We need to find the share of C given the total amount and the relationships between the shares of A, B, and C. We can set up equations based on the given information and solve for the individual shares.
Let A's share be \(A\), B's share be \(B\), and C's share be \(C\).
The total amount is Rs. 355, so:
\[ A + B + C = 355 \quad \text{(Equation 1)} \]A had Rs. 20 more than B:
\[ A = B + 20 \quad \text{(Equation 2)} \]C had Rs. 15 more than A:
\[ C = A + 15 \quad \text{(Equation 3)} \]From Equation 2, we can express B in terms of A:
\[ B = A - 20 \quad \text{(Equation 4)} \]C is already expressed in terms of A in Equation 3:
\[ C = A + 15 \]Substitute \(B = A - 20\) and \(C = A + 15\) into \(A + B + C = 355\):
\[ A + (A - 20) + (A + 15) = 355 \]Combine like terms:
\[ 3A - 5 = 355 \]Add 5 to both sides:
\[ 3A = 355 + 5 \]\[ 3A = 360 \]Divide by 3:
\[ A = \frac{360}{3} \]\[ A = 120 \]So, A's share is Rs. 120.
Using Equation 3, \(C = A + 15\):
\[ C = 120 + 15 \]\[ C = 135 \]So, C's share is Rs. 135.
Using Equation 4, \(B = A - 20\):
\[ B = 120 - 20 \]\[ B = 100 \]Check the total: \(A + B + C = 120 + 100 + 135 = 355\). This matches the given total, so our calculations are correct.
C) Rs.135 — C's share is Rs. 135, as calculated by setting up and solving the system of equations.
Which of the following is a rich source of carbohydrates, proteins and fat?
The question asks to identify a food source that is rich in carbohydrates, proteins, and fats. We need to evaluate each option based on its primary nutritional composition.
Correct Option: C) Groundnut is a rich source of carbohydrates, proteins, and fats. It is particularly known for its high fat content (healthy fats), significant protein, and also provides carbohydrates.
To solve this problem, we need to perform addition and subtraction of decimal numbers. The key is to align the decimal points correctly before performing the operations. We will first add all the positive numbers and then subtract the negative number from the sum.
Identify the positive numbers:
Add the positive numbers:
Align the decimal points and add:
\[ \begin{array}{r} 143.2760 \\ 4031.0001 \\ 400.0010 \\ 321.1000 \\ +\quad 9.0000 \\ \hline 4904.3771 \\ \end{array} \]
So, the sum of positive numbers is \(4904.3771\).
Identify the negative number:
Subtract the negative number from the sum:
Now, subtract \(0.09\) from \(4904.3771\):
\[ \begin{array}{r} 4904.3771 \\ -\quad 0.0900 \\ \hline 4904.2871 \\ \end{array} \]
The final result is \(4904.2871\).
Correct Option: D) 4904.2871
1 \( \frac{1}{5} \) × 2 \( \frac{2}{3} \) × 3 \( \frac{1}{3} \) × \( \frac{3}{8} \) =
To solve this problem, we need to multiply a series of mixed fractions and a proper fraction. The key steps involve converting all mixed fractions into improper fractions, then multiplying the numerators and denominators, and finally simplifying the resulting fraction to its lowest terms.
B) 4 is the correct answer. After converting mixed fractions to improper fractions and simplifying the multiplication, the result is 4.
The question asks for the average temperature of the surface water of the oceans. This is a factual recall question related to oceanography and general geography. We need to identify the globally accepted average value for this parameter.
Correct Option: B) 17.2° Celsius is the widely accepted average temperature for the surface water of the world's oceans.
The question asks about the relationship between day-light hours and the rate of photosynthesis. Photosynthesis is the process by which plants convert light energy into chemical energy. Light is a crucial factor for this process.
Correct Option: A) When day-light hours are increased, the rate of photosynthesis increases because light is a primary requirement for the process, and more light duration allows for more energy conversion.
The author of the book 'Ratnawali' is:
The question asks to identify the author of the Sanskrit drama 'Ratnawali'. This requires knowledge of ancient Indian literature and prominent historical figures associated with it.
C) Harsh Vardhan
Harsh Vardhan (c. 590–647 CE) was an Indian emperor who ruled northern India from 606 to 647 CE. He was not only a powerful ruler but also a patron of art and culture, and a distinguished playwright himself. He is credited with writing three Sanskrit plays: 'Ratnawali', 'Priyadarshika', and 'Nagananda'.
The object of 'Sangam Yojana' is:
to make Ganga water pollution free
to ensure welfare of handicapped
to unite various groups of Hindus
None of the above
The question asks about the objective of the 'Sangam Yojana'. To answer this, one needs to recall the specific government schemes and their primary goals, particularly those related to social welfare or environmental initiatives.
Correct Option: B) to ensure welfare of handicapped
The question asks about the number of players on each side in a standard game of Basketball. This is a factual question related to the rules of the sport.
Correct Option: A) 5 is the correct answer because a standard basketball team fields five players on the court at a time.
The question asks about the type of mirror used by ENT (Ear, Nose, and Throat) specialists. This requires knowledge of the properties of different types of mirrors and their applications, especially in medical fields.
B) Concave mirror. ENT specialists use concave mirrors because they produce magnified, virtual, and erect images when the object (the part of the body being examined) is placed between the mirror's pole and its principal focus. This magnification helps them to see the small internal structures of the ear, nose, and throat clearly for diagnosis and treatment.