To solve this problem, we need to first calculate the square root of 16 and the square of 4 separately. Then, we will multiply these two results to find the final product.
The square root of a number is a value that, when multiplied by itself, gives the original number. For 16, we are looking for a number \(x\) such that \(x \times x = 16\).
\[ \sqrt{16} = 4 \]The square of a number is the result of multiplying the number by itself. For 4, we need to calculate \(4 \times 4\).
\[ 4^2 = 4 \times 4 = 16 \]Now, we multiply the square root of 16 (which is 4) by the square of 4 (which is 16).
\[ \text{Product} = \sqrt{16} \times 4^2 \]\[ \text{Product} = 4 \times 16 \]\[ \text{Product} = 64 \]Correct Option: B) 64
This question tests knowledge of standard units of digital information storage. The key is to understand the relationship between bytes, kilobytes (KB), megabytes (MB), and gigabytes (GB) in the context of computer memory, which typically uses powers of 2.
A) 1 Gigabyte = 1024 MB
This statement is correct. In computer science, units of memory are typically based on powers of 2. Therefore, 1 Gigabyte is precisely equal to 1024 Megabytes.
B) 1 Gigabyte = 1,000,000 Kilobytes
Let's convert 1 GB to KB:
\[ 1 \text{ GB} = 1024 \text{ MB} \]\[ 1 \text{ MB} = 1024 \text{ KB} \]\[ 1 \text{ GB} = 1024 \times 1024 \text{ KB} \]\[ 1 \text{ GB} = 1,048,576 \text{ KB} \]Therefore, 1 Gigabyte is 1,048,576 Kilobytes, not 1,000,000 Kilobytes. This option uses a decimal (base 10) approximation, which is common in marketing for hard drive capacities but not accurate for memory units.C) 1 Gigabyte = 10,000 MB
This is incorrect. As established, 1 Gigabyte is equal to 1024 MB, not 10,000 MB.
D) 1 Gigabyte = 100,000 KB
As calculated for option B, 1 Gigabyte is 1,048,576 KB. Therefore, 100,000 KB is significantly less than 1 Gigabyte, making this option incorrect.
This is a blood relations question. We need to establish the relationships between A, B, and C based on the given statements and then determine how B is related to C. We can use a family tree diagram or simply deduce the relationships step-by-step.
Correct Option: C) Grandparent
To convert the Roman numeral XCVI to an Arabic numeral, we need to understand the values of individual Roman numerals and the rules for combining them, especially the subtractive rule.
Thus, XCVI denotes 96.
C) 96 is the correct conversion of the Roman numeral XCVI.
World Tuberculosis (TB) day is observed on?
The question asks for the date on which World Tuberculosis (TB) Day is observed. This is a factual question related to international health observances.
Correct Option: B) 24 th March
The problem asks us to unscramble a given set of letters to form a meaningful English word and then identify the fifth letter of that unscrambled word. This is a word puzzle type of question.
B) K is the fifth letter of the unscrambled word "CRICKET".
The question asks to identify the definition of supplementary angles. This is a fundamental concept in geometry. We need to recall the definitions of different types of angle pairs based on their sum.
Correct Option: A) Angles totalling \(180^\circ\)
The question asks to identify the leader who coined the slogan 'Do or Die' during India's freedom struggle. This requires knowledge of key slogans and their proponents during the Indian independence movement.
Correct Option: C) Mahatma Gandhi gave the slogan 'Do or Die' during the Quit India Movement in 1942. He urged Indians to either make India an independent nation or die in the attempt.
This is a blood relation question. To solve this, we need to break down the statement into smaller parts, starting from the end of the sentence and working backward to establish the relationship between the individuals.
Correct Option: C) Sister — The step-by-step analysis shows that the girl is the only daughter of Rajiv's father, making her Rajiv's sister.
To solve this problem, we first need to calculate the cost price of one orange. Then, we calculate the selling price of one orange by applying the given gain percentage. Finally, we convert the selling price per orange to the selling price per dozen.
Calculate the Cost Price (CP) of one orange:
The man buys 144 oranges for Rs. 360.
\[ \text{CP of 1 orange} = \frac{\text{Total Cost}}{\text{Number of Oranges}} = \frac{360}{144} \]Simplifying the fraction:
\[ \frac{360}{144} = \frac{180}{72} = \frac{90}{36} = \frac{45}{18} = \frac{5}{2} = 2.50 \]So, the Cost Price of one orange is Rs. 2.50.
Calculate the Selling Price (SP) of one orange:
He sells them at a gain of 10%. The Selling Price is calculated as:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Gain Percentage}}{100}\right) \]Substituting the values:
\[ \text{SP of 1 orange} = 2.50 \times \left(1 + \frac{10}{100}\right) = 2.50 \times \left(1 + 0.10\right) = 2.50 \times 1.10 \]\[ \text{SP of 1 orange} = 2.75 \]
So, the Selling Price of one orange is Rs. 2.75.
Calculate the Selling Price per dozen:
A dozen contains 12 items. To find the selling price per dozen, multiply the selling price of one orange by 12.
\[ \text{SP per dozen} = \text{SP of 1 orange} \times 12 = 2.75 \times 12 \]\[ 2.75 \times 12 = 33 \]
Therefore, he sells them at Rs. 33 per dozen.
C) 33