This is a coding-decoding problem where we need to find the code for a specific word by comparing common words and codes across different statements.
Compare Statement 1 and Statement 2:
Compare Statement 1 and Statement 3:
Now consider Statement 3: 'BTC' means 'girls like toy'.
C) C — Based on the step-by-step analysis, the code for 'like' is 'C'.
The question asks to identify the odd one out from the given list of animals. This requires categorizing the animals based on a common characteristic and finding the one that does not fit that category.
Correct Option: B) Cat is the odd one out because it is primarily a companion animal and a carnivore, unlike the other three which are herbivores and commonly raised as livestock for agricultural purposes.
The question asks about the time difference between Gujarat and Arunachal Pradesh. This difference arises due to the longitudinal extent of India. The Earth rotates \(360^\circ\) in 24 hours, which means \(1^\circ\) of longitude corresponds to a specific time difference. We need to find the approximate longitudinal difference between the westernmost point (Gujarat) and the easternmost point (Arunachal Pradesh) of India and then convert this into time.
Longitudinal difference \( = 97^\circ 25' \text{ E} - 68^\circ 7' \text{ E}\)
Longitudinal difference \( \approx 30^\circ\)
The Earth completes one rotation (\(360^\circ\)) in 24 hours.
Time taken for \(1^\circ\) longitude \[= \frac{24 \text{ hours}}{360^\circ} \times 60 \text{ minutes/hour}\]
Time taken for \(1^\circ\) longitude \[= \frac{1440 \text{ minutes}}{360^\circ} = 4 \text{ minutes/degree}\]
Total time lag \( = \text{Longitudinal difference} \times \text{Time per degree}\)
Total time lag \( = 30^\circ \times 4 \text{ minutes/degree}\)
Total time lag \( = 120 \text{ minutes}\)
Total time lag \[= \frac{120 \text{ minutes}}{60 \text{ minutes/hour}} = 2 \text{ hours}\]
B) 2 hours — The calculated time lag between the westernmost and easternmost points of India is approximately 2 hours, which is due to the country's vast longitudinal extent of about \(30^\circ\).
From certain number of apples, a man sells \( \frac{1}{3} \) of the apples to the first customer. He sells \( \frac{1}{2} \) of the remaining apples to the second customer, and \( \frac{1}{3} \) of the remaining apples plus 5 to the third customer. He then finds himself left with 3 apples. How many apples did the man have initially?
This problem can be solved by working backward from the final number of apples. We will define variables for the number of apples at each stage and set up equations based on the information given for each customer. By solving these equations in reverse order, we can find the initial number of apples.
Define variables:
Information from the problem:
Work backward from the third customer:
The man sold \( \frac{1}{3} \) of \(R_2\) plus 5 apples to the third customer. After this sale, he was left with 3 apples.
So, the apples remaining after the second customer (\(R_2\)) can be calculated as:
\[ R_2 - \left( \frac{1}{3} R_2 + 5 \right) = 3 \]\[ R_2 - \frac{1}{3} R_2 - 5 = 3 \]\[ \frac{2}{3} R_2 = 3 + 5 \]\[ \frac{2}{3} R_2 = 8 \]\[ R_2 = 8 \times \frac{3}{2} \]\[ R_2 = 12 \]Work backward from the second customer:
The man sold \( \frac{1}{2} \) of the remaining apples (\(R_1\)) to the second customer. After this sale, \(R_2 = 12\) apples were left.
So, the apples remaining after the first customer (\(R_1\)) can be calculated as:
If he sold \( \frac{1}{2} \) of \(R_1\), then \( \frac{1}{2} \) of \(R_1\) was left.
\[ \frac{1}{2} R_1 = R_2 \]\[ \frac{1}{2} R_1 = 12 \]\[ R_1 = 12 \times 2 \]\[ R_1 = 24 \]Work backward from the first customer:
The man sold \( \frac{1}{3} \) of the initial apples (\(N\)) to the first customer. After this sale, \(R_1 = 24\) apples were left.
If he sold \( \frac{1}{3} \) of \(N\), then \( \frac{2}{3} \) of \(N\) was left.
\[ \frac{2}{3} N = R_1 \]\[ \frac{2}{3} N = 24 \]\[ N = 24 \times \frac{3}{2} \]\[ N = 12 \times 3 \]\[ N = 36 \]Thus, the man initially had 36 apples.
C) 36
The question asks to identify the specific Japanese award conferred upon former Indian Foreign Secretary Shyam Saran. This requires knowledge of prominent international awards and their recipients, particularly those related to India-Japan relations.
Correct Option: D) The Order of the Rising Sun is a Japanese order, established in 1875 by Emperor Meiji. It is awarded to those who have made distinguished achievements in international relations, promotion of Japanese culture, advancements in their field, or development in welfare or preservation of the environment. Shyam Saran, a former Foreign Secretary of India, was conferred this award in 2019 for his significant contributions to strengthening strategic ties between India and Japan.
The question asks about the number of members in the Cabinet Mission sent to India in 1946. This is a factual question related to Indian history, specifically the events leading up to India's independence. Recalling the composition of the Cabinet Mission is key to answering this.
Correct Option: A) three
This is a coding-decoding problem where we need to find the code for individual words by comparing the given statements and their coded forms. We will identify common words and their corresponding common codes to deduce the code for each word.
Analyze the given statements:
Find the code for 'is':
Compare Statement 1 and Statement 2:
So, 'is' = 'ga'.
Find the code for 'Man':
Compare Statement 1 and Statement 2 again, knowing 'is' = 'ga':
So, 'Man' = 'lp'.
Find the code for 'mortal':
From Statement 1, we know 'is' = 'ga' and 'Man' = 'lp'. The remaining word is 'mortal' and the remaining code is '+'.
So, 'mortal' = '+'.
Find the code for 'James':
From Statement 2, we know 'is' = 'ga' and 'Man' = 'lp'. The remaining word is 'James' and the remaining code is 'ku'.
So, 'James' = 'ku'.
Verify with Statement 3:
'James is mortal' \(\rightarrow\) 'ku + lp'
Our deduced codes: 'James' = 'ku', 'is' = 'ga', 'mortal' = '+'.
Wait, there's a discrepancy. Let's re-evaluate.
Re-evaluate codes carefully:
Comparing Statement 1 and Statement 2:
This means {'is', 'Man'} corresponds to {'ga', 'lp'}. We cannot definitively assign 'is' to 'ga' and 'Man' to 'lp' yet, or vice versa.
Comparing Statement 1 and Statement 3:
This means {'is', 'mortal'} corresponds to {'+', 'lp'}.
Comparing Statement 2 and Statement 3:
This means {'James', 'is'} corresponds to {'ku', 'lp'}.
Let's use a systematic approach:
Summary of codes:
Find the code for 'Man James':
Using the derived codes:
So, 'Man James' = 'ga ku'.
Correct Option: D) ga ku
This question is based on letter coding and decoding using reversal and alphabetical shifting. We need to identify how DKVCTR is transformed into VXGZOH and then apply the same rule to FRSTYD. The coding pattern involves two operations: first, reverse the order of the letters in the given word, and then shift each letter four positions forward in the English alphabet. When the shift goes beyond Z, counting continues from A.
The question states that DKVCTR is written as VXGZOH.
To identify the coding rule, we first reverse the word and then examine the alphabetical shifts required to obtain the given code.
The original word is DKVCTR.
Reversing the order of its letters gives:
DKVCTR → RTCVKD
Apply a forward alphabetical shift of four positions to every letter in RTCVKD.
Combining the shifted letters gives VXGZOH.
DKVCTR → RTCVKD → VXGZOH
This matches the given code and confirms the coding rule.
First, reverse the order of the letters in FRSTYD.
FRSTYD → DYTSRF
Now shift each letter four positions forward in the alphabet.
For Y, the alphabetical position becomes 29 after adding 4. Since the alphabet contains only 26 letters, subtract 26 to obtain Position 3, corresponding to C.
The shifted letters obtained are H, C, X, W, V, and J.
Combining them in the same order gives:
FRSTYD → DYTSRF → HCXWVJ
The same two-step transformation applies to both words:
Therefore, the correct answer is option B.
Correct Option: B) HCXWVJ
The coding rule involves reversing the given word and shifting each letter four positions forward in the English alphabet. Reversing FRSTYD gives DYTSRF. Shifting D, Y, T, S, R, and F forward by four positions gives H, C, X, W, V, and J respectively. Therefore, FRSTYD is coded as HCXWVJ, making option B correct.
The question asks for the year in which the Planning Commission of India was established. This is a factual question related to the history of economic planning in India. Recalling the key dates of post-independence Indian institutions is crucial.
Correct Option: C) 1950 is the correct year when the Planning Commission of India was set up by a resolution of the Union Cabinet.
The question asks about the default location where files go after being deleted in a computer system. This is a fundamental concept in computer operating systems, particularly related to file management and data recovery.
C) Recycle Bin is the correct answer. The Recycle Bin is a temporary storage area for deleted files, allowing for their recovery before permanent deletion.