The problem presents a pattern based on letter positions in the alphabet and a numerical value. We need to identify the logic connecting the letters and the number in the given pairs and apply the same logic to the third pair to find the missing option.
B) PQ 22 — Following the established pattern (first letter +3, second letter -4, number +16), MU 6 transforms to PQ 22.
To find the man's monthly salary, we need to sum all his expenses and savings. The expenses include a percentage of his salary for house rent and fixed amounts for conveyance and grocery. The remaining amount is his savings. We can set up an equation where the total salary is equal to the sum of all these components.
House rent expense is 12% of his monthly salary.
\[ \text{House Rent} = 12\% \text{ of } S = \frac{12}{100} \times S = 0.12S \]Other fixed expenses are:
His savings = ₹924.
The total monthly salary is the sum of all expenses and savings:
\[ S = \text{House Rent} + \text{Conveyance} + \text{Grocery} + \text{Savings} \]Substitute the known values into the equation:
\[ S = 0.12S + 407 + 8657 + 924 \]Combine the constant terms:
\[ 407 + 8657 + 924 = 9988 \]So the equation becomes:
\[ S = 0.12S + 9988 \]Subtract \(0.12S\) from both sides to solve for \(S\):
\[ S - 0.12S = 9988 \] \[ (1 - 0.12)S = 9988 \] \[ 0.88S = 9988 \]Divide by 0.88 to find \(S\):
\[ S = \frac{9988}{0.88} \] \[ S = \frac{998800}{88} \] \[ S = 11350 \]Correct Option: A) ₹11,350
This problem involves determining relative positions of towns based on given directional information. We can solve this by drawing a simple diagram or visualizing the positions on a coordinate plane.
Let's combine these facts:
If G is north-west of D, then G must be to the west of D's north-south line. Since G is also north of E, it implies that E must be to the west of D. If E were to the east of D, then G (which is north of E) would be north-east of D, contradicting statement (5).
Therefore, E must be located to the west of D. Since E is also to the east of C (from statement 2), the order from west to east must be C, E, D.
The question asks for the position of Town E with respect to Town D. Based on our deduction, Town E is to the west of Town D.
Correct Option: C) West
The question asks to identify the countries that had previously developed high-energy laser-directed weapon systems before India's reported achievement in March 2025. This requires knowledge of the global landscape of directed-energy weapon development.
D) The US, Russia and China — These three nations are widely recognized as having developed and, in some cases, deployed high-energy laser-directed weapon systems prior to 2025. They have significant research and development programs in this advanced military technology.
The question asks about a specific navigation satellite launched by India in January 2025 to enhance its NavIC system. To answer this, one needs to be aware of recent developments and future plans regarding India's satellite navigation program.
A) NVS-02 is the correct answer. NVS-02 is indeed the navigation satellite India plans to launch in January 2025 to enhance its NavIC system. This satellite is part of the second-generation NavIC constellation, which aims to improve the accuracy and availability of navigation services.
The simplified value of \(\frac{31^{10}\times2^{15}\times84^6}{31^9\times2^{14}\times84^5}\) is:
The problem asks us to simplify a given expression involving powers. We will use the exponent rule \(\frac{a^m}{a^n} = a^{m-n}\) to simplify each term in the expression.
The given expression is:
\[ \frac{31^{10}\times2^{15}\times84^6}{31^9\times2^{14}\times84^5} \]We can rewrite the expression by grouping terms with the same base and applying the rule \(\frac{a^m}{a^n} = a^{m-n}\):
\[ 31^{10-9} \times 2^{15-14} \times 84^{6-5} \]Calculate the difference in the exponents for each base:
So the expression simplifies to:
\[ 31^1 \times 2^1 \times 84^1 \]Now, multiply the simplified terms:
\[ 31 \times 2 \times 84 \]\[ 62 \times 84 \]Multiply 62 by 84:
\[ 62 \times 84 = 5208 \]B) The simplified value of the expression is 5208.
The question asks to identify the correct title of Samantha Bansil's novel set in precolonial Philippines. This requires specific knowledge of the author's work.
Samantha Bansil is known for her historical fiction, and her novel Black Salt Queen is indeed set in the precolonial Philippines, focusing on themes and characters from that era.
Correct Option: A) Black Salt Queen is the correct title of Samantha Bansil's novel set in precolonial Philippines.
To find the new ratio of salaries, we first need to calculate the new salary for each person (X, Y, and Z) by applying the given percentage increments to their initial salaries. Then, we simplify the new salaries to their simplest ratio.
Correct Option: B) 91 : 150 : 119
In the 2024 Global Innovation Index, which organisation ranked India 39th among 133 global economies, highlighting its leadership in the Central and Southern Asian region?
World Bank
World Economic Forum
International Monetary Fund
World Intellectual Property Organization
The question asks to identify the organization responsible for publishing the Global Innovation Index (GII) and ranking India 39th in its 2024 edition. This requires knowledge of international reports and the organizations that publish them.
Correct Option: D) World Intellectual Property Organization