This is a statement and assumption type of question. We need to identify which of the given assumptions is implicitly contained in the statement. An assumption is something taken for granted or supposed. The statement suggests a strategy to retain employees. We must analyze the underlying belief or reason for this strategy.
C) Only assumption I is implicit
Refer to the following letter, number, symbol series and answer the question.
(Left) B F % 6 J Q 6 H & K M 8 1 5 T Z # @ K L 9 (Right)
How many such letters are there which are immediately preceded by a letter and also immediately followed by a number?
The problem asks us to identify letters in a given series that are immediately preceded by another letter and immediately followed by a number. We need to scan the series from left to right and apply this condition to each element.
C) 3. There are three such letters (Q, M, L) in the series that are immediately preceded by a letter and immediately followed by a number.
To answer this question, we need to understand the definition of capital receipts for a government. Capital receipts are those receipts that either create a liability or reduce financial assets. They are generally non-recurring in nature.
D) All – A, B and C. All the listed items – loans from the public, borrowings from foreign entities, and disinvestment of assets – are classified as capital receipts because they either create a liability or reduce the government's assets.
In a certain code language, MERGE is written as NHWNN and HEAVY is written as IHFCH. How will MORSE be written in that language?
The problem asks us to decode a word based on a given coding pattern. We need to analyze the pattern in the provided examples (MERGE to NHWNN and HEAVY to IHFCH) to determine the rule for letter transformation and then apply it to the word MORSE.
Correct Option: D) NRWZN
To find the LCM of two numbers given their ratio and HCF, we can use the fundamental relationship between two numbers, their HCF, and their LCM: the product of two numbers is equal to the product of their HCF and LCM. We can represent the numbers using the given ratio and HCF, then apply this relationship.
Let the two numbers be \(N_1\) and \(N_2\). The ratio of the two numbers is given as 5 : 7.
So, we can write the numbers as \(N_1 = 5x\) and \(N_2 = 7x\), where \(x\) is a common factor.
The HCF (Highest Common Factor) of two numbers is the largest number that divides both of them without leaving a remainder. For numbers \(5x\) and \(7x\), the common factor is \(x\). Since 5 and 7 are prime to each other (their HCF is 1), the HCF of \(5x\) and \(7x\) is \(x\).
We are given that the HCF is 8.
Therefore, \(x = 8\).
Now we can find the actual numbers:
\[ N_1 = 5x = 5 \times 8 = 40 \] \[ N_2 = 7x = 7 \times 8 = 56 \]The relationship between two numbers, their HCF, and their LCM is:
\[ N_1 \times N_2 = \text{HCF} \times \text{LCM} \]Substitute the values we have:
\[ 40 \times 56 = 8 \times \text{LCM} \]Solve for LCM:
\[ \text{LCM} = \frac{40 \times 56}{8} \] \[ \text{LCM} = 5 \times 56 \] \[ \text{LCM} = 280 \]Correct Option: C) 280
The question asks for the best definition of 'biodegradable'. We need to evaluate each option to see which one most accurately and comprehensively describes the term in an environmental and biological context.
Correct Option: C) Capable of being broken down into harmless products by the action of microbes
To identify which option is NOT an example of variable costs, we need to understand the definition of variable costs and fixed costs. Variable costs are expenses that change in proportion to the volume of goods or services produced, while fixed costs remain constant regardless of the production level.
Correct Option: C) Rent is a fixed cost, meaning it does not change with the level of production. Therefore, it is NOT an example of a variable cost.
The LCM and the HCF of two numbers are given as 459 and 3, respectively. If one number is 51, then find the other number:
This problem involves finding an unknown number given its Least Common Multiple (LCM) and Highest Common Factor (HCF) with another known number. The fundamental relationship between two numbers, their LCM, and their HCF is that the product of the two numbers is equal to the product of their LCM and HCF.
Correct Option: C) 27
Study the following number arrangement and answer the question given below. All numbers given below are 2-digit numbers.
78 25 96 36 14 45 76 79 39 34 31 38 29 24 26 16 37 43
What will be the sum of all prime numbers present in the above series?
To find the sum of all prime numbers in the given series, we need to first identify which numbers are prime. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. We will go through each number in the series and check if it meets the definition of a prime number. Finally, we will sum all the identified prime numbers.
78, 25, 96, 36, 14, 45, 76, 79, 39, 34, 31, 38, 29, 24, 26, 16, 37, 43
79, 31, 29, 37, 43
Correct Option: A) 219
Which of the following represents the equation (x+2)3 = x (x2−1) in standard form?