi^{2}}{8}$
c. $f(x)$ has the least value of $\frac{\pi^{2}}{16}$
d $f(x)$ has the greatest value of $\frac{5 \pi^{2}}{4}$ | 1 |
13. Choose the incorrect formula out of the four compounds for an element $\mathrm{X}$ below :
$\begin{array}{lll}\text { (a) } \mathrm{X}_{2} \mathrm{O}_{3} & \text { (b) } \mathrm{X}_{2} \mathrm{Cl}_{3} & \text { (c) } \mathrm{X}_{2}\left(\mathrm{SO}_{4}\right)_{3} \text { (d) } \mathrm{XPO}_{4}\end{array}$ | 1 |
During what time period did the Qing dynasty rule? | 0 |
How can I get into a start-up software company? | 0 |
63. What is the pH of a 0.10 M solution of ethylenediaminetetraacetic acid (edta). $K_{\mathrm{a}_1}=1 \times 10^{-2}, K_{\mathrm{a}_2}=2.1 \times 10^{-3}, K_{\mathrm{a}_3}=6.9 \times 10^{-7}$ and $K_{\mathrm{a}_4}=5.5 \times 10^{-11}$.
[Hint: The only two major contributions to the concentration of $\mathrm{H}^{+}$are... | 1 |
Until what century did the Kabul Shahi dynasties rule the Kabul Valley? | 0 |
8. In a hydrogen like atom, when an electron jumps from the $M$-shell to the $L$-shell, the wavelength of emitted radiation is $\lambda$. If an electron jumps from $N$-shell to the $L$-shell, the wavelength of emitted radiation will be
(a) $\frac{27}{20} \lambda$
(b) $\frac{25}{16} \lambda$
(c) $\frac{20}{27} \la... | 1 |
1. For an enclosure maintained at $2000 \mathrm{~K}$, the maximum radiation occurs at wavelength $\lambda_{m}$. If the temperature is raised to $3000 \mathrm{~K}$, the peak will shift to
(a) $0.5 \lambda_{m}$
(b) $\lambda_{m}$
(c) $\frac{2}{3} \lambda_{m}$
(d) $\frac{3}{2} \lambda_{m}$ | 1 |
What is the salary after completing MBA HR? | 0 |
Along with manors, where did peasants in the High Middle Ages often live? | 0 |
What action did the movements combine to produce? | 0 |
59. If $\cos \alpha+\cos \beta=0=\sin \alpha+\sin \beta$, then $\cos 2 \alpha+\cos 2 \beta$ is equal to
a. $-2 \sin (\alpha+\beta)$.
$\mathbf{b}-2 \cos (\alpha+\beta)$
c. $2 \sin (\alpha+\beta)$
d $2 \cos (\alpha+\beta)$ | 1 |
How many chests of opium did China confiscate in 1839? | 0 |
Ex. 9. Calculate the volume of 20 g of hydrogen gas at NTP. | 1 |
What must a police officer recite to a suspect upon arrest/ | 0 |
12. The volume strength of $1.5 \mathrm{~N} \mathrm{H}_{2} \mathrm{O}_{2}$ solution is
(a) 4.8
(b) 8.4
(c) 3.0
(d) 8.0 | 1 |
7. In the figure shown below reactant $\mathrm{A}$ (represented by square) is in equilibrium with product B (represented by circle). The equilibrium constant is:
(a) 4
(b) 8
(c) 1
(d) 2 | 1 |
90. $\int_{0}^{x} \frac{2^{t}}{2^{[t]}} d t$, where [.] denotes the greatest integer function, and $x \in R^{+}$, is equal to
a. $\frac{1}{\ln 2}\left([x]+2^{\{x\}}-1\right)$
b. $\frac{1}{\ln 2}\left([x]+2^{\{x\}}\right)$
c. $\frac{1}{\ln 2}\left([x]-2^{\{x\}}\right)$
d. $\frac{1}{\ln 2}\left([x]+2^{\{x\}}+1\right)$ | 1 |
When was the Treaty of Versailles signed? | 0 |
4. A source of sound of frequency $600 \mathrm{~Hz}$ is placed inside water. The speed of sound in water is $1500 \mathrm{~m} / \mathrm{s}$ and in air it is $300 \mathrm{~m} / \mathrm{s}$. The frequency of sound recorded by an observer who is standing in air is
(a) $200 \mathrm{~Hz}$
(b) $3000 \mathrm{~Hz}$
(c) $120 \m... | 1 |
34. Let $P$ be any point on a directrix of an ellipse of eccentricity $e$. $S$ be the corresponding focus and $C$ the centre of the ellipse. The line $P C$ meets the ellipse at $A$. The angle between $P S$ and tangent at $A$ is $\alpha$, then $\alpha$ is equal to
a. $\tan ^{-1} e$
b. $\frac{\pi}{2}$
c. $\tan ^{-1}\left... | 1 |
12.8 The radius of the innermost electron orbit of a hydrogen atom is $5.3 \times 10^{-11} \mathrm{~m}$. What are the radii of the $n=2$ and $n=3$ orbits? | 1 |
3. A speech signal of $3 \mathrm{kHz}$ is used to modulate a carrier signal of frequency $1 \mathrm{MHz}$, using amplitude modulation. The frequencies of the side bands will be
(a) $1.003 \mathrm{MHz}$ and $2.997 \mathrm{MHz}$
(b) $3001 \mathrm{kHz}$ and $2997 \mathrm{kHz}$
(c) $1003 \mathrm{kHz}$ and $1000 \mathrm{kHz... | 1 |
3. Displacement of the rod by the time the insect meet the moth is
(a) $\frac{L}{2}$
(b) $L$
(c) $\frac{3 L}{4}$
(d) zero | 1 |
17. $\lim _{x \rightarrow \infty} \frac{(2 x+1)^{40}(4 x-1)^{5}}{(2 x+3)^{45}}$ is equal to
a 16
b. 24
c. 32
d. 8 | 1 |
14. For the redox reaction :
$$
\mathrm{MnO}_{4}^{-}+\mathrm{C}_{2} \mathrm{O}_{4}^{2-}+\mathrm{H}^{+} \rightarrow \mathrm{Mn}^{2+}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}
$$
the correct coefficients of the reactants for the balanced reaction are
[1992 - 1 Mark]
| | $\mathrm{MnO}_{4}^{-}$ | $\mathrm{C}_{2} \ma... | 1 |
How would you explain an array (data structure) to an 8 year old? | 0 |
How will the ban of 1000 and 500 rupee notes affect the Indian economy? | 0 |
2.67. Determine the ratio of the sonic velocity $v$ in a gas to the root mean square velocity of molecules of this gas, if the molecules are
(a) monatomic; (b) rigid diatomic. | 1 |
What is the best online course for learning programming? | 0 |
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