Logical Reasoning and Problem Solving Quiz

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Questions and Answers

The village was nestled in a green spot, ______ the ocean and the hills.

through

between (correct)

Disagree: Protest : : Agree : ______ (By word meaning)

Pretext

Refuse

Recommend (correct)

Refute

A 'frabjous' number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?

Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?

At most half the candidates have a score that is larger than the median. Signup and view all the answers

In the given diagram, ovals are marked at different heights (h) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?

Q Signup and view all the answers

Residency is a famous housing complex with many well-established individuals among its residents. A recent survey conducted among the residents of the complex revealed that all of those residents who are well established in their respective fields happen to be academicians. The survey also revealed that most of these academicians are authors of some best-selling books. Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

Some authors of best-selling books are residents of the complex who are well established in their fields. Signup and view all the answers

Ankita has to climb 5 stairs starting at the ground, while respecting the following rules: 1. At any stage, Ankita can move either one or two stairs up. 2. At any stage, Ankita cannot move to a lower step. Let F(N) denote the number of possible ways in which Ankita can reach the Nth stair. For example, F(1) = 1, F(2) = 2, F(3) = 3. The value of F (5) is ______

8 Signup and view all the answers

The information contained in DNA is used to synthesize proteins that are necessary for the functioning of life. DNA is composed of four nucleotides: Adenine (A), Thymine (T), Cytosine (C), and Guanine (G). The information contained in DNA can then be thought of as a sequence of these four nucleotides: A, T, C, and G. DNA has coding and non-coding regions. Coding regions—where the sequence of these nucleotides are read in groups of three to produce individual amino acids-constitute only about 2% of human DNA. For example, the triplet of nucleotides CCG codes for the amino acid glycine, while the triplet GGA codes for the amino acid proline. Multiple amino acids are then assembled to form a protein. Based only on the information provided above, which of the following statements can be logically inferred with certainty? (i) The majority of human DNA has no role in the synthesis of proteins. (ii) The function of about 98% of human DNA is not understood.

both (i) and (ii) Signup and view all the answers

Which one of the given figures P, Q, R and S represents the graph of the following function? f(x) = | |x + 2| - |x − 1||

Q Signup and view all the answers

An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The cylinder can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

R Signup and view all the answers

Which of the following is a chronostratigraphic unit?

Period Signup and view all the answers

During contact metamorphism, with increasing temperature, ______

the ratio of volume to surface area of mineral grains decreases. Signup and view all the answers

The dimension of dynamic viscosity is

M'L-1T-2 Signup and view all the answers

At a depth of about 400 km inside the Earth, which one of the following occurs?

Transformation of olivine to spinel structure Signup and view all the answers

Study Notes

Question 1

The village was nestled in a green spot, between the ocean and the hills.

Question 2

Disagree : Protest :: Agree : Refute

Question 3

A "frabjous" number is defined as a 3-digit number with all odd digits and no two adjacent digits the same.
Example: 137 is a frabjous number, while 133 is not.
There are 80 such frabjous numbers.

Question 4

The statement that is likely true about the mean and median of GATE 2023 scores is: At most half the candidates have a score larger than the median.

Question 5

The top view of the hill is represented by option Q.

Question 6

Residency is a housing complex with many well-established individuals.
A survey revealed that all residents well-established in their fields are academicians.
Most academicians are authors of best-selling books.
Some residents of the complex who are well-established in their fields are also authors of some best-selling books.

Question 7

Ankita has to climb 5 stairs, moving either 1 or 2 steps at a time.
She cannot move to a lower step.
F(1) = 1, F(2) = 2, F(3) = 3
F(5) = 8

Question 8

DNA contains information to synthesize proteins.
DNA is composed of 4 nucleotides: A, T, C, and G.
Coding regions (2% of human DNA) are read in triplets to form amino acids.
The majority of human DNA has no role in protein synthesis.
The function of about 98% of human DNA is not understood.

Question 9

The function is f(x) = | |x + 2| - |x − 1||
The graph that represents this function is R.

Question 10

An opaque cylinder casts a shadow on a screen.
The cylinder can be reoriented in any direction.
Option R is not a possible shadow.

Question 11

A period is a chronostratigraphic unit.

Question 12

With increasing temperature during contact metamorphism, the ratio of volume to surface area of mineral grains decreases.

Question 13

The dimension of dynamic viscosity is ML⁻¹T⁻².

Question 14

At a depth of about 400 km inside the Earth, conversion of spinel peridotite to plagioclase-peridotite occurs.

Question 15

The planet with an equatorial radius closest to Earth's is Venus.

Question 16

The variation of Bouguer anomaly after applying all corrections is due to lateral density variations.

Question 17

The magnitude relation between coefficients alpha, beta and gamma is alpha greater than beta less than gamma.

Question 18

The Phanerozoic period with the shortest duration is Silurian.

Question 19

Rock 'Y' has higher proportion of felsic minerals (plagioclase, alkali feldspars, quartz) compared to X and Z.

Question 20

The correct sequence of electromagnetic radiations in increasing wavelength is: Gamma ray < UV < Near-IR.

Question 21

A horizontal fold is represented by the given stereoplot.

Question 22

Bulk density: 1800 kg/m³
Water content: 18%
Dry density = 1525.4 kg/m³

Question 23

Seismic reflection survey over layers with:
p1 = 2000kg/m³ V₁ = 1800 m/s
p2 = 3000kg/m³ V2 = 2100 m/s
Reflection coefficient is 0.273

Question 24

Rock resistivity 60Ωm
Water resistivity 0.25Ωm
Tortuosity and cementation exponents 1 and 2 respectively
Porosity = 6.45%

Question 25

Potential differences recorded for current flow C1 to C2 and vice versa
self potential recorded = -28 mV
Self potential between electrodes before current injection = -28mV

Question 26

Pratt's model of isostatic compensation
crustal density (p₁) = 2789.47 kg/m³

Question 27

Young's modulus of granite is 5×10¹⁰ to 7×10¹⁰ Newton/m².

Question 28

Resultant stress obtained from normal stress measurements corrected for the mean stress is deviatoric stress.

Question 29

In ferrimagnetic materials, the arrangement of magnetic moments is unequal and anti-parallel in nature.

Question 30

The earthquake body wave phase traveling as an S-wave through the Earth's inner core is PKIKP.

Question 31

If the divergence and curl of a vector field are zero, the field is solenoidal and irrotational.

Question 32

The equipotential surface due to a horizontal line current electrode in a homogeneous Earth is half-cylindrical.

Question 33

The working principle of a standard Proton Precession Magnetometer is based on nuclear magnetic resonance.

Question 34

The working principle of modern absolute gravimeters is based on the principle of zero length spring.

Question 35

The direction of polarization with respect to the horizontal is 0°.

Question 36

Geiger-Müller counters primarily respond to gamma radiation.

Question 37

The damping parameter in Damped Least-squares in geophysical inverse problems is primarily used for stabilizing the inverse solution.

Question 38

Group velocity = 271m/s

Question 39

Gravity anomaly = 16.9 mGal

Question 40

Measured dip angle = 11.2°

Question 41

Local heat flow is 60.8 milli-Wm⁻².

Question 42

The critical distance is 2785 meters.

Question 43

The duration (t) of the output pulse is 5 milli-seconds.

Question 44

The proportion of water is 5.75%

Question 45

The electrode configuration producing the maximum number of negative apparent resistivity data is Dipole-dipole.

Question 46

The complex signal based on the Hilbert transform of Sin(t) is: cos(t) - i sin(t).

Question 47

The correct statement about lateral resolution for given arrays is Lateral resolution of Wenner array is better than the Two-electrode array.

Question 48

Laminar shale, structural shale, and dispersed shale can be distinguished based on Self-potential (SP) log value and formation water resistivity (Rw).

Question 49

The magnetic field decreases relative to the gravity field with distance (r) by a factor of 1/r .

Question 50

The total excess mass of an irregular shaped body is calculated using Divergence theorem.

Question 51

The Euler deconvolution equation is: (∂BT/∂xi) = (NB-N(BT)i .

Question 52

The correct statement about a potential field with spherical symmetry is ∂U/∂r ≠ 0, ∂U/∂θ = 0, ∂U/∂φ = 0.

Question 53

Pxy = Pyx when 2D strike is in x/y direction or at 45 degree from x to y direction..

Question 54

The correct relationship for singular value decomposition (SVD) is VTV = I.

Question 55

The observed gravity values (ga, gB, and gc) in a valley below sea level, on a surface at sea level, and on a mountain above sea level, respectively, would give ga and gc less than gB.

Question 56

The correct statement(s) for generating point M in a seismic reflection survey is: The curvature of the reflector is greater than that of the incident wavefront, Focusing effect, and Migration.

Question 57

The third term in X2 - T2 seismic reflection method is a geometrical spreading to correct AVO data.

Question 58

Longitudinal resistivity = 136.36 Ωm

Question 59

Resistivity of the medium is 128.9 Ωm.

Question 60

Maximum cross-correlated value = 0.22

Question 61

Apparent rupture time = 15 sec

Question 62

Movable hydrocarbon saturation = 11.1%

Question 63

Total magnetic field anomaly = 40804 nT

Question 64

Maximum change in gravity anomaly = 0.45 mGal

Question 65

Epicentral distance for the given earthquake is 18 km.

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Test your logical reasoning and problem-solving skills with this engaging quiz. It covers various topics including word relationships, number properties, and statistical interpretations. Perfect for students preparing for competitive exams or anyone looking to sharpen their critical thinking abilities.