The question asks to identify the game in which the terms 'Ace' and 'Advantage' are commonly used. This requires knowledge of sports terminology.
D) Tennis is the game where both 'Ace' and 'Advantage' are standard and frequently used terms. An 'Ace' is a serve that is not returned by the opponent, resulting in a point. 'Advantage' is a scoring state in a game after the score reaches deuce (40-40), indicating that one player has won the point immediately following deuce.
To determine Ananya's final direction from her initial position, we need to visualize her movement step by step. We'll use a standard coordinate system where East is to the right, West to the left, North upwards, and South downwards.
Correct Option: A) South East is the correct direction from her initial position because she moved East and then South, placing her in the South-East quadrant relative to her starting point.
The question asks for the city where the foundation stone for the National Center for Technology for Ports, Waterways, and Coasts (NTCPWC) was laid. This is a factual question related to government initiatives and infrastructure development in India.
Correct Option: A) Chennai
This is an analogy question where we need to find the relationship between the first pair of words and apply the same relationship to the third word to find the fourth word.
Correct Option: C) Perceive — "Hear" is the ability to perceive sound, and "Listen" is the act of actively doing so. Similarly, "Sense" is the ability to detect stimuli, and "Perceive" is the act of becoming aware of or interpreting those stimuli through the senses. "Perceive" is a direct and active consequence or synonym of "sense" in this context.
A question is given followed by two statements. Identify which statement (s) is sufficient to answer the question.
Question:
A, B, P, O and D are standing in a circle. Who stands between O and P?
Statement:
1. P stands ahead of D
2. A stands to the right of D.
Statement 1 alone is sufficient.
Statements 1 and 2 together are sufficient.
Statements 1 and 2 together are insufficient.
Statement 2 alone is sufficient.
The problem asks us to determine who stands between O and P, given that five people (A, B, P, O, D) are standing in a circle. We need to evaluate if the provided statements (individually or combined) are sufficient to answer this question. We will analyze each statement and then their combination.
There are 5 people standing in a circle. Let's denote their positions. In a circle, 'ahead' usually means clockwise and 'right' means clockwise if facing the center.
This statement tells us the relative position of P with respect to D. For example, if D is at position 1, P could be at position 2 (immediately ahead), or position 3, or position 4. It does not specify the exact position of P relative to D, nor does it involve O. With 5 people, "ahead" could mean immediately ahead or further ahead. This statement alone is not sufficient to determine who is between O and P.
Similar to Statement 1, this statement gives the relative position of A with respect to D. "Right" typically implies immediate right in circular arrangements unless otherwise specified. However, even if it means immediately to the right, it only establishes a relationship between A and D. It does not involve O or P. Therefore, this statement alone is not sufficient to determine who is between O and P.
Let's combine the information:
Let's assume "ahead" and "right" mean immediately next in the clockwise direction for simplicity, as is common in such problems unless specified. If D is at a certain position, A is to D's immediate right (clockwise), and P is to D's immediate ahead (clockwise). This means A and P would occupy the same position, which is a contradiction as people are distinct. Therefore, "ahead" or "right" must mean somewhere ahead/right, not necessarily immediately. This ambiguity makes it impossible to draw a definitive arrangement.
Let's consider another interpretation: "ahead of D" means P is somewhere in the clockwise direction from D, and "right of D" means A is somewhere in the clockwise direction from D. This still doesn't give us a unique arrangement. We have 5 people: A, B, P, O, D.
Consider possible arrangements. If we place D, then A is to D's right, and P is ahead of D. This means both A and P are in the clockwise direction from D. We still don't know the exact positions of A and P relative to each other, or where O and B fit in. For example:
Since we can construct multiple valid arrangements based on the given statements, and these arrangements lead to different people being between O and P, the statements together are insufficient to answer the question.
C) Statements 1 and 2 together are insufficient.
This problem involves analyzing statements and conclusions based on the principles of syllogism, often visualized using Venn diagrams. We need to determine which conclusions logically follow from the given statements.
C) Only conclusion 1 follows.
A club house also has a private swimming pool. The following table shows the number of visitors here, in which both members and non-members are shown. Based on the given data, on average, how many visitors are members of the swimming pool and how many are non-members?
| Days | Swimming Pool Users Members | Swimming Pool Users Non-Members |
| Monday | 10 | 3 |
| Tuesday | 15 | 3 |
| Wednesday | 10 | 1 |
| Thursday | Closed | Closed |
| Friday | 10 | 2 |
| Saturday | 5 | 1 |
| Sunday | 30 | 10 |
Members: 12, Non-Members: 2
Members: 20, Non-Members: 3
Members: 13, Non-Members: 2
Members: 13, Non-Members: 3
To find the average number of members and non-members, we need to sum the total number of members and non-members over the given days and then divide by the number of days the swimming pool was open. Note that the swimming pool was closed on Thursday, so we should not count that day in our average calculation.
Sum the 'Members Swimming Pool Users' column for all days the pool was open.
\[ \text{Total Members} = 10 (\text{Monday}) + 15 (\text{Tuesday}) + 10 (\text{Wednesday}) + 10 (\text{Friday}) + 5 (\text{Saturday}) + 30 (\text{Sunday}) \]\[ \text{Total Members} = 80 \]Sum the 'Non-Members Swimming Pool Users' column for all days the pool was open.
\[ \text{Total Non-Members} = 3 (\text{Monday}) + 3 (\text{Tuesday}) + 1 (\text{Wednesday}) + 2 (\text{Friday}) + 1 (\text{Saturday}) + 10 (\text{Sunday}) \]\[ \text{Total Non-Members} = 20 \]The pool operates on Monday, Tuesday, Wednesday, Friday, Saturday, and Sunday. It is closed on Thursday.
\[ \text{Number of Operating Days} = 6 \]Divide the total members by the number of operating days.
\[ \text{Average Members} = \frac{\text{Total Members}}{\text{Number of Operating Days}} = \frac{80}{6} \]\[ \text{Average Members} = 13.33 \approx 13 \]Divide the total non-members by the number of operating days.
\[ \text{Average Non-Members} = \frac{\text{Total Non-Members}}{\text{Number of Operating Days}} = \frac{20}{6} \]\[ \text{Average Non-Members} = 3.33 \approx 3 \]Therefore, on average, there are 13 members and 3 non-members.
D) Members: 13, Non-Members: 3
This question tests the understanding of buoyancy and Archimedes' principle, specifically why an object sinks in water. We need to identify the statement that is NOT correct among the given options.
The question asks to identify the state where the Solar Energy Park, Shakti Sthala, was inaugurated in March 2018. This requires knowledge of significant renewable energy projects and their locations in India.
Correct Option: A) Karnataka
The Shakti Sthala Solar Park, one of the world's largest solar parks, was inaugurated in Pavagada, Tumakuru district, Karnataka, in March 2018. This park is a significant step towards India's renewable energy goals.
To solve this problem, we need to follow the order of operations, often remembered by the acronym BODMAS/PEMDAS. This stands for Brackets/Parentheses, Orders/Exponents, Division/Multiplication (from left to right), and Addition/Subtraction (from left to right).
The expression inside the bracket is \( (35 - 45 \div 3) \).
First, perform the division within the bracket:
\[ 45 \div 3 = 15 \]The original equation becomes:
\[ 56 \div 7 \times 20 \div 4 \]First division:
\[ 56 \div 7 = 8 \]Therefore, the value of the expression is 40.
Correct Option: C) 40