The problem asks us to identify implicit assumptions behind the BEST bus company's decision to increase its fare by 10%. An assumption is something taken for granted or supposed in advance. We need to evaluate each given statement to see if the decision to hike fares would logically make sense only if that statement were true.
C) Both 1 and 2 are implicit
Both statements represent considerations that a bus company would implicitly take into account when deciding to increase fares. Assumption 1 addresses the competitive landscape and the potential for passenger migration, while Assumption 2 addresses the expected impact on overall demand and revenue. For the company to make the decision to increase fares, they must have made some implicit assessment regarding both these factors.
This question tests fundamental knowledge of temperature scales, specifically the relationship between the Celsius and Kelvin scales. The Kelvin scale is an absolute temperature scale, meaning its zero point (0 K) is absolute zero, where all molecular motion ceases. The Celsius scale is a relative scale, with 0 °C defined as the freezing point of water. Understanding the offset between these two scales is key to solving this problem.
The formula for converting Celsius (\(T_C\)) to Kelvin (\(T_K\)) is:
\[ T_K = T_C + 273.15 \]Often, for simplicity, especially in competitive exams, it's given as:
\[ T_K = T_C + 273 \]A) add 273 to the given temperature. This is correct because the Kelvin scale starts at absolute zero (0 K), which corresponds to approximately \(-273 \text{ °C}\). Therefore, to convert a Celsius temperature to Kelvin, you add 273 (or 273.15 for more precision) to the Celsius value.
This question is based on Dobereiner's Triads, an early attempt to classify elements. According to Dobereiner's Law of Triads, when elements are arranged in groups of three (triads) in increasing order of their atomic masses, the atomic mass of the middle element is approximately the arithmetic mean of the atomic masses of the other two elements.
Correct Option: B) The atomic mass of B is 23, which is calculated as the arithmetic mean of the atomic masses of A and C, according to Dobereiner's Law of Triads.
The question asks for an element that is always present on a battlefield. We need to consider the fundamental definition of a battlefield and what constitutes a battle.
Correct Option: B) Soldiers. A battlefield is defined by the presence of combatants, i.e., soldiers, engaged in conflict. Without soldiers, there is no battle, and thus no battlefield.
The problem describes a clock where numbers are replaced by letters. We need to determine which letter corresponds to the hour hand's position at a specific time (21:00 hours).
Understand the mapping: The problem states that number 1 is replaced by 'M', number 2 by 'N', and so on. This implies a sequential mapping from numbers to letters of the alphabet.
Determine the starting letter: The English alphabet starts with 'A'. If 1 is 'M', we need to find the position of 'M' in the alphabet. 'M' is the 13th letter of the alphabet.
Establish the rule for mapping: Since 1 maps to the 13th letter ('M'), the mapping rule is: \(\text{Letter Position} = \text{Clock Number} + 12\).
Convert 21:00 hours to a 12-hour format: A standard clock face only shows numbers 1 through 12. 21:00 hours in a 24-hour format corresponds to 9:00 PM in a 12-hour format. So, the hour hand will be pointing at the number 9.
Apply the mapping rule to the hour hand's position: The hour hand is at 9. Using the rule \(\text{Letter Position} = \text{Clock Number} + 12\):
\[ \text{Letter Position} = 9 + 12 = 21 \]Find the 21st letter of the alphabet: The 21st letter of the English alphabet is 'U'.
D) U is the correct answer because at 21:00 hours, the hour hand points to 9, and according to the given mapping rule (\(\text{Clock Number} + 12\)), the number 9 corresponds to the 21st letter of the alphabet, which is 'U'.
The question asks to identify the host city of the 2016 Olympic Games. This is a factual question related to major international sporting events, which is a common topic in general knowledge sections of competitive exams.
Correct Option: A) Rio de Janeiro was indeed the host city for the 2016 Summer Olympics, making it the first South American city to host the event.
The question asks to identify an analogous word pair. We need to find a relationship between the first pair ("Carpenter : Hammer") and then apply the same relationship to the given options to find the correct one.
Correct Option: B) Plumber : Wrench. This option establishes the same relationship as the original pair: "Profession : Primary Tool". A plumber uses a wrench as a primary tool for their work.
The following figure is embedded in one of the four answer figures. Which figure contains the problem figure?
The task is to identify which of the four answer figures contains the exact pattern of the problem figure.
Correct Option: C) The pattern matches the problem figure exactly.
The question asks to identify the Hindi writer who received the Vyas Samman in 2017 for her work 'Dukham Sukham'. This requires knowledge of literary awards and their recipients, specifically the Vyas Samman.
D) Mamta Kalia was indeed chosen for the Vyas Samman 2017 for her Hindi novel 'Dukham Sukham'. This is a factual piece of information related to Indian literary awards.
Which of the numbers given below is NOT rational?
\(\sqrt[3]{64}\)
\(\sqrt{8}\)
\(\sqrt[3]{8}\)
\(\sqrt{64}\)
The question asks to identify which of the given numbers is NOT rational. A rational number is any number that can be expressed as a fraction \(\frac{p}{q}\) where \(p\) and \(q\) are integers and \(q \neq 0\). An irrational number cannot be expressed in this form; its decimal representation is non-terminating and non-repeating. We need to evaluate each option and determine if it results in an integer or a fraction, or if it remains in a radical form that cannot be simplified to a rational number.
B) \(\sqrt{8}\) is the only number among the given options that cannot be expressed as a simple fraction of two integers. It simplifies to \(2\sqrt{2}\), which is an irrational number.