Find the simple interest (in closest integral ₹) on ₹4,000 at 5.25% per annum rate of interest for the period from 5 February 2024 to 6 April 2024
To find the simple interest, we need to calculate the principal amount, the rate of interest, and the time period. The time period must be calculated accurately in days and then converted to years, considering that 2024 is a leap year.
First, determine if 2024 is a leap year. A year is a leap year if it is divisible by 4, unless it is a century year not divisible by 400. Since 2024 is divisible by 4, it is a leap year, meaning February has 29 days.
Total number of days (\(T_{\text{days}}\)) = \(24 + 31 + 6 = 61\) days.
Since 2024 is a leap year, the total number of days in the year is 366.
\[ T_{\text{years}} = \frac{\text{Number of days}}{\text{Number of days in a leap year}} = \frac{61}{366} \text{ years} \]The formula for Simple Interest is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]\[ \text{SI} = \frac{4000 \times 5.25 \times \frac{61}{366}}{100} \]\[ \text{SI} = \frac{4000 \times 5.25 \times 61}{100 \times 366} \]\[ \text{SI} = \frac{40 \times 5.25 \times 61}{366} \]\[ \text{SI} = \frac{210 \times 61}{366} \]\[ \text{SI} = \frac{12810}{366} \]\[ \text{SI} = 35 \]The calculated simple interest is exactly ₹35.
D) 35. The simple interest calculated is exactly ₹35.
The question asks to identify the incorrect statement regarding the Annual Financial Statement (Budget) 2024-25. We need to evaluate each statement against the actual announcements made in the budget.
Correct Option: A) 3 only — Statement 3 is incorrect because the Budget 2024-25 announced the establishment of 10,000 Bio-resource Centres, not 20,000.
The question asks to identify a true statement about asexual reproduction. We need to evaluate each option based on the fundamental characteristics of asexual reproduction versus sexual reproduction.
A) It results in offspring genetically identical to the parent. This is the defining characteristic of asexual reproduction, where offspring are clones of the single parent.
The question asks for the number of chromosomes in a human male germ cell. This requires understanding the difference between somatic cells and germ cells, and the process of meiosis.
Correct Option: C) 23 Chromosomes. Human germ cells (sperm or egg) are haploid, meaning they contain half the number of chromosomes found in somatic cells. Since human somatic cells have 46 chromosomes, germ cells have 23 chromosomes.
The question asks for the original language of the classic Indian novel 'Chandrakanta'. To answer this, one needs to recall the author and the literary context of the novel.
Correct Option: A) Hindi
'Chandrakanta' is a famous Hindi novel written by Devaki Nandan Khatri. It was first published in 1888 and is considered a landmark work in Hindi literature, particularly in the genre of fantasy and mystery. Its immense popularity led to the creation of a television series based on it.
The question asks for the specific designation of an 'iqta' holder who also served as its administrative head during the Delhi Sultanate period. This requires knowledge of the administrative structure and terminology used in that era.
Correct Option: D) muqti was the designation for the holder of an 'iqta' who also functioned as its administrative head during the Delhi Sultanate.
The problem asks us to find a number that divides the result of adding 143 to a six-digit number, given that the original six-digit number is divisible by 91. We can represent the given conditions using algebraic expressions and then analyze the divisibility properties.
Let the six-digit number be \(N\). We are given that \(N\) is divisible by 91.
This means we can write \(N\) as a multiple of 91:
\[ N = 91k \]where \(k\) is some integer.
We are then told that 143 is added to this number. Let the new number be \(N'\).
\[ N' = N + 143 \]Substitute the expression for \(N\) into the equation for \(N'\):
\[ N' = 91k + 143 \]Now, we need to find which of the given options divides \(N'\). To do this, we can factorize the terms 91 and 143.
First, factorize 91:
\[ 91 = 7 \times 13 \]Next, factorize 143:
We can test for divisibility by small prime numbers. It's not divisible by 2, 3, 5. For 7: \(143 \div 7 = 20\) with a remainder of 3. For 11: \(143 \div 11 = 13\).
So,
\[ 143 = 11 \times 13 \]Substitute these factorizations back into the expression for \(N'\):
\[ N' = (7 \times 13)k + (11 \times 13) \]Now, we can factor out the common term, which is 13:
\[ N' = 13(7k + 11) \]From this expression, it is clear that \(N'\) is a multiple of 13. Therefore, \(N'\) is divisible by 13.
A) 13 — As shown in the step-by-step derivation, \(N' = 13(7k + 11)\), which means \(N'\) is divisible by 13.
The problem describes a coding pattern based on the English alphabetical order. We need to identify the relationship between the letters in the given pairs and then apply the same logic to the third word to find its coded form.
B) ORJN is the correct answer, as derived by applying the \(+2\) shift to each letter of MPHL.
This is a syllogism problem that can be solved using Venn diagrams or by applying rules of deduction. We will represent each statement as a relationship between categories and then check if the conclusions logically follow.
Since both Conclusion (I) and Conclusion (II) logically follow from the given statements, the correct option is A.
Correct Option: A) Both conclusions (I) and (II) follow.
The question asks to identify the FALSE statement about AIDS. We need to evaluate each option based on scientific facts regarding AIDS (Acquired Immunodeficiency Syndrome) and HIV (Human Immunodeficiency Virus).
Correct Option: B) AIDS can be transmitted through mosquito bites.