The question asks for the launch date of India's hundredth space mission. This is a factual question related to India's space program, specifically ISRO's historical milestones. To answer this, one needs to recall or know the specific date of this significant event.
Correct Option: A) September, 2012
The question asks to identify Satyajit Ray's film that specifically portrays the decline of the aristocratic zamindari lifestyle. This requires knowledge of Satyajit Ray's filmography and the central themes of his major works.
Correct Option: D) Jalsaghar
Jalsaghar (1958), also known as The Music Room, is a masterpiece by Satyajit Ray that vividly depicts the decaying grandeur of a Bengali zamindar, Biswambhar Roy, who squanders his remaining wealth on extravagant musical performances (jalsas) to maintain his prestige, even as his estate crumbles around him. The film beautifully captures the melancholic end of an era and the struggle of an aristocrat unable to adapt to changing times.
In the given figure, ∠ABD = 55° and ∠ACD = 30°. If ∠BAC = y° and non-reflex ∠BDC = x°, then what is the value of x – y?
To find the value of \(x - y\), we need to use the properties of angles in a triangle and the exterior angle theorem.
Correct Option: C) 85
Select the option that is best represented by the given Venn diagram. 
Doctor, Man, Student
Family, Parents, Children
Table, Chair, Furniture
Gold, Silver, Ornaments
The Venn diagram provided consists of three intersecting circles labeled A, B, and C. The task is to identify which option is best represented by this diagram based on the relationships between the elements.
Correct Option: A) Doctor, Man, Student
The question asks for the year when the first blast furnace of the Rourkela Steel Plant was inaugurated by the then President of India. This is a factual question related to Indian industrial history.
Correct Option: C) 1959
When is International Dance Day celebrated?
The question asks for the specific date on which International Dance Day is celebrated. This is a factual recall question related to important international days.
Correct Option: C) 29 th April
This question tests knowledge of significant mergers in the Indian banking sector, specifically those that occurred in 2019. Candidates should recall the major bank consolidation events of that period.
Correct Option: A) Dena Bank and Vijaya Bank merged with Bank of Baroda. This merger was effective from April 1, 2019, as part of the government's consolidation plan for public sector banks.
To solve this problem, we need to first find the sum of the two given numbers and their difference. Then, we add these two results (the sum and the difference) to get the final value.
\[ \text{Sum} = 3.03 + 2.05 \]
Adding them:
\[ \begin{array}{r} 3.03 \\ + 2.05 \\ \hline 5.08 \end{array} \]
So, the sum is \(5.08\).
\[ \text{Difference} = 3.03 - 2.05 \]
Subtracting them:
\[ \begin{array}{r} 3.03 \\ - 2.05 \\ \hline 0.98 \end{array} \]
So, the difference is \(0.98\).
\[ \text{Final Value} = \text{Sum} + \text{Difference} \]
\[ \text{Final Value} = 5.08 + 0.98 \]
Adding these two values:
\[ \begin{array}{r} 5.08 \\ + 0.98 \\ \hline 6.06 \end{array} \]
Thus, the final value is \(6.06\).
C) The calculated value is \(6.06\), which matches option C.
The question asks for the year when India's first nuclear reactor, Apsara, was formally inaugurated by Prime Minister Jawaharlal Nehru. This is a factual question related to India's scientific and technological history.
B) 1957 — The Apsara reactor, India's first nuclear reactor, was formally inaugurated by Prime Minister Jawaharlal Nehru in 1957, following its criticality in August 1956.
The problem asks us to identify the odd pair out of four given options. We need to find a pattern or relationship that holds true for three of the pairs and is violated by one pair.