The question asks to identify the sportsperson who has won two consecutive Olympic medals for India. This requires knowledge of Indian Olympic medalists and their achievements over different Olympic cycles.
Correct Option: D) PV Sindhu is the correct answer. She won a silver medal in women's singles badminton at the 2016 Rio Olympics and a bronze medal in the same event at the 2020 Tokyo Olympics, making her the first Indian woman and only the second Indian athlete (after Sushil Kumar) to win two consecutive Olympic medals.
The question asks to identify a sexually transmitted viral disease from the given options. This requires knowledge of common sexually transmitted infections (STIs) and their causative agents (bacteria, viruses, etc.).
Based on this analysis, AIDS is the correct answer.
D) AIDS — AIDS is caused by the Human Immunodeficiency Virus (HIV), which is primarily transmitted through sexual contact, making it a sexually transmitted viral disease.
The phenomenon of marbles appearing enlarged when immersed in water is due to the refraction of light. We need to determine which type of lens exhibits a similar magnifying effect when light passes through it.
C) convex lens. A convex lens converges light rays and can produce magnified images, especially when the object is placed close to it. The water surface, in conjunction with the water medium, acts similarly to a convex lens, causing the marbles to appear enlarged due to refraction.
This question relates to the fundamental concepts of production theory, specifically the relationship between Total Product (TP) and Marginal Product (MP). Understanding how changes in MP affect TP is crucial for analyzing production stages.
B) TP increases at a decreasing rate. This is consistent with the law of diminishing marginal returns. As more units of a variable input are added, the marginal product eventually starts to decline, but as long as it's positive, total product continues to rise, albeit at a slower rate.
To determine which number is divisible by both 6 and 9, we need to apply the divisibility rules for 6 and 9. A number is divisible by 6 if it is divisible by both 2 and 3. A number is divisible by 9 if the sum of its digits is divisible by 9.
Correct Option: A) 3186 is divisible by both 6 and 9.
This is a linear arrangement puzzle. We need to deduce the seating order of seven people (N, O, P, S, W, X, Y) based on the given clues. We will build the arrangement step-by-step, eliminating possibilities until a unique order is found.
Clue 1: N sits fourth to the right of O.
This means there are three people between O and N. The arrangement looks like: O _ _ _ N.
Clue 2: Neither N nor O sit at any of the extreme ends of the line.
Since there are 7 people, N and O cannot be at positions 1 or 7. From clue 1, O _ _ _ N occupies 5 positions. If O is at position 2, N would be at position 6. This fits the condition. If O is at position 3, N would be at position 7, which is an extreme end, so this is not possible. Thus, O must be at position 2 and N at position 6.
Current arrangement: _ O _ _ _ N _
Clue 3: Only one person sits between N and P.
N is at position 6. P can be to the left or right of N. If P is to the right of N, it would be at position 8, which is not possible as there are only 7 people. So, P must be to the left of N. With one person between N and P, P must be at position 4.
Current arrangement: _ O _ P _ N _
Clue 4: S sits third to the right of P.
P is at position 4. Counting three positions to the right of P (P _ _ S), S will be at position 7.
Current arrangement: _ O _ P _ N S
Clue 5: W sits fourth to the right of X.
The remaining people are W, X, and Y. The remaining empty positions are 1, 3, and 5. For W to be fourth to the right of X, there must be three people between them (X _ _ _ W). The only way this can happen with the remaining spots is if X is at position 1 and W is at position 5.
Current arrangement: X O _ P W N S
Final placement:
The only person left is Y, and the only empty spot is position 3.
Final arrangement: X O Y P W N S
Answer the question: Who sits to the immediate right of Y?
Looking at the final arrangement, the person immediately to the right of Y is P.
Based on the step-by-step deduction, P sits to the immediate right of Y in the final arrangement X O Y P W N S.
A) N — N sits to the right of W, not Y. N is at position 6, while Y is at position 3.
B) X — X sits to the immediate left of O, not to the right of Y. X is at position 1, and Y is at position 3.
D) O — O sits to the immediate left of Y, not to the right. O is at position 2, and Y is at position 3.
We need to determine the second tallest child among six children based on the given height comparisons. We will use the information to establish a relative height order.
Total children: 6 (1, 2, 3, 4, 5, 6).
"Only three children are taller than 4."
This means 4 is the 4th tallest child. There are 3 children taller than 4 and 2 children shorter than 4. Let's represent height in decreasing order:
_ _ _ 4 _ _
"1 is taller than 3 but shorter than 4."
This places 1 and 3 in relation to 4. Since 1 is shorter than 4, 1 must be in one of the last two positions. Since 1 is taller than 3, 3 must be shorter than 1.
So, the order for these three is: 4 > 1 > 3.
Combining with the previous step:
_ _ _ 4 1 3
"5 is taller than 2 but not the tallest in the group."
This means 5 is not in the first position. Also, 5 > 2.
Identify remaining children and positions:
Children placed: 1, 3, 4.
Remaining children: 2, 5, 6.
Remaining positions (from tallest to shortest): 1st, 2nd, 3rd.
The current partial order is: _ _ _ 4 1 3
The children 2, 5, 6 must fill the first three positions.
Place 5 and 2:
We know 5 > 2. Also, 5 is not the tallest. This means 5 cannot be in the 1st position. Therefore, 5 must be in the 2nd or 3rd position. If 5 is in the 2nd position, then 2 must be in the 3rd position (since 5 > 2).
Place 6:
The only remaining child is 6, and the only remaining position is the 1st (tallest). So, 6 is the tallest.
Final order (tallest to shortest):
6 > 5 > 2 > 4 > 1 > 3
Identify the second tallest:
From the final order, 6 is the tallest, and 5 is the second tallest.
Correct Option: C) 5 is the second tallest person among the six children.
Refer to the following letter series and answer the question.
(Left) T S A B N U V T D Q S N M L A L E (Right)
How many such consonants are there, each of which is immediately preceded by a vowel and also immediately followed by a vowel?
The problem asks us to identify consonants in a given letter series that are immediately preceded by a vowel and immediately followed by a vowel. We need to go through the series letter by letter, identify consonants, and then check the letters on either side of them.
Correct Option: A) 1
The consonant 'L' (in the sequence A L E) is the only one that satisfies the condition of being immediately preceded by a vowel (A) and immediately followed by a vowel (E).
The question asks to identify the first Tirthankara of Jainism. This is a factual recall question from the history and religion section, specifically related to Jainism. Knowledge of the sequence of Tirthankaras is required to answer this question.
Correct Option: C) Rishabhanatha is the first of the 24 Tirthankaras of Jainism. He is also known as Adinatha, meaning "first lord".
If x − y = 9 and xy = 16, find the value of x2 + y2
The problem asks us to find the value of \(x^2 + y^2\) given the values of \(x - y\) and \(xy\). We can use the algebraic identity for the square of a difference: \((a - b)^2 = a^2 - 2ab + b^2\).
Recall the algebraic identity:
\[ (x - y)^2 = x^2 - 2xy + y^2 \]Rearrange the identity to solve for \(x^2 + y^2\):
\[ x^2 + y^2 = (x - y)^2 + 2xy \]Substitute the given values into the rearranged identity. We are given \(x - y = 9\) and \(xy = 16\).
\[ x^2 + y^2 = (9)^2 + 2(16) \]Calculate the squares and products:
\[ x^2 + y^2 = 81 + 32 \]Perform the addition:
\[ x^2 + y^2 = 113 \]A) 113 is the correct value for \(x^2 + y^2\).