The question asks to identify the Indian statistician who played a crucial role in formulating India's industrialization strategy during the Second Five Year Plan. This requires knowledge of key figures associated with India's economic planning history.
A) Prasanta Chandra Mahalanobis was a world-renowned Indian statistician and a key architect of India's Second Five Year Plan. He developed the Mahalanobis model, which laid the foundation for the plan's emphasis on rapid industrialization and the development of heavy industries. His contributions are central to understanding India's early economic planning.
This question tests the understanding of congruence criteria for right-angled triangles. Specifically, it asks for the condition under which two right-angled triangles are congruent. The key is to recall the RHS (Right angle-Hypotenuse-Side) congruence criterion.
D) When their hypotenuses are equal and one of the sides of one of these triangles is equal in length to the corresponding side of the other triangle
This statement perfectly describes the RHS (Right angle-Hypotenuse-Side) congruence criterion. Since both triangles are right-angled, the right angle condition is inherently met. If their hypotenuses are equal and one pair of corresponding sides are equal, the triangles are congruent.
This is a syllogism problem. We need to evaluate the given conclusions based on the provided statements. We can use Venn diagrams to visually represent the relationships between the categories and determine which conclusions logically follow.
B) Only conclusion II follows
The question asks about the location of India's first Graphene Innovation Centre. This is a factual question related to current affairs and technological developments in India. To answer correctly, one needs to recall the specific state where this center was established.
Correct Option: D) Kerala
The first Graphene Innovation Centre of India, known as the India Innovation Centre for Graphene (IICG), is being established in Kerala. This center is a collaborative effort involving the Ministry of Electronics and Information Technology (MeitY), Government of India, the Government of Kerala, and Tata Steel Limited. It aims to position India as a global leader in graphene research and development.
The question asks about the origin of the Tapi River. To answer this, one needs to recall the geographical features and river systems of India, specifically the major mountain ranges and their associated rivers.
Correct Option: A) Satpura range — The Tapi River originates from Multai in the Betul district of Madhya Pradesh, which lies in the Satpura range. The river flows westward into the Arabian Sea.
The question asks to identify the official language of Goa. This requires knowledge of the official languages of Indian states and Union Territories.
Goa is a state on the southwestern coast of India. Its official language is Konkani. Konkani is one of the 22 languages recognized by the Eighth Schedule of the Indian Constitution.
Correct Option: B) Konkani is the official language of Goa. It is an Indo-Aryan language spoken by the Konkani people along the western coast of India.
Refer to the following letter-symbol series and answer the question.
R # A $ G H K % T B M & N Y ÷ X B / L Q @ D
If the second symbol and third letter from the left end of the series are combined with the fifth and sixth terms from the right end of the series, then what letter-symbol combination will be formed?
The problem asks us to identify specific elements from a given letter-symbol series based on their positions from the left and right ends, and then combine them to form a new sequence. We need to carefully count the positions to avoid errors.
The combination formed is # G / B. However, looking at the options, option D is \) G / B. Let's re-check the first element. The question asks for the "second symbol".
Let's re-evaluate the first part: "second symbol and third letter from the left end".
Series: R # A \( G H K % T B M & N Y ÷ X B / L Q @ D
1. Second symbol from the left: The symbols are #, \), %, &, ÷, /, @. The second symbol is \(.
2. Third letter from the left: The letters are R, A, G, H, K, T, B, M, N, Y, X, B, L, Q, D. The third letter is G.
Now let's re-evaluate the second part: "fifth and sixth terms from the right end".
Series: R # A \) G H K % T B M & N Y ÷ X B / L Q @ D
3. Fifth term from the right: Counting from the right: D (@ Q L /). The fifth term is /.
4. Sixth term from the right: Counting from the right: D (@ Q L / B). The sixth term is B.
Combining these four elements in order: Second symbol from left, third letter from left, fifth term from right, sixth term from right.
This gives: \( G / B.
Thus, the correct combination is \) G / B.
The question asks to identify the state with the largest concentration of Buddhism according to the 2011 Census data. This requires knowledge of the demographic distribution of religions in India, specifically Buddhism.
According to the 2011 Census, Maharashtra has the largest Buddhist population in India, both in absolute numbers and as a significant percentage of its state population (around 5.8%). This is largely due to the Neo-Buddhist movement initiated by Dr. B.R. Ambedkar.
Correct Option: A) Maharashtra has the largest concentration of Buddhists in India as per the 2011 Census, primarily due to the Neo-Buddhist movement.
Baking powder is a leavening agent used in baking. It typically consists of a base (baking soda) and an acid, along with a starch to absorb moisture and prevent premature reaction. The key is that the acid must be mild and edible to be safe for consumption and to react appropriately.
Correct Option: D) baking soda + mild edible acid
This option accurately describes the composition of baking powder. Baking soda (sodium bicarbonate) is the base, and it is combined with a mild, edible acid (like tartaric acid or cream of tartar) to produce carbon dioxide gas when moistened and heated, which helps baked goods rise.
To solve this problem, we need to compare the positions of digits in the original number with their positions after the digits are arranged in ascending order. We will list the original number and then the new number, aligning the digits by their positions, and then count how many digits remain in the same position.
Identify the original number: The given number is 354982.
List the digits and their original positions:
| Position | 1st | 2nd | 3rd | 4th | 5th | 6th |
|---|---|---|---|---|---|---|
| Digit | 3 | 5 | 4 | 9 | 8 | 2 |
Arrange the digits in ascending order: The digits in the number 354982 are 3, 5, 4, 9, 8, 2. Arranging these in ascending order gives us 2, 3, 4, 5, 8, 9.
Form the new number and list its digits and positions: The new number formed by arranging the digits in ascending order is 234589.
| Position | 1st | 2nd | 3rd | 4th | 5th | 6th |
|---|---|---|---|---|---|---|
| Digit (Original) | 3 | 5 | 4 | 9 | 8 | 2 |
| Digit (New) | 2 | 3 | 4 | 5 | 8 | 9 |
Compare the digits at each position:
Count the number of unchanged positions: The digits at the 3rd and 5th positions remain unchanged (4 and 8 respectively).
Therefore, two digits remain in the same position.
Correct Option: B) Two