Boni, Soni, Moni, Goni, and Joni are five siblings. Each of them is 2 years older than his next younger brother. The oldest brother, Joni, is twice the age of the youngest brother, Boni. What is Moni's age?
A rectangular sheet of paper measuring 54 cm × 4 cm is taken. The two longer sides of the sheet are brought together to form a cylindrical tube. Additionally, a cube is taken whose surface area matches that of the sheet.
Then, what is the ratio of the volume of the cylindrical tube to the volume of the cube?
Ishaant prepared for a cross-country competition.
On Monday, he covered a specific distance.
On Tuesday, he ran twice the distance he covered on Monday.
On Wednesday, he ran half the distance he covered on Tuesday.
On Thursday, he ran half of what he ran on Wednesday.
On Friday, he ran double the distance he ran on Thursday.
If the shortest distance he ran on any of the five days is 5 km, what was the total distance he ran?
A football team participated in three matches. Each match concluded with a win, loss, or draw. (A match is considered a draw if both teams score the same amount of goals.) Overall, the team netted more goals than those scored against them. Which of the following outcome combinations is impossible for this team?
Nimisha is located in room 1401. She contacts Mansi and asks, “Which room are you currently in?” Mansi responds: “The difference between the room number I’m in and the room number you’re in is 100 times the nth prime number, where n is the smallest integer that has six positive factors.” In which room is Mansi situated? (For clarity, if n = a * b, then a and b are considered factors of n. The positive factors of 6 are 1, 2, 3, and 6).
An instance of forced convection is represented by ________.
Which of the following statements accurately describes membrane potential?
An immunoglobulin's heavy chain results from the recombination of one DNA segment from 200 distinct V segments, 12 D segments, and 4 J segments from the respective DNA sequence. In addition, a light chain is produced by the recombination of one segment from 200 various V segments and 5 different J segments. When a heavy chain combines with a light chain to create an immunoglobulin, what is the maximum number of unique immunoglobulins that can be generated?
What is the degree of similarity between two sequences that are separated by 30 PAM (i.e., using the PAM30 matrix for estimation)?
Determine the mass transfer coefficient in the gas phase for the removal of unbound moisture if the flux is 5 kg/sq.m sec and the difference in humidity between the liquid and the main stream is 0.5 units.
A fair coin is flipped 10 times. What is the probability that heads will appear only in the first two flips?
Sequences of amino acids from cytochrome c and ribulose 5-phosphate epimerase were selected from 40 different organisms, and phylogenetic trees were constructed for each of these two protein families.
Assess the validity of the following Assertion [a] and Reason [r].
Assertion [a]: The two resulting trees will not be the same.
Reason [r]: The mutation types and their frequencies differ between the two families.
What is the degree of the differential equation illustrated below?
What is the value of the largest eigenvalue of the matrix ?
A variable Y depends on t. It is given that Y (t = 0) = 1 and Y (t = 1) = 2. The approximation of Y within the interval t = [0, 1] can be expressed as ______________.
Which of the following biophysical methods is not utilized for the analysis of protein structures?
Which equation represents the connection between μ and the substrate that limits residual growth?
Every single nerve cell exhibits a resting membrane potential averaging at –70 mv. A minimal threshold is essential to trigger an action potential. A synapse is observed where several neurons stimulate a single neuron, resulting in a post-synaptic potential of –10 mv. In this scenario, which of the following statements is accurate?
T-cells exhibit self MHC restriction. Both CD4 and CD8 T-cells are capable of recognizing an antigen exclusively when it is displayed within the groove of an MHC molecule. In a specific experiment, guinea pig macrophages from strain 2 were first treated with an antigen. After these antigen-pulsed macrophages processed the antigen and exhibited it on their surface, they were combined with T-cells derived from the same strain (strain 2), a different strain (strain 13), or their F1 hybrid offspring (2 × 13), and the extent of T-cell proliferation in response to the antigen-pulsed macrophages was assessed.
P. Macrophages from strain 2 that were pulsed with antigen stimulated T-cells from both strain 2 and F1 mice.
Q. Antigen-pulsed macrophages from strain 13 activated T-cells from strain 2 and F1 mice.
R. Macrophages from both strain 2 and strain 13 that were pulsed with antigen activated T-cells from the F1 mice.
S. T-cells from F1 mice were activated solely by antigen-pulsed macrophages from strain 2.
The Fourier law of thermal conduction is most accurately conveyed by
In modeling processes, what do experimental observations contribute?
Examine the following methods along with their respective uses:
Select the options that are accurately matched.
Assess the validity of the following Assertion [a] and Reason [r].
Assertion [a]: Embryonic stem cells are appropriate for creating knockout mice.
Reason [r]: The frequency of homologous recombination is greater in embryonic stem cells compared to somatic cells.
Pair the items from Column I with their appropriate uses listed in Column II.
Connect the elements in Column I with the relevant methods in Column II.
Which of the following statement(s) is(are) ACCURATE concerning the lac operon in E. coli when it is cultured in an environment containing both glucose and lactose?
A bacterial strain is grown in nutrient medium at 37 ˚C under aerobic conditions. The medium is inoculated with 102 cells from a seed culture. If the number of cells in the culture is 105 after 10 hours of growth, the doubling time of the strain (rounded off to nearest integer) is ____________h.
In a cell, the concentrations of ATP, ADP, and inorganic phosphate are measured at 2.59, 0.73, and 2.72 mM, respectively. Given these values, the free energy change associated with the synthesis of ATP at 37 °C is ____ kJ/mol (rounded to two decimal places).
Given: the free energy change for the hydrolysis of ATP under standard conditions is -30.5 kJ/mol and R = 8.315 kJ/mol.K
A fermentation medium is cooled from 121 °C to 30 °C using a double pipe heat exchanger. If cold water flows in the opposite direction and is warmed from 10 °C to 70 °C, what is the Log-Mean Temperature Difference (LMTD) in °C (rounded to the nearest integer)?