The question asks to identify the person who does not belong to a specific group. This typically involves finding a common characteristic among most members of the group and then identifying the outlier.
C) Saina Nehwal is a famous Indian badminton player, while the other three individuals listed are celebrated chess players.
To find the Highest Common Factor (HCF) of a set of numbers, we can use the prime factorization method. This involves finding the prime factors of each number and then multiplying the common prime factors raised to their lowest powers.
Correct Option: B) 6
This problem involves setting up and solving a system of linear equations based on the age relationships given. We will assign variables to the ages of Satheesh, Goutham, and Sai, express their ages in terms of a single variable, and then use the total age to find the value of that variable.
The question asks for Goutham's age, which is 10 years.
B) 10 is the correct age for Goutham.
The question asks about the number of elements known to exist in nature according to Newlands' Law of Octaves. This requires recalling the historical context and specific details of Newlands' classification system.
Correct Option: A) According to Newlands, there were 56 elements known at the time he proposed his Law of Octaves, and he believed that no more elements would be discovered.
The question asks to identify the chemical compound used in the preparation of tincture iodine, cough syrup, and many tonics. This requires knowledge of common applications of various organic compounds, particularly alcohols and carboxylic acids.
D) Ethanol — Ethanol is widely used as a solvent in the pharmaceutical industry. Tincture iodine is a solution of iodine in ethanol. Many cough syrups and tonics use ethanol to dissolve active ingredients, enhance their absorption, and act as a preservative. It is suitable for internal consumption in small, controlled doses.
The problem is a coding-decoding question. We need to identify the pattern used to code "TREE" as "USFF" and then apply the same pattern to code "MANGO".
Let's compare the letters of "TREE" with "USFF" position by position.
The pattern observed is that each letter in the original word is shifted one position forward in the English alphabet to get its coded letter.
Now, we apply the same "+1" shift to each letter of "MANGO".
Combining the shifted letters, "MANGO" is coded as "NBOHP".
Correct Option: C) NBOHP
The question asks to identify the author of the book 'Selection Day', which uses India's obsession with cricket as its central theme. This requires knowledge of contemporary Indian literature and specific book titles by prominent authors.
Aravind Adiga is a well-known Indian author, winner of the Man Booker Prize. His novel 'Selection Day' (published in 2016) is indeed centered around two brothers from a Mumbai slum who are cricket prodigies and their journey through the competitive world of Indian cricket, reflecting the country's deep passion for the sport.
D) Aravind Adiga wrote 'Selection Day'. The novel explores the lives of two teenage brothers, Manjunath and Radha Kumar, who are groomed by their ambitious father to become cricket stars in Mumbai. The narrative delves into themes of class, ambition, and the pervasive influence of cricket in Indian society.
The mass of one molecule of oxygen is ______.
2.3 × 10-23 g
3.3 × 10-23 g
4.3 × 10-23 g
5.3 × 10-23 g
To find the mass of one molecule of oxygen, we need to use the concept of molar mass and Avogadro's number. The molar mass of oxygen (Oâ‚‚) is calculated from the atomic mass of oxygen. Avogadro's number tells us how many molecules are present in one mole of a substance.
Determine the atomic mass of oxygen: The atomic mass of oxygen (O) is approximately \(16 \text{ amu}\). In grams, the molar mass of atomic oxygen is \(16 \text{ g/mol}\).
Calculate the molar mass of an oxygen molecule (Oâ‚‚): An oxygen molecule consists of two oxygen atoms. Therefore, its molar mass is:
\[ \text{Molar mass of O}_2 = 2 \times \text{Atomic mass of O} = 2 \times 16 \text{ g/mol} = 32 \text{ g/mol} \]Recall Avogadro's number: Avogadro's number (\(N_A\)) is the number of particles (atoms, molecules, ions, etc.) in one mole of a substance. Its value is approximately \(6.022 \times 10^{23} \text{ molecules/mol}\).
Calculate the mass of one molecule of oxygen: The molar mass (in grams) contains Avogadro's number of molecules. So, the mass of one molecule can be found by dividing the molar mass by Avogadro's number:
\[ \text{Mass of one molecule of O}_2 = \frac{\text{Molar mass of O}_2}{\text{Avogadro's number}} \] \[ \text{Mass of one molecule of O}_2 = \frac{32 \text{ g/mol}}{6.022 \times 10^{23} \text{ molecules/mol}} \] \[ \text{Mass of one molecule of O}_2 \approx 5.3138 \times 10^{-23} \text{ g} \]Compare with the given options: The calculated value is approximately \(5.3 \times 10^{-23} \text{ g}\).
D) 5.3 × 10 -23 g is the correct answer, as it matches our calculated value.
This is a letter series question. We need to identify the pattern in the given sequence of letters and then apply that pattern to find the next two terms. The pattern usually involves the position of the letters in the English alphabet.
J = 10
L = 12
O = 15
S = 19
Difference between L and J: \(12 - 10 = 2\)
Difference between O and L: \(15 - 12 = 3\)
Difference between S and O: \(19 - 15 = 4\)
The differences are increasing by 1 each time: 2, 3, 4. This indicates that the next difference should be 5, and the one after that should be 6.
The next difference is 5. So, the next term will be \(19 + 5 = 24\).
The 24th letter in the alphabet is X.
The next difference is 6. So, the term after X will be \(24 + 6 = 30\).
Since there are only 26 letters in the alphabet, we need to find the letter corresponding to \(30 - 26 = 4\).
The 4th letter in the alphabet is D.
The next two terms are X and D.
C) X, D — Based on the identified pattern of increasing differences (2, 3, 4, 5, 6), the next two terms are X (19 + 5 = 24) and D (24 + 6 = 30, which is the 4th letter after wrapping around the alphabet).
To determine if a number is divisible by 12, we need to check if it is divisible by both 3 and 4. This is because \(12 = 3 \times 4\), and 3 and 4 are co-prime numbers.
We will apply these rules to each option.
Correct Option: A) 53412 is divisible by both 3 and 4, and therefore by 12.