The question asks for the year Bandhan Bank was formed. This is a factual question related to the history of a prominent Indian bank. To answer correctly, one needs to recall the establishment year of Bandhan Bank.
Therefore, the year Bandhan Bank was formed (i.e., commenced operations as a bank) is 2015.
A) 2015 is the correct answer because Bandhan Bank officially began its operations as a universal bank on August 23, 2015.
This is a linear arrangement puzzle where seven boxes are stacked one above the other. We need to deduce the exact position of each box based on the given clues and then determine the number of boxes between D and A.
Identify the total number of boxes and fixed positions: There are seven boxes. We can number the positions from bottom (1) to top (7).
Positions:
7 (Top)
6
5
4
3
2
1 (Bottom)
Place boxes with definite positions:
Current arrangement:
7: E
6:
5: A
4:
3:
2:
1: B
Use relative positioning clues:
Current arrangement:
7: E
6:
5: A
4: G
3:
2:
1: B
Place the remaining boxes using the last clues:
The remaining empty positions are 2, 3, and 6. The boxes left are C, D, and F.
Final arrangement:
7: E
6: C
5: A
4: G
3: F
2: D
1: B
Answer the question: "How many boxes are kept between D and A?"
D is at position 2.
A is at position 5.
The boxes between D and A are F (position 3) and G (position 4).
There are two boxes between D and A.
D) Two. The boxes F and G are kept between D and A.
The question asks to identify which feature of Panchayats is related to Article 243E of the Indian Constitution. To answer this, one needs to recall the specific provisions of Article 243E within Part IX of the Constitution, which deals with Panchayats.
Correct Option: D) Article 243E explicitly deals with the duration of Panchayats, specifying a five-year term and provisions for dissolution and re-election.
To find the average weight of the entire group, we need to calculate the weighted average of the weights of men, women, and children. The percentages of each group will serve as their respective weights in the average calculation.
The total percentage of the group is 100%. Given that 40% are men and 35% are women, the percentage of children can be calculated as:
\[ \text{Percentage of children} = 100\% - (\text{Percentage of men} + \text{Percentage of women}) \]\[ \text{Percentage of children} = 100\% - (40\% + 35\%) \]\[ \text{Percentage of children} = 100\% - 75\% = 25\% \]The formula for the weighted average is:
\[ \text{Average weight} = \frac{(\text{Percentage of men} \times \text{Weight of men}) + (\text{Percentage of women} \times \text{Weight of women}) + (\text{Percentage of children} \times \text{Weight of children})}{100\%} \]Now, plug these values into the formula:
\[ \text{Average weight} = \frac{(40 \times 70) + (35 \times 60) + (25 \times 30)}{100} \]\[ \text{Average weight} = \frac{2800 + 2100 + 750}{100} \]\[ \text{Average weight} = \frac{5650}{100} \]\[ \text{Average weight} = 56.5 \text{ kg} \]D) 56.5 kg is the correct average weight of the group, calculated by taking the weighted average of the individual group weights.
This is a syllogism problem. We need to analyze the given statements and determine which conclusions logically follow. We can use Venn diagrams or direct logical deduction to solve this.
Since both Conclusion I and Conclusion II logically follow from the given statements, the correct option is D.
Correct Option: D) Both conclusions I and II follow
To solve this problem, we need to identify numbers in the given series that fit a specific pattern: an even number that is immediately preceded by an odd number and immediately followed by a prime number. We will systematically scan the series, checking each number against these three conditions.
2 6 7 4 9 3 6 5 1 9 5 2 4 5 9 4 2 3 7 1
A) 3
The question asks to identify the chemical reaction representing the chlor-alkali process. This process is an industrial method for producing chlorine and sodium hydroxide from brine (a concentrated solution of sodium chloride).
C) \(2\text{NaCl} \text{ (aq)} + 2\text{H}_2\text{O} \text{ (l)} \rightarrow 2\text{NaOH} \text{ (aq)} + \text{Cl}_2 \text{ (g)} + \text{H}_2 \text{ (g)}\)
This equation correctly represents the electrolysis of aqueous sodium chloride (brine) to produce sodium hydroxide, chlorine gas, and hydrogen gas, which is the definition of the chlor-alkali process.
This problem involves applying a set of given symbol transformations to a mathematical expression and then evaluating the new expression following the order of operations (BODMAS/PEMDAS).
The given equation is: \(9 \times 8 + 4 - 8 \div 5 = ?\)
Applying the transformations:
The new equation becomes: \(9 + 8 \div 4 \times 8 - 5 = ?\)
According to the order of operations (Brackets, Orders/Exponents, Division, Multiplication, Addition, Subtraction):
First, perform Division:
\[ 9 + (8 \div 4) \times 8 - 5 \] \[ 9 + 2 \times 8 - 5 \]Next, perform Multiplication:
\[ 9 + (2 \times 8) - 5 \] \[ 9 + 16 - 5 \]Then, perform Addition:
\[ (9 + 16) - 5 \] \[ 25 - 5 \]Finally, perform Subtraction:
\[ 25 - 5 = 20 \]Correct Option: C) 20
To find the power of a lens, we use the formula relating power and focal length. It's crucial to remember that for a diverging lens, the focal length is negative, and the focal length must be expressed in meters for the power to be in diopters.
Correct Option: B) -2 D
The question asks for the year when the joint venture between the Government of India and Suzuki Motor Corporation was signed to launch the Maruti 800. This is a factual question related to the history of the Indian automotive industry.
D) 1982 — The joint venture agreement between the Government of India and Suzuki Motor Corporation was signed in 1982, leading to the establishment of Maruti Udyog Limited and the subsequent launch of the Maruti 800.