The problem is a coding-decoding question. We need to identify the pattern or rule used to transform "FAIL" into "UZRO" and then apply the same rule to find the code for "PASS". The most common patterns involve alphabetical position, reverse alphabetical position, or a fixed shift.
Correct Option: A) KZHH
The question asks to identify the political party to which Rajya Sabha member Praful Manoharbhai Patel belongs. This is a factual question related to current political affiliations in India. To answer this, one needs to have knowledge of prominent political figures and their party memberships.
Correct Option: D) NCP
The question asks to identify the empire founded by Hasan Gangu in 1347. This is a direct historical fact recall question related to medieval Indian history.
Correct Option: B) The Bahmani Sultanate was founded by Hasan Gangu (Alauddin Hasan Bahman Shah) in 1347. It was a significant Deccan sultanate that emerged during the decline of the Delhi Sultanate.
This question tests knowledge of Newton's Law of Universal Gravitation. We need to evaluate two statements based on this fundamental law of physics.
C) Only A is true while B is false.
To find the molecular weight of ozone, we need to know its chemical formula and the atomic weight of oxygen. The problem provides the atomic weight of 1 mole of oxygen. We will then multiply this by the number of oxygen atoms in an ozone molecule.
Thus, the molecular weight of ozone is \(48 \text{ g/mol}\).
Correct Option: B) 48 g/mol
The question asks for the host city of the 2017 Deaflympics. This requires knowledge of major international sporting events and their venues.
Correct Option: B) Samsun, Turkey
The 23rd Summer Deaflympics was indeed held in Samsun, Turkey, from July 18 to July 30, 2017. It was a significant international multi-sport event for deaf athletes.
The question asks to identify the block to which the first and second groups of the modern periodic table belong. This classification is based on the orbital in which the last electron enters.
Correct Option: B) s-block
This problem can be solved using the principles of set theory, specifically by applying the formula for the union of two sets and considering the total number of students and those who did not choose either subject. We need to find the number of students who opted for both subjects, which corresponds to the intersection of the two sets (Mathematics and Biology).
Identify the given information:
Calculate the number of students who chose at least one subject:
The number of students who chose at least one subject (Mathematics or Biology or both) is the total number of students minus those who chose neither.
Apply the Principle of Inclusion-Exclusion:
The formula for the union of two sets is:
Substitute the known values into the formula:
We want to find \( n(M \cap B) \), which represents the number of students who opted for both Mathematics and Biology.
Solve for \( n(M \cap B) \):
\[ 62 = 68 - n(M \cap B) \]\[ n(M \cap B) = 68 - 62 \]\[ n(M \cap B) = 6 \]Thus, 6 students opted for both Mathematics and Biology subjects.
Correct Option: D) 6
Nm–2 is the international (SI) unit of _________.
The question asks to identify the physical quantity for which Nm–2 is the international (SI) unit. This requires recalling the definitions and SI units of the given options.
Therefore, Nm–2 is the SI unit of pressure.
D) pressure. The unit Nm–2 is equivalent to N/m², which is the definition of pressure (Force per unit Area). The SI unit for pressure is Pascal (Pa), where \(1 \text{ Pa} = 1 \text{ N/m}^2\).
This problem involves relative speed. When a vehicle passes a person walking in the same direction, the effective speed is the difference between the vehicle's speed and the person's speed. The distance covered in this scenario is the length of the vehicle itself. We will set up two equations based on the given information and solve for the speed of the mini-van and its length.
D) 2.25 meter