The question asks to identify the gland responsible for secreting Adrenaline. This requires knowledge of the human endocrine system and the specific hormones produced by each gland.
B) Adrenal gland — The adrenal glands are endocrine glands that produce a variety of hormones including adrenaline and the steroids aldosterone and cortisol. The adrenal medulla, the inner part of the adrenal gland, is responsible for secreting adrenaline (epinephrine) and noradrenaline (norepinephrine) in response to stress.
To find the correct average, we first need to calculate the original sum of observations using the given incorrect average. Then, we adjust this sum by subtracting the misread value and adding the correct value. Finally, we divide the corrected sum by the total number of observations to get the correct average.
Calculate the initial (incorrect) sum of observations:
The average of 10 observations is 46.
Adjust the sum for the misread observation:
An observation was misread as 42 instead of 142. This means 42 was included in the sum, but 142 should have been included.
Calculate the correct average:
The number of observations remains 10.
A) 56 is the correct average after correcting the misread observation.
This problem involves the concept of work and time, where the total work done is constant. We need to find the individual work rates of men and boys and then use them to calculate the time taken by 20 men to complete the same work.
Let \(M\) be the amount of work a man can do in one day, and \(B\) be the amount of work a boy can do in one day.
From the first condition, 6 men and 8 boys can do a piece of work in 10 days. So, the total work done in one day is:
\[ 6M + 8B = \frac{1}{10} \quad \text{(Equation 1)} \]From the second condition, 26 men and 48 boys can do the same work in 2 days. So, the total work done in one day is:
\[ 26M + 48B = \frac{1}{2} \quad \text{(Equation 2)} \]Now we have a system of two linear equations. We can solve for \(M\) and \(B\). Multiply Equation 1 by 6 to eliminate \(B\):
\[ 6 \times (6M + 8B) = 6 \times \frac{1}{10} \ 36M + 48B = \frac{6}{10} = \frac{3}{5} \quad \text{(Equation 3)} \]Subtract Equation 2 from Equation 3:
\[ (36M + 48B) - (26M + 48B) = \frac{3}{5} - \frac{1}{2} \ 10M = \frac{6 - 5}{10} \ 10M = \frac{1}{10} \ M = \frac{1}{100} \]So, one man can do \(\frac{1}{100}\) of the work in one day.
Substitute the value of \(M\) into Equation 1 to find \(B\):
\[ 6 \left(\frac{1}{100}\right) + 8B = \frac{1}{10} \ \frac{6}{100} + 8B = \frac{1}{10} \ 8B = \frac{1}{10} - \frac{6}{100} \ 8B = \frac{10 - 6}{100} \ 8B = \frac{4}{100} \ 8B = \frac{1}{25} \ B = \frac{1}{200} \]So, one boy can do \(\frac{1}{200}\) of the work in one day.
Now, we need to find the time taken by 20 men to do the same work. Let \(D\) be the number of days. The total work done by 20 men in one day is \(20M\).
\[ 20M = 20 \times \frac{1}{100} = \frac{20}{100} = \frac{1}{5} \]If 20 men can do \(\frac{1}{5}\) of the work in one day, then the total time taken to complete the work is the reciprocal of this rate:
\[ D = \frac{1}{\frac{1}{5}} = 5 \text{ days} \]B) 5 days
This problem involves arranging six people around a circular table based on given conditions. We need to deduce the seating arrangement step-by-step and then determine the position of F with respect to C.
C) Second to the left. As determined in step 6, F is second to the left of C.
The question asks about the electrical nature of an atom. To answer this, we need to recall the basic structure of an atom, which consists of protons, neutrons, and electrons, and their respective charges.
Correct Option: C) Atoms as a whole are electrically neutral.
To find the pressure exerted by the wooden block on the tabletop, we need to calculate the force exerted by the block and the area over which this force is distributed. The force exerted by the block is its weight, and the area is the area of one face of the cubic block.
The force exerted by the block on the tabletop is its weight, which is given by the formula:
\[ F = m \times g \]\[ F = 10 \text{ kg} \times 10 \text{ m/s}^2 \]\[ F = 100 \text{ N} \]Since it's a cubic block, the area of one face (which is in contact with the tabletop) is:
\[ A = s \times s \]\[ A = 2 \text{ m} \times 2 \text{ m} \]\[ A = 4 \text{ m}^2 \]Pressure is defined as force per unit area:
\[ P = \frac{F}{A} \]\[ P = \frac{100 \text{ N}}{4 \text{ m}^2} \]\[ P = 25 \text{ N m}^{-2} \]Correct Option: A) 25 N m⁻²
We are given a 3-digit number where its digits (units, tens, hundreds) are in a specific ratio. We are also given a condition involving the sum of this number and the number formed by reversing its digits. We will use these conditions to form equations and solve for the digits of the number.
Let the units' digit be \(u\), the tens' digit be \(t\), and the hundreds' digit be \(h\).
The problem states that the units' digit, the tens' digit, and the hundreds' digit are in the ratio 1 : 2 : 3. So, we can write:
\[ u : t : h = 1 : 2 : 3 \]This implies that \(u = k\), \(t = 2k\), and \(h = 3k\) for some constant \(k\). Since \(u, t, h\) are digits, they must be integers between 0 and 9 (inclusive), and \(h\) cannot be 0 for a 3-digit number.
The 3-digit number can be represented as \(100h + 10t + u\). Substituting the values in terms of \(k\):
\[ \text{Number} = 100(3k) + 10(2k) + k = 300k + 20k + k = 321k \]The number obtained by writing its digits in reverse order will have \(u\) as the hundreds' digit, \(t\) as the tens' digit, and \(h\) as the units' digit. This number can be represented as \(100u + 10t + h\). Substituting the values in terms of \(k\):
\[ \text{Reversed Number} = 100(k) + 10(2k) + 3k = 100k + 20k + 3k = 123k \]The problem states that the sum of the original number and the reversed number is 1332:
\[ 321k + 123k = 1332 \]Combine the terms with \(k\):
\[ 444k = 1332 \]Solve for \(k\):
\[ k = \frac{1332}{444} \]\[ k = 3 \]Now, substitute the value of \(k\) back into the expressions for the digits:
The original 3-digit number is \(100h + 10t + u = 100(9) + 10(6) + 3 = 900 + 60 + 3 = 963\).
Let's verify the conditions:
C) 963 is the number that satisfies all the given conditions.
The question asks to identify the winner of the 10th season of the Pro Kabaddi League. This requires knowledge of recent sports event outcomes, specifically in the Pro Kabaddi League.
C) Puneri Paltan — Puneri Paltan won the 10th season of the Pro Kabaddi League by defeating Haryana Steelers in the final.
To determine the unit of acceleration, we need to recall its definition and the units of the quantities involved in its calculation. Acceleration is defined as the rate of change of velocity with respect to time.
Correct Option: C) m/s²