List of top Questions asked in Indian Institute Of Technology Joint Admission Test for MSc

Which one of the magnitude scales given below DOES NOT saturate while estimating size of carthquakes?

The average unit weight of the uppermost part of the crust is 25000 N/m³. The vertical stress at a depth of 1 km would be MPa. (In integer)

The coefficients of permeability of two aquifers - 1 and 2, are 60 m/day and 40 m/day, respectively. Their saturated thicknesses are 30 m and 15 m, respectively. Assuming steady state Darcian flow, the transmissivity of aquifer 1 is ____ times that of aquifer 2. (In integer)

Identify the correct stratigraphic successions ordered from oldest to youngest.

The contact between the Talchir Formation and the underlying Precambrian basement is

A borehole inclined at 60° to the horizontal pierces a vertical basaltic dyke of uniform thickness. If the length of the basaltic drill core along the core axis is 12 m, the thickness of the dyke is____ m. (In integer)

A granite block starts sliding on a slope (inclination of 30° with the horizontal) under the effect of gravity only, along the true direction of inclination of the slope and hits the ground in 4 seconds. Considering zero friction and zero cohesion during sliding, the vertical height of the point (with respect to the ground) from where the block was dislodged is _____m. (g = 10 m/s²) (In integer)

A metamorphosed basaltic assemblage can include the minerals

The cut-off grade of copper is 0.45 wt%. A mine has 1 million tonne of waste with a grade of 0.25 wt%. The mine also has stock of high grade ore with a grade of 1.8 wt%. How much of this high grade ore (in million tonne) must be blended with the waste to sell the blended ore at a grade of 0.5 wt%? (Round off to three decimal places)

The acceleration due to gravity on the Earth's surface depends on

An index fossil should have

The displacement of the bed shown in the figure bellow is caused by a single movement along fault XYZ. Of the options given below, which fault-type can explain the observed displacement?

In the AFM diagram below, W, X, Y and Z sepresent four pelitic assemblages. Which combinations of assemblages contain the same mineral phases in equilibrium in the staurolite zone?

An ore body defined by a 300m x 300m area is shown in the figure in which the drill hole locations on equally spaced square grid are marked (numbers 1-16). The average thickness of the ore body at the 4 interior points is 10.8m, at the 4 corners is 11.0m and at the remaining 8 boundary locations is 10.5m, respectively. The corresponding average grades are 1.5, 1.9 and 1.8wt%, respectively. Calculate the average grade (in wt%) of the full ore body using the Included Area Method. (Round off to two decimal places).

The mass of the Earth is 80 times that of the Moon while the radius of the Earth is four times that of the Moon. The surface gravity of the Earth is______times that of the Moon? (In integer)

The maximum and minimum principal stresses in a zone of active normal faulting are 28 MPa and 8 MPa, respectively. The fault plane strikes N30°E and dips 60° towards SE. Considering Anderson's theory of faulting, the normal stress on the fault plane is _______MPa. (In integer)

A P-ray arrives at the mantle-core boundary at an angle 25º with respect to the normal. At what angle to the normal does it enter the core? (P-wave velocity in the lower mantle is 13.7 km/s and outer core is 8.1 km/s)(Round off to two decimal places)

In the holosymmetric class of the Cubic System, how many more faces does the{110} form have compared to the {111 } form?

Increased diversity of siphonate bivalves occurred in response to

The radius of the Earth's circular orbit round the Sun is 149×10⁶ km. The Earth takes 365 days to orbit the Sun. The tangential velocity of the Earth is_____ km/hour. (π = 3.14) (Round off to one decimal place)

The Ripple Symmetry Index (RSI) for the given hypothetical asymmetric ripple is_____. (Round off to one decimal place)

Match the following sedimentary rocks in Group I with their compositions in Group II

Group I		Group II
P	Packstone	1	< I5% matrix, > 25% rock fragments
Q	Cirainstone	2	> 15<½! matrix, >259t feldspar
R	Lithic arenite	3	Grain supported, contains no mud
S	Arkosic wacke	4	Grain supported, contains mud

Match the formations in Group I with corresponding stratigraphic periods in Group II.

Group I		Group II
P	Syringothyris Limestone	1	Permian
Q	Karai Shale	2	Jurassic
R	Chari	3	Carboniferous
S	Barren Measures	4	Cretaceous

Assume that ²¹⁸Po, with a half-life of 138 days, is in secular equilibrium with ²³⁸U whose half-life is 4.5 x 10⁹ y. How many grams of ²¹⁸Po will be present for each gram of ²³⁸U in the mineral? Express your answer in logarithm (to the base 10). (Round off to two decimal places)

The Triassic-Jurassic boundary lies Within which one of the following stratigraphic units?