The question asks to identify the musical instrument played by Ustad Amjad Ali Khan. This requires knowledge of famous Indian classical musicians and their associated instruments.
Correct Option: B) Sarod — Ustad Amjad Ali Khan is a legendary Indian classical musician who is a virtuoso of the sarod. He belongs to the Bangash gharana (school) of music and has significantly contributed to popularizing the sarod globally.
The problem asks us to identify the odd one out from a given list of four words: Peacock, Woodpecker, Parrot, and Bat. This is a classification-based odd one out question, where we need to find a common characteristic among three items and identify the one that does not share that characteristic.
Correct Option: B) Bat
This problem can be solved using the concept of combinations. When two people shake hands, it's a unique event, and the order in which they shake hands does not matter (person A shaking person B's hand is the same as person B shaking person A's hand). This is a classic combination problem where we need to choose 2 people out of a group of 'n' people.
D) 190 is the correct answer, as calculated using the combination formula for choosing 2 people out of 20.
The problem requires us to find which of the given equations becomes correct after interchanging the mathematical signs '×' and '÷', and simultaneously interchanging the digits '2' and '4'. We need to apply these changes to each option and then evaluate the modified equation.
C) After interchanging '×' and '÷' and digits '2' and '4', the equation \(12 \times 4 \div 42 = 168\) becomes \(14 \div 2 \times 24 = 168\), which evaluates to \(7 \times 24 = 168\). This is correct.
The problem requires us to select three colours from a given group of six (P, Q, R, S, T, U) based on specific conditions. We are given that R is chosen and need to find the other two colours that must also be chosen.
Identify the given information:
Apply Condition I: "If P, Q or R is chosen, U cannot be chosen."
Since R is chosen, according to this condition, U cannot be chosen. So, U is eliminated from the selection.
Apply Condition II: "Either T or U must be chosen."
We already established that U cannot be chosen (from Step 2). Therefore, to satisfy Condition II, T must be chosen.
Current selection: R and T are chosen. We need one more colour.
Remaining available colours: P, Q, S (since R, T are chosen and U is eliminated).
Apply Condition III: "S and Q cannot be chosen together."
We need to pick one more colour from P, Q, S. Let's consider the possibilities:
The question asks which pair of colours must also be chosen if R is chosen. From our analysis, T must be chosen. We need to find the third colour that, when paired with T, forms one of the options.
Let's re-evaluate the options given that R is chosen and T must be chosen.
Check the options with R and T:
Only option B (TS) provides a valid pair of colours that can be chosen along with R.
B) TS
If R is chosen:
Therefore, if R is chosen, T and S must also be chosen to form a valid set of three colours.
A) QS — This option suggests choosing Q and S. However, Condition III explicitly states that S and Q cannot be chosen together. Therefore, this option is invalid.
C) PU — This option suggests choosing P and U. Since R is chosen, Condition I states that U cannot be chosen. Therefore, this option is invalid.
D) US — This option suggests choosing U and S. Since R is chosen, Condition I states that U cannot be chosen. Therefore, this option is invalid.
We are given the sum and product of two numbers and need to find their difference. We can set up two equations based on the given information and solve them simultaneously, or use an algebraic identity that relates sum, product, and difference.
Let the two numbers be \(x\) and \(y\).
From the problem statement, we have two equations:
We need to find the difference between the two numbers, which is \(|x - y|\).
We can use the algebraic identity: \((x - y)^2 = (x + y)^2 - 4xy\).
Substitute the values from Equation 1 and Equation 2 into the identity:
\[ (x - y)^2 = (20)^2 - 4(96) \]\[ (x - y)^2 = 400 - 384 \]\[ (x - y)^2 = 16 \]Now, take the square root of both sides to find \(x - y\):
\[ x - y = \pm\sqrt{16} \]\[ x - y = \pm 4 \]The difference between the two numbers is 4 (since the question asks for the difference, which is usually taken as a positive value, or the absolute difference).
From Equation 1, express \(y\) in terms of \(x\): \(y = 20 - x\).
Substitute this into Equation 2:
\[ x(20 - x) = 96 \]\[ 20x - x^2 = 96 \]Rearrange into a quadratic equation:
\[ x^2 - 20x + 96 = 0 \]Solve the quadratic equation by factoring. We need two numbers that multiply to 96 and add up to -20. These numbers are -8 and -12.
\[ (x - 8)(x - 12) = 0 \]So, the possible values for \(x\) are \(x = 8\) or \(x = 12\).
If \(x = 8\), then \(y = 20 - 8 = 12\). The numbers are 8 and 12.
If \(x = 12\), then \(y = 20 - 12 = 8\). The numbers are 12 and 8.
In either case, the difference between the two numbers is \(|12 - 8| = 4\).
Correct Option: A) 4
To calculate the compound interest, we first need to find the total amount accumulated after 3 years using the compound interest formula. Then, we subtract the principal amount from the total amount to get the compound interest.
Therefore, the compound interest is ₹10,123.20.
Correct Option: D) ₹10,123.20
The question asks to identify the first Secretary-General of the United Nations Organization (UNO). This is a factual question related to the history and leadership of the UN. Knowledge of key figures in international organizations is important for competitive exams.
D) Trygve Lie was indeed the first Secretary-General of the United Nations, serving from February 1946 to November 1952. He was a Norwegian politician and former Foreign Minister of Norway.
The question asks to identify a government-initiated insurance scheme administered by LIC specifically for rural landless households. We need to evaluate each option based on its target beneficiaries and administering body.
A) Aam Aadmi Bima Yojana is a government-initiated social security scheme administered by the Life Insurance Corporation of India (LIC) that provides insurance cover to rural landless households.
The question asks to identify the winner of the 2019 FIFA Club World Cup. This requires knowledge of major international football tournament results.
Correct Option: D) Liverpool
Liverpool Football Club won the 2019 FIFA Club World Cup, defeating Flamengo in the final. This was their first-ever FIFA Club World Cup title.