This question tests basic knowledge of combustion. Combustion, or burning, is a chemical process that requires certain conditions to occur and sustain itself. We need to identify which essential component for burning is removed when a lit candle is covered by a glass tumbler.
Correct Option: B) Due to limited oxygen the covered candle got extinguished after some time.
This option correctly identifies oxygen as the limiting factor for combustion in a confined space. The candle flame consumes the available oxygen, and once it's depleted, the flame goes out.
The question asks to identify which of the given rivers flows into the Arabian Sea. This requires knowledge of the major river systems of India and their drainage basins.
Correct Option: D) Sabarmati — The Sabarmati river flows into the Gulf of Khambhat, which is an inlet of the Arabian Sea. It is one of the few major west-flowing peninsular rivers that directly drain into the Arabian Sea.
The question asks to identify an inexhaustible natural resource from the given options. An inexhaustible resource is one that is present in unlimited quantity and will not be depleted by human consumption.
A) Sunlight — Sunlight is a prime example of an inexhaustible natural resource. It is continuously supplied by the sun and is not depleted by human use. It is considered a renewable and perpetual resource.
We need to find a two-digit number based on two conditions: the sum of its digits is 8, and adding 36 to the number reverses its digits. We can solve this by setting up a system of linear equations based on the properties of two-digit numbers or by testing the given options.
Let the two-digit number be represented as \(10t + u\), where \(t\) is the tens digit and \(u\) is the units digit.
From the first condition, "the sum of its digits is 8":
\[ t + u = 8 \quad \text{(Equation 1)} \]When the digits are reversed, the new number is \(10u + t\).
From the second condition, "the digits of the number get reversed when 36 is added to it":
\[ (10t + u) + 36 = 10u + t \quad \text{(Equation 2)} \]Simplify Equation 2:
\[ 10t - t + u - 10u = -36 \] \[ 9t - 9u = -36 \]Divide by 9:
\[ t - u = -4 \quad \text{(Equation 3)} \]Now we have a system of two linear equations:
Add Equation 1 and Equation 3:
\[ (t + u) + (t - u) = 8 + (-4) \] \[ 2t = 4 \] \[ t = 2 \]Substitute the value of \(t\) into Equation 1:
\[ 2 + u = 8 \] \[ u = 8 - 2 \] \[ u = 6 \]The tens digit is 2 and the units digit is 6. Therefore, the number is \(10(2) + 6 = 26\).
Verify the conditions:
Correct Option: B) 26
The question asks for the date when the Jammu and Kashmir Reorganisation Bill, 2019 received the President's assent. This is a factual question related to a significant legislative event in India. Recalling the timeline of the bill's passage is key to answering it correctly.
Correct Option: A) August 09, 2019 — The Jammu and Kashmir Reorganisation Bill, 2019, received the President's assent on August 9, 2019, officially becoming an Act.
The question asks about the cause of the "polar-fleeing force" which was once proposed as a mechanism for continental drift. We need to identify which phenomenon is directly related to this force.
B) rotation of the earth — The polar-fleeing force is a hypothetical force proposed by Alfred Wegener, which he believed was caused by the Earth's rotation. The centrifugal force generated by the Earth's rotation would tend to push continental masses away from the poles towards the equator.
The problem presents a series of equations with two unknown operators, 'C' and 'D'. We need to deduce the operations represented by 'C' and 'D' by analyzing the given examples and then apply them to the final expression to find the result.
\(31 \text{ C } 19 \text{ D } 57 = 93\)
Let's try common arithmetic operations. If 'C' represents addition and 'D' represents subtraction, we get \(31 + 19 - 57 = 50 - 57 = -7\), which is not 93.
If 'C' represents addition and 'D' represents division, we get \(31 + 19 + 57 = 107\). This is also not 93.
Consider a combination of operations. Notice that 93 is a multiple of 31 (\(31 \times 3 = 93\)). Also, 57 is a multiple of 19 (\(19 \times 3 = 57\)). This suggests a pattern involving division and multiplication.
Let's assume 'C' represents addition and 'D' represents division. Then, the expression becomes:
\[ 31 + \frac{57}{19} = 31 + 3 = 34 \]This is not 93.
Let's try 'C' as multiplication and 'D' as addition. This would be \(31 \times 19 + 57\), which is too large.
What if 'C' is division and 'D' is multiplication? This would be \(\frac{31}{19} \times 57\), which is not an integer.
Let's consider the possibility that 'C' is addition and 'D' is division, but the order of operations is different, or the numbers are combined in a specific way. The result 93 is quite large. Let's try to get 93 from 31, 19, and 57.
Consider the operation: \((A + B) \times C\), \((A - B) \times C\), etc.
Let's try the pattern: first number + (third number / second number) * X or something similar.
What if 'C' represents addition and 'D' represents division, but the numbers are grouped differently?
Let's try the pattern: \((A - B) \times C\).
Consider the pattern: \((A + B) \times (\text{some operation on } C \text{ and } D)\).
Let's try: \((A + B) \times (\text{something})\).
Let's re-examine the first equation: \(31 \text{ C } 19 \text{ D } 57 = 93\).
If 'C' means 'add' and 'D' means 'divide', and the expression is interpreted as \(31 + (57 / 19)\):
\[ 31 + \frac{57}{19} = 31 + 3 = 34 \]This is not 93.
What if 'C' means 'multiply' and 'D' means 'add'?
\[ 31 \times 19 + 57 = 589 + 57 = 646 \]This is not 93.
Let's try this pattern: \(( \text{First Number} + \text{Second Number} ) \times ( \text{Third Number} / \text{Second Number} ) \).
For the first equation:
\[ (31 + 19) \times \frac{57}{19} = 50 \times 3 = 150 \]This is not 93.
Let's try a different pattern: \(( \text{First Number} - \text{Second Number} ) \times ( \text{Third Number} / \text{Second Number} ) \).
For the first equation:
\[ (31 - 19) \times \frac{57}{19} = 12 \times 3 = 36 \]This is not 93.
Let's consider the operations as follows:
Then for the first equation: \(31 - 19 \times 57\), which is a very large negative number.
Let's try the operations as follows:
Then for the first equation: \(31 + 19 \times 57\), which is a very large number.
Let's consider the operations as follows:
Then for the first equation: \(31 \div 19 + 57\), not an integer.
Let's try the operations as follows:
Then for the first equation: \(31 + 19 \div 57\), not an integer.
Let's try to find a pattern that involves multiplication and addition/subtraction.
Consider the pattern: \(( \text{First Number} + \text{Third Number} ) / \text{Second Number} \times \text{some factor}\).
Let's try the pattern: \(( \text{First Number} \times \text{Second Number} ) / \text{Third Number} + \text{some factor}\).
Let's try the operations:
For the first equation: \(31 \div 19 \times 57\). This is \[\frac{31}{19} \times 57 = 31 \times \frac{57}{19} = 31 \times 3 = 93\]. This matches the first equation!
Now, let's apply these operations to the second equation: \(52 \text{ C } 13 \text{ D } 5 = 20\)
Using 'C' as division and 'D' as multiplication:
\[ 52 \div 13 \times 5 = \frac{52}{13} \times 5 = 4 \times 5 = 20 \]This also matches the second equation!
Now that we have established the operations, apply them to the expression: \(98 \text{ C } 14 \text{ D } 11 = ?\)
Using 'C' as division and 'D' as multiplication:
\[ 98 \div 14 \times 11 = \frac{98}{14} \times 11 \]First, perform the division:
\[ \frac{98}{14} = 7 \]Then, perform the multiplication:
\[ 7 \times 11 = 77 \]So, \(98 \text{ C } 14 \text{ D } 11 = 77\).
The problem presents a series of letters. We need to identify the pattern in the series to determine the next letter. This is a common type of question in competitive exams that tests logical reasoning and pattern recognition.
C) N — Based on the pattern of adding 2 to the alphabetical position of the previous letter, the letter after L (12th position) is N (14th position).
This is a logical reasoning question where we need to evaluate conclusions based solely on the given statement. We must assume the statement is true and determine which conclusions logically follow from it, without introducing outside information or personal opinions.
C) Only Conclusion II follows. The statement "Most of the people like old songs" implies that there is something appealing about old songs that makes people like them. A strong emotional connection or the ability to "touch listener's feelings" is a very common reason for people to like music, especially older songs which often evoke nostalgia or deeper sentiments. Therefore, Conclusion II is a reasonable inference from the statement.
The question asks for the status of Oil India Limited (OIL) as a Central Public Sector Enterprise (CPSE) in 2021. It also provides a crucial note that OIL was upgraded to Maharatna status in 2024. This implies that its status in 2021 was different from Maharatna.
Correct Option: B) Navratna