This problem involves identifying a pattern in letter-cluster pairs based on their positions in the English alphabetical order. We need to find the pair that does not follow the same rule as the others.
Let's assign numerical positions to each letter in the English alphabet (A=1, B=2, ..., Z=26).
V is the 22nd letter, S is the 19th letter.
P is the 16th letter, U is the 21st letter.
Difference between V and S: \(22 - 19 = 3\)
Difference between P and U: \(21 - 16 = 5\)
Now, let's look at the relationship between the first letter of the first cluster and the first letter of the second cluster, and similarly for the second letters.
V to P: \(22 - 16 = 6\)
S to U: \(19 + 2 = 21\)
Let's re-examine the pattern. Consider the difference between the letters within each cluster and the difference between the clusters themselves.
For VS:
For PU:
Let's try another approach: the sum of the positions of the letters in each cluster.
For VS: \(22 + 19 = 41\)
For PU: \(16 + 21 = 37\)
Difference: \(41 - 37 = 4\)
Let's try the difference between the first letters and the second letters of the pairs.
V (22) to P (16) = \(22 - 16 = 6\)
S (19) to U (21) = \(21 - 19 = 2\)
This doesn't seem to reveal a consistent pattern. Let's look at the difference between the first letter of the first cluster and the first letter of the second cluster, and the second letter of the first cluster and the second letter of the second cluster.
V (22) \(\rightarrow\) P (16): \(22 - 16 = 6\)
S (19) \(\rightarrow\) U (21): \(21 - 19 = 2\)
This gives a pair of differences: (6, 2)
Y (25) \(\rightarrow\) S (19): \(25 - 19 = 6\)
V (22) \(\rightarrow\) W (23): \(23 - 22 = 1\)
This gives a pair of differences: (6, 1)
R (18) \(\rightarrow\) L (12): \(18 - 12 = 6\)
O (15) \(\rightarrow\) Q (17): \(17 - 15 = 2\)
This gives a pair of differences: (6, 2)
T (20) \(\rightarrow\) N (14): \(20 - 14 = 6\)
Q (17) \(\rightarrow\) S (19): \(19 - 17 = 2\)
This gives a pair of differences: (6, 2)
Comparing the pairs of differences:
Options A, C, and D all follow the pattern where the first letter of the second cluster is 6 positions before the first letter of the first cluster, and the second letter of the second cluster is 2 positions after the second letter of the first cluster.
Option B does not follow this pattern for the second letters.
The pattern observed in options A, C, and D is that if the pair is \(L_1L_2 - L_3L_4\), then the position of \(L_3\) is \(L_1 - 6\) and the position of \(L_4\) is \(L_2 + 2\).
The question asks to identify the primary internal energy reserve in plants. This requires knowledge of plant physiology and the forms in which plants store energy for later use.
Correct Option: B) Starch is the primary internal energy reserve in plants. It is a polysaccharide composed of glucose units, serving as a long-term energy store.
The mode of a data set is the value that appears most frequently. We are given a data set and told that its mode is 7. We need to find the value of 'k' using this information.
Subtract 1 from both sides:
\[ 2k = 7 - 1 \]\[ 2k = 6 \]Divide by 2:
\[ k = \frac{6}{2} \]\[ k = 3 \]Correct Option: A) 3
This problem involves calculating a total income based on percentages spent and a final saving amount. We will work backward from the savings, or forward by tracking the remaining percentage of income at each step.
Correct Option: B) ₹7,500
The question asks for the month in which the Guru Kelucharan Mohapatra Awards 2024 were organized by Srjan-Guru Kelucharan Mohapatra Odissi Nrityabasa. This is a factual question requiring knowledge of current events related to Indian classical dance and awards.
Correct Option: B) The Guru Kelucharan Mohapatra Awards are an annual event organized by Srjan-Guru Kelucharan Mohapatra Odissi Nrityabasa. The 2024 edition of these prestigious awards and festival was scheduled to take place in September.
The problem asks us to find the next term in a series of three-letter combinations based on the English alphabetical order. We need to identify the pattern in how the letters in each group and the groups themselves progress.
D) MPS — Based on the pattern identified, where each corresponding letter in consecutive groups advances by 9 positions in the English alphabet (with wrap-around), the next group after DGJ is MPS.
For preparation of which of the following compounds is the chlor-alkali process used?
The question asks about the products of the chlor-alkali process. We need to recall the reactants and products of this industrial process.
A) NaOH + Cl\(_2\) — As explained above, sodium hydroxide and chlorine gas are two of the primary products of the chlor-alkali process. Hydrogen gas is also produced, but among the given options, this one correctly identifies two key products.
This problem involves the concept of work done by a constant force. The work done is defined as the product of the force applied and the displacement in the direction of the force. We are given the work done and the force, and we need to find the displacement.
The work done (\(W\)) by a constant force (\(F\)) acting on a body, causing a displacement (\(d\)) in the direction of the force, is given by the formula:
\[ W = F \times d \]To find the displacement (\(d\)), we can rearrange the formula:
\[ d = \frac{W}{F} \]Thus, the displacement of the body is 1 meter.
Correct Option: C) 1 m
To find the Least Common Multiple (LCM) of a set of numbers, we can use the prime factorization method. This involves finding the prime factors of each number and then taking the highest power of each prime factor present in any of the numbers.
First, we find the prime factors for each of the given numbers: 24, 42, and 56.
Now, we list all unique prime factors found across these numbers and identify the highest power for each prime factor.
Multiply these highest powers together to get the LCM.
\[ \text{LCM}(24, 42, 56) = 2^3 \times 3^1 \times 7^1 \]\[ \text{LCM}(24, 42, 56) = 8 \times 3 \times 7 \]\[ \text{LCM}(24, 42, 56) = 24 \times 7 \]\[ \text{LCM}(24, 42, 56) = 168 \]B) 168 is the Least Common Multiple of 24, 42, and 56.
The problem presents a series of letter groups, and we need to find the next group in the sequence. This type of problem typically involves identifying a pattern in the alphabetical positions of the letters within each group.
Correct Option: B) JNC