The problem asks us to identify the option where the words share the same relationship as "Bread : Slice". We need to determine the relationship between "Bread" and "Slice" first, and then apply that same relationship to the given options.
Correct Option: B) Ice Cream : Scoop
The relationship between "Ice Cream" and "Scoop" is that a scoop is a standard unit or portion of ice cream, just as a slice is a standard unit or portion of bread.
This problem involves the concepts of Least Common Multiple (LCM) and ratios. We are given the LCM of two numbers and their ratio. We need to find the product of these two numbers. The key property to use here is that for any two positive integers \(a\) and \(b\), the product of the numbers is equal to the product of their LCM and HCF (Highest Common Factor), i.e., \(a \times b = \text{LCM}(a, b) \times \text{HCF}(a, b)\).
Represent the numbers using the given ratio:
Let the two numbers be \(N_1\) and \(N_2\). Given that their ratio is \(1 : 2\), we can write the numbers as \(N_1 = x\) and \(N_2 = 2x\), where \(x\) is a common factor (which is also their HCF).
Find the LCM of the numbers in terms of \(x\):
The numbers are \(x\) and \(2x\).
The LCM of \(x\) and \(2x\) is \(2x\).
Use the given LCM to find \(x\):
We are given that the LCM of the two numbers is \(24\).
So, \(2x = 24\).
Dividing both sides by \(2\), we get \(x = 12\).
Determine the two numbers:
Using \(x = 12\):
\(N_1 = x = 12\)
\(N_2 = 2x = 2 \times 12 = 24\)
So, the two numbers are \(12\) and \(24\).
Calculate the product of the two numbers:
Product \(= N_1 \times N_2 = 12 \times 24\)
Product \(= 288\).
Represent the numbers:
Let the numbers be \(x\) and \(2x\). Here, \(x\) is the HCF of the two numbers.
Calculate LCM:
The LCM of \(x\) and \(2x\) is \(2x\).
Equate LCM to the given value:
Given LCM is \(24\). So, \(2x = 24\), which implies \(x = 12\).
Identify HCF:
Since \(x\) is the HCF, HCF \(= 12\).
Apply the formula:
Product of numbers \(= \text{LCM} \times \text{HCF}\)
Product of numbers \(= 24 \times 12\)
Product of numbers \(= 288\).
Both methods yield the same result.
D) The product of the two numbers is \(288\).
The question asks to identify which of the given options is NOT an operating system. We need to understand what an operating system is and then evaluate each option.
Correct Option: D) Intel is a company that manufactures processors (hardware), not an operating system.
The question asks to identify which of the given banks was NOT a public sector bank as of 2019. This requires knowledge of the classification of banks in India, specifically distinguishing between public sector and private sector banks.
D) South Indian Bank is a private sector bank. As of 2019, and currently, it operates as a private entity, not controlled by the government.
The question asks for the year in which the UN General Assembly defined the Sustainable Development Goals (SDGs). This is a factual question related to international environmental and development agreements. Recalling the timeline of major UN initiatives is key to answering this.
Correct Option: C) 2015
This problem involves calculating distance based on different speeds and a time difference. We can use the fundamental formula relating distance, speed, and time: \(\text{Distance} = \text{Speed} \times \text{Time}\). Let the unknown distance be \(D\). We will express the time taken by each person in terms of \(D\) and their respective speeds. Then, we will use the given time difference to form an equation and solve for \(D\).
Define variables:
Calculate time taken by each man:
Use the given time difference:
Formulate the equation:
\[ \frac{D}{3} - \frac{D}{3.75} = 0.5 \]Solve for D:
Correct Option: C) 7.5 km
The question asks to identify the Indian classical dance form with which Pandit Birju Maharaj was famously associated. This requires knowledge of prominent Indian classical dancers and their respective dance forms.
Correct Option: B) Pandit Birju Maharaj was a legendary exponent of the Kathak dance form. He was a master of the Lucknow Kalka-Bindadin gharana and was known for his expressive abhinaya (facial expressions) and intricate footwork.
The positive value of \(\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}\) is:
To solve this problem, we need to evaluate the given expression by simplifying it from the innermost square root outwards. This involves calculating the square root of each number sequentially.
A) The positive value of the given expression is 4.
The question asks us to identify the odd one out from a given set of four words. We need to find a common characteristic among three of the words and identify the one that does not share that characteristic.
Correct Option: D) Chocolate is the odd one out because it is not a dairy product, unlike Cream, Cheese, and Butter which are all derived from milk.
To find the missing number in the series, we need to identify the pattern or relationship between consecutive numbers. We will calculate the differences between adjacent terms and look for a consistent progression.
Correct Option: B) 18