This question tests logical reasoning, specifically the ability to identify implicit assumptions in a given statement. An assumption is something taken for granted or accepted as true without proof. We need to analyze the statement and determine what must be true for the statement to make sense.
Correct Option: C) Both 1 and 2 assumptions are implicit.
In _____, 71-year-old Ram Nath Kovind has been elected as the 14th President.
The question asks for the month and year when Ram Nath Kovind was elected as the 14th President of India. This is a factual question related to Indian political history and current affairs.
Correct Option: C) July 2017
This question asks us to identify implicit assumptions in a given statement. An implicit assumption is something that is taken for granted or presupposed by the statement, without being explicitly stated. We need to analyze whether the statement logically requires either of the given assumptions to be true.
C) No assumption is implicit. The statement is a critical idiom about television itself. It does not logically require either that all viewers are idiots or that all non-viewers are intelligent. These are extreme interpretations that go beyond what is implicitly conveyed by the statement.
Select the option that is related to the third term in the same way as the second term is related to the first term.
Gun : Armory :: Grain :?
The question asks us to find a relationship between the first two terms and apply the same relationship to the third term to find the fourth. This is a classic analogy question. We need to identify the logical connection between "Gun" and "Armory" and then apply that connection to "Grain".
Correct Option: A) Granary is the correct answer because a granary is a place where grain is stored, just as an armory is a place where guns are stored.
The question asks to identify the adopted son of Bajirao II who was denied his pension and title by the British. This refers to a key figure associated with the causes of the Revolt of 1857.
Correct Option: D) Nana Saheb was the adopted son of Bajirao II and was denied his pension and title by the British, which was a major cause of his participation in the 1857 Revolt.
This is a blood relations problem. We need to break down the statement made by Mr. X into smaller parts, starting from Ms. Y's perspective, to establish the relationship between Mr. X and Ms. Y.
Correct Option: A) Cousin
This problem involves calculating the rate of work for pipes filling and emptying a tank. We'll determine the individual filling/emptying rates per hour and then combine them to find the net rate when all pipes are open. Finally, we'll use the given total time to fill the tank to solve for the unknown emptying time, x.
The first pipe fills the tank in 1.8 hours.
\[ \text{Rate of first pipe} = \frac{1}{1.8} \text{ tank/hour} \]The second pipe fills the tank in 3 hours.
\[ \text{Rate of second pipe} = \frac{1}{3} \text{ tank/hour} \]The third pipe empties the tank in x hours. Since it's emptying, its rate will be negative.
\[ \text{Rate of third pipe} = -\frac{1}{x} \text{ tank/hour} \]When all three pipes are opened simultaneously, the tank is filled in 2.25 hours. So, the net filling rate is:
\[ \text{Combined rate} = \frac{1}{2.25} \text{ tank/hour} \]The combined rate is the sum of the individual rates:
\[ \frac{1}{1.8} + \frac{1}{3} - \frac{1}{x} = \frac{1}{2.25} \]First, convert decimals to fractions for easier calculation:
Substitute these values back into the equation:
\[ \frac{1}{9/5} + \frac{1}{3} - \frac{1}{x} = \frac{1}{9/4} \]\[ \frac{5}{9} + \frac{1}{3} - \frac{1}{x} = \frac{4}{9} \]\[ \frac{5}{9} + \frac{3}{9} - \frac{1}{x} = \frac{4}{9} \]\[ \frac{8}{9} - \frac{1}{x} = \frac{4}{9} \]\[ \frac{1}{x} = \frac{8}{9} - \frac{4}{9} \]\[ \frac{1}{x} = \frac{4}{9} \]\[ x = \frac{9}{4} \]\[ x = 2.25 \]B) 2.25 is the correct value for x, which represents the time taken by the third pipe to empty the tank.
This is a direction and distance problem. We need to visualize Suraj's path and use vector addition or coordinate geometry to find the unknown distance traveled in the north direction. We will set up a coordinate system with the starting point as the origin.
Correct Option: B) 4 km
The problem asks us to determine the number of female brown sheep given a total of 100 sheep. We need to evaluate if the provided statements, individually or together, are sufficient to answer this question. We will analyze each statement separately and then combine them if necessary.
Let's denote the following:
Correct Option: B) Both 1 and 2 together are sufficient
To find the square root of 33489, we can use a combination of estimation and checking the last digit of the number. We will first estimate the range of the square root and then use the unit digit of 33489 to narrow down the possible options.
Thus, the square root of 33489 is 183.
Correct Option: B) 183