The problem asks us to decode a word based on a given pattern from two examples. We need to identify the rule applied to transform the original words into their coded forms and then apply the same rule to the target word 'BLACK'.
The coded word for 'BLACK' is 'SLACKB'.
D) SLACKB is the correct answer, as derived by applying the identified coding rule.
According to a survey, the percentage of people who read different genres books is shown in the following pie-chart. Blue represents people who read fantasy, red represents people who read mystery, green represents people who read horror, and purple represents people who read fiction. Study the pie-chart and answer the question.
The survey was conducted on 80% students of a school. How many students read mystery and horror books if the school has 47,500 students overall?
To solve this problem, we need to calculate the number of students who read mystery and horror books based on the percentage distribution given in the pie chart.
Surveyed students = 80% of 47,500
Calculate this number:
\[ \text{Surveyed students} = \frac{80}{100} \times 47,500 = 38,000 \]Correct Option: B) 13,300
The problem asks us to identify the relationship between the numbers in the given sets and then find an option that follows the same relationship. We need to analyze the given sets \((5, 315, 21)\) and \((9, 486, 18)\) to deduce the pattern.
Let the numbers be \(A\), \(B\), and \(C\). So, \(A=5\), \(B=315\), \(C=21\).
Let's try to find a relationship involving multiplication or division between these numbers. We can observe that \(315\) is a multiple of \(5\) and \(21\).
Consider the product of the first and third numbers: \(A \times C = 5 \times 21 = 105\).
Now, let's see how \(B\) relates to \(A \times C\). We have \(B = 315\). If we multiply \(A \times C\) by \(3\), we get \(105 \times 3 = 315\). So, the relationship could be \(B = 3 \times A \times C\).
Here, \(A=9\), \(B=486\), \(C=18\).
Using the proposed relationship \(B = 3 \times A \times C\):
\[ 3 \times 9 \times 18 = 27 \times 18 \]To calculate \(27 \times 18\):
\[ 27 \times 18 = 27 \times (20 - 2) = 27 \times 20 - 27 \times 2 = 540 - 54 = 486 \]Since \(486 = 486\), the relationship \(B = 3 \times A \times C\) holds true for both given sets.
We need to find an option \((A, B, C)\) where \(B = 3 \times A \times C\).
Correct Option: C) (10, 480, 16)
Let \(A=10\), \(B=480\), \(C=16\).
Check the relationship: \(3 \times A \times C = 3 \times 10 \times 16 = 30 \times 16\).
\[ 30 \times 16 = 480 \]Since \(B = 480\), the relationship holds true for this option.
Here, \(A=8\), \(B=368\), \(C=23\).
Check: \(3 \times A \times C = 3 \times 8 \times 23 = 24 \times 23\).
\[ 24 \times 23 = 552 \]Since \(552 \neq 368\), this option is incorrect.
Here, \(A=12\), \(B=560\), \(C=11\).
Check: \(3 \times A \times C = 3 \times 12 \times 11 = 36 \times 11\).
\[ 36 \times 11 = 396 \]Since \(396 \neq 560\), this option is incorrect.
Here, \(A=7\), \(B=294\), \(C=21\).
Check: \(3 \times A \times C = 3 \times 7 \times 21 = 21 \times 21\).
\[ 21 \times 21 = 441 \]Since \(441 \neq 294\), this option is incorrect.
This is a seating arrangement problem. We need to determine the positions of the four friends around a rectangular table based on the given clues and then identify which pair sits opposite each other. Since there are four people at the exact center of the sides of a rectangular table facing the center, each person will have one person sitting opposite them.
D) R - U. Based on our deduction, R is sitting opposite to U.
The question asks about the principal source and sector of occupation in the Indian economy just before Independence. This requires knowledge of India's economic structure under British colonial rule.
Correct Option: C) Agriculture was the principal source and sector of occupation of the Indian economy on the eve of Independence. Approximately 70-75% of the working population was engaged in agriculture and allied activities.
The question asks to identify the geographical feature that separates southeastern India from northern Sri Lanka, specifically the inlet of the Bay of Bengal. This is a common geographical term that candidates for competitive exams should be familiar with.
Correct Option: A) Palk Strait is the correct geographical term for the inlet of the Bay of Bengal situated between southeastern India and northern Sri Lanka.
The question asks why the sky appears dark from a satellite. This phenomenon is related to how light interacts with the Earth's atmosphere. We need to consider the optical processes that occur in the presence or absence of an atmosphere.
C) no scattering occurs
In the vacuum of space, there are no atmospheric particles to scatter sunlight. Therefore, the light from the Sun travels in a straight line, and the space around it appears dark because there is no scattered light to illuminate it. This is why astronauts see a dark sky even when the Sun is shining brightly.
Simplify the following.
\( \frac{1}{12} \) + \( \frac{1}{16} \) − \( \frac{1}{8} \)
\( \frac{1}{48} \)
\( \frac{3}{24} \)
\( \frac{13}{48} \)
\( \frac{1}{24} \)
To simplify the given expression involving fractions, we need to find a common denominator for all the fractions. This common denominator is the Least Common Multiple (LCM) of the denominators. Once we have a common denominator, we can perform the addition and subtraction operations on the numerators.
Correct Option: A) \( \frac{1}{48} \)
The question asks for the full form of TEDP, a structured training program under the Department of Science and Technology (DST), Government of India. This requires knowledge of specific government initiatives and their acronyms.
Correct Option: D) Technology Based Entrepreneurship Development Programme
The Technology Based Entrepreneurship Development Programme (TEDP) is a flagship initiative of the National Science & Technology Entrepreneurship Development Board (NSTEDB), which operates under the Department of Science and Technology (DST), Government of India. Its primary objective is to train and motivate science and technology graduates and diploma holders to take up entrepreneurship as a career by providing them with necessary skills and knowledge to convert their innovative ideas into viable business ventures.
The problem asks us to identify a set of three numbers that follows the same logical relationship as the given sets: (8, 5, 12) and (2, 6, 22). We need to find a pattern or operation involving the first two numbers that results in the third number.
B) (1, 6, 23)