The problem asks us to identify a set of three numbers that follow the same relationship as the given sets: (29, 41, 53) and (37, 49, 61). We need to find the pattern or rule governing the numbers within these sets.
Find the difference between consecutive numbers:
The pattern here is that each subsequent number is obtained by adding 12 to the previous number. This forms an arithmetic progression with a common difference of 12.
Find the difference between consecutive numbers:
This set also follows the same pattern: each subsequent number is obtained by adding 12 to the previous number. This confirms the rule is an arithmetic progression with a common difference of 12.
We need to find an option where the numbers also form an arithmetic progression with a common difference of 12.
A) (53, 65, 77)
This set follows the established pattern, as the common difference is 12.
The differences are not consistent (12 and 22), so this option does not follow the pattern.
The differences are not consistent (12 and 2), so this option does not follow the pattern.
The differences are not consistent (12 and 22), so this option does not follow the pattern.
The problem presents a series of letter-number clusters. To find the missing cluster, we need to identify the pattern in the letters and the numbers separately.
The first letters are P, O, N, M. This is a reverse alphabetical sequence.
Following this pattern, the next letter should be the 12th letter, which is L.
The second letters are K, J, I, H. This is also a reverse alphabetical sequence.
Following this pattern, the next letter should be the 7th letter, which is G.
The numbers are 23, 34, 45, 56. This is an arithmetic progression where each subsequent number increases by 11.
Following this pattern, the next number should be \(56 + 11 = 67\).
The first letter is L, the second letter is G, and the number is 67. Therefore, the next cluster in the series is LG67.
C) LG67 is the correct option because it follows all three identified patterns for the first letter, second letter, and the number sequence.
The question asks for the state where the village Kuchelapuram, the origin of the dance form Kuchipudi, is located. This requires knowledge of the geographical origins of classical Indian dance forms.
Correct Option: B) Andhra Pradesh is the correct answer because Kuchipudi, the dance form, originated from the village of Kuchelapuram (Kuchipudi) in the state of Andhra Pradesh.
This is a logical reasoning problem involving scheduling. We need to deduce the exam schedule for each person (P, Q, R, S, T, U, V) over a week, given several clues. We will use a table to represent the days of the week and fill in the names as we deduce them.
| Day | Person |
|---|---|
| Monday | |
| Tuesday | |
| Wednesday | |
| Thursday | |
| Friday | |
| Saturday | |
| Sunday |
| Day | Person |
|---|---|
| Monday | |
| Tuesday | |
| Wednesday | T |
| Thursday | |
| Friday | |
| Saturday | |
| Sunday |
| Day | Person |
|---|---|
| Monday | |
| Tuesday | |
| Wednesday | T |
| Thursday | Q |
| Friday | P |
| Saturday | V |
| Sunday |
| Day | Person |
|---|---|
| Monday | U |
| Tuesday | S |
| Wednesday | T |
| Thursday | Q |
| Friday | P |
| Saturday | V |
| Sunday |
| Day | Person |
|---|---|
| Monday | U |
| Tuesday | S |
| Wednesday | T |
| Thursday | Q |
| Friday | P |
| Saturday | V |
| Sunday | R |
Correct Option: C) R has an exam on Sunday.
The question asks about the primary environmental impact of freon release from refrigeration plants. Freons are a type of chlorofluorocarbon (CFC). The approach is to recall the known environmental effects of CFCs, particularly their interaction with atmospheric layers.
\[ \text{Cl} + O_3 \rightarrow \text{ClO} + O_2 \]
\[ \text{ClO} + O \rightarrow \text{Cl} + O_2 \]
Correct Option: B) Stratospheric ozone depletion. The release of freons (CFCs) into the atmosphere is a well-documented cause of stratospheric ozone depletion. These chemicals, when they reach the stratosphere, are broken down by UV radiation, releasing chlorine atoms that catalytically destroy ozone molecules.
The question asks about the duration of the GST compensation cess levy as per the Goods and Services Tax (Period of Levy and Collection of Cess) Rules, 2022. This requires knowledge of the specific date notified by the Finance Ministry.
D) 31 March 2026 is the correct date up to which the GST compensation cess will be levied, as per the rules notified by the Finance Ministry.
The problem describes a coding pattern based on the English alphabetical order. We need to identify the relationship between the letters in the given pairs and then apply the same logic to the target word to find its coded form.
Let's find the position difference for each corresponding letter:
The pattern for the first pair is adding 3 to the alphabetical position of each letter, with wrap-around from Z to A.
Let's verify if the same pattern holds:
The pattern is consistent: add 3 to the alphabetical position of each letter.
Now, we apply the "add 3" rule to each letter of VNSU:
So, VNSU is related to YQVX.
A) YQVX is the correct option as derived from applying the "add 3" logic to each letter of VNSU.
The question asks to identify the president of the 1886 Indian National Congress session in Calcutta, during which a demand for simultaneous Indian Civil Service (ICS) examinations in England and India was raised. This requires knowledge of the early sessions of the Indian National Congress and their presidents.
Correct Option: D) Dadabhai Naoroji presided over the 1886 session of the Indian National Congress in Calcutta. This session was notable for the demand for simultaneous Indian Civil Service examinations in England and India, a key reform sought by early nationalists.
The question asks for the action essential to save changes to an Excel workbook under a new file name. This implies creating a new version of the file or saving the current file for the first time, rather than just updating an existing one.
Correct Option: A) Selecting 'Save As' and choosing a new name or location is the correct action. This command is specifically designed to save a copy of the current document under a different name or in a different location, which is essential for preserving changes while also creating a new file or version.
The problem asks us to find the number of symbols that are immediately preceded by a number and immediately followed by another symbol in the given series. We need to scan the series from left to right and identify such patterns.
@ 2 % * 4 2 & £ % 1 £ & 9 7 & 9 7 $ 9 1 $ 2@ 2 % - Symbol, Number, Symbol (Does not match)2 % * - Number, Symbol, Symbol. This is a match! (Here, the symbol is '%')% * 4 - Symbol, Symbol, Number (Does not match)* 4 2 - Symbol, Number, Number (Does not match)4 2 & - Number, Number, Symbol (Does not match)2 & £ - Number, Symbol, Symbol. This is a match! (Here, the symbol is '&')& £ % - Symbol, Symbol, Symbol (Does not match)£ % 1 - Symbol, Symbol, Number (Does not match)% 1 £ - Symbol, Number, Symbol (Does not match)1 £ & - Number, Symbol, Symbol. This is a match! (Here, the symbol is '£')£ & 9 - Symbol, Symbol, Number (Does not match)& 9 7 - Symbol, Number, Number (Does not match)9 7 & - Number, Number, Symbol (Does not match)7 & 9 - Number, Symbol, Number (Does not match)& 9 7 - Symbol, Number, Number (Does not match)9 7 \( - Number, Number, Symbol (Does not match)7 \) 9 - Number, Symbol, Number (Does not match)$ 9 1 - Symbol, Number, Number (Does not match)9 1 $ - Number, Number, Symbol (Does not match)1 $ 2 - Number, Symbol, Number (Does not match)C) 3. There are three symbols in the series that are immediately preceded by a number and immediately followed by another symbol.