The problem asks us to identify the pair that does not follow the same pattern as the others. We need to analyze each given pair \((\sqrt{X}, Y)\) to find a common relationship between \(\sqrt{X}\) and \(Y\).
D) \((\sqrt{36},\,8)\) — This pair is \((6,\,8)\), where \(8 = 6 + 2\). This deviates from the pattern established by the other pairs, which is \(Y = \sqrt{X} + 1\).
The question asks to identify the author of the Indian English novel 'No Other World', published in 2017. This requires knowledge of contemporary Indian English literature and specific authors.
Rahul Mehta is an Indian-American author known for his short story collection 'Quarantine' and the novel 'No Other World'. 'No Other World' was indeed published in 2017 and received critical acclaim.
A) Rahul Mehta is the author of the Indian English novel 'No Other World', which was published in 2017.
The question asks to identify the host country for the 2016 Summer Paralympics. This requires knowledge of major international sporting events and their host cities/countries.
Correct Option: C) Brazil hosted the 2016 Summer Paralympics in its city of Rio de Janeiro.
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 that appears in any of the factorizations.
A) 204 is the correct LCM of 34, 51, and 68, as calculated by the prime factorization method.
To determine which of the given numbers is a prime number, we need to check each option for divisibility by prime numbers up to its square root. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
First, find the approximate square root of 181:
\[ \sqrt{181} \approx 13.45 \]We need to check for divisibility by prime numbers less than or equal to 13.45, which are 2, 3, 5, 7, 11, 13.
Since 181 is not divisible by any prime number less than or equal to its square root, 181 is a prime number.
First, find the approximate square root of 161:
\[ \sqrt{161} \approx 12.69 \]We need to check for divisibility by prime numbers less than or equal to 12.69, which are 2, 3, 5, 7, 11.
Since 161 is divisible by 7 (and 23), it is not a prime number.
We know that \(121 = 11 \times 11\).
Since 121 is divisible by 11, it is not a prime number.
Sum of digits \(1+4+1=6\), which is divisible by 3.
So, \(141 = 3 \times 47\).
Since 141 is divisible by 3 (and 47), it is not a prime number.
A) 181 — As shown in the step-by-step analysis, 181 is not divisible by any prime number less than or equal to its square root (\(\sqrt{181} \approx 13.45\)), making it a prime number.
The question asks to identify the component of blood responsible for oxygen transportation. We need to recall the primary functions of the different components of blood.
Correct Option: B) RBCs (Red Blood Cells) contain hemoglobin, which is a protein that binds to oxygen in the lungs and releases it in the tissues, thus facilitating oxygen transportation throughout the body.
The question asks to identify the group in the modern periodic table that contains inert gases. This requires knowledge of the classification of elements in the periodic table, specifically the properties and common names of groups.
A) Group 18 — This group contains the noble gases (or inert gases), which are characterized by their full valence electron shells and chemical inertness.
The question asks about the form of energy released at the end of digestion. Digestion is a biochemical process that breaks down complex food molecules into simpler ones, which are then used by the body for various functions, including energy production.
C) chemical energy. The energy released from the breakdown of digested food is captured and stored in the chemical bonds of ATP molecules, which is a form of chemical energy readily usable by the body's cells.
To find the angle between the hour hand and the minute hand, we need to calculate the position of each hand relative to the 12 o'clock mark. The minute hand moves 360 degrees in 60 minutes, and the hour hand moves 360 degrees in 12 hours. We will calculate the angle for each hand at 3:47 p.m. and then find the difference between their positions.
A) 168.5° is the smaller of the two angles formed by the hour hand and the minute hand at 3:47 p.m.
The question asks to identify the celebrity appointed as the Goodwill Ambassador of the United Nations in India in 2017 to promote awareness about the Sustainable Development Goals (SDGs). This is a factual question related to current affairs and international organizations.
B) Ashok Amritraj was appointed as the United Nations Goodwill Ambassador for the Sustainable Development Goals (SDGs) in India in 2017. His role involved promoting awareness and action towards achieving the 17 SDGs by 2030.