The problem presents a series of numbers, and we need to find the next number in the sequence. To solve this, we will analyze the differences between consecutive terms to identify a pattern.
Therefore, the next number in the series is 1572.
Correct Option: A) 1572
The problem asks us to identify the letter-cluster that does not follow the same pattern as the others, based on the English alphabetical order. We need to find a common rule or relationship between the letters in three of the clusters and then identify the one that deviates.
Let's apply this to each option:
Let's re-examine the differences, especially for the last letter, considering a cyclic alphabetical order if necessary. The most common pattern in such questions involves consistent differences between consecutive letters.
Let's look at the differences between consecutive letters:
From the analysis, options B, C, and D follow a consistent pattern of differences between consecutive letters: +8, +3, +6 (considering cyclic order for the last difference if it wraps around the alphabet).
Option A (YGIP) does not follow this pattern:
Therefore, YGIP is the letter-cluster that does not belong to the group.
A) YGIP — This cluster does not follow the pattern of differences (+8, +3, +6) between consecutive letters, unlike the other three options.
The question asks about the architectural style under which the Qutub Minar was built. This requires knowledge of Indian architectural history, specifically the Delhi Sultanate period and the dynasties involved.
Correct Option: B) The Qutub Minar was commenced by Qutb al-Din Aibak, the first ruler of the Mamluk dynasty. Therefore, it is built under the Mamluk style of architecture, which is characteristic of the early Delhi Sultanate period.
To determine which organism has the smallest DNA length, we need to compare the typical genome sizes (in base pairs, bp) of the organisms listed in the options. Generally, viruses have smaller genomes than bacteria, and bacteria have smaller genomes than eukaryotic cells.
Correct Option: B) phi X174 phage has the smallest DNA length listed, with approximately \(5386\) base pairs.
The question asks to identify the specific government project that received the SKOCH Award for excellence in forest management in December 2024. This requires knowledge of recent awards and recognition in the field of environmental and forest management in India.
The Nagaland Forest Management Project (NFMP), funded by JICA (Japan International Cooperation Agency), was recognized with the prestigious SKOCH Award for excellence in forest management in December 2024. This award acknowledges its significant contributions to sustainable forest management and community development in Nagaland.
C) Nagaland Forest Management Project — The Nagaland Forest Management Project (NFMP), supported by JICA, was indeed awarded the SKOCH Award for excellence in forest management in December 2024. This project has been instrumental in promoting sustainable forest management practices and improving the livelihoods of forest-dependent communities in Nagaland.
The question asks about the results of the 2024 Jharkhand Assembly elections, specifically the number of seats won by the winning party/coalition and its name. To answer this, we need to recall the election outcomes and the political alliances involved.
B) 56 seats, JMM-led alliance INDIA — The JMM-led alliance, which is part of the INDIA bloc, won 56 seats in the 2024 Jharkhand Assembly elections, forming the government.
The question asks to identify the geographical features that bound the Western Coastal Plains of India. This requires knowledge of the physical geography of India, specifically the location and characteristics of its coastal plains.
Correct Option: A) The Western Coastal Plains are indeed narrower and lie between the Western Ghats (to their east) and the Arabian Sea (to their west). This accurately describes their geographical location and characteristic.
To solve this problem, we need to track Mr. GHI's movements step-by-step and determine his final position relative to his starting point (Point A). We can use a coordinate system or simply visualize the movements in a 2D plane. We will calculate the net displacement in the east-west and north-south directions.
Initial Position: Mr. GHI starts at Point A. Let's assume Point A is the origin \((0,0)\).
First Movement: Drives 16 km towards the east.
Second Movement: Takes a right turn (south direction) and drives 18 km.
Third Movement: Turns right (west direction) and drives 26 km.
Fourth Movement: Takes a right turn (north direction) and drives 26 km.
Fifth Movement: Takes a final right turn (east direction), drives 10 km, and stops at Point P.
Determine displacement from Point A to Point P:
Determine how to reach Point A from Point P:
A) 8 km to the south. This matches our calculation that Point P is 8 km north of Point A, so to return to A, one must travel 8 km south.
The problem asks us to find the missing letter-clusters, # and %, based on a pattern or relationship observed in the given letter-cluster pair. We need to identify the rule governing the transformation from one cluster to another and apply it to both sides of the analogy.
Now, let's look at the differences between consecutive letters:
So, the pattern for GLO is (+5, +3). This means the second letter is 5 positions after the first, and the third letter is 3 positions after the second.
Alternatively, we can reverse the pattern. If GLO is derived from #, then # can be derived from GLO by reversing the operations. That is, if GLO is (G, G+5, G+5+3), then # would be (G-5, G-5+5, G-5+5+3) which is not correct. The relationship is that the second cluster is derived from the first. So, if we apply the pattern to #, we get GLO.
Let # = PQR. Then P+5 = G, Q+3 = L, R+? = O. This doesn't seem right. The pattern is applied sequentially within the cluster. So, if # = PQR, then Q = P+5 and R = Q+3.
Let's re-evaluate the relationship. The problem states "the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::". This means the relationship between # and GLO is the same as between INQ and %. So, if GLO is derived from #, then % is derived from INQ using the same rule. The rule we found for GLO is (+5, +3) between consecutive letters *within* the cluster. This is not a rule *between* the clusters.
Let's re-interpret the question. It's an analogy. The relationship between the first cluster and the second cluster on the left side of :: is the same as the relationship between the first cluster and the second cluster on the right side of ::. So, the relationship is between # and GLO, and between INQ and %. We need to find a transformation from # to GLO.
Let's check the options for # and see if they lead to GLO with a consistent rule.
So, the rule is to add 5 to each letter of the first cluster to get the corresponding letter of the second cluster. This means: First letter + 5, Second letter + 5, Third letter + 5. This is a consistent rule.
So, % = NSV.
B) # = BGJ, % = NSV
The problem involves setting up a system of two linear equations based on the given age relationships between Vashnavi and Sooraj. We will define variables for their present ages, translate the given statements into equations, solve the system of equations to find their individual ages, and then calculate the sum of their ages.
Define variables:
Let \(V\) be the present age of Vashnavi.
Let \(S\) be the present age of Sooraj.
Formulate the first equation:
"Five times the present age of Vashnavi is 18 years more than seven times the present age of Sooraj."
This translates to:
Formulate the second equation:
"Eight times the present age of Sooraj is 17 years less than five times the present age of Vashnavi."
This translates to:
Solve the system of equations:
We can use the substitution method. From Equation 1, we already have an expression for \(5V\).Substitute \(5V = 7S + 18\) into Equation 2:
Solve for \(S\):
Subtract \(7S\) from both sides:
Solve for \(V\):
Substitute the value of \(S\) (which is 1) back into Equation 1:
Calculate the sum of their ages:
The sum of their present ages is \(V + S\).
Correct Option: A) 6