The question asks for the range of the Akash missile. This is a factual question related to India's indigenous missile defense system. Knowing the specifications of key defense equipment is important for competitive exams.
A) Around 25 km — This is the officially stated and widely recognized range of the Akash missile system.
To determine the IUPAC name of glycerol, we need to identify its chemical structure, count the longest continuous carbon chain, identify the functional groups, and number the carbon atoms such that the functional groups receive the lowest possible numbers.
D) Propane-1,2,3-triol is the correct IUPAC name for glycerol, as it accurately describes a three-carbon chain (propane) with three hydroxyl groups (-ol) located at positions 1, 2, and 3.
The question asks about the primary medium responsible for transporting salts within the human body. To answer this, we need to understand the functions of the circulatory system and its components.
D) Blood — Blood is the primary transport medium in the human body. It carries dissolved substances, including salts (in the form of ions), nutrients, oxygen, hormones, and waste products, to various parts of the body.
Select the Venn diagram that best represents the relationship between the classes:
Surgery, Calligraphy, Art.
To determine the correct Venn diagram representing the relationship between Surgery, Calligraphy, and Art, we need to consider the nature and overlap of these categories.
Correct Option: A) Option A correctly represents Calligraphy as a subset of Art, with Surgery as a separate category.
The question asks to identify the internet application used for real-time video chatting. This requires knowledge of common internet protocols and services.
Correct Option: D) Internet Relay Chat (IRC) is a protocol for real-time text messaging. While not directly for video, it represents the concept of real-time, interactive communication over the internet, which is a prerequisite for video chatting. Many modern real-time communication systems derive from or are conceptually similar to IRC's real-time nature.
This problem involves work and time. We need to find the individual time taken by A to complete the work. The key is to relate the efficiencies (or rates of work) of A, B, and C based on the given time relationships and then use their combined efficiency to find the total work. Once the total work is known, A's individual time can be calculated.
Let the time taken by A to complete the work alone be \(T_A\) days.
From the problem statement, A takes thrice the time taken by B. So, the time taken by B is:
\[ T_B = \frac{T_A}{3} \]
A takes five times the time taken by C. So, the time taken by C is:
\[ T_C = \frac{T_A}{5} \]
The work done by a person in one day is the reciprocal of the time taken to complete the work alone. So, their one-day work rates are:
When they work together, they complete the work in 5 days. This means their combined one-day work is \(\frac{1}{5}\).
\[ W_A + W_B + W_C = \frac{1}{5} \]
Substitute the individual work rates into the combined work equation:
\[ \frac{1}{T_A} + \frac{3}{T_A} + \frac{5}{T_A} = \frac{1}{5} \]
Combine the terms on the left side:
\[ \frac{1+3+5}{T_A} = \frac{1}{5} \]
\[ \frac{9}{T_A} = \frac{1}{5} \]
Solve for \(T_A\):
\[ T_A = 9 \times 5 \]
\[ T_A = 45 \text{ days} \]
Correct Option: D) 45
The number of days taken by A to complete the work alone is 45 days.
The question asks to identify the first Asian country to successfully enter Mars orbit in its inaugural attempt. This requires knowledge of space exploration history, specifically focusing on Mars missions by Asian nations.
Correct Option: C) India
India, through its Mars Orbiter Mission (MOM) or Mangalyaan, successfully entered Mars orbit on September 24, 2014. This achievement made India the first Asian nation to reach Mars orbit and the first country globally to do so on its very first attempt. This was a significant milestone for the Indian Space Research Organisation (ISRO).
How much amount of money (in ₹) at compound interest will amount to ₹5,000 in 3 years if the rate of interest is 2% for the 1st year, 3% for the 2nd year and 4% for the 3rd year?
\(\frac{5000}{1.2\times1.3\times1.4}\)
5000
\(\frac{5000}{1.02\times1.03\times1.04}\)
\(\frac{5000}{1.24}\)
This problem involves calculating the principal amount when the final amount, time period, and varying compound interest rates for each year are given. We will use the compound interest formula, adapted for different annual interest rates, to find the initial principal.
C) \(\frac{5000}{1.02\times1.03\times1.04}\) is the correct expression for the principal amount \(P\).
To find the percentage of failed candidates, we first need to calculate the total number of students, the number of boys and girls who passed, and then the number of boys and girls who failed. Finally, sum the failed students and express it as a percentage of the total number of students.
40% of girls passed.
\[ \text{Girls passed} = 40\% \text{ of } 600 = \frac{40}{100} \times 600 = 40 \times 6 = 240 \]Alternatively, if 40% passed, then \(100\% - 40\% = 60\%\) failed.
\[ \text{Girls failed} = 60\% \text{ of } 600 = \frac{60}{100} \times 600 = 60 \times 6 = 360 \]60% of boys passed.
\[ \text{Boys passed} = 60\% \text{ of } 1400 = \frac{60}{100} \times 1400 = 60 \times 14 = 840 \]Alternatively, if 60% passed, then \(100\% - 60\% = 40\%\) failed.
\[ \text{Boys failed} = 40\% \text{ of } 1400 = \frac{40}{100} \times 1400 = 40 \times 14 = 560 \]Correct Option: A) 46%
This question is based on blood relationships and family relationships. We need to determine how X is related to S by analysing the relationships involving X's father-in-law, his wife Y, their daughter S, and S's only sibling O. The key information is that O is married to J. Using the standard reasoning convention that different letters represent different individuals, we can identify X's spouse and determine the correct relationship.
The father-in-law of X is the father of X's spouse.
Y is the wife of X's father-in-law.
Therefore, Y is X's mother-in-law.
The question states that S is the daughter of Y.
Since Y is X's mother-in-law, S must be either X's spouse or the sister of X's spouse.
O is the only sibling of S.
Therefore, S and O are the two relevant children in the family, and X's spouse must be either S or O.
The question states that O is married to J.
Since X and J represent different individuals, O is not married to X.
Therefore, X's spouse must be S.
S is explicitly identified as a daughter, so S is female.
Since S is married to X, S is X's wife.
Consequently, X is S's husband.
The relationship asked is how X is related to S, not how S is related to X.
Therefore, the correct answer is Husband.
Correct Option: C) Husband
Y is X's mother-in-law, and S is Y's daughter. Since O is S's only sibling and is already married to J, X must be married to S. As S is female, X is her husband. Therefore, option C is correct.
