The problem requires us to transform the letters of the word "JOURNALIST" based on specific rules: vowels are changed to the next letter in the alphabet, and consonants are changed to the previous letter. After applying these changes, we need to count how many letters appear exactly twice in the newly formed group of letters.
C) None — As determined in the step-by-step analysis, after applying the transformation rules, each letter in the new group (I, P, V, Q, M, B, K, J, R, S) appears exactly once. Therefore, there are no letters that appear exactly twice.
The question asks to identify the option that does NOT represent a property of liquids. We need to recall the fundamental properties of the three states of matter: solids, liquids, and gases, focusing specifically on liquids.
Correct Option: C) Liquids do not have fixed volume.
The question asks to identify the platform launched by the Ministry of Women and Child Development in 2024 for registering and monitoring complaints of sexual harassment of women at the workplace. This requires knowledge of recent government initiatives related to women's safety and workplace harassment.
The Ministry of Women and Child Development launched an online complaint management system called SHe-Box (Sexual Harassment Electronic Box) for women working in both public and private organizations to lodge complaints of sexual harassment at the workplace. While the question mentions 2024, SHe-Box was actually launched earlier, in 2017. However, among the given options, SHe-Box is the correct platform for this purpose, and it continues to be operational and monitored by the Ministry.
B) SHe-Box is the online complaint management system launched by the Ministry of Women and Child Development to register and monitor complaints of sexual harassment of women at the workplace. Although it was launched in 2017, it is the platform that fits the description of the service provided.
To determine the type of molecule, we need to count the number of atoms present in one molecule of the substance. The question asks about an oxygen molecule.
Correct Option: B) diatomic molecule. An oxygen molecule is composed of two oxygen atoms chemically bonded together, hence it is diatomic.
The problem asks us to find the mode of a distribution given its mean and median, using the empirical relation between these three measures of central tendency. The empirical relation states that for a moderately skewed distribution, the difference between the mean and mode is approximately three times the difference between the mean and median.
A) 15.54 — By applying the empirical formula \(\text{Mode} \approx 3 \times \text{Median} - 2 \times \text{Mean}\) with the given values, we get \(\text{Mode} \approx 3 \times 11 - 2 \times 8.73 = 33 - 17.46 = 15.54\).
The problem requires us to find which two numbers, when interchanged, will make the given mathematical equation correct. We will test each option by interchanging the specified numbers and then evaluating the equation using the BODMAS/PEMDAS rule (Brackets, Orders/Exponents, Division, Multiplication, Addition, Subtraction).
The given equation is:
\[ 3 \times (9 + 7 - 5) + (64 \div 2) - 22 + 78 - 8 \times 4 = 82 \]If we interchange 3 and 4, the equation becomes:
\[ 4 \times (9 + 7 - 5) + (64 \div 2) - 22 + 78 - 8 \times 3 \]\[ = 4 \times (16 - 5) + (32) - 22 + 78 - 24 \]\[ = 4 \times (11) + 32 - 22 + 78 - 24 \]\[ = 44 + 32 - 22 + 78 - 24 \]\[ = 76 - 22 + 78 - 24 \]\[ = 54 + 78 - 24 \]\[ = 132 - 24 \]\[ = 108 \]Since \(108 \neq 82\), Option A is incorrect.If we interchange 2 and 4, the equation becomes:
\[ 3 \times (9 + 7 - 5) + (64 \div 4) - 22 + 78 - 8 \times 2 \]\[ = 3 \times (16 - 5) + (16) - 22 + 78 - 16 \]\[ = 3 \times (11) + 16 - 22 + 78 - 16 \]\[ = 33 + 16 - 22 + 78 - 16 \]\[ = 49 - 22 + 78 - 16 \]\[ = 27 + 78 - 16 \]\[ = 105 - 16 \]\[ = 89 \]Since \(89 \neq 82\), Option B is incorrect.If we interchange 64 and 78, the equation becomes:
\[ 3 \times (9 + 7 - 5) + (78 \div 2) - 22 + 64 - 8 \times 4 \]\[ = 3 \times (16 - 5) + (39) - 22 + 64 - 32 \]\[ = 3 \times (11) + 39 - 22 + 64 - 32 \]\[ = 33 + 39 - 22 + 64 - 32 \]\[ = 72 - 22 + 64 - 32 \]\[ = 50 + 64 - 32 \]\[ = 114 - 32 \]\[ = 82 \]Since \(82 = 82\), Option C is correct.If we interchange 7 and 5, the equation becomes:
\[ 3 \times (9 + 5 - 7) + (64 \div 2) - 22 + 78 - 8 \times 4 \]\[ = 3 \times (14 - 7) + (32) - 22 + 78 - 32 \]\[ = 3 \times (7) + 32 - 22 + 78 - 32 \]\[ = 21 + 32 - 22 + 78 - 32 \]\[ = 53 - 22 + 78 - 32 \]\[ = 31 + 78 - 32 \]\[ = 109 - 32 \]\[ = 77 \]Since \(77 \neq 82\), Option D is incorrect.C) Interchanging 64 and 78 makes the equation correct.
This problem involves substituting given symbols with mathematical operators and then evaluating the resulting expression using the order of operations (BODMAS/PEMDAS).
The original equation is: \((35 \text{ L } 19) \text{ J } 4 \text{ I } 26 \text{ L } (7 \text{ J } 3) \text{ I } 11 = ?\)
Substituting the operators:
\[ (35 - 19) \times 4 + 26 - (7 \times 3) + 11 = ? \]BODMAS/PEMDAS stands for Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction. Operations within brackets are performed first.
First parenthesis: \(35 - 19 = 16\)
Second parenthesis: \(7 \times 3 = 21\)
The expression becomes:
\[ 16 \times 4 + 26 - 21 + 11 = ? \]\(16 \times 4 = 64\)
The expression becomes:
\[ 64 + 26 - 21 + 11 = ? \]\(64 + 26 = 90\)
\(90 - 21 = 69\)
\(69 + 11 = 80\)
C) 80 is the correct answer, as derived from the step-by-step evaluation of the expression.
The question describes a fundamental law of physics concerning the force of attraction between two bodies based on their masses and the distance between them. We need to identify which type of force this description corresponds to.
Correct Option: A) gravitational force — This force perfectly matches the description given, as per Newton's Law of Universal Gravitation.
The problem asks us to find the values of X and Y such that the mathematical operation relating the first number to the second number in the pair X : 803 is the same as the operation relating 469 : Y. We need to identify this common pattern.
Correct Option: A) X = 545, Y = 727. This option satisfies the pattern where the second number is obtained by adding 258 to the first number. Specifically, \(545 + 258 = 803\) and \(469 + 258 = 727\).