The question asks to identify the nature of the Sukanya Samriddhi Yojana. This requires knowledge of various government schemes, particularly those related to girl child welfare in India.
Correct Option: D) A small deposit scheme for the girl child.
The Sukanya Samriddhi Yojana is indeed a small deposit scheme specifically designed for the financial well-being of the girl child, promoting savings for her education and marriage.
This is a seating arrangement problem. We need to deduce the positions of eight friends sitting around an octagonal table, all facing the center. We will use the given clues to progressively place the friends and then identify who is opposite to Chandra.
A) Seema — Based on our step-by-step deduction, Chandra is at position 6 and Seema is at position 2. In an octagon, positions 2 and 6 are diagonally opposite. Therefore, Seema is opposite to Chandra.
The question asks to identify which of the given countries is NOT a member of BIMSTEC. To answer this, one needs to know the current member states of BIMSTEC.
Correct Option: A) Maldives is not a member of BIMSTEC. It is a member of SAARC (South Asian Association for Regional Cooperation) but not BIMSTEC.
To solve this problem, we will assume a suitable value for the marked price (MP) to simplify calculations. Then, we will calculate the cost price (CP) based on the given percentage. Next, we will calculate the selling price (SP) after applying the discount on the marked price. Finally, we will determine the profit or loss percentage using the calculated CP and SP.
Assume Marked Price (MP): Let the Marked Price (MP) of the article be ₹100.
Calculate Cost Price (CP): The cost price is 75% of the marked price.
\[ \text{CP} = 75\% \text{ of MP} = \frac{75}{100} \times 100 = \text{₹}75 \]Calculate Selling Price (SP): A discount of 15% is allowed on the marked price.
\[ \text{Discount Amount} = 15\% \text{ of MP} = \frac{15}{100} \times 100 = \text{₹}15 \] \[ \text{SP} = \text{MP} - \text{Discount Amount} = 100 - 15 = \text{₹}85 \]Determine Profit or Loss: Since the Selling Price (₹85) is greater than the Cost Price (₹75), there is a profit.
\[ \text{Profit} = \text{SP} - \text{CP} = 85 - 75 = \text{₹}10 \]Calculate Profit Percentage: The profit percentage is calculated on the cost price.
\[ \text{Profit Percentage} = \frac{\text{Profit}}{\text{CP}} \times 100\% \] \[ \text{Profit Percentage} = \frac{10}{75} \times 100\% \] \[ \text{Profit Percentage} = \frac{2 \times 5}{15 \times 5} \times 100\% = \frac{2}{15} \times 100\% \] \[ \text{Profit Percentage} = \frac{200}{15}\% = \frac{40}{3}\% = 13.33\% \text{ (approximately)} \]C) 13.33% profit
Out of Harish's monthly salary of ₹45,000, \( \frac{1}{3} \) is spent on education and \( \frac{2}{6} \) on food and other necessities. The rest of the salary goes towards his savings. The amount of savings is:
To find the amount of savings, we first calculate the total expenditure on education, food, and other necessities. Then, we subtract this total expenditure from Harish's total monthly salary.
Harish spends \( \frac{1}{3} \) of his salary on education.
\[ \text{Education expenditure} = \frac{1}{3} \times \text{Total Salary} \]\[ \text{Education expenditure} = \frac{1}{3} \times \text{₹}45,000 = \text{₹}15,000 \]Harish spends \( \frac{2}{6} \) of his salary on food and other necessities. Note that \( \frac{2}{6} \) simplifies to \( \frac{1}{3} \).
\[ \text{Food and necessities expenditure} = \frac{2}{6} \times \text{Total Salary} \]\[ \text{Food and necessities expenditure} = \frac{1}{3} \times \text{₹}45,000 = \text{₹}15,000 \]Add the expenditure on education and food/necessities.
\[ \text{Total expenditure} = \text{Education expenditure} + \text{Food and necessities expenditure} \]\[ \text{Total expenditure} = \text{₹}15,000 + \text{₹}15,000 = \text{₹}30,000 \]Savings are the remaining amount after deducting total expenditure from the total salary.
\[ \text{Savings} = \text{Total Salary} - \text{Total expenditure} \]\[ \text{Savings} = \text{₹}45,000 - \text{₹}30,000 = \text{₹}15,000 \]Alternatively, we can calculate the total fraction of salary spent:
\[ \text{Total fraction spent} = \frac{1}{3} + \frac{2}{6} \]\[ \text{Total fraction spent} = \frac{1}{3} + \frac{1}{3} = \frac{2}{3} \]\[ \text{Fraction saved} = 1 - \text{Total fraction spent} \]\[ \text{Fraction saved} = 1 - \frac{2}{3} = \frac{1}{3} \]\[ \text{Amount saved} = \frac{1}{3} \times \text{₹}45,000 = \text{₹}15,000 \]D) ₹15,000 is the correct amount of savings.
If \( \tan\theta = \frac{3}{5} \), then the value of \( \frac{1 + \tan\theta}{1 - \cot\theta} \) is:
\( \frac{11}{5} \)
-\( \frac{8}{5} \)
\( \frac{2}{5} \)
-\( \frac{12}{5} \)
The problem asks us to evaluate an expression involving trigonometric ratios, given the value of \(\tan\theta\). We need to first find the value of \(\cot\theta\) using the given \(\tan\theta\) value and then substitute both into the given expression to simplify it.
Identify the given information:
We are given that \(\tan\theta = \frac{3}{5}\).
Find the value of \(\cot\theta\):
We know that \(\cot\theta\) is the reciprocal of \(\tan\theta\).
\[ \cot\theta = \frac{1}{\tan\theta} \]
Substitute the given value of \(\tan\theta\):
\[ \cot\theta = \frac{1}{\frac{3}{5}} = \frac{5}{3} \]
Substitute the values into the expression:
The expression to evaluate is \(\frac{1 + \tan\theta}{1 - \cot\theta}\).
Substitute \(\tan\theta = \frac{3}{5}\) and \(\cot\theta = \frac{5}{3}\) into the expression:
\[ \frac{1 + \frac{3}{5}}{1 - \frac{5}{3}} \]
Simplify the numerator:
\[ 1 + \frac{3}{5} = \frac{5}{5} + \frac{3}{5} = \frac{5 + 3}{5} = \frac{8}{5} \]
Simplify the denominator:
\[ 1 - \frac{5}{3} = \frac{3}{3} - \frac{5}{3} = \frac{3 - 5}{3} = \frac{-2}{3} \]
Divide the simplified numerator by the simplified denominator:
\[ \frac{\frac{8}{5}}{\frac{-2}{3}} = \frac{8}{5} \times \frac{3}{-2} \]
\[ = \frac{8 \times 3}{5 \times (-2)} = \frac{24}{-10} \]
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 2:
\[ = \frac{24 \div 2}{-10 \div 2} = \frac{12}{-5} = -\frac{12}{5} \]
D) The calculated value of the expression is \(- \frac{12}{5}\).
The question asks to identify the state that is NOT part of the 'Seven Sisters' of North-East India. This requires knowledge of the states included in this geographical and cultural grouping.
Correct Option: D) Sikkim is not a member of the 'Seven Sisters' states. While it is a North-Eastern state, it is geographically distinct and not included in the traditional grouping of the 'Seven Sisters'.
The question asks for the year in which The Environment (Protection) Act was passed by the Parliament of India. This is a factual question requiring knowledge of Indian environmental legislation history.
Correct Option: A) 1986 is the correct year when The Environment (Protection) Act was passed by the Parliament of India. This Act was a direct response to the Bhopal Gas Tragedy and aimed to provide a comprehensive legal framework for environmental protection.
The question asks to identify the inaugural route of India's first semi high-speed train, the Vande Bharat Express. This requires knowledge of significant milestones in Indian railway history.
The first Vande Bharat Express, also known as Train 18, was flagged off on February 15, 2019. It began its commercial operations between New Delhi and Varanasi.
D) New Delhi and Varanasi Junction is the correct answer. The first Vande Bharat Express train commenced its commercial service on February 15, 2019, connecting New Delhi to Varanasi, Uttar Pradesh.
The question asks us to identify the relationship between the first two terms and apply the same relationship to the third term to find the fourth term. This is a classic analogy question where we need to understand the field of study and what it focuses on.
Correct Option: B) brain — Neurology is the medical specialty concerned with the diagnosis and treatment of disorders of the nervous system, which primarily includes the brain, spinal cord, and nerves.