# Recent questions tagged gate2012

1
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y = 2x -0.1x^2$ where $y$ is the height of the arch in meters. The maximum possible height of the arch is 8 meters 10 meters 12 meters 14 meters
2
An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y$. $X$ supplies $60\%$ and $Y$ supplies $40 \%$ of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of $X's$ ... a randomly chosen shock absorber, which is found to be reliable, is made by $Y$ is $0.288$ $0.334$ $0.667$ $0.720$
3
Which of the following assertions are CORRECT? P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged P, Q Q, R P, R R, S
4
Given the sequence of terms, AD CG FK JP, the next term is OV OW PV PW
5
Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass, must be available for Day, Evening and Saturday work. Transportation paid, ... the best inference from the above advertisement? Gender-discriminatory Xenophobic Not designed to make the post attractive Not gender-discriminatory
6
Choose the grammatically INCORRECT sentence: They gave us the money back less the service charges of Three Hundred rupees This country’s expenditure is not less than that of Bangladesh The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum This country’s expenditure on educational reforms is very less
7
Choose the most appropriate alternative from the options given below to complete the following sentence: $\text{Despite several ________ the mission succeeded in its attempt to resolve the conflict.}$ attempts setbacks meetings delegations
8
Which one of the following options is the closest in meaning to the word given below? Mitigate Diminish Divulge Dedicate Denote
9
Answer the question based on the information given below: The purification data for an enzyme is given below: ... $\text{P-3.4, Q-2.4, R-1.5, S-0.1}$ $\text{P-100, Q-71, R-44, S-29}$
10
Answer the question based on the information given below: The purification data for an enzyme is given below: ... $P-1, Q- 6.6, R-8.4, S- 12.6$ $P-100, Q- 66 , R-84, S- 12$
11
$\text{Statement for Linked Answer Questions 52 and 53:}$ An E $coli$ cell of volume $10^{-12}$ $cm^3$ contains 60 molecules of lac-repressor. The repressor has a binding affinity (${K_d}$) of $10^{-8}$ M and $10^{-9}$ M with and without lactose respectively, in the medium The molar concentration of the repressor in the cell 15 $\text{0.1 nM}$ $\text{1 nM}$ $\text{10 nM}$ $\text{100 nM}$
12
Choose the most appropriate alternative from the options given below to complete the following sentence: $\text{Suresh’s dog is the one$\_\_\_\_\_\_\_$was hurt in the stampede}$. that which who whom
13
$\beta$-Galactosidase bound to DEAE-cellulose is used to hydrolyze lactose to glucose and galactose in a plug flow bioreactor with a packed bed of volume $100$ liters and a voidage ($\epsilon$) of $0.55$. The $K'_m$ and $V'_m$; for the immobilized enzyme are $0.72 \: gl^{-1}$ ... time required for the steady state reactor operation will be $0.1 \: h$ $0.4 \: h$ $1.0 \: h$ $1.1 \: h$
14
$\beta$-Galactosidase bound to DEAE-cellulose is used to hydrolyze lactose to glucose and galactose in a plug flow bioreactor with a packed bed of volume $100$ liters and a voidage ($\epsilon$) of $0.55$. The $K'_m$ and $V'_m$; for the immobilized enzyme are $0.72 \: gl^{-1}$ ... for the above bioconversion will be $50 \: lh^{-1}$ $55 \: lh^{-1}$ $137 \: lh^{-1}$ $550 \: lh^{-1}$
15
The cost function for a product in a firm is given by $5q^2$, where q is the amount of production. The firm can sell the product at a market price of ₹ 50 per unit. The number of units to be produced by the firm such that the profit is maximized is $5$ $10$ $15$ $25$
16
$\text{Statement for Linked Answer Questions 52 and 53:}$ An E $coli$ cell of volume $10^{-12}$ $cm^3$ contains 60 molecules of lac-repressor. The repressor has a binding affinity (${K_d}$) of $10^{-8}$ M and $10^{-9}$ M ... lac-operon is repressed and can only be induced with lactose repressed and cannot be induced with lactose not repressed expressed only when glucose and lactose are present
17
An enzymatic reaction is described by the following rate expression. $v = \frac{v_mS}{K_m+S+S^2/K_s},$ Which one of the following curves represents this expression?
18
A bacterial culture ($200 \: \mu l$ containing $1.8 \times 10^9$ cells) was treated with an antibiotic $Z$ ($50 \: \mu g$ per $ml$) for $4$ h at $37^\circ C$. After this treatment, the culture was divided into two equal ... colonies, whereas the Set B plate showed $0.9 \times 10^9$ cells. This experiment showed that the antibiotic $Z$ is bacteriostatic bacteriocidal bacteriolytic apoptotic
19
Consider the data set $14, 18, 14, 14, 10, 29, 33, 31, 25$. If you add $20$ to each of the values, then both mean and variance change both mean and variance are unchanged the mean is unchanged, variance changes the mean changes, the variance is unchanged
20
$\text{Common Data Questions}$ $\text{Common Data for Questions 48 and 49}$: In a muscle, the extracellular and intracellular concentrations of ${Na^+}$ are $\text{150 mM}$ and $\text{12 mM}$, and those of ${K^+}$ are $\text{2.7 mM}$ and $\text{140 mM}$, respectively. Assume that the ... into the cell is $\text{+8.0 kJ/mol}$ $\text{+11.6 kJ/mol}$ $\text{+19.6 kJ/mol}$ $\text{+31.2 kJ/mol}$
21
Match the high energy compounds in $\text{Group I}$ with the biosynhetic pathways for the molecules in $\text{Group II}$ ... $\text{P-2, Q-4, R-3, S-1}$ $\text{P-4, Q-3, R-1, S-2}$ $\text{P-3, Q-4, R-2, S-1}$
22
Match the vitamins in $\text{Group I}$ with the processes/reactions in $\text{Group II}$ ... $\text{P-4, Q-1, R-3, S-2}$ $\text{P-4, Q-2, R-1, S-3}$ $\text{P-2, Q-1, R-3, S-5}$
23
In a muscle, the extracellular and intracellular concentrations of ${Na^+}$ are $150 \text{ mM}$ and $12 \text{ mM}$, and those of ${K^+}$ are $2.7 \text{ mM}$ and $140 \text{ mM}$, respectively. Assume that the temperature is ${25^\circ C}$ ... of the cell is $+1.5 \text{ kJ/mol}$ $+17.4\text{ kJ/mol}$ $+18.9 \text{ kJ/mol}$ $+36.3 \text{ kJ/mol}$
24
Match the organisms in Group I with the entries in Group II. ... $\text{P-2, Q-1, R-5, S-4}$ $\text{P-5, Q-4, R-2, S-3}$ $\text{P-3, Q-2, R-1, S-4}$
25
Match the downstream processes in $\text{Group I}$ with the products in $\text{Group II}$ ... $\text{P-4, Q-1, R-3, S-2}$ $\text{P-2, Q-4, R-1, S-3}$
26
Match the entries in $\text{Group I}$ with the process parameters in $\text{Group II}$ ... $\text{P_4, Q-2, R-3, S-1}$ $\text{P-2, Q-4, R-1, S-3}$ $\text{P-2, Q-1, R-4, S-3}$
27
A disease is inherited by a child with a probability of $1/4$. In a family with two children, the probability that exactly one sibling is affected by this disease is $1/4$ $3/8$ $7/16$ $9/16$
28
Determine the correctness or otherwise of the following $Assertion$ (a) and $Reason$ (r). $Assertion:$ Cell mass yield of a methylotrophic yeast is more on methanol compared to glucose. $Reason:$ Methanol has a greater degree of reductance compared to glucose. Both (a) and (r) are correct ... false (a) is false, (r) is correct Both (a) and (r) are correct but (r) is not the correct reason for (a)
29
Determine the correctness or otherwise of the following $Assertion$ (a) and $Reason$ (r). $Assertion:$ In direct somatic embryogenesis, embryos are developed without going through callus formation. $Reason:$ This is possible due to the presence of pre-embryonically determined cells. Both (a) and (r) ... (a) is true but (r) is false Both (a) and (r) are true and (r) is the correct reason for (a)
30
Determine the correctness or otherwise of the following $Assertion$ (a) and $Reason$ (r). $Assertion:$ Plants convert fatty' acids into glucose. $Reason:$ Plants have peroxisomes. Both (a) and (r) are true and (r) is not the correct reason for (a) Both (a) and (r) are true and (r) is the correct reason for (a) (a) is true but (r) is false (a) is false but (r) is true
31
Match the entries in $\text{Group I}$ with the methods of sterilization in $\text{Group II}$ ... $\text{P-1, Q-4, R-5, S-3}$ $\text{P-2, Q-1, R-4, S-3}$ $\text{P-4, Q-1, R-3, S-5}$
32
Match the entries in $\textbf{Group I}$ with those in $\textbf{Group II}$ ... $\text{P-2, Q-4, R-1,S-3}$ $\text{P-2, Q-3, R-4, S-1}$ $\text{P-4, Q-2, R-1, S-3}$
33
Match the terms in $\textbf{Group I}$ with the ploidy in $\textbf{Group II}$ ... $\text{P-4, Q-3, R-1, S-2}$ $\text{P-2, Q-3, R-4, S-1}$ $\text{P-l, Q-4, R-3, S-2}$
34
Match the products in $\text{Group I}$ with the applications in $\text{Group II}$ ... $\text{P-3, Q-2, R-1, S-4}$ $\text{P-3, Q-4, R-1, S-2}$ $\text{P-2, Q-3, R-1, S-4}$
35
What is the rank of the following matrix? $\begin{bmatrix}5 & 3 & -1\\ 6 & 2 & -4 \\14 & 10 & 0 \end{bmatrix}$ $0$ $1$ $2$ $3$
36
Determine the correctness or otherwise of the following $Assertion$ (a) and $Reason$ (r). $Assertion:$ The production of secondary metabolites in plant cell cultures is enhanced by the addition of elicitors. $Reason:$ Elicitors induce the expression of enzymes responsible for the biosynthesis of secondary ... ) is the correct reason for (a) (a) is true but (r) is false (a) is false but (r) is true
37
A single base pair of DNA weighs $1.1 \times 10^{-21}$ grams. How many picomoles of a plasmid vector of length $2750$ bp are contained in 1 $\mu$g of purified DNA? $0.30$ $0.55$ $0.25$ $0.91$
In an exponentially growing batch culture of $\text{Saccharormyces cerevisiae}$, the cell density is 20 ${gl^{-1}}$ (DCW), the specific growth rate ($\mu$) is 0.4 ${h^{-1}}$ and substrate uptake rate (v) 1s 16 $gl^{-1}h^{-1}$. The cell yield coefficient $Y_{x/9}$, will be 0.32 0.64 0.80 0.50
The molarity of water in a water : ethanol mixture ($15 : 85$, v/v) is approximately $0.85$ $5.55$ $8.5$ $55.5$