To solve this problem, we first need to find the cost price of one lemon. Then, we calculate the cost price of a dozen lemons. Finally, we apply the desired profit percentage to find the selling price of a dozen lemons.
Pankaj buys 10 lemons for Rs. 80.
\[ \text{CP of 1 lemon} = \frac{\text{Total Cost}}{\text{Number of lemons}} = \frac{80}{10} = \text{Rs. } 8 \]A dozen means 12 items.
\[ \text{CP of 1 dozen lemons} = 12 \times \text{CP of 1 lemon} = 12 \times 8 = \text{Rs. } 96 \]The desired profit is 25%.
\[ \text{Profit} = 25\% \text{ of CP} = \frac{25}{100} \times 96 = \frac{1}{4} \times 96 = \text{Rs. } 24 \]Alternatively, the Selling Price can be calculated directly:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \] \[ \text{SP} = 96 \times \left(1 + \frac{25}{100}\right) = 96 \times \left(1 + \frac{1}{4}\right) = 96 \times \frac{5}{4} \] \[ \text{SP} = 24 \times 5 = \text{Rs. } 120 \]So, he should sell a dozen lemons for Rs. 120 to make a profit of 25%.
Correct Option: B) Rs. 120
Richard's car runs 25 kms in one litre of petrol. If petrol costs Rs. 75/litre, then how many kilometers can Richard's car go on Rs. 1,500 of petrol?
To solve this problem, we need to determine the total quantity of petrol Richard can buy with Rs. 1,500, given the cost per litre. Once we know the total litres of petrol, we can calculate the total distance the car can travel using its mileage (kilometers per litre).
Given the total amount of money Richard has is Rs. 1,500 and the cost of petrol is Rs. 75 per litre.
\[ \text{Total Litres of Petrol} = \frac{\text{Total Money}}{\text{Cost per Litre}} \]\[ \text{Total Litres of Petrol} = \frac{1500 \text{ Rs.}}{75 \text{ Rs./litre}} \]\[ \text{Total Litres of Petrol} = 20 \text{ litres} \]Given that Richard's car runs 25 km in one litre of petrol (mileage).
\[ \text{Total Distance} = \text{Total Litres of Petrol} \times \text{Mileage} \]\[ \text{Total Distance} = 20 \text{ litres} \times 25 \text{ km/litre} \]\[ \text{Total Distance} = 500 \text{ km} \]Therefore, Richard's car can go 500 km on Rs. 1,500 worth of petrol.
Correct Option: A) 500 km
This problem involves calculating the displacement from a starting point after a series of movements. Since the movements are at right angles to each other, we can use the Pythagorean theorem to find the straight-line distance from the starting position.
B) 29.00 km is the correct answer. The straight-line distance from the starting position is 29 km, calculated using the Pythagorean theorem.
To determine the best transaction in terms of percentage profit, we need to calculate the percentage profit for each given option. The percentage profit is calculated using the formula:
\[ \text{Percentage Profit} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \% \]We will apply this formula to each option and then compare the results to find the highest percentage profit.
Cost Price = 60, Profit = 32
\[ \text{Percentage Profit}_A = \left( \frac{32}{60} \right) \times 100 \% \]\[ \text{Percentage Profit}_A = \left( \frac{8}{15} \right) \times 100 \% \]\[ \text{Percentage Profit}_A \approx 53.33 \% \]Cost Price = 80, Profit = 44
\[ \text{Percentage Profit}_B = \left( \frac{44}{80} \right) \times 100 \% \]\[ \text{Percentage Profit}_B = \left( \frac{11}{20} \right) \times 100 \% \]\[ \text{Percentage Profit}_B = 55 \% \]Cost Price = 50, Profit = 26
\[ \text{Percentage Profit}_C = \left( \frac{26}{50} \right) \times 100 \% \]\[ \text{Percentage Profit}_C = \left( \frac{13}{25} \right) \times 100 \% \]\[ \text{Percentage Profit}_C = 52 \% \]Cost Price = 70, Profit = 40
\[ \text{Percentage Profit}_D = \left( \frac{40}{70} \right) \times 100 \% \]\[ \text{Percentage Profit}_D = \left( \frac{4}{7} \right) \times 100 \% \]\[ \text{Percentage Profit}_D \approx 57.14 \% \]Comparing these values, Option D has the highest percentage profit.
D) Cost Price = 70, Profit = 40. This transaction yields approximately \(57.14 \%\) profit, which is the highest among all options.
This is a blood relation problem. We need to break down the statement made by Moiz step-by-step, starting from the end of the statement and working backward to identify the relationship between the man in the photo and Moiz.
The statement is: "That man is my mother's only daughter-in-law's son's maternal grandfather's only son."
Let's break it down from the end:
"my mother's only daughter-in-law": Moiz's mother's only daughter-in-law means Moiz's wife (since Moiz has no other sibling other than a sister, his mother would only have one daughter-in-law through Moiz).
"Moiz's wife's son": This refers to Moiz's son.
"Moiz's son's maternal grandfather": The maternal grandfather of Moiz's son would be Moiz's wife's father.
"Moiz's wife's father's only son": This person is Moiz's wife's brother.
Therefore, the man in the photo is Moiz's wife's brother.
A wife's brother is known as a brother-in-law.
D) Brother-in-law — The step-by-step analysis clearly shows that the man in the photo is Moiz's wife's brother, who is Moiz's brother-in-law.
A) Maternal uncle — A maternal uncle is the brother of one's mother. This does not fit the derived relationship.
B) Grandfather — A grandfather is the father of one's mother or father. This does not fit the derived relationship.
C) Paternal Uncle — A paternal uncle is the brother of one's father. This does not fit the derived relationship.
SubQuestion No: 1
In which of the following options, the first person is sitting to the immediate right of the second person?
Priya, Sahil
Aarti, Priya
Sita, Sameer
Sahil, Anil
The question is based on the given passage about eight friends, Rita, Priya, Sita, Aarti, Sahil, Sameer, Biswas and Anil, seated around a circular table facing the centre, along with their marital relationships. This sub-question asks in which pair the first person sits to the immediate right of the second person. We need to fix the complete seating arrangement from the clues and then check each pair.
Identify the given information:
Recall the direction rule:
When people sit around a table facing the centre, moving to a person's left means moving clockwise, and moving to a person's right means moving anticlockwise.
Place Rita, Sameer, Anil and Aarti:
Fix Rita at seat 1 and number the seats clockwise from 1 to 8.
Sameer is third to the right of Rita. Moving three seats anticlockwise from seat 1 gives seat 6.
Sameer is to the immediate left of Anil, so Anil is one seat anticlockwise from Sameer, at seat 5. Anil sits directly opposite Rita, so Anil is Rita's husband.
Aarti is to the immediate right of Rita, so Aarti is at seat 8.
Place Priya and the couples:
Priya sits next to Rita on the other side, at seat 2, with her husband at seat 3.
Sahil is unmarried, so Priya's husband is Biswas, at seat 3.
Sameer's wife must be Sita, the only married woman left. Aarti (seat 8) is to her immediate left, so Sita is at seat 7.
The only seat left, seat 4, goes to Sahil.
Final arrangement (clockwise): Rita (1), Priya (2), Biswas (3), Sahil (4), Anil (5), Sameer (6), Sita (7), Aarti (8).
Check each pair:
Correct Option: D) Sahil, Anil — The clockwise arrangement is Rita, Priya, Biswas, Sahil, Anil, Sameer, Sita, Aarti. One seat anticlockwise from Anil is Sahil, so Sahil sits to the immediate right of Anil. Hence, Option D is the correct answer.
A) Priya, Sahil: This is incorrect because Biswas, not Priya, sits to the immediate right of Sahil.
B) Aarti, Priya: This is incorrect because Rita, not Aarti, sits to the immediate right of Priya.
C) Sita, Sameer: This is incorrect because Anil, not Sita, sits to the immediate right of Sameer.
SubQuestion No: 2
Who is Rita's husband?
The question asks to identify Rita's husband based on a provided family tree or relationship diagram. We need to trace the relationships given in the diagram to find the correct answer.
Correct Option: A) Anil is directly connected to Rita as her spouse in the diagram.
SubQuestion No: 3
Which of the following is TRUE?
Sahil is directly across the table from Aarti
Sameer is the only one sitting between Aarti and Anil
Sahil is second to the left of Aarti
Sita is sitting third to the left of Biswas
This question is based on the given passage describing eight friends (Rita, Priya, Sita, Aarti, Sahil, Sameer, Biswas and Anil) seated around a circular table facing the centre, along with their marital relationships. This sub-question asks which of the given statements is true. We need to fix the complete seating arrangement from the clues and then test each statement against it.
Identify the given information:
Recall the direction rule:
When people sit around a table facing the centre, moving to a person's left means moving clockwise, and moving to a person's right means moving anticlockwise.
Place Rita, Aarti, Sameer and Anil:
Number the seats 1 to 8 clockwise with Rita at seat 1. Aarti is to Rita's immediate right, so Aarti is at seat 8. Sameer is third to the right of Rita, so Sameer is at seat 6. Sameer is to the immediate left of Anil, so Anil is at seat 5, directly opposite Rita. Hence, Anil is Rita's husband.
Place Priya and her husband:
Priya sits next to Rita. Seat 8 is taken by Aarti, so Priya is at seat 2 and her husband is at seat 3.
Place the remaining people:
Aarti (seat 8) is to the immediate left of Sameer's wife, so Sameer's wife is at seat 7. The only woman left is Sita, so Sita is at seat 7. Priya's husband at seat 3 must be a married man; Sahil is unmarried, so Biswas is at seat 3 and Sahil is at seat 4.
So, the clockwise order is: Rita, Priya, Biswas, Sahil, Anil, Sameer, Sita, Aarti.
Test the statements:
Sahil (seat 4) and Aarti (seat 8) are four seats apart, so they sit directly opposite each other. Therefore, statement A is true.
Correct Option: A) Sahil is directly across the table from Aarti — Sahil is at seat 4 and Aarti is at seat 8, which are opposite seats. Hence, Option A is the correct answer.
B) Sameer is the only one sitting between Aarti and Anil: This is incorrect because both Sameer and Sita sit between Anil and Aarti.
C) Sahil is second to the left of Aarti: This is incorrect because the person second to the left of Aarti is Priya.
D) Sita is sitting third to the left of Biswas: This is incorrect because the person third to the left of Biswas is Sameer.
The question asks for the minimum age requirement to be elected as the President of India. This is a direct factual question based on the qualifications for the President as laid down in the Indian Constitution.
D) Completed the age of 35 years
Article 58(1)(b) of the Constitution of India explicitly states that a person shall not be eligible for election as President unless he has completed the age of thirty-five years.
The question asks to identify the process used in water purification among the given options. We need to understand the basic principles of each option and determine which one is applied for purifying water, specifically for removing impurities and dissolved salts.
Correct Option: C) Reverse Osmosis is a widely used and effective method for water purification, especially for removing dissolved salts and other impurities from water.