The question asks about the founder of the Ramakrishna Mission and the year of its establishment. This is a factual question related to modern Indian history and social-religious reform movements. Recalling the key figures and their associated organizations is crucial.
C) Swami Vivekanand
Swami Vivekananda (born Narendranath Datta) founded the Ramakrishna Mission on May 1, 1897, in Belur Math, near Kolkata. He established it to propagate the teachings of his guru, Ramakrishna Paramhansa, and to carry out philanthropic and social work.
The question asks to identify the primary storage carbohydrate in plants. We need to recall the different forms of carbohydrates and their roles in biological systems, specifically in plants.
C) Starch — Starch is the principal storage polysaccharide in plants. It is a polymer of glucose, consisting of two types of molecules: amylose (unbranched) and amylopectin (branched).
The question asks about the current number of parts and schedules in the Constitution of India as of 2022. This requires knowledge of the original structure of the Constitution and the changes made through various amendments over time.
Correct Option: C) 25; 12
This question asks us to identify which of the given assumptions are implicit in the statement. An implicit assumption is something that is not directly stated but must be true for the statement to make sense or be logically valid. We need to evaluate each assumption based solely on the information provided in the statement.
Correct Option: D) Only assumption I is implicit
Assumption I is a necessary condition for the statement to be true. If the main grid were not responsible for power transmission, its failure would not affect the city's power supply. The statement directly implies this connection.
The question asks to identify which of the given options is NOT a unit of heat energy. We need to recall the definitions and units of energy and power.
Based on the analysis, Kilowatt is the only option that is a unit of power, not energy.
Correct Option: C) Kilowatt
The question asks to identify the two banks that merged with Punjab National Bank (PNB) in 2020. This requires knowledge of recent banking mergers in India, specifically those implemented as part of the government's consolidation plan.
In August 2019, the Indian government announced a mega-merger plan for public sector banks. As part of this plan, ten public sector banks were consolidated into four larger banks. These mergers came into effect on April 1, 2020.
One of the key mergers was the consolidation of Oriental Bank of Commerce and United Bank of India into Punjab National Bank. This made PNB the second-largest public sector bank in India after State Bank of India.
C) Oriental Bank of Commerce and United Bank of India
This option correctly identifies the two banks that merged with Punjab National Bank on April 1, 2020, as part of the government's bank consolidation plan.
A) Syndicate Bank and Allahabad Bank — Syndicate Bank merged with Canara Bank, and Allahabad Bank merged with Indian Bank. They did not merge with PNB.
B) Dena Bank and Vijaya Bank — Dena Bank and Vijaya Bank merged with Bank of Baroda in 2019, prior to the 2020 mergers. They were not part of the 2020 PNB merger.
D) Andhra Bank and Corporation Bank — Andhra Bank and Corporation Bank merged with Union Bank of India in 2020. They did not merge with PNB.
To solve this problem, we need to follow the order of operations, often remembered by the acronym BODMAS/PEMDAS. This means we perform operations in the following order: Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), and Addition and Subtraction (from left to right).
The expression is \(325 \times 5 + 31 \times 21 - 22 \times (63 - 52)\).
First, calculate the value inside the parenthesis:
\[ 63 - 52 = 11 \]The expression becomes:
\[ 325 \times 5 + 31 \times 21 - 22 \times 11 \]Substitute these values back into the expression:
\[ 1625 + 651 - 242 \]B) The final calculated value is 2034.
The question asks to identify the term for the bends formed in a river when it erodes its banks on the outside of the channel. This is a direct definition question related to river morphology.
C) Meanders — Meanders are indeed the sinuous curves or bends in a river channel, formed by the erosion of the outer bank and deposition on the inner bank. This process is a fundamental aspect of river morphology in mature and old stages of a river's life cycle.
Simplify: \(\frac{8^{2}\times3^{3}}{\sqrt{64}\times\sqrt{81}}\)
To simplify the given expression, we will evaluate each term separately: the powers in the numerator and the square roots in the denominator. Then, we will perform the multiplication in both the numerator and the denominator, and finally, divide the numerator by the denominator.
The simplified value of the expression is 24.
A) 24 is the correct answer as derived from the step-by-step simplification.
This problem involves setting up and solving a system of linear equations based on the given age conditions. We will use variables to represent the current ages of the father and daughter, form equations from the given statements, solve for their present ages, and then calculate the daughter's age eight years from now.
Define variables:
Let \(F\) be the present age of the father.
Let \(D\) be the present age of the daughter.
Formulate the first equation:
The sum of their present ages is 80 years.
\[ F + D = 80 \quad \text{(Equation 1)} \]Formulate the second equation based on past ages:
Eight years ago:
Eight years ago, the father's age was seven times the age of his daughter.
\[ F - 8 = 7(D - 8) \]\[ F - 8 = 7D - 56 \]\[ F = 7D - 56 + 8 \]\[ F = 7D - 48 \quad \text{(Equation 2)} \]Solve the system of equations:
Substitute Equation 2 into Equation 1:
\[ (7D - 48) + D = 80 \]\[ 8D - 48 = 80 \]\[ 8D = 80 + 48 \]\[ 8D = 128 \]\[ D = \frac{128}{8} \]\[ D = 16 \]Find the father's present age (optional, but good for verification):
Substitute \(D = 16\) into Equation 1:
\[ F + 16 = 80 \]\[ F = 80 - 16 \]\[ F = 64 \]Calculate the daughter's age eight years from now:
Present age of daughter \(D = 16\) years.
Age after 8 years \(= D + 8\)
\[ = 16 + 8 \]\[ = 24 \text{ years} \]Correct Option: D) 24 years