The problem presents a series of letter groups. We need to identify the pattern in the letters within each group and the pattern in the first letter of consecutive groups to determine the next term.
The problem involves a coding-decoding pattern where letters of a word are rearranged to form a new word. We need to identify the specific rearrangement rule applied to "TEMPORARY" to get "RPMOAETRY" and then apply the same rule to "PERMANENT" to find the coded word.
Correct Option: A) NMRAEEPNT
This is an analogy question where we need to find the relationship between the second pair of words that mirrors the relationship between the first pair. The given analogy is "? : Clock :: Temperature : Thermometer". We need to identify what a clock measures, just as a thermometer measures temperature.
Correct Option: B) Time. A clock is an instrument that measures time, just as a thermometer is an instrument that measures temperature.
The question asks to identify the region containing the world's largest area of mangrove forests. This requires knowledge of major geographical features and ecosystems.
D) Sundarbans
The Sundarbans, located in the delta region of the Ganga, Brahmaputra, and Meghna rivers on the Bay of Bengal, is the largest single block of tidal halophytic mangrove forest in the world. It spans across parts of India and Bangladesh and is recognized as a UNESCO World Heritage Site. It is renowned for its unique biodiversity, including the Royal Bengal Tiger.
To find the least number which, when doubled, is exactly divisible by a given set of numbers, we first need to find the Least Common Multiple (LCM) of those numbers. The LCM will be the smallest number that is exactly divisible by all the given numbers. Once we have the LCM, we know that the number we are looking for, when doubled, must be equal to this LCM. Therefore, the required number will be half of the LCM.
Identify the given numbers: The numbers are 4, 6, 9, 12, and 14.
Find the prime factorization of each number:
Calculate the LCM: The LCM is found by taking the highest power of all prime factors that appear in any of the numbers.
So, the LCM is \(2^2 \times 3^2 \times 7 = 4 \times 9 \times 7 = 36 \times 7 = 252\).
Determine the required number: Let the required least number be \(x\). The problem states that when \(x\) is doubled, it will be exactly divisible by 4, 6, 9, 12, and 14. This means that \(2x\) must be equal to the LCM we just calculated.
\[ 2x = \text{LCM}(4, 6, 9, 12, 14) \] \[ 2x = 252 \] \[ x = \frac{252}{2} \] \[ x = 126 \]A) 126 — When 126 is doubled, it becomes 252. As calculated, 252 is the LCM of 4, 6, 9, 12, and 14, meaning it is exactly divisible by all these numbers. Therefore, 126 is the correct answer.
B) 252 — This is the LCM itself. The question asks for the number which, when doubled, equals the LCM. So, 252 is \(2x\), not \(x\).
C) 504 — This is \(2 \times \text{LCM}\). If 504 were the number, then when doubled, it would be 1008, which is also divisible by the given numbers, but it's not the least such number that fits the condition.
D) 63 — When 63 is doubled, it becomes 126. 126 is not divisible by all the given numbers (e.g., 126 is not divisible by 4, 9, or 12). For example, \(126 \div 4 = 31.5\), \(126 \div 9 = 14\), \(126 \div 12 = 10.5\). So, 63 is incorrect.
The problem asks us to identify the shortest person among P, Q, R, S, and T using the given statements. We need to determine which combination of statements provides enough information to uniquely identify the shortest person.
Let's analyze each statement individually and then in combination.
Now let's combine the statements:
We found that (I and II) are sufficient and (II and III) are sufficient. This means that statement II combined with either statement I or statement III is sufficient.
C) Statement II and either I or III are sufficient. As shown above, combining Statement II with Statement I (T is the shortest) or combining Statement II with Statement III (T is the shortest) both lead to a definitive answer for the shortest person.
The question asks to identify the city where the International Tourist Bureau (ITB) facility of Indian Railways is NOT available. This requires knowledge of the locations where Indian Railways provides specialized services for international tourists.
Correct Option: B) Thiruvananthapuram
The International Tourist Bureau facility of Indian Railways is not available in Thiruvananthapuram. These bureaus are set up in major cities and tourist centers to cater specifically to the needs of foreign tourists, offering services like booking tickets, providing information, and facilitating Indrail Pass purchases. While Thiruvananthapuram is a state capital and a tourist destination, it does not have this specialized facility.
The question asks to identify the name of an Indian Light Combat Aircraft from the given options. This requires knowledge of prominent aircraft developed or used by India.
Correct Option: B) Tejas is indeed the name of an Indian Light Combat Aircraft. It is a single-engine, delta wing, multirole light fighter designed by the Aeronautical Development Agency (ADA) in collaboration with Hindustan Aeronautics Limited (HAL) for the Indian Air Force and Indian Navy.
The question asks for the term that describes the process of extracting new, useful information from large, existing databases. This is a fundamental concept in information technology and data science.
B) mining — This refers to "data mining," which is the computational process of discovering patterns in large data sets involving methods at the intersection of artificial intelligence, machine learning, statistics, and database systems. Its goal is to extract useful information and knowledge from large databases.
Which one of the following operations will result in 26?
18 × 16 ÷ 12 − 11 + 13
18 + 16 − 12 × 11 ÷ 13
18 ÷ 16 + 12 − 11 × 13
18 − 16 × 12 ÷ 11 + 13
To solve this problem, we need to evaluate each given expression following the order of operations (BODMAS/PEMDAS: Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)). We will check which expression simplifies to 26.
Correct Option: A) \(18 \times 16 \div 12 - 11 + 13\)
As calculated above:
\[ 18 \times 16 \div 12 - 11 + 13 \\ = 288 \div 12 - 11 + 13 \\ = 24 - 11 + 13 \\ = 13 + 13 \\ = 26 \]