The question asks to identify what 'reward for loyalty' signifies as a factor in ministerial selection in India. This concept relates to political appointments and the considerations a party leader or Prime Minister might take into account when forming a council of ministers.
D) recognising and rewarding longstanding support — This accurately describes 'reward for loyalty'. Political leaders often appoint individuals who have demonstrated unwavering support, especially those who have been with them through thick and thin, to key ministerial positions. This strengthens internal party cohesion and acknowledges their dedication.
The question asks to identify the Indian state with the longest mainland coastline. This requires knowledge of the geographical features of Indian states.
B) Gujarat has the longest coastline among all Indian states, excluding islands. Its coastline stretches approximately 1,600 km, largely due to its highly indented nature and the presence of the Kathiawar peninsula.
Find the area of the sector of a circle with diameter 14 cm, if the arc of the sector makes an angle of 120° at the centre of the circle. (Use π = \( \frac{22}{7} \))
51\( \frac{1}{3} \) cm²
51\( \frac{1}{2} \) cm²
150 cm²
154 cm²
To find the area of a sector of a circle, we need the radius of the circle and the angle subtended by the arc at the center. The formula for the area of a sector is given by: \(\text{Area} = \frac{\theta}{360^\circ} \times \pi r^2\), where \(\theta\) is the angle in degrees and \(r\) is the radius.
A) 51\( \frac{1}{3} \) cm\(^2\) is the correct answer, matching our calculated area.
The given series is a sequence of numbers. To find the missing number, we need to identify the pattern or the difference between consecutive terms.
First, let's find the difference between the given consecutive numbers:
The differences are 23 and 33. This suggests an increasing difference.
The differences themselves form a series: 23, 33, ...
The difference between 33 and 23 is \(33 - 23 = 10\).
This indicates that the difference between consecutive terms in the original series is increasing by 10 each time.
Following this pattern, the next difference should be \(33 + 10 = 43\).
To find the missing term, subtract this predicted difference (43) from the last known term (357):
\[ 357 - 43 = 314 \]If the missing term is 314, the next difference should be \(43 + 10 = 53\).
Let's check if \(314 - 53 = 261\):
\[ 314 - 53 = 261 \]The next difference should be \(53 + 10 = 63\).
Let's check if \(261 - 63 = 198\):
\[ 261 - 63 = 198 \]The pattern holds true for all terms. The series of differences is 23, 33, 43, 53, 63, where each difference increases by 10.
The complete series is: 413, 390, 357, 314, 261, 198.
D) 314 — The missing term is 314, as it follows the established pattern where the difference between consecutive terms increases by 10 each time.
The question asks to identify the Union Territory with the longest coastline based on the 2022-23 Annual Report of the Ministry of Home Affairs. This requires knowledge of the geographical features of Indian Union Territories and specific data from official government reports.
Correct Option: D) Andaman and Nicobar Islands
The problem presents a series of letter-number clusters. To find the missing cluster, we need to identify the pattern in the letters and the numbers separately.
K (11th letter), J (10th letter), I (9th letter), H (8th letter).
The pattern for the first letter is a decreasing sequence: \(11 \to 10 \to 9 \to 8\). The next letter in this sequence would be the 7th letter, which is G.
O (15th letter), N (14th letter), M (13th letter), L (12th letter).
The pattern for the second letter is also a decreasing sequence: \(15 \to 14 \to 13 \to 12\). The next letter in this sequence would be the 11th letter, which is K.
29, 41, 53, 65.
Let's find the difference between consecutive numbers:
The pattern for the numbers is an arithmetic progression with a common difference of 12. The next number in the series would be \(65 + 12 = 77\).
The next cluster will have the first letter G, the second letter K, and the number 77.
Therefore, the complete cluster is GK77.
A) GK77 — This matches the derived pattern for both letters and numbers.
The 9th Amendment Act, 1960, was enacted to give effect to which of the following agreements?
Indo-Pak Agreement, 1958
Shimla Agreement, 1972
Tashkent Agreement, 1966
Lahore Declaration, 1999
The question asks about the specific agreement that led to the 9th Amendment Act of 1960. This requires knowledge of Indian constitutional amendments and their historical context, particularly regarding territorial disputes.
Correct Option: A) Indo-Pak Agreement, 1958
The 9th Amendment Act, 1960, was enacted to give effect to the transfer of the Berubari Union (a territory in West Bengal) to Pakistan, as stipulated by the Indo-Pak Agreement of 1958 (also known as the Nehru-Noon Agreement). The Supreme Court had ruled that Parliament's power to diminish the area of a state (under Article 3) did not include ceding Indian territory to a foreign country, thus necessitating a constitutional amendment under Article 368.
The question asks for the theme of the 2025 G20 Johannesburg Summit. To answer this, one needs to be aware of the official declarations or announcements made regarding upcoming G20 summits.
B) Solidarity, Equality, Sustainability is the officially announced theme for the 2025 G20 Johannesburg Summit by South Africa.
The problem asks us to identify the letter-cluster pair that does not follow the same pattern as the others. We need to find the relationship between the letters in each pair based on their positions in the English alphabet.
Let's find the positional value of each letter in the English alphabet (A=1, B=2, ..., Z=26).
Let's consider the relationship between the first letter of the first cluster and the first letter of the second cluster, and similarly for the second letters.
Comparing the patterns:
The pattern (+6, +5) is common to options A, B, and D. Option C has a different pattern for the first letter (+7).
C) CK – JP is the odd one out because the first letter of the second cluster is obtained by adding 7 to the positional value of the first letter of the first cluster (C \(\xrightarrow{+7}\) J), while in the other options, it is obtained by adding 6.
To solve this problem, we need to identify symbols in the given series that satisfy two conditions simultaneously: they must be immediately preceded by a number and immediately followed by another number. We will scan the series from left to right and look for the pattern "Number - Symbol - Number".
B) Two. As identified in the step-by-step analysis, the symbols '&' and '#' (first occurrence) satisfy the given conditions.