The question asks for the specific month and year when the Khilafat Committee was formed in Bombay. This requires knowledge of the historical timeline of the Khilafat Movement in India.
C) March 1919 is the correct answer. The Khilafat Committee was indeed formed in Bombay in March 1919 to defend the temporal powers of the Khalifa.
The question asks for the name of the joint Lunar Polar Exploration Mission between India's ISRO and Japan's JAXA, which was approved in October 2024. This requires knowledge of current and upcoming space missions and collaborations.
A) Lupex
Lupex stands for Lunar Polar Exploration mission. It is a joint mission between the Indian Space Research Organisation (ISRO) and the Japan Aerospace Exploration Agency (JAXA). The mission aims to send a lander and a rover to the Moon's south pole to explore the region for water-ice and other resources. The approval by India's National Space Commission in October 2024 refers to the formal endorsement of this collaborative project.
The problem presents a series of letter-clusters. To find the missing cluster, we need to identify the pattern in the progression of each letter's position within the English alphabet across the clusters.
B) GZS — This option correctly follows the identified pattern for all three letters in the cluster.
To expand the given expression \((5a + 7b + 3c)^2\), we will use the algebraic identity for the square of a trinomial: \((x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx\).
Correct Option: B) 25a² + 49b² + 9c² + 70ab + 42bc + 30ac
The problem presents two pairs of letter-clusters and asks us to find a third pair that exhibits a similar relationship. We need to identify the pattern or rule governing the transformation from the first cluster to the second cluster in the given examples. Once the rule is identified, we apply it to the options to find the one that follows the same rule.
B) HFN : IIM
H = 8, F = 6, N = 14
I = 9, I = 9, M = 13
First letter: H (8) \(\rightarrow\) I (9) \((+1)\)
Second letter: F (6) \(\rightarrow\) I (9) \((+3)\)
Third letter: N (14) \(\rightarrow\) M (13) \((-1)\)
This pair follows the \((+1, +3, -1)\) pattern. Therefore, option B is the correct answer.
The question asks to identify the author of the book 'Fiction as History: The Novel and the City in Modern North India,' published in 2019. This requires knowledge of contemporary Indian literary scholarship.
A) Vasudha Dalmia is the author of 'Fiction as History: The Novel and the City in Modern North India,' which was published in 2019. She is a distinguished Indologist and Professor Emerita of Hindi and Modern South Asian Studies at the University of California, Berkeley. Her work often explores the intersection of literature, history, and society in India.
The problem presents two pairs of letter-clusters and asks to find a third pair that shares a similar relationship. We need to identify the pattern or rule governing the transformation from the first cluster to the second cluster in the given pairs. Once the rule is found, we apply it to the options to find the one that fits.
KNI : LQD
K = 11, N = 14, I = 9
L = 12, Q = 17, D = 4
First letter: K (11) \(\to\) L (12) \((+1)\)
Second letter: N (14) \(\to\) Q (17) \((+3)\)
Third letter: I (9) \(\to\) D (4) \((-5)\)
This pair follows the \((+1, +3, -5)\) pattern. Therefore, option D is the correct answer.
The question asks to identify the dynasty that had Manyakheta as its capital during the 8th century AD. This requires knowledge of the major dynasties of early medieval India and their respective capitals.
Correct Option: B) Rashtrakuta
The problem asks us to identify symbols in a given series that satisfy two conditions: they must be immediately preceded by a number and immediately followed by another symbol. We need to scan the series from left to right and count such occurrences.
Correct Option: D) 3
We identified three instances where a symbol is immediately preceded by a number and immediately followed by another symbol:
A shopkeeper bought an article for ₹760. At what price (in ₹) should he sell the article to make 30% profit?
To find the selling price that yields a 30% profit, we first need to calculate the profit amount based on the cost price. Then, we add this profit to the cost price to determine the selling price.
The shopkeeper bought the article for ₹760.
\[ \text{CP} = \text{₹}760 \]The shopkeeper wants to make a 30% profit.
\[ \text{Profit Percentage} = 30\% \]Profit is calculated as a percentage of the Cost Price.
\[ \text{Profit Amount} = \text{Profit Percentage} \times \text{CP} \]\[ \text{Profit Amount} = 30\% \times \text{₹}760 \]\[ \text{Profit Amount} = \frac{30}{100} \times 760 \]\[ \text{Profit Amount} = 0.30 \times 760 \]\[ \text{Profit Amount} = \text{₹}228 \]The Selling Price is the Cost Price plus the Profit Amount.
\[ \text{SP} = \text{CP} + \text{Profit Amount} \]\[ \text{SP} = \text{₹}760 + \text{₹}228 \]\[ \text{SP} = \text{₹}988 \]Alternatively, the selling price can be calculated directly using the formula:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \]\[ \text{SP} = 760 \times \left(1 + \frac{30}{100}\right) \]\[ \text{SP} = 760 \times \left(1 + 0.30\right) \]\[ \text{SP} = 760 \times 1.30 \]\[ \text{SP} = \text{₹}988 \]B) 988 — The calculated selling price to make a 30% profit is ₹988.