This question tests knowledge about the digestive enzymes secreted by different glands in the human body. Specifically, it asks about the enzyme produced by the salivary glands.
Correct Option: A) amylase
The question asks to identify the country of origin of the famous football player Maradona. This is a general knowledge question about a well-known sports personality.
Diego Maradona was an Argentine professional football player and manager. Widely regarded as one of the greatest players of all time, he was one of the two joint winners of the FIFA Player of the 20th Century award. He played for various clubs, including Boca Juniors, Barcelona, and Napoli, and captained the Argentine national team to victory in the 1986 FIFA World Cup.
Therefore, Maradona belongs to Argentina.
Correct Option: C) Argentina
The average salary of male employees in a firm is ₹ 5,200 and that of females is ₹ 4,200. The mean salary of all the employees is ₹ 5,000. The percentage of male employees in that firm is:
This problem can be solved using the concept of weighted average or by applying the alligation method. We are given the average salary of male employees, female employees, and the overall average salary of all employees. We need to find the percentage of male employees.
Let \(M\) be the number of male employees.
Let \(F\) be the number of female employees.
Average salary of male employees \(A_M = \text{₹ } 5,200\).
Average salary of female employees \(A_F = \text{₹ } 4,200\).
Mean salary of all employees \(A_{Total} = \text{₹ } 5,000\).
The total salary of all employees is the sum of the total salary of male employees and the total salary of female employees. The mean salary of all employees is the total salary divided by the total number of employees.
\[ A_{Total} = \frac{(M \times A_M) + (F \times A_F)}{M + F} \]The ratio \(M:F = 4:1\) means that for every 4 male employees, there is 1 female employee. The total number of parts is \(4 + 1 = 5\).
Percentage of male employees \[= \frac{\text{Number of male employees}}{\text{Total number of employees}} \times 100\]
\[ \text{Percentage of male employees} = \frac{M}{M + F} \times 100 \]\[ \text{Percentage of male employees} = \frac{4}{4 + 1} \times 100 \]\[ \text{Percentage of male employees} = \frac{4}{5} \times 100 \]\[ \text{Percentage of male employees} = 0.8 \times 100 \]\[ \text{Percentage of male employees} = 80\% \]D) 80% is the correct answer, as calculated from the weighted average formula.
The problem presents a coding pattern where letters are converted into numbers. We need to identify the rule used to code "NOT" as "141520" and then apply the same rule to find the code for "EMBLEM".
Correct Option: D) 513212513 is the code for EMBLEM, derived by replacing each letter with its alphabetical position and concatenating the numbers.
The question asks to identify the winner of the 2017 World Rapid Chess Championship from the given options. This is a factual recall question related to significant events in the sport of chess.
The 2017 World Rapid Chess Championship was held in Riyadh, Saudi Arabia. Indian Grandmaster Viswanathan Anand won the title, defeating Vladimir Fedoseev in a tie-break playoff.
B) Viswanathan Anand — Viswanathan Anand, an Indian chess Grandmaster and former World Champion, won the 2017 World Rapid Chess Championship. This was a significant achievement as he was considered an underdog at the time.
To find the kinetic energy of an object, we use the formula for kinetic energy, which depends on the object's mass and velocity. We will substitute the given values into this formula and calculate the result, ensuring the correct units are used.
Kinetic energy (\(KE\)) is given by the formula:
\[ KE = \frac{1}{2}mv^2 \]Substitute \(m = 30 \text{ kg}\) and \(v = 5 \text{ ms}^{-1}\) into the kinetic energy formula:
\[ KE = \frac{1}{2} \times (30 \text{ kg}) \times (5 \text{ ms}^{-1})^2 \]The unit \(\text{kg m}^2\text{s}^{-2}\) is equivalent to Joules (\(\text{J}\)), which is the standard unit for energy.
\[ KE = 375 \text{ J} \]Correct Option: C) 375 J
0.02\(\overline{36}\), written as a vulgar fraction in its simplest form, is equal to:
\(\frac{13}{550}\)
\(\frac{13}{3300}\)
\(\frac{13}{1100}\)
\(\frac{13}{9999}\)
To convert a recurring decimal into a vulgar fraction, we follow a standard algebraic method. We set the given decimal equal to a variable, multiply it by powers of 10 to align the repeating part, and then subtract the equations to eliminate the repeating part. Finally, we simplify the resulting fraction.
A) \(\frac{13}{550}\) is the correct simplified vulgar fraction for \(0.02\overline{36}\).
The question asks for the physical quantity obtained by multiplying velocity and time. This requires understanding the definitions of velocity, displacement, distance, speed, and momentum, and their relationships through fundamental physics formulas.
C) displacement — As derived from the definition of velocity, the product of velocity and time yields displacement. Velocity is a vector quantity, and when multiplied by time (a scalar), the result is displacement, which is also a vector quantity.
To determine the present ages of Miku and Mahi, we need to set up a system of equations using the given statements and check if we can find unique values for their ages.
Let Miku's present age be \(M_k\) and Mahi's present age be \(M_h\).
Analyze Statement 1: "Their mean age is 27."
This can be written as an equation:
\[ \frac{M_k + M_h}{2} = 27 \]\[ M_k + M_h = 54 \quad \text{(Equation 1)} \]This equation alone has infinitely many solutions for \(M_k\) and \(M_h\) (e.g., if \(M_k = 20\), \(M_h = 34\); if \(M_k = 25\), \(M_h = 29\), etc.). Therefore, Statement 1 alone is not sufficient.
Analyze Statement 2: "After 15 years, Mahi’s age will be twice that of Miku’s."
After 15 years, Miku's age will be \(M_k + 15\).
After 15 years, Mahi's age will be \(M_h + 15\).
According to the statement:
\[ M_h + 15 = 2(M_k + 15) \]\[ M_h + 15 = 2M_k + 30 \]\[ M_h = 2M_k + 15 \quad \text{(Equation 2)} \]This equation alone also has infinitely many solutions (e.g., if \(M_k = 10\), \(M_h = 35\); if \(M_k = 15\), \(M_h = 45\), etc.). Therefore, Statement 2 alone is not sufficient.
Analyze Statements 1 and 2 together:
We have a system of two linear equations with two variables:
Equation 1: \(M_k + M_h = 54\)
Equation 2: \(M_h = 2M_k + 15\)
Substitute Equation 2 into Equation 1:
\[ M_k + (2M_k + 15) = 54 \]\[ 3M_k + 15 = 54 \]\[ 3M_k = 54 - 15 \]\[ 3M_k = 39 \]\[ M_k = 13 \]Now substitute the value of \(M_k\) back into Equation 1 (or Equation 2):
\[ 13 + M_h = 54 \]\[ M_h = 54 - 13 \]\[ M_h = 41 \]We found unique values for Miku's age (\(M_k = 13\)) and Mahi's age (\(M_h = 41\)). Since we can determine their present ages, both statements together are sufficient.
B) Statements 1 and 2 together are sufficient.
A) Statements 1 and 2 together are not sufficient — This is incorrect because, as shown in the step-by-step analysis, combining both statements allows us to form a system of two independent linear equations with two variables, which yields unique solutions for the ages.
C) Statement 1 alone is sufficient — This is incorrect because Statement 1 provides only one equation (\(M_k + M_h = 54\)) with two unknowns, which has infinitely many solutions. We cannot determine unique ages from this alone.
D) Statement 2 alone is sufficient — This is incorrect because Statement 2 also provides only one equation (\(M_h = 2M_k + 15\)) with two unknowns, which has infinitely many solutions. We cannot determine unique ages from this alone.
This question tests the fundamental relationship between the speed, frequency, and wavelength of a wave. For a wave traveling through a given medium, its speed remains constant. We will use the wave equation to determine how wavelength changes when frequency is doubled.
Correct Option: A) half of the original