This problem involves setting up and solving a system of linear equations based on the given age relationships. We will define variables for the current ages of Surya and his son, form equations from the problem statements, solve for their current ages, and then calculate Surya's age after 3 years.
Correct Option: D) 48
Surya's current age is 45 years. After 3 years, his age will be \(45 + 3 = 48\) years.
The question asks for the name of the first bank established in India. This is a factual question related to the history of banking in India. We need to identify the earliest banking institution from the given options.
Correct Option: A) Bank of Hindustan was the first bank established in India in 1770.
If M = 14, TANK = 62, then STARDOM = ________
What is the 4th proportional of 3, 8, 12, ?
To find the fourth proportional of three given numbers, we set up a proportion where the ratio of the first two numbers is equal to the ratio of the third number to the unknown fourth number. This allows us to solve for the unknown value.
Let the three given numbers be \(a\), \(b\), and \(c\). We need to find the fourth proportional, let's call it \(x\).
The relationship for four numbers in proportion is \(a : b :: c : x\), which can be written as a fraction:
\[ \frac{a}{b} = \frac{c}{x} \]In this problem, the given numbers are 3, 8, and 12. So, \(a = 3\), \(b = 8\), and \(c = 12\).
Substitute these values into the proportion equation:
\[ \frac{3}{8} = \frac{12}{x} \]To solve for \(x\), cross-multiply:
\[ 3 \times x = 8 \times 12 \]Perform the multiplication:
\[ 3x = 96 \]Divide both sides by 3 to find \(x\):
\[ x = \frac{96}{3} \]\[ x = 32 \]Therefore, the fourth proportional is 32.
Correct Option: C) 32 โ The calculation shows that when 3, 8, and 12 are in proportion with an unknown fourth number \(x\), the value of \(x\) is 32. This makes the proportion \(3:8::12:32\).
Which of the following is a Space-Based Augmentation System?
The question asks to identify a Space-Based Augmentation System (SBAS) from the given options. An SBAS is a regional navigation system that supports Global Navigation Satellite Systems (GNSS) by providing integrity, accuracy, availability, and continuity improvements.
Correct Option: B) GAGAN is India's Space-Based Augmentation System (SBAS), designed to improve the accuracy and reliability of GPS signals for civil aviation and other applications.
The question asks us to evaluate an assertion (A) and a reason (R) related to forest cover and human encroachment. We need to determine if both statements are true and if the reason correctly explains the assertion.
A) Both A and R are true and R is the correct explanation of A. As established, the assertion that forest cover has decreased is true, and the reason that human encroachment is a concern for the forest department is also true. Furthermore, human encroachment is a primary cause for the decrease in forest cover, making R a correct explanation for A.
To determine the type of polygon, we need to find the number of its sides. We can use the formula for the interior angle of a regular polygon, which relates the number of sides to the measure of each interior angle.
The measure of each interior angle of a regular polygon with \(n\) sides is given by the formula:
\[ \text{Interior Angle} = \frac{(n-2) \times 180^{\circ}}{n} \]We are given that the interior angle is \(108^{\circ}\). So, we set up the equation:
\[ 108^{\circ} = \frac{(n-2) \times 180^{\circ}}{n} \]Multiply both sides by \(n\):
\[ 108n = (n-2) \times 180 \]\[ 108n = 180n - 360 \]Subtract \(180n\) from both sides:
\[ 108n - 180n = -360 \]\[ -72n = -360 \]Divide both sides by \(-72\):
\[ n = \frac{-360}{-72} \]\[ n = 5 \]A polygon with \(5\) sides is called a pentagon.
Correct Option: C) Pentagon
The question asks about the origin and composition of the Indian Rupee sign 'โน'. To answer this, one needs to recall the design principles behind its creation.
D) A combination of Roman & Devanagari letters โ The Rupee symbol 'โน' is indeed a thoughtful amalgamation of the Devanagari letter 'เคฐ' and the Roman capital letter 'R', making this option correct.
The question asks to identify the odd one out from the given options. This requires understanding the geographical nature and classification of each option.
B) Puducherry โ Puducherry is a Union Territory consisting of scattered districts on the Indian mainland, whereas Lakshadweep, Nicobar, and Andaman are all island groups.
This question tests general knowledge about major Indian scientific organizations. The key is to recall the established headquarters of the Indian Space Research Organisation (ISRO).
Correct Option: A) Bengaluru is the correct answer as it is the headquarters of ISRO.