The question asks to identify which of the given options has a density greater than that of water. Density is a measure of mass per unit volume. An object floats if its density is less than the fluid it's in, and sinks if its density is greater. The density of water is approximately \(1 \text{ g/cm}^3\) or \(1000 \text{ kg/m}^3\).
A) Iron nail — An iron nail sinks in water, indicating its density (\(\approx 7.8 \text{ g/cm}^3\)) is significantly greater than that of water (\(\approx 1 \text{ g/cm}^3\)).
To find the square root of 35721, we can use the long division method for square roots or estimate the square root and then check the options provided. A quick way to eliminate options is to look at the unit digit of the given number and the unit digit of the squares of the options.
Examine the unit digit of the number: The given number is 35721. Its unit digit is 1.
Determine possible unit digits of its square root: For a number to have a unit digit of 1, its square root must end in either 1 or 9 (since \(1^2 = 1\) and \(9^2 = 81\)).
Check the unit digits of the given options:
This narrows down the possibilities, but all options are still plausible based on the unit digit.
Estimate the range of the square root:
Since 35721 is between 10000 and 40000, its square root must be between 100 and 200. This eliminates option B (201) as it is greater than 200.
Test the remaining options: We are left with 171, 179, and 189.
Since \(189^2 = 35721\), 189 is the square root of 35721.
D) 189 is the correct answer because \(189^2 = 35721\).
Which answer figure will replace the shaded area correctly?
The problem involves identifying the correct pattern to replace the shaded area in the given grid. Each option provides a different pattern arrangement, and we need to find the one that fits logically with the rest of the grid.
Correct Option: D) The pattern in Option D correctly maintains the sequence and arrangement observed in the rest of the grid.
To find the mirror image of a clock's time, we use a simple rule: the sum of the actual time and its mirror image time should be 12:00 or 11:60. Since the given time is 3:00 AM, we need to find what time, when added to 3:00, results in 12:00.
Therefore, the mirror image of 3:00 AM is 9:00 AM.
A) 9:00 AM — As calculated, subtracting 3:00 from 12:00 gives 9:00. This is the correct mirror image time.
The question asks to identify the name given to the elements that are found with Lanthanum in Group 3, Period 6 of the periodic table. This requires knowledge of the classification of elements in the periodic table, specifically the f-block elements.
Correct Option: D) Lanthanoid
The elements from Cerium (atomic number 58) to Lutetium (atomic number 71) are called Lanthanoids. They are characterized by the filling of the 4f orbitals and are placed after Lanthanum in the periodic table, usually shown as a separate row below the main table.
This problem involves analyzing statements and conclusions based on the principles of syllogism, often visualized using Venn diagrams. We need to determine which conclusion logically follows from the given statements.
This means that the entire set of 'leopards' is contained within the set of 'lions'. If we draw a Venn diagram, the circle for 'leopards' would be entirely inside the circle for 'lions'.
This means there is an overlap between the set of 'tigers' and the set of 'leopards'. Some part of the 'tigers' circle intersects with the 'leopards' circle.
From Statement B, we know that some tigers are leopards. From Statement A, we know that all leopards are lions. Since some tigers are leopards, and all leopards are lions, it logically follows that those 'some tigers' that are leopards must also be lions. Therefore, Conclusion I is true.
From our analysis for Conclusion I, we found that some tigers are indeed lions. This directly contradicts Conclusion II, which states that no lion is a tiger. Therefore, Conclusion II is false.
Only Conclusion I logically follows from the given statements.
B) Only I follows
The question asks to identify which of the given options is NOT an animal tissue. To answer this, we need to recall the primary types of animal tissues and plant tissues.
Correct Option: C) Parenchyma is a type of simple permanent plant tissue, involved in functions like photosynthesis, storage, and secretion in plants. It is not found in animals.
This is a syllogism problem that can be solved using Venn diagrams or by analyzing the relationships between the categories. We will draw Venn diagrams for the given statements and then check which conclusions logically follow.
What will be the next term in the following category?
AD4, GJ10, MP16, _____.
The problem presents a sequence of terms, each consisting of two letters and a number. We need to identify the pattern in the letters and the numbers separately to find the next term in the sequence.
Correct Option: B) SV22
The question asks about the concept of "Triple Talaq" and its relation to various aspects of personal law. To answer this, one needs to understand the meaning and practice of Triple Talaq within Islamic personal law.
Correct Option: A) Divorce. Triple Talaq is a specific form of divorce practiced under Islamic personal law, which allowed a Muslim man to divorce his wife by pronouncing the word "talaq" three times.
