Which is India's first defence satellite?
The question asks to identify India's first dedicated defence satellite. This requires knowledge of India's satellite programs and their specific applications, particularly in the defence sector.
GSAT-7, also known as Rukmini, is India's first dedicated military satellite. It was launched on August 30, 2013, by the European Ariane 5 rocket from Kourou, French Guiana. This geostationary satellite provides secure communication capabilities to the Indian Navy, enhancing its maritime communication and surveillance.
Below are given statements followed by two conclusions I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts.
Statements:
A: All mothers are aunts.
B: All aunts are ladies.
Conclusions:
I. All ladies are mothers.
II. All ladies are aunts.
Decide which of the below options logically follows the given Statement.
Only conclusion I follows
Only conclusion II follows
Both conclusions I and II follow
Neither conclusion I nor II follows
This is a syllogism problem that can be solved using Venn diagrams or by analyzing the logical flow of the statements. We need to determine which conclusions logically follow from the given statements, treating the statements as absolutely true, regardless of common knowledge.
D) Neither conclusion I nor II follows
As explained in the step-by-step analysis, neither conclusion I (All ladies are mothers) nor conclusion II (All ladies are aunts) can be logically derived from the given statements. The statements establish a hierarchy from mothers to aunts to ladies, but do not allow for reversing this hierarchy to conclude that all members of a larger set are also members of a smaller, contained set.
Which of the following ratios is the greatest?
To find the greatest ratio among the given options, we can convert each ratio into a decimal or a fraction with a common denominator. Alternatively, we can compare them pairwise. A useful trick for comparing fractions of the form \(\frac{n}{d}\) where the difference \(d-n\) is constant or small, is to note that as \(n\) and \(d\) increase, the value of the fraction also increases.
Correct Option: D) 21:29 is the greatest ratio because it has the largest numerator among the fractions where the difference between the denominator and numerator is constant (8).
The question asks to identify the odd one out from the given options. This implies that three of the options share a common characteristic, while one does not. We need to analyze the nature of each crop listed.
Correct Option: B) Rice is the odd one out because it is primarily a staple food crop, whereas Coffee, Tobacco, and Sugarcane are primarily cash crops.
The question asks about the entity responsible for designing the passenger reservation system of Indian Railways. This requires knowledge of the organizations involved in the IT infrastructure of Indian Railways.
Correct Option: B) CRIS is the Centre for Railway Information Systems, an organization under the Ministry of Railways, Government of India. It is responsible for designing, developing, and implementing most of the critical information technology systems for Indian Railways, including the Passenger Reservation System (PRS), Freight Operations Information System (FOIS), and others.
What is the chemical name of chalk?
Calcium Sulphate
Calcium Nitrate
Calcium Carbonate
Calcium Phosphide
The question asks for the chemical name of chalk. This is a common general knowledge question often encountered in competitive exams, testing basic chemistry knowledge about everyday substances.
Correct Option: C) Calcium Carbonate
Chalk is primarily composed of calcium carbonate (\( \text{CaCO}_3 \)). It is a common mineral found in rocks like limestone and marble. It is widely used in various applications, including as a writing material, in construction, and as an antacid.
The question asks to identify the title of a specific Harry Potter book, written by Jack Thorne, that was published in mid-2016. This tests general knowledge about the Harry Potter series and its related works.
Correct Option: A) Harry Potter and the Cursed Child — This is the correct title of the play script written by Jack Thorne, which was published in mid-2016.
If 3.5x = 0.07y, then find the result of \(\left[\frac{y-x}{y+x}\right]\)
\( \frac{51}{49} \)
\( \frac{49}{53} \)
\( \frac{49}{51} \)
\( \frac{53}{57} \)
The problem requires us to find the value of an expression involving \(x\) and \(y\), given a relationship between \(3.5x\) and \(0.07y\). The strategy is to first establish the ratio of \(y\) to \(x\) from the given equation and then substitute this ratio into the target expression.
Convert decimals to fractions: The given equation is \(3.5x = 0.07y\). We can write \(3.5\) as \(\frac{35}{10}\) or \(\frac{7}{2}\) and \(0.07\) as \(\frac{7}{100}\). So, the equation becomes:
\[ \frac{7}{2}x = \frac{7}{100}y \]Simplify the equation to find the ratio of \(y\) to \(x\): Divide both sides by 7:
\[ \frac{1}{2}x = \frac{1}{100}y \]To find the ratio \(\frac{y}{x}\), we can rearrange the equation:
\[ \frac{y}{x} = \frac{100}{2} \] \[ \frac{y}{x} = 50 \]This implies \(y = 50x\).
Substitute the relationship into the target expression: The expression we need to evaluate is \(\left[\frac{y-x}{y+x}\right]\). Substitute \(y = 50x\) into the expression:
\[ \frac{50x - x}{50x + x} \]Simplify the expression:
\[ \frac{49x}{51x} \]Assuming \(x \neq 0\), we can cancel \(x\) from the numerator and the denominator:
\[ \frac{49}{51} \]C) The calculated value of the expression \(\left[\frac{y-x}{y+x}\right]\) is \(\frac{49}{51}\).
The question asks about the specific right granted by Article 29 of the Indian Constitution. To answer this, one needs to recall the provisions of Article 29 and distinguish it from other fundamental rights.
Correct Option: C) Protection of interests of minorities
Article 29 directly addresses the protection of the interests of minorities by safeguarding their distinct language, script, and culture, and ensuring non-discrimination in state-aided educational institutions on certain grounds.
The problem asks us to find 150% of a number X. X is defined as the least number which, when divided by 6, 7, 8, 9, and 12, leaves specific remainders. This is a classic problem involving the concept of LCM (Least Common Multiple) and remainders. We will first find the LCM of the divisors and then use the relationship between the divisors and remainders to find X.
Identify the divisors and remainders:
Notice that the difference between each divisor and its respective remainder is constant, which is 4. This is a key observation for solving this type of problem.
Find the LCM of the divisors:
The divisors are 6, 7, 8, 9, and 12.
Determine the number X:
When the difference between the divisor and remainder is constant, the least number X is given by the formula: \(\text{LCM} - \text{constant difference}\).
Calculate 150% of X:
We need to find 150% of 500.
Thus, 150% of X is 750.
A) 750 is the correct answer, as calculated.