Suresh said, “I did it yesterday.” Which one of the following options is the correct form of this sentence in indirect speech?
a.
Suresh said that I did it yesterday.
b.
Suresh says I did it yesterday.
c.
Suresh says that he did it the day before.
d.
Suresh said that he had done it the day before.
Correct Answer
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Q2mcq
To continue the sequence of tiles shown, the tile indicated by the question mark should be
a.
b.
c.
Correct Answer
d.
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Q3mcq
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is ________.
a.
2
b.
3
Correct Answer
c.
4
d.
5
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Q4mcq
The 2 nd of June is a Thursday in a certain year. Which day of the week is the 3 rd of July in that year?
a.
Thursday
b.
Friday
c.
Saturday
d.
Sunday
Correct Answer
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Q5mcq
A coin with heads facing up is shown as and a coin with tails facing up is shown as. Six coins are placed in the Starting Arrangement, as shown in the figure below. A “step” is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is ________.
a.
3
b.
6
c.
9
Correct Answer
d.
12
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Q6mcq
Exacerbate: Mitigate:: ___________ Choose the option with the correct pair of words to fill the blank.
a.
Aggravate: Alleviate
Correct Answer
b.
Alleviate: Precipitate
c.
Aggravate: Precipitate
d.
Emancipate: Exonerate
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Q7mcq
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
a.
Only (i) can correspond to the unfolded cube in Panel I.
b.
Only (ii) can correspond to the unfolded cube in Panel I.
Correct Answer
c.
Both (i) and (ii) can correspond to the unfolded cube in Panel I.
d.
Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.
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Q8mcq
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore, 1. the total number of patients with at least one of these conditions is 75, 2. the number of patients with high cholesterol is 10, 3. the number of patients with high BP is 45, and 4. the number of patients with only high BP and no other conditions is 20. Then the number of patients who have both diabetes and high BP is _______
a.
0
b.
15
Correct Answer
c.
20
d.
10
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Q9mcq
Four people P, Q, R, and S, of different ages, make the following observations. P – I am younger than S. Q – I am neither the youngest nor the oldest. R – P is older than me. Based on these observations, the youngest person is ______.
a.
P
b.
Q
c.
R
Correct Answer
d.
S
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Q10mcq
Circles $C$, $C$, and $C$, with centers $O$, $O$, and $O$, and radii $r$, $r$, and $r$,
1 2 3 1 2 3 1 2 3 respectively, touch each other as shown in the following figure. Given cm,
$r$ 1 = 2 $r$ 2 = 1 cm and the angle $∠O$ 1 $O$ 3 $O$ 2 is 90°, $r$ 3 = _____ cm.
a.
1 (-3 + $\sqrt{17}$) 2
Correct Answer
b.
1 (3 + $\sqrt{17}$) 2
c.
1 (-2 + $\sqrt{17}$) 2
d.
1 (-3 + $2\sqrt{17}$) 2
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A box contains 26 cards with all English alphabets from A to Z. The probability of randomly choosing the card with either ‘E’ or ‘S’ from this box is ______.
a.
2/26
b.
1/26
c.
3/26
d.
4/26
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Which ONE of the following options is the CORRECT formula for Chi-Square (χ 2) test? Given, $O$, $O$, ….. $O$ are the observed values, $E$, $E$, ….. $E$ are the corresponding
1 2 $n$ 1 2 $n$ expected values, $O̅$ is the mean of observed values,, n is the number of observations, µ is the mean of $E i$, $i$ = 1, …, $n, σ o$ is the standard deviation of observed values, and $σ E$ is the standard deviation of expected values $E i$, $i$ = 1, …, $n.$
a.
b.
c.
$O̅ -μ$ χ 2 = $σ o \sqrt{n}$
d.
$(σ$) 2 χ 2 = $o$ $(σ$) 2 $E$
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In the reversible reaction shown below, $k$ is the forward reaction rate constant and
$f$ $k r$ is the reverse reaction rate constant. The CORRECT expression representing the reaction equilibrium constant is ______.
a.
$k f$ + $k r$
b.
$k f \times k r$
c.
$k f$ $k r$
d.
$k r$ $k f$
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The major class of enzymes catalyzing the cleavage of $C$ - $C, C$ - $O, C$ - $N,$ or other bonds by elimination, leaving double bonds or rings, or addition of groups to double bonds in any biochemical reactions is ______.
a.
lyases
b.
transferases
c.
oxidoreductases
d.
hydrolases
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Consider the following statements regarding the pressure measured at a point in a fluid. S1: Absolute pressure is gauge pressure plus atmospheric pressure. S2: Gauge pressure is measured by considering absolute zero pressure as datum. S3: Absolute pressure is measured by considering atmospheric pressure as datum. S4: Vacuum pressure is negative pressure obtained by subtracting absolute pressure from atmospheric pressure. Which ONE of the following options lists all the TRUE statements?
a.
S1 and S2
b.
S2 and S3
c.
S1 and S4
d.
S1, S2, and S4
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Which ONE of the following options CORRECTLY matches the processes associated with the growth condition given in the table?
Process Growth Condition
(P) Activated sludge process (i) Anaerobic suspended growth
(Q) Anaerobic filter (ii) Anaerobic attached growth
(R) Trickling filter (iii) Aerobic suspended growth
(S) Anaerobic digestion (iv) Aerobic attached growth
a.
(P) - (ii); (Q) - (iii); (R) - (iv); (S) - (i)
b.
(P) - (iii); (Q) - (ii); (R) - (iv); (S) - (i)
c.
(P) - (iii); (Q) - (i); (R) - (iv); (S) - (ii)
d.
(P) - (iv); (Q) - (iii); (R) - (ii); (S) - (i)
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As per the United Nations General Assembly resolution adopted in 2015 “Transforming Our World: The 2030 Agenda for Sustainable Development”, the number of sustainable development goals (SDGs) is ______.
a.
4
b.
15
c.
17
d.
11
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Which ONE of the following options CORRECTLY matches the ISO series with their usages in environmental management system (EMS) given in the table?
ISO Series Environmental Management System (P) ISO 14001 (i) Environmental labeling (Q) ISO 14020 (ii) Evaluation of environmental management system (R) ISO 14040 (iii) Addressing environmental aspects of products (S) ISO 14060 (iv) Life cycle assessment procedure
a.
(P) - (i); (Q) - (ii); (R) - (iii); (S) - (iv)
b.
(P) - (ii); (Q) - (i); (R) - (iv); (S) - (iii)
c.
(P) - (iii); (Q) - (iv); (R) - (i); (S) - (ii)
d.
(P) - (iv); (Q) - (iii); (R) - (ii); (S) - (i)
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A 6-hour rainfall of 6 cm at a station was found to have a return period of 40 years. The probability that a 6-hour rainfall of this or larger magnitude will occur at least once in 20 successive years at that station is ______ (rounded off to three decimal places).
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Water is flowing at the rate of 15 m 3 /s through a rectangular channel of 5 m width. If the acceleration due to gravity (g) is 9.81 m/s 2, the critical velocity for the flow is ______m/s (rounded off to three decimal places).
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A first-order ordinary differential equation is given as follows:
$dy$
$dx$
+ $x$ 2 $y$ = 0 Which ONE of the following options CORRECTLY represents the characteristics of this equation?
a.
Linear, homogeneous, and exact
b.
Nonlinear, nonhomogeneous, and exact
c.
Linear, homogeneous, and non-exact
d.
Nonlinear, nonhomogeneous, and non-exact
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Which ONE of the following options is CORRECT with respect to sequential breakdown of deoxyribonucleic acid (DNA) into lower-molecular weight compounds?
a.
b.
c.
d.
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Which ONE of the following options CORRECTLY matches the Criteria Air Pollutants with measurement methods used in Continuous Ambient Air Quality Monitoring Stations (CAAQMS) operated by Central Pollution Control Board (CPCB) given in the table?
Criteria Air Pollutants Measurement Methods (P) Sulphur Dioxide (SO 2, in µg/m 3) (i) Chemiluminescence (Q) Nitrogen Dioxide (NO 2, in µg/m 3) (ii) Non Dispersive Infra
Red (NDIR) spectroscopy (R) Particulate Matter (PM 2.5, in µg/m 3) (iii) Ultraviolet
fluorescence (S) Carbon Monoxide (CO, in mg/m 3) (iv) Beta attenuation
a.
(P) - (i); (Q) - (ii); (R) - (iii); (S) - (iv)
b.
(P) - (iv); (Q) - (iii); (R) - (ii); (S) - (i)
c.
(P) - (iii); (Q) - (i); (R) - (iv); (S) - (ii)
d.
(P) - (ii); (Q) - (iii); (R) - (i); (S) - (iv)
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The analysis of a water sample is shown in the table. The hardness of the water sample is ______ mg/L as CaCO 3. Atomic weight (g/mol): Ca = 40; Mg = 24; Na = 23; Cl = 35.5; S = 32; O = 16; N = 14
Species Concentration (mg/L)
a.
87.5
b.
62.5
c.
25.5
d.
47.5
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A system of linear equations is given as $AX$ = $B,$
2 where 7 5 and is the solution vector.
$A$ = [ ], $B$ = [ ], $X$
5 3 -2 Which of the following statements is/are TRUE for this system?
a.
Matrix $A$ is skew-symmetric.
b.
Eigenvalues of matrix $A$ are real.
c.
The system is homogeneous.
d.
The system is singular.
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Which of the following statements is/are CORRECT based on the electron donor (ED) and electron acceptor (EA) used in various bacterial mediated reactions in wastewater treatment?
a.
In anaerobic heterotrophic acid fermentation, organic compounds are used as both ED and EA.
b.
In anaerobic heterotrophic methanogenesis, volatile fatty acids and CO 2 are used as ED and EA, respectively.
c.
In denitrification process by denitrifiers, organic compounds and CO 2 are used as ED and EA, respectively.
d.
In aerobic autotrophic iron oxidation, Fe(II) and O 2 are used as ED and EA, respectively.
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The sound level measured at various locations in an urban area is given in the table. The average sound level for that area is ______ dBA (rounded off to two decimal places).
Location A B C D
Sound level 40 55 65 75
(dBA)
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Standard deviation for the particulate matter (PM) concentrations listed in the table is ______ µg/m 3 (rounded off to one decimal place). Location No. 1 2 3 4 5 6 7 PM concentration 45 40 55 65 60 35 50 (µg/m 3)
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The mixing ratio of CO 2 at a pressure of 1 atm and at 300K is reported as 340 ppmv. Considering ideal gas conditions, the equivalent concentration of CO 2 in air is ______ mg/m 3 (rounded off to two decimal places). The molecular weight of CO 2 = 44 g/mol Universal gas constant = 8.314 J/mol-K
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Reaction A $$ B follows first-order elementary kinetics and the reaction rate constant for A is 0.01 per min. The time taken to reduce the concentration of A from 100 M to 10 M in a batch reactor is ______min (rounded off to one decimal place).
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The following two reactions describe the chemistry of S(IV) in an aquatic system. Under ideal conditions, the equilibrium constants for reactions (i) and (ii) are 1.3 $\times$ 10 -2 M (K S1) and 6.6 $\times$ 10 -8 M (K S2), respectively. If the pH of the system is 4.0 and the equilibrium concentration of SO is 1.0 M,
2(aq) the equilibrium concentration of SO 2- is ______ mM (rounded off to one decimal
3 place).
$SO 2(aq)$ ⇌ $H$ + + $HSO$ 3- (i)
$HSO$ 3- ⇌ $H$ + + $SO$ 32- (ii)
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The calibration graph between absorbance and the concentration of chromate (CrO 42-) in a water sample is shown in the figure. For an absorbance of 0.35 in a water sample, the estimated Cr(VI) concentration is ______ mg/L (rounded off to two decimal places). Use the atomic weight (g/mol) of Cr and O as 52 and 16, respectively.
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In a batch culture experiment, 2 cells of a microorganism were added to a growth medium. During the experiment, a lag phase of 1 hour was first experienced by the added cells, in which no cell multiplication occurred. Afterwards, cells started multiplying exponentially with a doubling time of 1 hour. After total 8 hours of experiment, the number of cells present in the growth medium was ______ (answer in integer).
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A thermal process, at a specific temperature, results in 2-log 10 removal of non- thermotolerant pathogenic microorganisms from a water sample in 20 min. The time needed to achieve 99.999% removal of these microorganisms under similar condition is ______ min (answer in integer).
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A cylindrical roller gate of diameter 6.0 m and length 10.0 m is placed on a dam to store water behind it, as shown in figure. The magnitude of the resultant force due to water acting on that gate when the water is about to spill is _______ $\times$ 10 6 N (rounded off to two decimal places). Consider acceleration due to gravity (g) = 9.81 m/s 2; density of water (ρ) = 1000 kg/m 3; and π = 3.14.
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The mass curve of a rainfall event of 100 min duration over a catchment is given in the table. If the initial loss is 0.6 cm and $φ-index$ is 0.6 cm/hour, the total surface runoff from the catchment is ______ cm (rounded off to one decimal place).
Time from start of 0 20 40 60 80 100
rainfall (min)
Cumulative rainfall (cm) 0 0.5 1.2 2.6 3.3 3.5
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A well penetrates an unconfined aquifer. The water level (i.e., head) in the well prior to pumping is 25 m. After a long period of pumping at a constant rate of 0.05 m 3 /s, the drawdowns at distances of 50 m and 150 m from the well are observed to be 3 m and 1.2 m, respectively. The hydraulic conductivity of the unconfined aquifer is ______ $\times$ 10 -4 m/s (rounded off to two decimal places). Consider π = 3.14.
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A sewage treatment plant employing activated sludge process is operated under the following conditions: Wastewater flow rate into the aeration tank = 0.150 m 3 /s Soluble BOD 5 in the influent = 84 mg/L Soluble BOD 5 in the effluent = 11 mg/L Mean cell residence time = 5 days Total yield co-efficient = 0.5 kg of MLVSS/kg BOD 5 removed Decay rate of microorganism = 0.050/day The net waste activated sludge produced in the plant is ______ kg of VSS/day (rounded off to two decimal places).
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A continuous flow stirred tank reactor (CSTR) operates under a steady-state condition with a flow rate of 300 L per hour. The influent concentration of a substrate entering the reactor is 150 mg/L. To give a treatment efficiency of 76% for the substrate that decays according to half- order kinetics with a rate constant of 0.05 (mg/L) 1/2 per hour, the required volume of the reactor is ______ m 3 (answer in integer).
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In a stack emission measurement at an industry, the stack cross-sectional area at 30 m height was divided into four equal sectors. The measured velocities and SO 2 concentrations through these sectors at this height are given in the table. The mean SO 2 concentration from the stack is ______ mg/m 3 (rounded off to two decimal places).
Sector
Velocity
2 Concentration
Number
(m/s)
(mg/m
1
15
1000
2
17
1150
3
19
1250
4
21
1275
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An anaerobic digestion system is operated for methane gas generation from organic fraction of municipal solid waste (OFMSW). The moisture content and volatile solids (VS) content of OFMSW are 20% and 90%, respectively. The biodegradable volatile solids (BVS) in the VS is 70%, and the BVS conversion efficiency to methane gas is 85%. If the methane gas generation in the system is 12 m 3 per kg of BVS converted, the total volume of gas produced from one kilogram of OFMSW is _______ m 3 (rounded off to two decimal places).
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The characteristics of two types of solid waste are given in the table. The quantity of sludge to be added to leaves to achieve a C/N ratio of 25 (on dry basis) for the mixed waste is ______ kg of sludge/kg of leaves (rounded off to three decimal places).
Characteristics of the solid waste (weight/weight)
Type of solid
waste
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Moisture Nitrogen Carbon to Nitrogen content (%) content (%) (C/N) ratio Leaves 50 0.7 50 Sludge 75 5.6 6.3 The concentration of chemical A in ambient air is 50 $g/m$ 3 and the toxicological index limit for a threshold health effect for this chemical is 5 mg. If the average breathing rate is 4 L/min, the minimum time of exposure that can lead to any health effect is ______ days (rounded off to one decimal place).
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An agricultural land can support energy crops yield to produce 7000 L of bioethanol per hectare and energy content of bioethanol is 21 MJ/L. This bioethanol displaces fossil-based petrol. The CO 2 offset potential of land used for growing energy crops as a bioethanol feedstock is ______ $\times$ 10 6 g of CO 2 /hectare (rounded off to one decimal place). Consider CO 2 footprints of 10 g and 80 g of CO 2 per MJ for bioethanol and petrol, respectively.
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