List of practice Questions

Monosodium glutamate is:
Which of the following companies has acquired 100% stake in Air India?
What is Zoonosis?
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?
A man weighing 70 kg is riding on a cart of mass 30 kg which moves along a level floor at a speed of 3 ms-1. If he runs on the cart so that his velocity relative to the cart is 4ms-1 in the direction opposite to the motion of the cart, the speed of centre of mass of the system is

In the circuit shown, assume the diode to be ideal. When \( V_i \) increases from \(-2V\) to \(6V\), the change in current is (in mA): 

Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are distinct. In how many different ways can 10 balls be chosen from these 4 boxes so that from each box at least one red ball and one blue ball are chosen?

Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.

A student reported the following arsenic concentrations in water samples:  
 

Arsenic concentration (mg/L)0.100.120.200.050.400.300.35


Which one of the following is a correct statement about arsenic concentration distribution? 

Given, $y = f(x)$; $\dfrac{d^2 y}{dx^2} + 4y = 0$; $y(0) = 0$; $\dfrac{dy}{dx}(0) = 1$. The problem is a/an
Average values of the re-aeration rate constant for river X and Y are 0.92 day$^{-1}$ and 1.12 day$^{-1}$ respectively. Average de-oxygenation rate constants are 0.23 day$^{-1}$ and 0.35 day$^{-1}$ for the same rivers. Which of the following statement(s) is/are correct?
The area of the region (rounded off to one decimal place) enclosed between the curves $y = x$ and $y = 3\sqrt{x}$ and between the lines $x = 0$ and $x = 1$ is ____________ units
The Henry’s law constant of CO$_2$ is $3.4 \times 10^{-2}$ M/atm at 25$^\circ$C.
Dissolved CO$_2$ undergoes:
CO$_2 \cdot$H$_2$O $\rightleftharpoons$ H$^+$ + HCO$_3^-$ ($K_1 = 4.3 \times 10^{-7}$ M)
HCO$_3^- \rightleftharpoons$ H$^+$ + CO$_3^{2-}$ ($K_2 = 4.7 \times 10^{-11}$ M)
If ambient CO$_2$ concentration is 300 ppm, the total dissolved CO$_2$ (in $\mu$M, rounded off to one decimal place) is __________.
An intake shaft has resistance of 0.05 Ns$^2$/m$^8$ up to depth 400 m. Airflow rate = 100 m$^3$/s, air density = 1.2 kg/m$^3$. Barometer reads 99.375 kPa at surface. Find the barometer reading at 400 m depth (kPa), rounded to two decimals.
The NPVs of project proposals A and B are: \[ NPV_A = -0.01i^2 - 0.02i + 4.44, \qquad NPV_B = -0.03i^2 - 0.01i + 6.55, \] where $i$ is the discount rate. The discount rate for which both proposals have equal possibility of acceptance or rejection (rounded off to two decimals) is __________.
The value of \[ \int_0^1 x \log(1+x)\, dx \] (rounded off to two decimals) is __________.
A coal seam of uniform thickness 12 m dips at 30$^\circ$. The ultimate pit limit is based on an instantaneous stripping ratio of 10 m$^3$/tonne and a safe slope angle of 45$^\circ$. Coal density = 1.41 tonne/m$^3$. Find length $L$ in m (rounded off to two decimals).
A mine has a reserve of 150 million tonne (Mt) and a maximum production capacity of 5 Mt/year. First-year production is 2 Mt and increases by 20% each year. Find the reserve remaining at the end of 15 years (rounded off to two decimal places).
Information on Activity-Time duration of a project is provided below. The expected project duration in weeks, is ____________. (in integer)
A pump lifts mine water (density 1020 kg/m$^3$) at 250 m$^3$/hr from 150 m depth. Head loss = 15 m, efficiency = 68%. Find motor input power (in kW), rounded to two decimals.
In a surface mine bench, overburden is removed by shovel–dumper combination. Data for the dumper is given. Minimum number of dumpers required to avoid shovel idle time (in integer) is __________.
In a bord and pillar panel, with headings of 4.4 m × 2.5 m advanced by solid blasting, the average pull per round = 1.2 m and 12 faces are blasted per day. Density of coal = 1500 kg/m$^3$. Mine works three shifts; daily employment = 330 persons. Labour productivity (OMS) in tonne (rounded off to two decimals) is __________.
In a longwall face, the full seam thickness of 3 m is cut by a shearer with a web depth of 0.7 m. Hauling speed = 12 m/min. AFC trough cross-section = 0.4 m$^2$, loading coefficient = 0.7. Find the AFC speed (in m/s), rounded to one decimal place.
A city of area 20 km × 40 km receives wind perpendicular to the 20 km side at 4 m/s. Inversion layer height = 100 m. PM$_1$ emission rate = 1 kg/s. Find steady-state PM$_1$ concentration (µg/m$^3$), rounded to one decimal place, using a Box model.
The point A(7,17) in the Coward flammability diagram represents the gas composition of a sealed-off area (volume = 10000 m$^3$). Inert gas is injected so that composition moves below the LEL boundary. Minimum required inert gas volume (in m$^3$, rounded off to one decimal place) is __________.