The problem asks us to identify numbers in a given series that satisfy two conditions: they must be immediately preceded by another number and immediately followed by a symbol. We need to scan the series from left to right and check each number against these conditions.
Correct Option: B) 4
The mean proportional between 4 + 2\(\sqrt{3}\) and 16 − 8\(\sqrt{3}\) is:
To find the mean proportional between two numbers, say \(a\) and \(b\), we use the formula \(\sqrt{ab}\). We will substitute the given numbers into this formula and simplify the expression.
Correct Option: A) 4
The question asks to identify the force that arises when a body is immersed in a fluid and displaces it. This phenomenon is directly related to Archimedes' principle, which describes the upward force exerted by a fluid that opposes the weight of an immersed object.
B) Buoyant force is the upward force exerted by a fluid that opposes the weight of an immersed object. It arises due to the pressure difference between the top and bottom surfaces of the submerged object, or equivalently, as the weight of the displaced fluid.
The question asks to identify the state selected for India's first commercial semiconductor fabrication plant under the India Semiconductor Mission in 2024. This requires knowledge of recent developments in India's semiconductor manufacturing sector.
Correct Option: C) Gujarat was selected for the establishment of India's first commercial semiconductor fabrication plant in Dholera, a joint venture between Tata Electronics and PSMC.
The question asks for the date from which the Medium-Term and Long-Term Government Deposit (MLTGD) components of the Gold Monetisation Scheme (GMS) were discontinued. This requires knowledge of specific government policy decisions and their effective dates.
C) 26 March 2025 — The Government of India, through the Reserve Bank of India, announced that the Medium-Term Government Deposit (MTGD) and Long-Term Government Deposit (LTGD) components of the Gold Monetisation Scheme (GMS) would be discontinued with effect from 26 March 2025. This means no new deposits under these categories would be accepted from this date.
What major future-focused initiative was discussed during the 67th GBM of the Asian Productivity Organisation (APO)?
Green Productivity 2.0 Ecosystem
Smart Cities 2030
Digital Governance Network
Asia-Pacific Free Trade Agreement
The question asks about a major future-focused initiative discussed during the 67th Governing Body Meeting (GBM) of the Asian Productivity Organisation (APO). This requires knowledge of recent APO meetings and their key agenda items.
A) Green Productivity 2.0 Ecosystem — This initiative was indeed a major focus of discussion during the 67th APO Governing Body Meeting. It represents an updated and expanded approach to integrating environmental sustainability with productivity enhancement, incorporating new technologies and holistic strategies.
The question gives seven people, Amita, Babita, Geeta, Kavita, Meeta, Sarita and Vinita, sitting in a straight line facing north, along with clues about their positions. We need to number the positions from the left end, build the arrangement, find the common relationship shared by three of the given pairs, and identify the pair that does not share it.
Identify the given information:
Place Sarita, Amita and Meeta:
Number the positions 1 to 7 from the left end. Sarita, Amita and Meeta are each three places apart, which needs the full length of the line.
\[ \text{Sarita}=1,\ \text{Amita}=1+3=4,\ \text{Meeta}=4+3=7 \]Place Kavita and Geeta:
The free positions are 2, 3, 5 and 6. Geeta is three places to the right of Kavita, so (Kavita, Geeta) is (2, 5) or (3, 6). Kavita cannot be at 2 because Sarita at 1 would be next to her. So Kavita = 3 and Geeta = 6.
Place Babita and Vinita:
The free positions are 2 and 5. Babita cannot sit next to Kavita, so Babita takes position 5 and Vinita takes position 2.
Final arrangement (left to right): Sarita, Vinita, Kavita, Amita, Babita, Geeta, Meeta.
Examine the pairs:
Vinita (2) and Amita (4), Babita (5) and Meeta (7), and Sarita (1) and Kavita (3) each have exactly one person sitting between them. Amita (4) and Babita (5) sit next to each other with no one between them.
\[ 4-2-1=1,\ 7-5-1=1,\ 3-1-1=1,\ 5-4-1=0 \]Therefore, Amita and Babita do not belong to the group.
Correct Option: A) Amita and Babita — In the arrangement Sarita, Vinita, Kavita, Amita, Babita, Geeta, Meeta, each of the other pairs has exactly one person between them, while Amita and Babita are immediate neighbours. Hence, Option A is the correct answer.
B) Vinita and Amita: This is incorrect because exactly one person, Kavita, sits between Vinita and Amita, so this pair belongs to the group.
C) Babita and Meeta: This is incorrect because exactly one person, Geeta, sits between Babita and Meeta, so this pair belongs to the group.
D) Sarita and Kavita: This is incorrect because exactly one person, Vinita, sits between Sarita and Kavita, so this pair belongs to the group.
To find the marked price, we need to work backward from the desired profit. First, calculate the selling price required to achieve a 35% profit on the given cost price. Then, use the discount percentage to find the marked price from this selling price.
Correct Option: A) 939
The question asks to identify the Microsoft PowerPoint view best suited for reorganising slides and getting an overview of the entire presentation structure. We need to understand the purpose of each view option provided.
Correct Option: A) Slide Sorter View is specifically designed for reordering slides, adding transitions, and getting a bird's-eye view of the entire presentation's flow, as it displays all slides as thumbnails.
To solve this problem, we need to identify symbols in the given series that meet two specific conditions simultaneously: they must be immediately preceded by a number and immediately followed by another symbol. We will scan the series from left to right and check each symbol against these conditions.
3 © 3 # 1 & & 5 £ 9 3 4 * & 2 2 % 2 2 7 © @C) 3 is the correct answer because we identified three symbols (the first '&', '*', and '©') that satisfy both conditions: immediately preceded by a number and immediately followed by a symbol.