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Hard

Which of the following carbocations is expected to be most stable?

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ChemistryMedium

Identify compound X in the following sequence of reactions

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BIOLOGYMedium

Match List-I with List-II. List-I: (a) Lenticels, (b) Cork cambium, (c) Secondary cortex, (d) Cork. List-II: (i) Phellogen, (ii) Suberin deposition, (iii) Exchange of gases, (iv) Phelloderm.

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PhysicsMedium

A spherical conductor of radius $10 \text{ cm}$ has a charge of $3.2 \times 10^{-7} \text{ C}$ distributed uniformly. What is the magnitude of electric field at a point $15 \text{ cm}$ from the centre of the sphere? ($\frac{1}{4\pi \epsilon_0} = 9 \times 10^9 \text{ Nm}^2/\text{C}^2$)

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CHEMISTRYMedium

An organic compound contains 78% (by wt.) carbon and remaining percentage of hydrogen. The right option for the empirical formula of this compound is : [Atomic wt. of C is 12, H is 1]

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BIOLOGYMedium

Identify the types of cell junctions that help to stop the leakage of the substances across a tissue and facilitation of communication with neighbouring cells via rapid transfer of ions and molecules.

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Hard

A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field $\vec{E}$. Due to the force $q\vec{E}$, its velocity increases from 0 to 6 m/s in one second duration. At that instant the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively

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CHEMISTRYEasy

The maximum temperature that can be achieved in blast furnace is :

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Medium

Compound A, $C_8H_{10}O$, is found to react with $NaOI$ (produced by reacting $Y$ with $NaOH$) and yields a yellow precipitate with characteristic smell. A and Y are respectively

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PHYSICSMedium

If E and G respectively denote energy and gravitational constant, then $\frac{E}{G}$ has the dimensions of

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PHYSICSMedium

A convex lens 'A' of focal length 20 cm and a concave lens 'B' of focal length 5 cm are kept along the same axis with a distance 'd' between them. If a parallel beam of light falling on 'A' leaves 'B' as a parallel beam, then the distance 'd' in cm will be

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CHEMISTRYEasy

Among the following alkaline earth metal halides, one which is covalent and soluble in organic solvents is :

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BIOLOGYEasy

The centriole undergoes duplication during:

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CHEMISTRYThermodynamicsMedium

The work done when $1 \text{ mole}$ of gas expands reversibly and isothermally from a pressure of $5 \text{ atm}$ to $1 \text{ atm}$ at $300 \text{ K}$ is: [Given: $\log 5 = 0.6989$ and $R = 8.314 \text{ J K}^{-1} \text{ mol}^{-1}$]

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Medium

In which case is number of molecules of water maximum?

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Medium

Which of the following pairs is wrongly matched?

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Easy

Pollen grains can be stored for several years in liquid nitrogen having a temperature of

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PhysicsEasy

In a certain region of space with volume $0.2 \text{ m}^3$, the electric potential is found to be $5 \text{ V}$ throughout. The magnitude of electric field in this region is :

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ChemistryMedium

Match the following and identify the correct option. (a) $CO(g) + H_2(g)$ (i) $Mg(HCO_3)_2 + Ca(HCO_3)_2$ (b) Temporary hardness of water (ii) An electron deficient hydride (c) $B_2H_6$ (iii) Synthesis gas (d) $H_2O_2$ (iv) Non-planar structure

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PHYSICSMedium

An inductor of inductance $L$, a capacitor of capacitance $C$ and a resistor of resistance $R$ are connected in series to an ac source of potential difference $V$ volts as shown in figure. Potential difference across $L$, $C$ and $R$ are 40 V, 10 V and 40 V, respectively. The amplitude of current flowing through $LCR$ series circuit is $10\sqrt{2}$ A. The impedance of the circuit is

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