To find the greatest 4-digit number divisible by 15, 25, 40, and 75, we first need to find the Least Common Multiple (LCM) of these numbers. Then, we find the largest 4-digit number and divide it by the LCM. The remainder will help us find the required number.
A) 9600 is the greatest 4-digit number divisible by 15, 25, 40, and 75, as calculated.
What is the Simple Interest earned on Rs.2,400 in 4 years 6 months at the rate of 4.5% per annum?
To calculate the Simple Interest (SI), we use the formula \(SI = \frac{P \times R \times T}{100}\), where \(P\) is the Principal amount, \(R\) is the Rate of interest per annum, and \(T\) is the Time period in years. The given time period needs to be converted entirely into years.
6 months is equal to \(\frac{6}{12}\) years, which simplifies to 0.5 years.
So, total time (\(T\)) = 4 years + 0.5 years = 4.5 years.
The formula for Simple Interest is:
\[ SI = \frac{P \times R \times T}{100} \]The Simple Interest earned is Rs. 486.
C) Rs.486 is the correct Simple Interest calculated using the given principal, rate, and time.
The question asks to identify the Indian city known as the 'Pink City'. This is a direct factual recall question related to general knowledge about Indian cities and their popular nicknames.
Correct Option: D) Jaipur is widely known as the 'Pink City' due to the distinctive color of its buildings in the old city, a tradition started in 1876.
The question describes a fundamental principle related to the refraction of light, specifically the relationship between the angle of incidence and the angle of refraction when light passes from one medium to another. We need to identify the law that defines this relationship.
Correct Option: D) Snell's Law is the correct answer because it precisely defines the relationship between the angles of incidence and refraction as described in the question.
The question asks to complete an analogy. The first part of the analogy, "Japan : Green Pheasant", establishes a relationship between a country and a specific bird. We need to identify the same type of relationship for India.
Correct Option: C) Peacock is the national bird of India, establishing the same relationship as Japan and its national bird, the Green Pheasant.
The question asks to identify the primary organ affected by Tuberculosis (TB). This requires knowledge of the common manifestation of the disease.
Correct Option: C) Lungs — Tuberculosis primarily affects the lungs, leading to symptoms like chronic cough, chest pain, and shortness of breath. It is the most common form of the disease and is known as pulmonary tuberculosis.
The question asks for the SI unit of weight. To answer this, we need to understand what weight is and how it relates to fundamental physical quantities, then identify its standard unit in the International System of Units (SI).
C) Newton is the SI unit of force, and since weight is a force, Newton is its SI unit.
How many rectangles are there in the given figure? 
To determine the number of rectangles in the given figure, we need to identify all possible combinations of lines that form rectangles. A rectangle is defined by two pairs of parallel lines.
Correct Option: B) 30
This question tests fundamental concepts of atomic structure, specifically the definitions of atomic number, mass number, protons, neutrons, and electrons. We need to recall how these quantities relate to each other in an atom.
Correct Option: B) Neutrons
To determine which pair of numbers is coprime, we need to find the greatest common divisor (GCD) for each pair. Two numbers are coprime (or relatively prime) if their GCD is 1. We will find the prime factors for each number in the pairs and then identify their GCD.
Correct Option: B) 33, 35