The question asks for the date on which Goa Liberation Day is celebrated. This is a factual question related to Indian history and national observances. To answer correctly, one needs to recall the specific date of Goa's liberation from Portuguese rule.
B) 19 December — Goa Liberation Day is celebrated on December 19 each year to mark the day in 1961 when the Indian Armed Forces liberated Goa from Portuguese rule.
The question asks to identify the oldest mountain range in India. This requires knowledge of the geological history and formation periods of major mountain ranges in the Indian subcontinent.
Correct Option: B) Aravali Range
The Aravalli Range is indeed the oldest mountain range in India, and one of the oldest in the world. It is a relict of a much larger ancient fold mountain system that formed during the Precambrian era, approximately 2.5 billion to 1.5 billion years ago. Over geological time, it has been significantly eroded, and what remains today are its weathered peaks.
The problem describes the seating arrangement of six persons in a straight row facing west. We need to deduce the exact position of each person based on the given clues and then identify the immediate neighbour of A and F.
Identify the direction and total positions: Six persons are sitting in a straight row facing west. This means the leftmost position is the first, and the rightmost is the sixth. Let's denote the positions as P1, P2, P3, P4, P5, P6 from left to right.
Row: P1 P2 P3 P4 P5 P6
Place D: "D is sitting at the end of the row." Since they are facing west, the ends are P1 and P6. We will consider two cases initially, but other clues will help narrow it down.
Place E: "E is sitting at the first position in the row." Since they are facing west, the first position is the leftmost one (P1).
Row: E _ _ _ _ _
This means D cannot be at P1, so D must be at P6.
Row: E _ _ _ _ D
Place B: "B is sitting third to the left of D." D is at P6. Counting three positions to the left of D (P6) means P5, P4, P3. So, B is at P3.
Row: E _ B _ _ D
Place A: "A is sitting to the immediate right of B." B is at P3. The immediate right of B (P3) is P4. So, A is at P4.
Row: E _ B A _ D
Place C: "A is an immediate neighbour of B and C." A is at P4, and B is at P3. For A to be a neighbour of C, C must be at P5.
Row: E _ B A C D
Place F: "F is sitting between A and E." A is at P4, and E is at P1. The positions between P1 and P4 are P2 and P3. We already have B at P3. So, F must be at P2.
Row: E F B A C D
Verify all conditions:
Identify the immediate neighbour of A and F:
The final arrangement is: E F B A C D
A is at P4.
F is at P2.
The person who is an immediate neighbour of both A and F is the person sitting between them. In the sequence E F B A C D, B is between F and A.
D) B is the immediate neighbour of A (A is at P4, B is at P3) and F (F is at P2, B is at P3).
The question asks for the phenomenon that connects an induced current in a coil with a change in magnetic flux. This directly points to a fundamental principle in electromagnetism.
B) electromagnetic induction — This phenomenon precisely describes the generation of an electromotive force (and thus current) in a conductor due to a change in the magnetic flux through it. This is the core principle behind generators, transformers, and many other electrical devices.
The question asks for the definition of explicit cost. We need to evaluate each option based on the standard economic definition of explicit costs, distinguishing them from implicit costs and opportunity costs.
B) It is a direct payment made to others in the course of running a business, such as wages, rent and materials.
This option accurately defines explicit costs as actual monetary payments made by a firm to external parties for the use of their factors of production or services. Examples include wages paid to employees, rent paid for premises, and payments for raw materials.
This problem involves simple interest. We are given a scenario where an increase in the interest rate leads to a specific increase in the total interest earned over a fixed period. We can use the formula for simple interest to relate the principal amount, rate, time, and interest earned. The key is to understand that the additional interest earned is solely due to the additional percentage rate.
The formula for simple interest (SI) is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]Where:
The extra interest of ₹640 is earned because the rate of interest increased by 2% for 4 years. This means that the principal amount \(P\) earned an additional 2% interest per year for 4 years.
The additional interest can be calculated using the formula with the additional rate:
\[ \text{Additional SI} = \frac{P \times (\text{Additional } R) \times T}{100} \]We have:
So, we can write the equation:
\[ 640 = \frac{P \times 2 \times 4}{100} \]Now, solve for \(P\):
\[ 640 = \frac{8P}{100} \] \[ 640 \times 100 = 8P \] \[ 64000 = 8P \] \[ P = \frac{64000}{8} \] \[ P = 8000 \]Thus, the sum invested was ₹8000.
Correct Option: C) 8000
The question asks to identify the organization for which the Union Cabinet approved a Rs 1.64 lakh crore revival package on July 27, 2022. This is a factual question related to current affairs and government decisions concerning public sector undertakings.
Correct Option: A) Bharat Sanchar Nigam Limited (BSNL) — The Union Cabinet approved a revival package of Rs 1.64 lakh crore for BSNL on July 27, 2022. This package was intended to improve BSNL's services, de-stress its balance sheet, and expand its fibre network.
We need to find a two-digit number based on two conditions: the sum of its digits is 15, and when its digits are interchanged, the new number exceeds the original number by 9. We can solve this by setting up a system of two linear equations with two variables representing the digits, or by testing the given options.
B) 78 is the number that satisfies both conditions.
The question asks to identify an insectivorous plant from the given options. Insectivorous plants are carnivorous plants that derive most of their nutrients (but not energy) from trapping and consuming insects and other arthropods. This adaptation typically occurs in environments where the soil is poor in nutrients, especially nitrogen.
C) Pitcher
Pitcher plants (e.g., Nepenthes, Sarracenia) are well-known insectivorous plants. They have modified leaves that form a pitcher-like structure, which serves as a pitfall trap. Insects are attracted by nectar and color, fall into the pitcher, and are then digested by enzymes secreted by the plant.
This problem involves calculating the shortest distance between the starting point (resort) and the final point (home) after a series of movements. We can solve this by breaking down the movements into horizontal (East-West) and vertical (North-South) components and then using the Pythagorean theorem, if necessary, or by simply finding the net displacement in each direction.