What was the theme of the 18th Pravasi Bharatiya Divas (PBD) Convention held in January 2025?
Strengthening Bonds: The Indian Diaspora and India@75
Redefining Engagement with the Indian Diaspora
Engaging Diaspora for a Self-Reliant India
Diaspora's contribution to a Viksit Bharat
The question asks for the theme of the 18th Pravasi Bharatiya Divas (PBD) Convention, which is scheduled for January 2025. To answer this, one needs to be aware of the official themes announced for past and upcoming PBD conventions.
Correct Option: D) Diaspora's contribution to a Viksit Bharat
The question asks to identify the Indian state with the longest coastline on the mainland. This requires knowledge of the geographical features of Indian states.
Correct Option: C) Gujarat has the longest coastline in mainland India, stretching for approximately 1,600 km. Its highly indented coastline, particularly the Gulf of Kutch and Gulf of Khambhat, contributes to its extensive length.
To determine which number is divisible by 7, we can use the divisibility rule for 7 or perform direct division for each option. The divisibility rule for 7 states: subtract twice the last digit from the number formed by the remaining digits. If the result is divisible by 7, then the original number is also divisible by 7. We repeat this process until we get a small number that is easily checked for divisibility by 7.
C) 875 — As shown in step 3, applying the divisibility rule for 7 to 875 gives 77, which is clearly divisible by 7. Therefore, 875 is divisible by 7.
The question asks to identify the rebellion with which Bhawani Pathak and Devi Choudhurani were associated. This requires knowledge of prominent leaders and their respective movements during the British colonial period in India.
Correct Option: D) Bhawani Pathak and Devi Choudhurani were significant leaders associated with the Fakir and Sanyasi Rebellion. Devi Choudhurani, in particular, is noted for her role as a female leader in this movement, and her story was immortalized in Bankim Chandra Chattopadhyay's novel 'Anandamath'.
The problem asks us to identify the letter-cluster pair that does not follow the same pattern as the others. We need to analyze the positional values of the letters in the English alphabet for each pair and find a consistent rule among three of them.
Let's analyze each option:
A) PS - QT
B) KN - LO
C) GJ - HK
D) DH - FP
From the analysis, options A, B, and C follow a consistent pattern:
Option D does not follow this pattern, as the differences within the clusters are 4 and 10, and the shifts between corresponding letters are +2 and +8.
D) DH - FP is the odd one out because it does not follow the pattern where the difference between letters in each pair is 3, and the second pair's letters are a +1 shift from the first pair's letters.
The problem presents a number series, and we need to find the next term. We will analyze the differences between consecutive terms to identify the pattern.
Write down the given series:
\(1001, 1000, 997, 992, 985, ?\)
Calculate the difference between consecutive terms:
Difference between the 1st and 2nd term:
\[ 1000 - 1001 = -1 \]Difference between the 2nd and 3rd term:
\[ 997 - 1000 = -3 \]Difference between the 3rd and 4th term:
\[ 992 - 997 = -5 \]Difference between the 4th and 5th term:
\[ 985 - 992 = -7 \]Observe the pattern in the differences:
The differences are \(-1, -3, -5, -7\). This is a series of consecutive odd numbers, each being subtracted from the previous term.
Determine the next difference in the pattern:
Following the pattern of odd numbers, the next odd number after 7 is 9. So, the next difference should be \(-9\).
Apply the next difference to the last given term to find the missing term:
The last given term is 985. Subtract 9 from it:
\[ 985 - 9 = 976 \]Therefore, the missing term in the series is 976.
B) 976 is the correct answer because it follows the established pattern of subtracting consecutive odd numbers (1, 3, 5, 7, 9) from the previous term.
A) 975 — This would imply a difference of \(-10\) from 985, which does not fit the pattern of odd number subtractions.
C) 978 — This would imply a difference of \(-7\) from 985, which is the same as the previous step and breaks the increasing odd number pattern.
D) 977 — This would imply a difference of \(-8\) from 985, which does not fit the pattern of odd number subtractions.
The question asks to identify the most transformative trend for businesses by 2030, according to the Future of Jobs Report 2025. This requires knowledge of the key findings or emphasis of the World Economic Forum's (WEF) Future of Jobs Report, specifically the 2025 edition (or its projections for 2030).
Correct Option: D) Broadening digital access. The Future of Jobs Report 2025 (and related WEF reports) consistently identifies the expansion of digital access as a fundamental and highly transformative trend. This trend underpins many other technological advancements and has widespread implications for business models, workforce skills, and economic inclusion globally. It's considered a foundational change that enables many other shifts.
The problem involves calculating the total time taken by a boat to travel upstream and downstream. We are given the time taken for a certain upstream journey and the ratio of the boat's speed in still water to the stream's speed. We need to find the individual speeds, then calculate upstream and downstream speeds, and finally sum the times for the given distances.
Given time taken to go 10.2 km upstream = 51 minutes.
\[ 51 \text{ minutes} = \frac{51}{60} \text{ hours} = \frac{17}{20} \text{ hours} = 0.85 \text{ hours} \]Let the speed of the boat in still water be \(V_b\) km/hr.
Let the speed of the stream be \(V_s\) km/hr.
Given ratio \(V_b : V_s = 7 : 6\). So, let \(V_b = 7x\) and \(V_s = 6x\) for some constant \(x\).
Upstream speed \(V_u = V_b - V_s = 7x - 6x = x\) km/hr.
We know that \(\text{Speed} = \frac{\text{Distance}}{\text{Time}}\).
For the first upstream journey:
\[ V_u = \frac{10.2 \text{ km}}{0.85 \text{ hours}} \] \[ x = \frac{10.2}{0.85} = \frac{1020}{85} = 12 \text{ km/hr} \]Speed of boat in still water \(V_b = 7x = 7 \times 12 = 84\) km/hr.
Speed of stream \(V_s = 6x = 6 \times 12 = 72\) km/hr.
Downstream speed \(V_d = V_b + V_s = 84 + 72 = 156\) km/hr.
Distance upstream = 17.7 km.
Upstream speed \(V_u = x = 12\) km/hr.
\[ T_{\text{upstream}} = \frac{17.7}{12} = 1.475 \text{ hours} \]Distance downstream = 66.3 km.
Downstream speed \(V_d = 156\) km/hr.
\[ T_{\text{downstream}} = \frac{66.3}{156} = 0.425 \text{ hours} \]Correct Option: C) 1.9