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GATE Environmental Science Mock Test - 4 - GATE Environmental Science MCQ


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30 Questions MCQ Test GATE Environmental Science 2025 Mock Test Series - GATE Environmental Science Mock Test - 4

GATE Environmental Science Mock Test - 4 for GATE Environmental Science 2025 is part of GATE Environmental Science 2025 Mock Test Series preparation. The GATE Environmental Science Mock Test - 4 questions and answers have been prepared according to the GATE Environmental Science exam syllabus.The GATE Environmental Science Mock Test - 4 MCQs are made for GATE Environmental Science 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for GATE Environmental Science Mock Test - 4 below.
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GATE Environmental Science Mock Test - 4 - Question 1

How many 4-digit positive integers, which are divisible by 3, can be formed using the digits {1, 3, 4, 6, 7}, with the condition that no digit is used more than once in any number?

GATE Environmental Science Mock Test - 4 - Question 2

What is the sum of the following infinite series?

GATE Environmental Science Mock Test - 4 - Question 3

In a recent election, the allocation of valid votes among the four candidates A, B, C, and D is depicted in the accompanying pie chart. The total number of votes cast in this election was 1,15,000, of which 5,000 were invalid.

Based on the information provided, what is the combined total of valid votes received by candidates B and C?

GATE Environmental Science Mock Test - 4 - Question 4

If 6 men can accomplish half of a task in 12 days by working for 8 hours each day, how many men will be required to complete the entire task in 8 days while working 9 hours a day?

Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 4

GATE Environmental Science Mock Test - 4 - Question 5

Which of the following options depicts the reflection of the figure shown below when the mirror is placed on the left side?

Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 5

GATE Environmental Science Mock Test - 4 - Question 6

Consider two identical right circular cones arranged such that one is inverted and placed atop the other, both sharing a common circular base. If a cutting plane intersects the apexes of the stacked cones, what form will the outer edge of the resultant cross-section take? 

GATE Environmental Science Mock Test - 4 - Question 7

Which of the following accurately depicts the order of atomic size?

Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 7

Atomic size gradually decreases from left to right across a period of elements and increases down a group.

GATE Environmental Science Mock Test - 4 - Question 8

Which of the following acts as the ultimate electron acceptor in the electron transport chain during the process of aerobic respiration?

Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 8

In aerobic organisms undergoing respiration, electrons are shuttled to an electron transport chain, and the final electron acceptor is oxygen. Molecular oxygen is a high-energy oxidizing agent and therefore it is an excellent electron acceptor.

GATE Environmental Science Mock Test - 4 - Question 9

The following table presents the techniques utilized for the removal of particles in a rapid sand filter, along with their corresponding descriptions.

Determine the correct association.

GATE Environmental Science Mock Test - 4 - Question 10

In a specific area, the temperature of the environment increases by 6°C for every kilometer in altitude. What is the state of atmospheric stability at this location?

GATE Environmental Science Mock Test - 4 - Question 11

As per the Sustainable Development Agenda established by the United Nations in September 2015, what is the total count of Sustainable Development Goals (SDGs), and what is the target year set for their completion?

GATE Environmental Science Mock Test - 4 - Question 12

Which of the following claims regarding the Montreal Protocol is NOT correct?

Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 12

Montreal protocol is part of Vienna convention because it is amendment to it.

GATE Environmental Science Mock Test - 4 - Question 13

According to the regulations set forth by the United Nations Environmental Programme (UNEP) in 2004, what is the largest size that microplastics can be?

GATE Environmental Science Mock Test - 4 - Question 14

Considering that the ranks of the square matrices A and B are 3 and 4 respectively, which of the following statements is correct?

Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 14

Rank of AB ⩽ min(Rank(A), Rank(B)) ⩽ 3

GATE Environmental Science Mock Test - 4 - Question 15

In a frequency distribution that exhibits positive skewness, which of the following statements is correct?

Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 15

In a positively skewed frequency distribution, Mean ⩾Median ⩾ Mode

*Multiple options can be correct
GATE Environmental Science Mock Test - 4 - Question 16

Which of the following statements regarding the settling of particles in wastewater treatment systems is/are correct?

*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 17

The boundary between soap bubbles and air exhibits a surface tension of 0.054 N/m. Determine the internal pressure (in N/m2, rounded to two decimal places) within a soap bubble that has a diameter of 6 cm.


Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 17

Since, a soap bubble has two soap-air interfaces,

This is over and above the atmospheric pressure.

GATE Environmental Science Mock Test - 4 - Question 18

Given the two regression lines defined by the equations 3x - 2y 1 = 0 and 2x - y - 2 = 0, find the means of the x and y variables, respectively.

Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 18

Given, 3x - 2y + 1 = 0 and 2x - y - 2 = 0

Let the mean of x be   x̄ and mean of y be ȳ.

Here, (x̄, ȳ) is the point of intersection of the 2 lines.

3x - 2y + 1 = 0 -- eqn. 1

(2x - y - 2 = 0) x 2 ⇒ 4x - 2y - 4 = 0 -- eqn. 2

Subtract eqn. 2 from eqn. 1

-x + 5 = 0,  x̄ = 5

From eqn. 1, 3 × 5 - 2y + 1 = 0, ȳ = 8

Thus, x̄ = 5 and ȳ = 8

GATE Environmental Science Mock Test - 4 - Question 19

A gravity settling chamber with a height of ‘H’ and a length of ‘L’ is designed to address particulate air pollution. Within this chamber, the horizontal airflow velocity is ‘Vh’ and the terminal settling velocity of the given particle is ‘Vt’. Which of the following equations correctly illustrates the principle used to ascertain the minimum size of the target particle that can be removed with 100% efficiency?

*Multiple options can be correct
GATE Environmental Science Mock Test - 4 - Question 20

Water is flowing entirely through a rectangular channel with dimensions of 3 m (width) × 2 m (height). The average flow velocity is 1 m/s. The frictional head loss is 1 m per kilometer. Assume the acceleration due to gravity (g) is 10 m/s². Which of the following statement(s) is/are correct?

*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 21

Analyze the following initial value problem. What is the value of y when x is equal to ln2 (rounded to one decimal place)?

dy/dx = 2x − y, y(0) = 1


Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 21

dy/dx + y = 2x

P = 1 Q = 2x

IF = e∫pdx
= ex

y(IF) = ∫Q(IF) + k

y(ex) = ∫2xex + k

y(ex) = 2[ x(ex) - ex] + k

1 = 2(-1) + k

k = 3

y(eln2) = 2[ ln2( eln2) - eln2 ] + 3

y = 0.9

*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 22

The equations of the regression lines are expressed as

3x - 2y - 10 = 0, 3y - 4x 24 = 0

What is the value of the correlation coefficient, rounded to two decimal places?


Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 22

1) 3x - 2y - 10 = 0 ➞ x = (2/3)y + 10/3

coefficient of y (byx) =  2/3

2) 3y - 4x +24 = 0 ➞ y = (4/3)x - 8

coefficient of x (bxy) = 4/3

r = √bxy.byx = √8/9 = 0.94

*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 23

Calculate the final BOD of the sample in mg/l (rounded to two decimal places) given that the initial DO of a 10% diluted sample is 6.7 mg/l. After 5 days, the final DO of the mixture is observed to be 2 mg/l, and the oxygen consumption in the blank is recorded as 0.5 mg/l. Assume that k (base e) is equal to 0.23 day-1.


Detailed Solution for GATE Environmental Science Mock Test - 4 - Question 23

*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 24

Considering the watershed and the isohyets depicted in the diagram, what is the average precipitation within the watershed represented in _______ mm (an integer value)?


*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 25

With reference to the gate shown in the image, this gate will start to open automatically when the water level 'IT' above the hinge reaches _______ m (rounded to two decimal places).


*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 26

A cyclone separator has a radius of 25 cm, and a particle is traveling alongside a gas stream at a velocity of 18 m/s. Determine the ratio of the centrifugal force to the gravitational force acting on the particle, rounded to two decimal places.
Assume the acceleration due to gravity (g) to be 9.8 m/s².


*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 27

In a room, there are two sources of noise located adjacent to each other, with sound pressure levels recorded at 30 dB and 40 dB, respectively. What is the cumulative sound pressure level in the room, expressed in __________ dB (rounded to two decimal places)?
Use a reference sound pressure of 20 µPa.


*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 28

An emissions stack from an industrial source discharges 100 g/s of CO at an effective height of H, with a wind velocity of 5 m/s. At a distance of 3 km downwind, the dispersion coefficients in the y-direction and z-direction are 50 m and 25 m, respectively. The concentration of CO at the centerline of the plume, measured 3 km downwind, is __________ mg/m³ (rounded to two decimal places).
Utilize the Gaussian plume model and assume π = 3.14. For the calculations, disregard any reactions and the impact of the ground on the plume.


*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 29

An individual consumes 2.5 liters of water daily. A quality assessment of the water indicated that the Pb concentration in the water supply is 0.6 mg/L. Considering that this person has a weight of 75 kg, the amount of Pb exposure from this drinking water source for the individual is __________ mg/kg/day (rounded to 2 decimal places).


*Answer can only contain numeric values
GATE Environmental Science Mock Test - 4 - Question 30

In a specific region, the annual gasoline usage is 30.6 million tons. The area required to grow sugarcane to produce enough bioethanol to completely replace the gasoline is __________ km² (an integer value).
The energy equivalence of ethanol is 67% that of gasoline, the density of gasoline is 850 kg/m³, the yield of bioethanol from sugarcane per hectare is 3750 L, and 1 km2 is equivalent to 100 hectares.


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