The question asks to identify one of the key figures involved in the Kakori robbery. This requires knowledge of the historical event and the revolutionaries associated with it.
C) Ashfaqullah Khan was a prominent member of the Hindustan Republican Association (HRA) and a close associate of Ram Prasad Bismil. He was one of the main conspirators and participants in the Kakori train robbery. He was later arrested, tried, and hanged for his involvement in the conspiracy.
The question asks for the term that describes a reduction in the external value of a domestic currency. This is a fundamental concept in international economics and exchange rates. We need to identify the term that specifically refers to a deliberate or market-driven decrease in a currency's value relative to other currencies.
A) Devaluation of currency — This term directly refers to a decrease in the value of a country's currency relative to other currencies. It means that one unit of the domestic currency can now purchase fewer units of foreign currency, or it takes more units of domestic currency to purchase one unit of foreign currency.
This problem involves working backward from the votes received by a candidate to the total number of enrolled voters. We will use percentages to calculate the valid votes, then the total votes cast, and finally the total enrolled voters.
Calculate the total valid votes:
We are given that a candidate received 9261 votes, which is 75% of the valid votes. Let \(V\) be the total valid votes.
\[ 0.75 \times V = 9261 \]\[ V = \frac{9261}{0.75} \]\[ V = 12348 \]Calculate the total votes cast:
We are told that 2% of the votes cast were declared invalid. This means that the valid votes (12348) constitute 98% of the total votes cast. Let \(C\) be the total votes cast.
\[ 0.98 \times C = 12348 \]\[ C = \frac{12348}{0.98} \]\[ C = 12600 \]Calculate the total number of voters enrolled:
We know that 75% of the voters enrolled cast their votes. This means the total votes cast (12600) represent 75% of the total enrolled voters. Let \(E\) be the total number of voters enrolled.
\[ 0.75 \times E = 12600 \]\[ E = \frac{12600}{0.75} \]\[ E = 16800 \]A) The total number of voters enrolled in that election was 16800.
The 21st Commonwealth Games were held in:
The question asks to identify the host city of the 21st Commonwealth Games. This requires knowledge of major international sporting events and their venues.
The 21st Commonwealth Games, also known as Gold Coast 2018, were held on the Gold Coast, Queensland, Australia, between 4 and 15 April 2018.
A) Gold Coast — The 21st Commonwealth Games were indeed held in Gold Coast, Australia, in 2018.
To determine which assumption is implicit, we need to analyze the statement carefully and see what must be true for the statement to make sense. An implicit assumption is something that is not directly stated but is taken for granted or implied by the statement.
Correct Option: A) Only assumption II is implicit.
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.
Correct Option: D) 123 is the number that replaces the question mark, following the established pattern of subtracting 37 from the preceding term.
If cos x = −\( \frac{3}{5} \) and x lies in the third quadrant, then the value of sin x is:
To find the value of \(\sin x\), we can use the fundamental trigonometric identity \(\sin^2 x + \cos^2 x = 1\). After finding the magnitude of \(\sin x\), we will use the information that \(x\) lies in the third quadrant to determine the correct sign of \(\sin x\).
We know the identity:
\[ \sin^2 x + \cos^2 x = 1 \]Given \(\cos x = -\frac{3}{5}\). Substitute this into the identity:
\[ \sin^2 x + \left(-\frac{3}{5}\right)^2 = 1 \]\[ \sin^2 x + \frac{9}{25} = 1 \]Taking the square root of both sides:
\[ \sin x = \pm\sqrt{\frac{16}{25}} \]\[ \sin x = \pm\frac{4}{5} \]The problem states that \(x\) lies in the third quadrant. In the third quadrant, both sine and cosine functions are negative.
Therefore, \(\sin x\) must be negative.
Combining the magnitude and the sign, we get:
\[ \sin x = -\frac{4}{5} \]D) \( -\frac{4}{5} \) is the correct value for \(\sin x\) because in the third quadrant, the sine function is negative.
This is a word analogy question. We need to identify the relationship between the first pair of words ('Shoe' and 'Cobbler') and then find a word that shares the same relationship with 'Butcher'.
C) Meat — A butcher's primary work involves processing and selling meat. This fits the 'object' : 'person who works with/on that object' analogy perfectly, as a cobbler works with shoes, and a butcher works with meat.
The question asks to identify the founding director of BARC Mumbai. This is a factual question related to the history of India's nuclear program and prominent scientists.
D) Homi Jehangir Bhabha — Homi J. Bhabha was the visionary scientist who established the Atomic Energy Establishment, Trombay (AEET) in 1954, which was later renamed the Bhabha Atomic Research Centre (BARC) in his honor after his demise in 1966. He served as its first director and is known as the father of the Indian nuclear program.
The question asks to identify the malaria parasite from the given options. This requires knowledge of common disease-causing microorganisms.
A) Plasmodium is a genus of parasitic protozoa that causes malaria. There are several species of Plasmodium that infect humans, including P. falciparum, P. vivax, P. ovale, and P. malariae.