The question asks to identify the state that received the Best Film Friendly State Award at the National Film Awards in 2017. This is a factual question related to current affairs and national awards, requiring knowledge of the specific award recipients for that year.
C) Uttar Pradesh won the Best Film Friendly State Award at the 64th National Film Awards, 2017. The state was recognized for its comprehensive film policy, which included providing subsidies, incentives, and single-window clearances for film production, thereby creating a conducive environment for filmmakers.
Find the next figure in the following series.
The series involves a transformation of shapes, where each subsequent figure follows a pattern or rule. Observing these transformations helps identify the correct option.
Correct Option: B) The curve continues the transformation pattern from the third figure.
The question asks to identify the country visited by the then Indian President Ram Nath Kovind in March 2018. This is a factual question related to current affairs and international relations, specifically presidential visits during a particular period.
Correct Option: C) Mauritius was one of the countries visited by Indian President Ram Nath Kovind in March 2018. He visited Mauritius from March 11-14, 2018, as part of a two-nation tour that also included Madagascar.
The question asks to identify the type of energy that is the sum of kinetic energy and potential energy. This is a fundamental concept in physics, specifically in the study of mechanics and energy conservation.
\[ E_{\text{mechanical}} = KE + PE \]
Where:
Correct Option: D) Mechanical Energy
Mechanical energy is indeed the sum of kinetic energy (energy of motion) and potential energy (energy of position or configuration). This total energy is conserved in systems where only conservative forces (like gravity) are doing work.
This problem involves calculating the time taken by pipes to fill a tank, which is a classic work-rate problem. We need to determine the individual filling rates of pipes A, B, and C based on the given relationships, then combine their rates to find the total time. Finally, we'll calculate the time taken by pipes A and B together.
Define variables for time:
Let \(T_A\), \(T_B\), and \(T_C\) be the time taken by pipes A, B, and C respectively to fill the tank alone.
Establish relationships between times:
Define individual filling rates:
The rate of filling is the reciprocal of the time taken. Let \(R_A\), \(R_B\), and \(R_C\) be the rates of pipes A, B, and C respectively.
Calculate combined rate for all three pipes:
When all three pipes are opened simultaneously, they fill the tank in 33 hours. Their combined rate is \(R_{ABC} = \frac{1}{33}\).
So, \(R_A + R_B + R_C = \frac{1}{33}\)
Substitute the rates in terms of \(T_A\):
\[ \frac{1}{T_A} + \frac{1}{4 T_A} + \frac{1}{3 T_A} = \frac{1}{33} \]Solve for \(T_A\):
Find a common denominator for the left side (which is \(12 T_A\)):
\[ \frac{12}{12 T_A} + \frac{3}{12 T_A} + \frac{4}{12 T_A} = \frac{1}{33} \]\[ \frac{12 + 3 + 4}{12 T_A} = \frac{1}{33} \]\[ \frac{19}{12 T_A} = \frac{1}{33} \]\[ 12 T_A = 19 \times 33 \]\[ T_A = \frac{19 \times 33}{12} \]\[ T_A = \frac{19 \times 11}{4} \]\[ T_A = \frac{209}{4} = 52.25 \text{ hours} \]Calculate \(T_B\):
\[ T_B = 4 T_A = 4 \times 52.25 = 209 \text{ hours} \]Calculate the combined rate of pipes A and B:
If pipe C is not switched on, we need the combined rate of A and B, \(R_{AB}\).
\[ R_{AB} = R_A + R_B = \frac{1}{T_A} + \frac{1}{T_B} \]\[ R_{AB} = \frac{1}{52.25} + \frac{1}{209} \]\[ R_{AB} = \frac{1}{\frac{209}{4}} + \frac{1}{209} \]\[ R_{AB} = \frac{4}{209} + \frac{1}{209} \]\[ R_{AB} = \frac{4+1}{209} = \frac{5}{209} \]Calculate the time taken by pipes A and B together:
The time taken is the reciprocal of the combined rate:
\[ \text{Time}_{AB} = \frac{1}{R_{AB}} = \frac{209}{5} \]\[ \text{Time}_{AB} = 41.8 \text{ hours} \]Correct Option: D) 41.8
The question asks to identify the Minister of Women and Child Development in November 2018. This requires recalling the cabinet portfolios during that specific period.
In November 2018, Maneka Gandhi was the Union Minister for Women and Child Development in the Narendra Modi-led government.
D) Maneka Gandhi was indeed the Minister of Women and Child Development in November 2018.
The question asks to identify who among the given options was awarded the Bharat Ratna in 2015. This requires knowledge of the recipients of India's highest civilian award in that specific year.
Correct Option: A) Madan Mohan Malaviya was indeed awarded the Bharat Ratna posthumously in 2015, along with Atal Bihari Vajpayee.
Find the odd figure
The task is to identify the figure that is different from the others based on the arrangement and pattern of elements within the shapes.
Correct Option: B) The arrangement of elements is different from the others.
This question tests general knowledge about sports trophies and their associated sports. To answer correctly, one needs to know which trophy is linked to which sport.
Correct Option: C) Volleyball — The Indira Pradhan Trophy is specifically related to Volleyball. It is a significant trophy awarded in various volleyball tournaments, particularly in India.
The question asks to identify the sport in which the terms 'crawl', 'breaststroke', and 'butterfly' are commonly used. This requires knowledge of sports terminology.
A) Swimming is the correct answer because 'crawl' (front crawl), 'breaststroke', and 'butterfly' are all recognized and distinct swimming strokes.