The question asks about the inauguration venue of a specific event, the Festival of Innovation & Entrepreneurship (FINE), on a particular date. To answer this, one needs to recall or know the factual information regarding this event's inauguration.
B) Gandhinagar, Gujarat — President Ram Nath Kovind inaugurated the Festival of Innovation & Entrepreneurship (FINE) on March 15, 2019, in Gandhinagar, Gujarat.
The question asks to identify the odd one out from the given options. We need to analyze the relationship of each option with the core ingredient, milk, and determine which one has a different classification or function compared to the others.
B) Milk Dairy is the odd one out because it refers to the industry or facility where milk products are processed, whereas the other options (Chocolate Milk, Milkshake, Milk Cake) are all specific products made from milk.
If \( \frac{a}{b} \) = \( \frac{3}{2} \) and \( \frac{b}{c} \) = \( \frac{3}{5} \), then the value of \(\frac{a+b}{b+c}\) is:
\( \frac{9}{11} \)
\( \frac{15}{16} \)
\( \frac{6}{11} \)
\( \frac{5}{16} \)
To find the value of \( \frac{a+b}{b+c} \), we first need to establish a common ratio for \( a:b:c \) from the given ratios \( \frac{a}{b} \) and \( \frac{b}{c} \). Once we have the values of \( a \), \( b \), and \( c \) in terms of a common factor, we can substitute them into the expression.
Given Ratios:
We are given two ratios:
Make the common term 'b' equal:
From Equation 1, \( b = 2 \) parts when \( a = 3 \) parts.
From Equation 2, \( b = 3 \) parts when \( c = 5 \) parts.
To combine these ratios, we need to make the value of \( b \) the same in both. The least common multiple (LCM) of 2 and 3 is 6.
Multiply Equation 1 by \( \frac{3}{3} \):
\[ \frac{a}{b} = \frac{3 \times 3}{2 \times 3} = \frac{9}{6} \]Multiply Equation 2 by \( \frac{2}{2} \):
\[ \frac{b}{c} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \]Combine the Ratios:
Now we have \( a:b = 9:6 \) and \( b:c = 6:10 \).
Therefore, the combined ratio is \( a:b:c = 9:6:10 \).
We can represent \( a \), \( b \), and \( c \) as multiples of a common factor \( k \):
\( a = 9k \)
\( b = 6k \)
\( c = 10k \)
Substitute values into the expression:
We need to find the value of \( \frac{a+b}{b+c} \).
Cancel out \( k \) (assuming \( k \neq 0 \)):
\[ = \frac{15}{16} \]Correct Option: B) \( \frac{15}{16} \)
The question asks for the year when Jawaharlal Nehru laid the foundation stone of the National Museum in New Delhi. This is a factual question related to Indian history and cultural institutions. Recalling key historical dates associated with prominent national institutions is crucial for competitive exams.
Correct Option: B) 1955
The question asks to identify the specific Article of the Indian Constitution that establishes the Council of Ministers, headed by the Prime Minister, to aid and advise the President in the exercise of their functions. This is a direct question about the provisions of the Indian Constitution related to the Executive.
Correct Option: C) Article 74 (1)
The problem presents a series of letter pairs. To find the next pair, we need to identify the pattern in how the letters in each position (first and second) change from one pair to the next.
Correct Option: C) EJ
The first letter of each pair progresses alphabetically: A, B, C, D, E. The second letter of each pair also progresses alphabetically: F, G, H, I, J. Therefore, the next pair in the series is EJ.
An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?
\( \frac{2}{7} \)
\( \frac{3}{7} \)
\( \frac{4}{7} \)
\( \frac{5}{7} \)
To find the probability that both drawn balls are black when drawing without replacement, we need to calculate the probability of the first ball being black and then, given that the first was black, the probability of the second ball also being black. These probabilities are then multiplied together.
Correct Option: B) \( \frac{3}{7} \)
The question asks to identify the Municipal Corporation that was declared the best performing under the Pradhan Mantri Awas Yojana (PMAY) in December 2020. This requires knowledge of specific government awards and recognitions related to the PMAY scheme.
Correct Option: C) Vishakhapatnam
The Greater Visakhapatnam Municipal Corporation (GVMC) was awarded as the best performing Municipal Corporation in India under the Pradhan Mantri Awas Yojana (Urban) for the year 2019, with the awards being announced in December 2020. This recognition was for its excellent implementation of the PMAY-Urban scheme.
The problem states a relationship between percentages of two incomes, A and B. We need to find the ratio of these incomes, A : B. The approach involves setting up an equation based on the given information and then algebraically manipulating it to find the desired ratio.
Correct Option: A) 8 : 7
The problem is based on letter-to-number coding. We need to identify the pattern used to convert the word "Chair" into the number "4921019" and then apply the same pattern to the word "Mobile" to find the corresponding number.
First, let's assign numerical positions to each letter of the English alphabet (A=1, B=2, C=3, ..., Z=26).
The given code for "Chair" is 4921019. Let's compare the letter positions with the code:
The pattern is to add 1 to the alphabetical position of each letter.
Now, let's find the alphabetical positions for each letter in "Mobile" and add 1 to each.
Concatenating these numbers gives us the code for "Mobile": 1416310136.
B) 1416310136 — This matches the number derived by applying the identified pattern (alphabetical position + 1 for each letter).