The question asks for the extended deadline of the PM CARES for Children Scheme as announced in February 2022. This requires knowledge of specific government scheme announcements and their timelines.
Correct Option: B) On February 22, 2022, the Ministry of Women and Child Development extended the PM CARES for Children Scheme till February 28, 2022, to cover eligible children. This was a specific deadline extension for application submission.
A school has four sections i.e. A, B, C, D in Class IX. The result of annual exams and half yearly exams for the students of these four sections is given in the following table. Study the table carefully and answer the question that follows.
| Result | No. of Students | |||
| Section A | Section B | Section C | Section D | |
| Students failed in both exams | 27 | 25 | 23 | 26 |
| Students failed in half-yearly but passed in annual exams | 17 | 15 | 18 | 19 |
| Students passed in half-yearly but failed in annual exams | 6 | 8 | 9 | 7 |
| Students passed in both exams | 62 | 57 | 60 | 59 |
A student is declared pass if he passes in at least one of the two examinations (half-yearly/annual). Which section has the maximum pass percentage?
To find the section with the maximum pass percentage, we need to calculate the total number of students and the number of passed students for each section. A student is declared pass if they pass in at least one of the two examinations (half-yearly/annual). This means students who failed in both exams are considered failed, and all others are passed. The pass percentage is calculated as (Number of Passed Students / Total Number of Students) * 100.
Let's apply these steps to each section:
Comparing the pass percentages:
Section C has the maximum pass percentage.
D) Section C has the maximum pass percentage of approximately \(79.09\%\).
The problem presents a number series, and we need to find the next number in the sequence. To do this, we will analyze the differences between consecutive terms to identify a pattern.
Therefore, the number that replaces the question mark is 78.
A) 78 is the correct answer because it follows the established pattern of increasing differences in the series.
To distribute a total amount in a given ratio, first find the sum of the ratio parts. Then, determine the fraction of the total amount that corresponds to each share by dividing each ratio part by the sum of the ratio parts. Finally, multiply this fraction by the total amount to find the individual share.
Total amount to be distributed = Rs 2,400
Ratio between A and B = 7 : 5
Sum of ratio parts \( = 7 + 5 = 12 \)
B's share corresponds to 5 parts out of the total 12 parts.
Fraction of B's share \( = \frac{5}{12} \)
Multiply the total amount by the fraction representing B's share.
\[ \text{B's share} = \frac{5}{12} \times 2400 \]\[ \text{B's share} = 5 \times \frac{2400}{12} \]\[ \text{B's share} = 5 \times 200 \]\[ \text{B's share} = 1000 \]So, the share of B is Rs 1,000.
Correct Option: D) 1,000
This problem involves calculating simple interest and then finding the total amount (sum) after a certain period. We will use the formula for simple interest to find the interest earned and then add it to the principal amount to get the final sum.
The sum will become Rs 7,192 after 4 years.
Correct Option: D) 7,192
The question asks to identify the award given for excellence in the field of medical services. We need to recall the specific fields associated with each of the given awards.
Correct Option: B) Dhanvantari Award is given for excellence in the field of medical services.
In the given letter-cluster triads, the letter-clusters in a particular triad are related following a certain logic. Study the given triads carefully and from the given options, select the triad that follows the same logic
(ACE : BDF : CEG)
(SUW : TVX : UWY)
(ACF : BDE : CFH)
(KMO : LNP : MOQ)
(QRS : TUV : WXY)
(SUW : TVX : YAC)
The problem asks us to identify the logic connecting the letter-clusters within the given triads and then select an option that follows the same logic. We need to analyze the positional values of the letters in the alphabet.
Correct Option: B) (KMO : LNP : MOQ)
The question asks to identify which option is NOT a source of geothermal energy. Geothermal energy is heat derived from the Earth's interior. We need to evaluate each option based on whether it is a manifestation or source of this internal heat.
C) Biomass is not a source of geothermal energy. It is a renewable energy source derived from organic matter, with its energy originating from the sun.
This problem involves understanding the relationship between heat produced in a resistor, current, resistance, and time, as described by Joule's Law of heating. We need to analyze how the heat produced changes when the current is tripled while resistance and time remain constant.
Recall Joule's Law of Heating: The heat energy (\(H\)) produced in a resistor when a current (\(I\)) flows through it for a time (\(t\)) with resistance (\(R\)) is given by the formula:
\[ H = I^2 R t \]Identify the initial conditions: Let the initial current be \(I_1 = I\), the initial resistance be \(R_1 = R\), and the initial time be \(t_1 = t\). The initial heat produced will be:
\[ H_1 = I^2 R t \]Identify the new conditions: The current is tripled, so the new current is \(I_2 = 3I\). The resistance and time remain unaltered, so \(R_2 = R\) and \(t_2 = t\). The new heat produced will be:
\[ H_2 = (3I)^2 R t \]Simplify the expression for new heat:
\[ H_2 = 9 I^2 R t \]Compare the new heat with the initial heat: We can see that \(H_2 = 9 (I^2 R t)\). Since \(H_1 = I^2 R t\), we can substitute \(H_1\) into the equation for \(H_2\):
\[ H_2 = 9 H_1 \]Conclusion: The heat produced becomes nine times the original heat.
D) Becomes nine times ā As derived from Joule's Law, when the current is tripled, the heat produced, which is proportional to the square of the current, becomes \( (3I)^2 = 9I^2 \), thus nine times the original heat.