The problem provides a ratio between the number of boys and girls and a difference between their numbers. We can use these two pieces of information to set up equations and solve for the actual number of boys and girls, and then find the total class strength.
B) The total class strength is 99.
To find the volume of a cylinder, we use the formula \(V = \pi r^2 h\), where \(r\) is the radius of the base and \(h\) is the height. We are given the diameter, so we first need to calculate the radius from the diameter.
Correct Option: B) 99 cm³
The question asks about a specific committee constituted by the RBI following the Andhra Pradesh microfinance crisis in 2010. This requires knowledge of key committees and their chairpersons related to the Indian financial sector, particularly microfinance.
Correct Option: D) Shri YH Malegam
The problem describes a copper wire divided into three parts with resistances in a given ratio. The wire is connected to a battery, implying that the three parts are in series. For components in series, the current flowing through each component is the same. We need to find the ratio of potential drops across these parts. Ohm's Law states that potential drop (\(V\)) across a resistor is the product of current (\(I\)) and resistance (\(R\)), i.e., \(V = IR\).
Correct Option: C) V₁ : V₂ : V₃ = 2 : 3 : 4
The question asks to identify the figure that has no pair of parallel sides. We need to recall the properties of each given geometric shape and determine which one fits this description.
Correct Option: A) Kite
A kite is a quadrilateral in which two disjoint pairs of adjacent sides are equal in length. Unlike parallelograms (which include rectangles and rhombuses), a kite does not have any parallel sides.
The question asks to identify the government scheme that aims for comprehensive financial inclusion by providing universal access to banking facilities, including basic banking accounts, financial literacy, credit, insurance, and pension facilities to every household in the country. We need to evaluate each option based on its stated objectives.
A) Pradhan Mantri Jan Dhan Yojana (PMJDY) was launched on August 28, 2014, with the objective of ensuring comprehensive financial inclusion of all households in the country. It aims to provide universal access to banking facilities with at least one basic banking account for every household, along with financial literacy, access to credit, insurance, and pension facilities. This directly matches the description provided in the question.
The problem presents an analogy based on a specific logic applied to letter pairs and numbers. We need to decipher this logic from the given pairs and then apply it to the third pair to find the missing related term.
Correct Option: C) OA 28
The question asks to identify the material that offers the least opposition to the flow of electric current. This concept is directly related to electrical resistance and conductivity. Materials are classified based on how easily they allow current to pass through them.
Correct Option: A) A good conductor has less opposition to the flow of current because it has low electrical resistance and allows electrons to move freely.
The given graph provides details of the number of girl students and boy students in four sections of class X of a school. Study the graph and answer the question.
Which section has the maximum percentage of girls of the total students in that section?
To find the section with the maximum percentage of girls, we need to calculate the percentage of girls in each section based on the total number of students in that section.
Percentage of girls = \[\frac{\text{Number of girls}}{\text{Total number of students}} \times 100\]
Total students = 22 (girls) + 18 (boys) = 40
Percentage of girls = \( \frac{22}{40} \times 100 = 55\% \)
Total students = 19 (girls) + 20 (boys) = 39
Percentage of girls = \( \frac{19}{39} \times 100 \approx 48.72\% \)
Total students = 26 (girls) + 14 (boys) = 40
Percentage of girls = \( \frac{26}{40} \times 100 = 65\% \)
Total students = 21 (girls) + 16 (boys) = 37
Percentage of girls = \( \frac{21}{37} \times 100 \approx 56.76\% \)
Comparing these percentages, section 10C has the highest percentage of girls at 65%.
Correct Option: C) 10C
To determine if a number is divisible by a given option, we can use divisibility rules. We will check the divisibility rules for each option (11, 6, 2, 3) against the number 678954321.
A number is divisible by 2 if its last digit is an even number (0, 2, 4, 6, 8).
The last digit of 678954321 is 1, which is an odd number. Therefore, 678954321 is not divisible by 2.
A number is divisible by 3 if the sum of its digits is divisible by 3.
Sum of the digits of 678954321:
\[ 6 + 7 + 8 + 9 + 5 + 4 + 3 + 2 + 1 = 45 \]Since 45 is divisible by 3 (\(45 \div 3 = 15\)), the number 678954321 is divisible by 3.
A number is divisible by 6 if it is divisible by both 2 and 3.
We already found that 678954321 is not divisible by 2. Therefore, it cannot be divisible by 6.
A number is divisible by 11 if the difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11.
For 678954321:
Sum of digits at odd places (starting from the right): \(1 + 3 + 5 + 8 + 6 = 23\)
Sum of digits at even places (starting from the right): \(2 + 4 + 9 + 7 = 22\)
Difference: \(23 - 22 = 1\)
Since the difference is 1, which is neither 0 nor a multiple of 11, the number 678954321 is not divisible by 11.
Based on these checks, only option D (3) is a divisor of 678954321.
D) 3 — The sum of the digits of 678954321 is \(6+7+8+9+5+4+3+2+1 = 45\). Since 45 is divisible by 3, the number 678954321 is divisible by 3.