This problem can be solved using the fundamental relationship between the product of two numbers, their Highest Common Factor (HCF), and their Least Common Multiple (LCM). The relationship states that for any two positive integers, the product of the numbers is equal to the product of their HCF and LCM.
Thus, the HCF of the two numbers is 36.
B) 36 — The calculation confirms that the HCF is 36, based on the property that the product of two numbers equals the product of their HCF and LCM.
The question asks about the nature of collateral security in the context of a loan. To answer this, we need to understand what collateral is and how it relates to the borrower and the lender.
Correct Option: C) an asset of the borrower
Collateral security is an asset that the borrower owns and pledges to the lender as a guarantee for the loan. The ownership of the asset remains with the borrower unless they default on the loan, in which case the lender may take possession of it.
The question asks to identify the primary constituent acid of vinegar. This is a direct knowledge-based question related to common chemical compounds and their everyday applications.
Correct Option: B) Acetic — Acetic acid (\(\text{CH}_3\text{COOH}\)) is the primary constituent of vinegar, typically present in concentrations of 5-20% by volume. It is produced through the fermentation of ethanol.
Based on the 26th January 2002 legislation, what is NOT true with respect to the rules for flying the Indian Tricolour?
The flag cannot be intentionally allowed to touch the ground
The flag cannot be used for communal gains
The tricolour cannot be used as a festoon, rosette or bunting
Private citizens have no right to fly the flag on their premises
The question asks to identify the statement that is NOT true regarding the rules for flying the Indian Tricolour, based on the legislation of January 26, 2002. This refers to the Flag Code of India, 2002, which consolidated and modified earlier rules and conventions.
D) Private citizens have no right to fly the flag on their premises
This statement is incorrect. Prior to January 26, 2002, private citizens were generally not allowed to fly the National Flag except on national days. However, a landmark judgment by the Supreme Court of India in 2004 (Union of India v. Naveen Jindal) affirmed that the right to fly the National Flag freely with respect and dignity is a fundamental right under Article 19(1)(a) of the Constitution. This right was incorporated into the Flag Code of India, 2002, which permits private citizens to fly the flag on any day, subject to observing the provisions of the Code. Therefore, private citizens do have the right to fly the flag on their premises, making this statement false.
The question asks to identify the recipient of the Arjuna Award in Athletics for the year 2016. This requires knowledge of sports awards given in India, specifically the Arjuna Award recipients for that particular year and discipline.
Correct Option: B) Lalita Babar was awarded the Arjuna Award in 2016 for her achievements in Athletics, specifically in the 3000m steeplechase event. She is a prominent Indian long-distance runner.
This is an analogy question. We need to identify the relationship between the first pair of words (Flower : Bud) and then find a word that shares the same relationship with 'Plant'. The relationship is typically one of development or origin.
Correct Option: C) Seed
Which is the correct ascending order of the given numbers?
\( \frac{17}{24} \), \( \frac{3}{4} \), \( \frac{2}{3} \)
\( \frac{17}{24} \), \( \frac{3}{4} \), \( \frac{2}{3} \)
\( \frac{3}{4} \), \( \frac{2}{3} \), \( \frac{17}{24} \)
\( \frac{2}{3} \), \( \frac{3}{4} \), \( \frac{17}{24} \)
\( \frac{2}{3} \), \( \frac{17}{24} \), \( \frac{3}{4} \)
To arrange fractions in ascending order, we need to compare their values. A common method is to convert all fractions to have a common denominator or convert them to decimal form. Using a common denominator is often more precise and avoids rounding errors.
D) \( \frac{2}{3} \), \( \frac{17}{24} \), \( \frac{3}{4} \) is the correct ascending order of the given numbers, as determined by converting them to a common denominator and comparing their numerators.
A woman invests Rs. 100 at the start of each year at 5% compound interest per annum. How much will her investment be, at the end of the 2nd year?
This problem involves calculating the future value of investments made at the beginning of each year, earning compound interest. We need to calculate the amount accumulated by each investment separately and then sum them up at the end of the second year.
The first investment of Rs. 100 is made at the start of the 1st year. This investment will earn interest for 2 full years.
Using the compound interest formula \(A = P(1 + R/100)^N\), where:
Amount after 2 years for the first investment:
\[ A_1 = 100 \left(1 + \frac{5}{100}\right)^2 \]\[ A_1 = 100 \left(1 + 0.05\right)^2 \]\[ A_1 = 100 \left(1.05\right)^2 \]\[ A_1 = 100 \times 1.1025 \]\[ A_1 = \text{Rs. } 110.25 \]The second investment of Rs. 100 is made at the start of the 2nd year. This investment will earn interest for 1 full year (from the start of the 2nd year to the end of the 2nd year).
Using the compound interest formula \(A = P(1 + R/100)^N\), where:
Amount after 1 year for the second investment:
\[ A_2 = 100 \left(1 + \frac{5}{100}\right)^1 \]\[ A_2 = 100 \left(1.05\right) \]\[ A_2 = \text{Rs. } 105.00 \]The total investment will be the sum of the amounts from both investments.
\[ \text{Total Amount} = A_1 + A_2 \]\[ \text{Total Amount} = 110.25 + 105.00 \]\[ \text{Total Amount} = \text{Rs. } 215.25 \]Correct Option: A) Rs. 215.25
The question asks to identify the book that was NOT authored by R.K. Narayan from the given options. This requires knowledge of R.K. Narayan's bibliography and the authors of other prominent Indian English literature.
R.K. Narayan is a celebrated Indian author known for his works set in the fictional South Indian town of Malgudi. His notable works include "Swami and Friends", "The Bachelor of Arts", "The English Teacher", "Waiting for the Mahatma", "The Guide", and "Malgudi Days".
Based on this, "Two Leaves and a Bud" is not a work by R.K. Narayan.
Correct Option: C) Two Leaves and a Bud
The question asks to identify the scientific discovery associated with Henri Becquerel. This requires knowledge of major scientific discoveries and the scientists credited with them.
Correct Option: B) Radioactivity