The question asks to identify which position a civil servant is NOT allowed to hold. This requires knowledge of the rules and regulations governing the conduct and service conditions of civil servants in India, particularly regarding political involvement and other roles.
D) Member of Parliament — Civil servants are required to maintain political neutrality and are prohibited from participating in active politics or holding elected political office while in service. To become a Member of Parliament, a civil servant must resign from their service.
We are given the mean of two numbers, 'a' and 'b', and their ratio. We need to find the difference between 'b' and 'a'. We will use the definition of mean and the given ratio to set up equations and solve for 'a' and 'b'.
The mean of two numbers is their sum divided by 2.
\[ \frac{a + b}{2} = 350 \]\[ a + b = 350 \times 2 \]\[ a + b = 700 \quad \text{(Equation 1)} \]The ratio \(a : b = 2 : 5\) can be written as:
\[ \frac{a}{b} = \frac{2}{5} \]\[ 5a = 2b \]\[ a = \frac{2b}{5} \quad \text{(Equation 2)} \]Substitute the value of 'a' from Equation 2 into Equation 1:
\[ \frac{2b}{5} + b = 700 \]\[ \frac{2b + 5b}{5} = 700 \]\[ \frac{7b}{5} = 700 \]\[ 7b = 700 \times 5 \]\[ 7b = 3500 \]\[ b = \frac{3500}{7} \]\[ b = 500 \]Substitute the value of 'b' back into Equation 2:
\[ a = \frac{2 \times 500}{5} \]\[ a = \frac{1000}{5} \]\[ a = 200 \]Now, find the difference between 'b' and 'a':
\[ b - a = 500 - 200 \]\[ b - a = 300 \]Correct Option: C) 300
The question asks to identify the type of computer application software that Quattro Pro is. This requires knowledge of common application software categories and specific software examples.
Correct Option: A) Quattro Pro is a well-known spreadsheet application. It allows users to organize data in rows and columns, perform calculations, create charts, and analyze numerical information, which are the core functions of spreadsheet software.
The question asks to identify the odd one out from a given list of geographical features. We need to categorize each option and find the one that doesn't fit the category of the others.
D) Guru Shikhar — Guru Shikhar is a mountain peak, specifically the highest peak of the Aravalli Range. The other options (Satpura, Vindhya, Aravalli) are all mountain ranges.
To answer this question, we need to understand the definitions of atomic number, atomic mass, and isotopes. The atomic number defines an element, while the atomic mass is primarily determined by the number of protons and neutrons.
Correct Option: D) same atomic number but different atomic mass
This option correctly defines isotopes as atoms of the same element (same atomic number) but with varying numbers of neutrons, leading to different atomic masses.
The question asks about a specific world record set by ISRO in 2017 regarding the number of satellites launched on a single rocket. This is a factual recall question related to India's space achievements.
Correct Option: D) 104 — On February 15, 2017, ISRO's PSLV-C37 rocket successfully launched 104 satellites into orbit from the Satish Dhawan Space Centre in Sriharikota, Andhra Pradesh. This set a new world record for the highest number of satellites launched on a single rocket.
The problem presents a numerical series, and we need to find the missing number. We will analyze the differences between consecutive terms to identify a pattern. If the first differences don't reveal a clear pattern, we will look at the second differences (differences of the differences).
6, 12, 21, 33, ?, 66
The series of first differences is: 6, 9, 12, ...
We observe that the differences (6, 9, 12) are increasing by 3 each time. This indicates a consistent arithmetic progression in the first differences.
So, the next difference in this sequence should be \(12 + 3 = 15\).
The missing term in the original series will be the last known term plus the next difference.
Missing term \( = 33 + 15 = 48\)
If the missing term is 48, then the next difference in the original series should be \(48 - 33 = 15\). This matches our calculated difference.
The next difference in the sequence of differences (6, 9, 12, 15) would be \(15 + 3 = 18\).
So, the term after 48 should be \(48 + 18 = 66\). This matches the last given term in the series, confirming our pattern is correct.
A) 48 — The pattern of differences between consecutive terms is an arithmetic progression increasing by 3 (6, 9, 12, 15, 18). Following this pattern, the missing number is \(33 + 15 = 48\).
The question asks about the historical figure responsible for taking the Peacock Throne from India. This requires knowledge of significant invasions and their consequences during the Mughal period.
Correct Option: D) Nadir Shah was the Persian invader who, after defeating the Mughal emperor Muhammad Shah in the Battle of Karnal in 1739, plundered Delhi. Among the vast treasures he carried back to Persia were the famous Peacock Throne and the Koh-i-Noor diamond.
The question asks to identify the international humanitarian organization inspired by Jean Henry Dunant. This requires knowledge of the historical origins of major international bodies and their founders.
Therefore, Jean Henry Dunant was the main inspiration for the setup of the International Committee of the Red Cross.
Correct Option: C) International Committee of the Red Cross
The question asks to identify the classical Indian dance form with which Guru Rajkumar Singhajit Singh is associated. This requires knowledge of prominent dancers and their respective dance forms.
Correct Option: D) Manipuri
Guru Rajkumar Singhajit Singh is a highly acclaimed figure in the world of Indian classical dance, specifically known for his mastery and promotion of the Manipuri dance form. He has received numerous awards, including the Padma Shri, for his contributions.