This is a box-stacking puzzle. We need to deduce the arrangement of seven boxes based on the given clues. We will build the arrangement step-by-step, eliminating possibilities and confirming positions until the final order is established.
There are seven boxes. Let's denote the positions from top to bottom as 1 to 7.
"Only three boxes are kept above G." This means G is at position 4.
1. 2. 3. 4. G 5. 6. 7.
"Only one box is kept between J and G." Since G is at position 4, J can be at position 2 or position 6.
Case 1: J is at position 2
1. 2. J 3. 4. G 5. 6. 7.
Case 2: J is at position 6
1. 2. 3. 4. G 5. 6. J 7.
"Only three boxes are kept between J and K."
Let's check Case 1 (J at 2): If J is at 2, then K must be at position 6 (boxes 3, 4, 5 are between J and K). This is possible.
1. 2. J 3. 4. G 5. 6. K 7.
Let's check Case 2 (J at 6): If J is at 6, then K must be at position 2 (boxes 3, 4, 5 are between K and J). This is also possible.
1. 2. K 3. 4. G 5. 6. J 7.
"K is kept at some place above G."
Comparing with the arrangements from step 4:
So, the arrangement must be:
1. 2. K 3. 4. G 5. 6. J 7.
"E is kept immediately below K." K is at position 2, so E must be at position 3.
1. 2. K 3. E 4. G 5. 6. J 7.
"F is kept at one of the places above D." The remaining boxes are D, F, I. The remaining positions are 1, 5, 7.
Possible positions for F and D: (F at 1, D at 5) or (F at 1, D at 7) or (F at 5, D at 7).
"I is not kept immediately above or below J." J is at position 6. So, I cannot be at position 5 or 7.
This means I must be at position 1.
1. I 2. K 3. E 4. G 5. 6. J 7.
Now, we have positions 5 and 7 left for F and D. From clue 7, "F is kept at one of the places above D." This means F must be at position 5 and D must be at position 7.
The final arrangement is:
1. I 2. K 3. E 4. G 5. F 6. J 7. D
The question asks: "Which box is kept at the lowermost position?" From our final arrangement, the lowermost position (position 7) is occupied by D.
B) D — As per the final arrangement, box D is at the lowermost position (position 7).
The problem presents two triads of words (SAND - DSNA - SDAN and GUNT - TGNU - GTUN) where each subsequent word in the triad is derived from the previous one following a specific logical rule. We need to identify the option that follows the same logic.
A) JUNK - KJNU - JKUN
Both transformations match the established logic. Therefore, option A is the correct answer.
Wait, let's re-check the analysis for option D. The first transformation (POLE to EPLO) is correct (4132). The second transformation (EPLO to POEL) is also correct (2143). Let's re-verify the question and my initial analysis. Ah, the provided correct answer is A. Let's re-examine the original problem and my interpretation.
Original logic: SAND → DSNA (4132). DSNA → SDAN (2143). This is correct.
Let's re-examine option A: JUNK → KJNU (4132). KJNU → JKUN (2143). This is correct.
Let's re-examine option D: POLE → EPLO (4132). EPLO → POEL (2143). This is also correct.
There seems to be an issue with the provided correct answer or the question itself as both A and D follow the pattern. However, if forced to choose, let's assume there might be a subtle distinction or a single correct answer expected. Let's re-read the question carefully. "Select from the given options, the one that follows the same logic."
Given that both A and D follow the logic perfectly, there might be an error in the question or the provided correct answer. However, following the instruction to explain why the correct answer (A) is right and others are wrong, I will proceed with A as the correct one and explain why D would be considered incorrect if only one answer is allowed, which is not immediately apparent from the pattern.
Let's assume there's no error and re-evaluate the pattern more strictly or look for a secondary pattern. The pattern 4132 and 2143 is consistently applied. If both A and D fit, there might be a mistake in the question or the provided answer key. For the purpose of this exercise, I will stick to the provided correct answer A and explain why D is wrong, assuming there's a hidden nuance or error in my assessment of D.
Re-evaluating D: POLE (P1 O2 L3 E4) → EPLO (E4 P1 L3 O2). This is 4132. Correct.
EPLO (E1 P2 L3 O4) → POEL (P2 E1 O4 L3). This is 2143. Correct.
Since both A and D perfectly match the derived logic, if the provided correct answer is A, then there's an ambiguity or error in the question or the answer key. However, if we must choose A, then D would be considered incorrect, which is not justifiable based on the derived pattern. Given the constraints, I'll proceed with A as the correct option and state that D also appears correct based on the derived logic.
The problem states that A varies directly as B. This means that A is proportional to B, which can be expressed as \(A = kB\), where \(k\) is the constant of proportionality. We are given one pair of values for A and B, which allows us to find \(k\). Once \(k\) is known, we can use it to find the value of A for a new given value of B.
where \(k\) is the constant of proportionality.
Now, solve for \(k\):
\[ k = \frac{210}{51} \]We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
\[ k = \frac{210 \div 3}{51 \div 3} \]\[ k = \frac{70}{17} \]Now, perform the multiplication. Notice that 136 is a multiple of 17 (\(17 \times 8 = 136\)):
\[ A = 70 \times \frac{136}{17} \]\[ A = 70 \times 8 \]\[ A = 560 \]B) 560 is the correct answer. The calculation shows that when A varies directly as B, and \(A = 210\) for \(B = 51\), then \(A = 560\) for \(B = 136\).
The question asks to identify the Indian states primarily covered by the Thar Desert. This requires knowledge of the geographical distribution of the Thar Desert within India.
Correct Option: A) Rajasthan and Gujarat
The Thar Desert covers about 85% of its area in India, and 60% of this lies in Rajasthan. The desert also extends into the northern part of Gujarat, the southern part of Punjab, and the southwestern part of Haryana. However, Rajasthan and Gujarat are the states where its presence is most significant and primary.
The question asks to identify the class of cytoskeletal proteins to which neurofilaments belong, specifically highlighting their role in maintaining the calibre and integrity of large axons. This requires knowledge of the different types of cytoskeletal proteins and their specific functions and locations.
C) Intermediate filament proteins. Neurofilaments are indeed a type of intermediate filament, specifically found in neurons, where they provide structural support to axons, helping to maintain their diameter and integrity. This aligns perfectly with the description in the question.
The question asks about the specific areas of cooperation between India and Italy that were strengthened in April 2025. This requires knowledge of recent bilateral agreements and strategic partnerships between the two countries.
Correct Option: B) Trade, defense, clean energy, and connectivity
In April 2025, India and Italy indeed emphasized strengthening their strategic partnership across multiple critical sectors. These included boosting bilateral trade, enhancing cooperation in defense manufacturing and technology, collaborating on clean energy initiatives (such as green hydrogen and renewable energy), and improving connectivity, particularly in the context of the India-Middle East-Europe Economic Corridor (IMEC).
The problem requires us to find the missing letter clusters, # and %, by identifying the pattern and relationship between the given letter-cluster pairs. We need to analyze the positional values of the letters in the English alphabet.
A) # = MHI, % = YTU. This option correctly follows the pattern where each letter in the first cluster is shifted forward by 5 positions in the alphabet to get the corresponding letter in the second cluster.
David ranked 19th from the top and 25th from the bottom in his class. How many students are there in his class?
This problem involves calculating the total number of students in a class given a person's rank from both the top and the bottom. The key is to understand that the person himself is counted in both rankings, so we must subtract one to avoid double-counting.
B) 43 is the correct answer. This is derived by adding David's rank from the top and his rank from the bottom, and then subtracting 1 because David himself is counted in both rankings.
If the length of a cuboid is 4 cm, breadth is 46 cm and volume is 8832 cm³, then find the height (in cm) of the cuboid.
To find the height of the cuboid, we will use the formula for the volume of a cuboid, which is given by the product of its length, breadth, and height. We are provided with the length, breadth, and volume, so we can rearrange the formula to solve for the height.
The volume (\(V\)) of a cuboid is given by:
\[ V = \text{length} \times \text{breadth} \times \text{height} \]To find the height, divide the volume by the product of length and breadth:
\[ \text{height} = \frac{8832}{184} \]B) 48
The calculated height of the cuboid is 48 cm, which matches option B.
Find the median from the following data.
| Age in years | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 |
| No. of patients | 11 | 16 | 14 | 29 | 40 | 21 | 17 |
To find the median from grouped data, we first need to construct a cumulative frequency table. Then, we identify the median class using the formula for the median position. Finally, we apply the median formula for grouped data.
The given data is:
| Age in years (Class Interval) | No. of patients (Frequency, \(f\)) | Cumulative Frequency (\(cf\)) |
|---|---|---|
| 20-30 | 11 | 11 |
| 30-40 | 16 | \(11 + 16 = 27\) |
| 40-50 | 14 | \(27 + 14 = 41\) |
| 50-60 | 29 | \(41 + 29 = 70\) |
| 60-70 | 40 | \(70 + 40 = 110\) |
| 70-80 | 21 | \(110 + 21 = 131\) |
| 80-90 | 17 | \(131 + 17 = 148\) |
The total number of patients, \(N\), is the last value in the cumulative frequency column.
\[ N = \sum f = 148 \]The median position is given by \(\frac{N}{2}\).
\[ \frac{N}{2} = \frac{148}{2} = 74 \]The median class is the class interval whose cumulative frequency is just greater than or equal to the median position (74). Looking at the table, the cumulative frequency just greater than 74 is 110, which corresponds to the class interval 60-70.
So, the median class is 60-70.
The formula for the median of grouped data is:
\[ \text{Median} = L + \left( \frac{\frac{N}{2} - cf}{f} \right) \times h \]Substitute the values into the formula:
\[ \text{Median} = 60 + \left( \frac{74 - 70}{40} \right) \times 10 \]\[ \text{Median} = 60 + \left( \frac{4}{40} \right) \times 10 \]\[ \text{Median} = 60 + \left( \frac{1}{10} \right) \times 10 \]\[ \text{Median} = 60 + 1 \]\[ \text{Median} = 61 \text{ years} \]D) 61 years is the calculated median age.