The question asks to identify the Indian state where a health clinic focusing on the physical and mental well-being of students was inaugurated in a government school in March 2022, as part of a project to set up health clinics in schools.
Correct Option: C) Delhi
In March 2022, the Delhi government inaugurated a health clinic at a government school. This was part of a project to establish 20 such clinics in schools across the city, focusing on both the physical and mental well-being of students. This initiative was a collaboration between the Delhi government and the Salaam Namaste NGO.
To find the Least Common Multiple (LCM) of two numbers, we can use the prime factorization method. This involves finding the prime factors of each number and then multiplying the highest powers of all common and uncommon prime factors.
Correct Option: C) 930
Given below are two letter-cluster pairs in which the second letter-cluster is related to the first letter-cluster following a certain logic. Select the letter-cluster pair from among the options that follows the same logic.
CPO : OPC
TIM : MIT
The problem asks us to identify the logic connecting the first letter-cluster to the second letter-cluster in the given pairs. Once the logic is found, we need to apply the same logic to the first letter-cluster of the options to find the correct second letter-cluster.
The logic is that if the first letter-cluster is XYZ, the second letter-cluster will be ZYX. The first and third letters swap positions, while the middle letter remains in its position.
Correct Option: A) UQK : KQU
This option correctly follows the established logic where the first and third letters swap positions.
Which Five-Year Plan emphasised the setting up of Basic and Heavy Industries so as to establish a strong base for rapid industrialisation, self-reliance, and technological development?
Third Five-Year Plan
First Five-Year Plan
Fourth Five-Year Plan
Second Five-Year Plan
The question asks to identify the Five-Year Plan that prioritized the establishment of Basic and Heavy Industries to foster rapid industrialization, self-reliance, and technological development in India. This requires knowledge of the objectives and focus areas of India's early Five-Year Plans.
Correct Option: D) Second Five-Year Plan
The question asks for the ideal waste disposal method for metal. We need to evaluate each option in the context of metal waste management.
B) Recycling is the ideal waste disposal method for metal. Metals can be melted down and reformed into new products multiple times without significant degradation, making recycling an efficient way to conserve resources, save energy, and reduce pollution.
This problem involves compound interest. A key property of compound interest is that if a sum of money multiplies by a certain factor in a given period, it will multiply by the same factor again in the same period. We can use this property or the compound interest formula to solve the problem.
B) 20 years. Both methods confirm that the sum will amount to 9 times itself in 20 years.
Vishnu scored X runs in his 10th innings. After scoring those runs, his average per innings increased by 8 runs. If the new average is 28, then find the value of X.
We are given information about Vishnu's batting average before and after his 10th innings. We need to find the runs scored in the 10th innings. We can use the formula for average (Total Runs / Number of Innings) and set up equations based on the given conditions.
Let the average runs per innings before the 10th innings be \(A\).
The number of innings before the 10th innings is 9.
The total runs scored in 9 innings would be \(9 \times A\).
In the 10th innings, Vishnu scored X runs.
After the 10th innings, the total number of innings is 10.
The total runs scored after the 10th innings is \(9A + X\).
The new average after the 10th innings is given as 28.
So, we can write the equation for the new average:
\[ \frac{9A + X}{10} = 28 \]From this, we can find the total runs after 10 innings:
\[ 9A + X = 28 \times 10 \]\[ 9A + X = 280 \quad \text{(Equation 1)} \]We are also given that his average per innings increased by 8 runs after scoring X runs. This means the new average (28) is 8 more than the old average (A).
\[ A + 8 = 28 \]Solve for A (the old average):
\[ A = 28 - 8 \]\[ A = 20 \]Now substitute the value of A into Equation 1:
\[ 9(20) + X = 280 \]\[ 180 + X = 280 \]Solve for X:
\[ X = 280 - 180 \]\[ X = 100 \]D) 100 — The value of X, the runs scored in the 10th innings, is 100.
We are given two numbers whose sum is 205. We are also given a condition relating these numbers after one is reduced by 5% and the other is increased by 10%. We will set up a system of two linear equations based on these conditions and solve for the two numbers. Finally, we will identify the smaller of the two numbers.
Let the two numbers be \(x\) and \(y\).
From the first condition, the sum of the two numbers is 205:
\[ x + y = 205 \quad \text{(Equation 1)} \]From the second condition, one number is reduced by 5% and the other is increased by 10%, and the resulting numbers are equal.
So, we can write the second equation as:
\[ 0.95x = 1.10y \quad \text{(Equation 2)} \]Now we have a system of two linear equations:
From Equation 2, we can express \(x\) in terms of \(y\):
\[ x = \frac{1.10}{0.95}y = \frac{110}{95}y = \frac{22}{19}y \]Substitute this expression for \(x\) into Equation 1:
\[ \frac{22}{19}y + y = 205 \] \[ \frac{22y + 19y}{19} = 205 \] \[ \frac{41y}{19} = 205 \]Solve for \(y\):
\[ y = \frac{205 \times 19}{41} \]Since \(205 = 5 \times 41\):
\[ y = 5 \times 19 \] \[ y = 95 \]Now, substitute the value of \(y\) back into Equation 1 to find \(x\):
\[ x + 95 = 205 \] \[ x = 205 - 95 \] \[ x = 110 \]The two numbers are 110 and 95. We need to find the smaller of the two initial numbers.
Comparing 110 and 95, the smaller number is 95.
A) 95 is the smaller of the two initial numbers.
The symbol for resistance (R) is denoted with ________
The question asks for the symbol representing electrical resistance, denoted as \(R\). Understanding standard electrical symbols is essential for circuit analysis.
Correct Option: C) The zigzag line represents resistance.
The problem asks us to identify the tenth element from the left in a given series after removing all numbers. We need to first filter out the numbers from the original series and then count the elements from the left to find the tenth one.
Therefore, 'L' is the tenth element from the left after removing all numbers.
B) L — As determined in the step-by-step analysis, 'L' is the tenth element from the left after all numbers are dropped from the series.
