To answer this question, one needs to have a clear understanding of the geographical location of Indian states and their international borders. Visualizing the map of Northeast India is crucial.
Therefore, Assam is the Indian state that shares its border with both Bhutan and Bangladesh.
Correct Option: A) Assam
The problem asks us to identify the lowest and highest numbers from a given set of three-digit numbers, then extract their first digits, and finally subtract the first digit of the lowest number from the first digit of the highest number.
A) 5 is the correct result obtained from the subtraction.
This question tests knowledge about key economic indicators, specifically the Labour Force Participation Rate (LFPR) for women, as reported by the Periodic Labour Force Survey (PLFS) for a specific period (2021-22). To answer this, one needs to recall the official statistics released by the National Sample Survey Office (NSSO) under the Ministry of Statistics and Programme Implementation.
Correct Option: D) 32.8%
The question asks about the initial status of the Maitrakas of Valabhi in relation to other major powers of their time. To answer this, we need to recall the historical context of the Maitrakas' rise to power, particularly their origins and early political affiliations.
B) subordinates of the Guptas — The Maitrakas, under their founder Bhatarka, began their political career as military governors or feudatories serving the Gupta Empire. As the Gupta power declined, they gradually established an independent kingdom in Valabhi.
The problem asks us to find the missing letter clusters, # and %, based on a pattern observed in the given letter-cluster pair. We need to analyze the relationship between the letters in the known pair (NHP) and then apply the same logic to find # from NHP, and % from RLT.
D) # = OIQ, % = QKS
To solve this problem, we need to identify the highest and lowest numbers from the given list, then extract specific digits from them as per the question's instructions, and finally perform the subtraction.
A) -5 is the correct answer because, as calculated, the third digit of the lowest number (4) minus the second digit of the highest number (9) results in -5.
To find the mode of a given set of data, we need to identify the value that appears most frequently in the dataset. This involves counting the occurrences of each unique number.
Correct Option: A) 74 is the mode because it appears 4 times, which is more than any other number in the given dataset.
This problem involves calculating the principal amount given the future value (amount), simple interest rate, and time period. We will use the formula for simple interest and the formula for the amount to find the principal.
The formula for simple interest is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]The amount is the sum of the Principal (\(P\)) and the Simple Interest (\(\text{SI}\)):
\[ A = P + \text{SI} \]We can express the amount in terms of Principal, Rate, and Time:
\[ A = P + \frac{P \times R \times T}{100} \]This simplifies to:
\[ A = P \left(1 + \frac{R \times T}{100}\right) \]We have \(A = 720\), \(R = 4\), and \(T = 5\). Let's find \(P\):
\[ 720 = P \left(1 + \frac{4 \times 5}{100}\right) \]Divide both sides by 1.20:
\[ P = \frac{720}{1.20} \]\[ P = \frac{720}{\frac{120}{100}} \]\[ P = \frac{720 \times 100}{120} \]\[ P = \frac{72000}{120} \]\[ P = 600 \]Thus, the sum of money (principal) is ₹600.
A) 600 is the correct principal amount that will accumulate to ₹720 at 4% simple interest over 5 years.
The problem involves finding two numbers based on their difference and division properties, and then calculating the Highest Common Factor (HCF) of one of these numbers and another given number. We will use algebraic equations to find the two numbers and then the Euclidean algorithm or prime factorization to find the HCF.
Correct Option: C) 12