The question asks to identify the scientist or scientists responsible for establishing the fundamental laws of inheritance. This requires knowledge of key figures in genetics and their contributions.
C) Gregor Johann Mendel — Gregor Mendel, an Austrian monk, conducted extensive experiments with pea plants (\(Pisum \text{ sativum}\)) in the mid-19th century. Through his meticulous work, he deduced fundamental principles of heredity, which are now known as Mendel's Laws of Inheritance. These laws include the Law of Segregation, the Law of Independent Assortment, and the Law of Dominance. His work laid the foundation for modern genetics.
To solve this problem, we need to follow the order of operations, often remembered by the acronym PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division from left to right, Addition and Subtraction from left to right).
So, the value of the expression is \(43.984\).
Correct Option: D) 43.984
The problem presents a series of numbers, and we need to find the next number in the sequence. We will analyze the differences between consecutive terms to identify a pattern.
Correct Option: A) 20
What is the mean of the following distribution?
| Marks | 13 | 23 | 51 | 61 | 96 |
| No. of Students | 51 | 34 | 62 | 87 | 17 |
To find the mean of a frequency distribution, we use the formula for the weighted average. Each 'Marks' value is multiplied by its corresponding 'No. of Students' (frequency). The sum of these products is then divided by the total number of students (sum of frequencies).
The data is given in two rows: Marks (x) and No. of Students (f).
| Marks (x) | No. of Students (f) |
|---|---|
| 13 | 51 |
| 23 | 34 |
| 51 | 62 |
| 61 | 87 |
| 96 | 17 |
\[ \sum fx = 663 + 782 + 3162 + 5307 + 1632 = 11546 \]
\[ \sum f = 51 + 34 + 62 + 87 + 17 = 251 \]
\[ \text{Mean} = \frac{\sum fx}{\sum f} \]
\[ \text{Mean} = \frac{11546}{251} \]
\[ \text{Mean} \approx 46 \]
Correct Option: A) 46 is the calculated mean of the given distribution.
The question asks about the function of the pollen tube in plant reproduction. To answer this, we need to recall the process of pollination and fertilization in flowering plants.
C) carrying the male germ cell to the female germ cell in the ovary. This is the correct function of the pollen tube. It acts as a conduit for the male gametes (germ cells) to reach the female germ cell (egg cell) for fertilization.
A trader lost 10% by selling a shirt for ₹840. He will gain x% by selling it for ₹1,540, the value of x is:
To solve this problem, we first need to find the cost price (CP) of the shirt. We are given the selling price (SP) and the percentage loss. Once the CP is known, we can calculate the percentage gain (x%) when the shirt is sold at a new selling price.
The value of x is 65.
D) 65
The problem presents a series of letter-clusters. We need to identify the pattern in the letters within each cluster and the pattern in the progression of clusters to find the missing cluster.
Let's re-check the third letter calculation. The series is U(21), P(16), K(11), F(6). The difference is -5 each time. So, F(6) - 5 = 1, which is A. Let's re-examine the question and my initial analysis.
Let's re-evaluate the third letter sequence carefully:
So, the pattern for the third letter is also a subtraction of 5 from its alphabetical position.
Applying this corrected pattern for the third letter:
Thus, the next cluster is IEA.
B) IEA is the correct option because applying the pattern of subtracting 5 from the alphabetical position for each letter consistently across all three positions yields IEA.
The question describes a chemical reaction between potassium iodide and lead nitrate. This is a classic example of a double displacement reaction, specifically a precipitation reaction. In such reactions, the ions of the two reactants exchange places, leading to the formation of two new compounds, one of which is often an insoluble precipitate.
Therefore, the product formed as a precipitate is lead iodide.
D) Lead iodide (precipitate) is the correct answer because lead iodide is an insoluble compound formed when potassium iodide reacts with lead nitrate, resulting in a yellow precipitate.
The question asks to identify the landmark Supreme Court case where the 'Doctrine of Basic Structure' of the Indian Constitution was first enunciated. This doctrine is a fundamental concept in Indian constitutional law, limiting the Parliament's power to amend the Constitution.
Correct Option: C) Kesavananda Bharati case
The Supreme Court, in its landmark judgment in the Kesavananda Bharati v. State of Kerala case (1973), enunciated the 'Doctrine of Basic Structure'. This judgment held that while Parliament has the power to amend the Constitution, it cannot amend those provisions which form the 'basic structure' of the Constitution. This was a 13-judge bench decision, with a 7:6 majority, and is considered one of the most significant judgments in Indian constitutional history.
The question asks to identify which option is NOT a method of pollination. Pollination is the process by which pollen is transferred from the anther to the stigma of a flower. We need to evaluate each option based on whether it describes a known mechanism of pollen transfer.
Based on the analysis, "Asexual pollination" is not a recognized method of pollen transfer.
Correct Option: C) Asexual pollination is not a method of pollination. Pollination is a process involved in sexual reproduction, whereas asexual reproduction bypasses this step.