List of top Questions asked in MET- 2008

The area of the region bounded by the curve \( x = 4 - y^{2} \) and the y-axis is:
The number of divisors of 360 (excluding 1 and 360) is:
The value of $\sin(45^{\circ} + \theta) - \cos(45^{\circ} - \theta)$ is:
The general solution of \( \frac{dy}{dx} = e^{x - y} \) is:
Find the missing number in the series: 4, 9, 16, 25, ?
A man walks 5 km South and then turns Right. After walking 3 km he turns Left and walks 5 km. Now in which direction is he from the starting place?
If 5 men can build a wall in 12 days, how many days will 10 men take?
If 1st January 2023 was a Sunday, what day was 1st January 2024?
A train 100m long passes a bridge in 10 seconds at 72 km/hr. The length of the bridge is:
A shopkeeper sold an item for Rs. 440 at a 10% profit. What was the Cost Price?
A boat goes 12 km/hr in still water. If the speed of the stream is 4 km/hr, what is the boat's speed downstream?
The standard reduction potentials at 298 K for half-cell reactions are given:
\( \mathrm{Zn}^{2+} + 2e^{-} \rightarrow \mathrm{Zn};\ -0.762\,\text{V} \)
\( \mathrm{Cr}^{3+} + 3e^{-} \rightarrow \mathrm{Cr};\ -0.74\,\text{V} \)
\( 2\mathrm{H}^{+} + 2e^{-} \rightarrow \mathrm{H}_{2};\ 0.00\,\text{V} \)
\( \mathrm{Fe}^{3+} + e^{-} \rightleftharpoons \mathrm{Fe}^{2+};\ +0.77\,\text{V} \)
The strongest reducing agent is:
The electronic configuration \( 1s^{2}\, 2s^{2}\, 2p^{6}\, 3s^{2}\, 3p^{6}\, 3d^{10} \) represents:
In which of the following complex ion, the central metal ion is in a state of \( sp^{3}d^{2} \) hybridisation?
The formation of \( \mathrm{O}_{2}^{+}[\mathrm{PtF}_{6}]^{-} \) is the basis for the formation of xenon fluorides because:
The density of a gas is \( 1.964 \text{ g/dm}^{3} \) at \( 273 \text{ K} \) and \( 76 \text{ cm Hg} \). The gas is:
\( \Delta G^{\circ} \) vs T plot in the Ellingham's diagram slopes downwards for the reaction:
Which of the following electrolyte will have maximum flocculation value for \( \mathrm{Fe(OH)}_{3} \) sol?
The emf \( E^{\circ} \) of the following cells are:
\( \mathrm{Ag} \mid \mathrm{Ag}^{+} (1\text{ M}) \parallel \mathrm{Cu}^{2+} (1\text{ M}) \mid \mathrm{Cu}; \, E^{\circ} = -0.46 \text{ V} \)
\( \mathrm{Zn} \mid \mathrm{Zn}^{2+} (1\text{ M}) \parallel \mathrm{Cu}^{2+} (1\text{ M}) \mid \mathrm{Cu}; \, E^{\circ} = 1.10 \text{ V} \)
emf of the cell \( \mathrm{Zn} \mid \mathrm{Zn}^{2+} (1\text{ M}) \parallel \mathrm{Ag}^{+} (1\text{ M}) \mid \mathrm{Ag} \) is:
Which of the following electrolyte will have maximum flocculation value for \( \mathrm{Fe(OH)}_{3} \) sol?
The emf \( E^{\circ} \) of the following cells are:
\( \mathrm{Ag} \mid \mathrm{Ag}^{+} (1\text{ M}) \parallel \mathrm{Cu}^{2+} (1\text{ M}) \mid \mathrm{Cu}; \, E^{\circ} = -0.46 \text{ V} \)
\( \mathrm{Zn} \mid \mathrm{Zn}^{2+} (1\text{ M}) \parallel \mathrm{Cu}^{2+} (1\text{ M}) \mid \mathrm{Cu}; \, E^{\circ} = 1.10 \text{ V} \)
emf of the cell \( \mathrm{Zn} \mid \mathrm{Zn}^{2+} (1\text{ M}) \parallel \mathrm{Ag}^{+} (1\text{ M}) \mid \mathrm{Ag} \) is:
If a cricket ball having mass of 200 g is thrown with a speed of \( 3 \times 10^{3} \text{ cm/s} \), then calculate the wavelength related to it.
Phenolphthalein is obtained by heating phthalic anhydride with conc. \( \text{H}_{2}\text{SO}_{4} \) and:
Freezing point of urea solution is \( -0.6^{\circ}\text{C} \). How much urea (\( \text{m.wt.} = 60 \text{ g/mol} \)) will be required to dissolve in 3 kg water? (\( k_{f} = 1.5^{\circ}\text{C kg mol}^{-1} \))
If \( K < 1.0 \), what will be the value of \( \Delta G^{\circ} \) of the following?