The question asks us to identify the pair of words that share the same relationship as "Car : Travel". This is an analogy question, where we need to find the underlying connection between the given pair and then apply that connection to the options.
B) Book : Read
Just as a Car is used for Travel, a Book is used for Reading. The relationship is "Object : Its primary function/purpose".
The question asks for the city where a 33 ft tall bronze statue of Swami Vivekananda was inaugurated on National Youth Day in 2019. This is a factual question related to current events and general knowledge, specifically concerning significant inaugurations and national observances.
B) Ranchi, Jharkhand — On January 12, 2019, coinciding with National Youth Day, a 33-foot tall bronze statue of Swami Vivekananda was indeed inaugurated by the then President Ram Nath Kovind at the Ramakrishna Mission Ashram in Ranchi, Jharkhand. This makes option B the correct answer.
The question asks to identify the true statement among the given options regarding properties of a triangle. We will evaluate each option based on geometric definitions and theorems.
Let the sides of the triangle be \(a, b, c\) and the medians be \(m_a, m_b, m_c\). The perimeter of the triangle is \(P = a+b+c\).
Consider a triangle ABC with median AD to side BC. Extend AD to E such that AD = DE. Join BE and CE. Then ABEC is a parallelogram, so AB = CE and AC = BE.
In triangle BDC, by the triangle inequality, the sum of two sides is greater than the third side. However, a known property relating medians and sides is:
Adding these inequalities:
\[ (a+b) + (b+c) + (c+a) > 2m_c + 2m_a + 2m_b \]\[ 2(a+b+c) > 2(m_a+m_b+m_c) \]\[ a+b+c > m_a+m_b+m_c \]\[ \text{Perimeter} > \text{Sum of medians} \]Or, equivalently, the sum of medians is less than the perimeter. Thus, statement B is true.If a × b = a + b +\(\sqrt{\frac{a}{b}}+\sqrt{ab}\), then what will be the value of 16 × 4?
The problem defines a new binary operation '×' in terms of standard arithmetic operations. To find the value of 16 × 4, we need to substitute \(a=16\) and \(b=4\) into the given definition of the operation and then simplify the expression.
The operation is defined as:
\[ a \times b = a + b + \sqrt{\frac{a}{b}} + \sqrt{ab} \]We need to calculate 16 × 4. Comparing this with \(a \times b\), we have \(a = 16\) and \(b = 4\).
Substitute \(a=16\) and \(b=4\) into the given formula:
\[ 16 \times 4 = 16 + 4 + \sqrt{\frac{16}{4}} + \sqrt{16 \times 4} \]Correct Option: C) 30
The problem asks us to decode a word based on a given coding pattern. We need to identify the rule by which "ALCHEMIST" is transformed into "YJAFCKGQR" and then apply the same rule to "ALPHONSE".
Let's write down the letters of the original word and the coded word, along with their alphabetical positions (A=1, B=2, ..., Z=26):
By observing the alphabetical positions, we can see a consistent pattern:
The pattern is that each letter is shifted two places backward in the alphabet (or \(X-2\)). If the result is less than 1, we wrap around from Z.
Combining the coded letters, we get YJNFMLQC.
B) YJNFMLQC is the correct option as it matches the result obtained by applying the identified coding pattern (each letter shifted two places backward).
The question asks to identify a specific government scheme based on its launch date (April 8, 2015) and its loan categories (Shishu, Kishore, Tarun) with their respective loan limits. This requires knowledge of major Indian government schemes and their features.
D) Pradhan Mantri Mudra Yojana (PMMY) was launched on April 8, 2015, to provide financial assistance to non-corporate, non-farm small/micro-enterprises. It offers loans up to ₹10 lakh through three categories: 'Shishu' (loans up to ₹50,000), 'Kishore' (loans above ₹50,000 and up to ₹5 lakh), and 'Tarun' (loans above ₹5 lakh and up to ₹10 lakh).
Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it. 
The diagram presents a pattern of numbers arranged in a geometric shape. To find the missing number, we need to identify the relationship between the numbers in the pattern.
Correct Option: D) 10
The problem presents a pattern where two numbers are operated upon by a symbol '○' to produce three results. We need to identify the operations performed to get these three results from the two input numbers and then apply the same logic to solve the third equation.
Analyze the first equation: \(4 \text{ ○ } 3 = 16; 9; 25\)
Analyze the second equation: \(6 \text{ ○ } 2 = 36; 4; 40\)
Identify the pattern: Let the two numbers be \(A\) and \(B\). The three results are:
Apply the pattern to the third equation: \(7 \text{ ○ } 4 = ?; ?; ?\) Here, \(A = 7\) and \(B = 4\).
Thus, \(7 \text{ ○ } 4 = 49; 16; 65\).
Correct Option: C) 49, 16, 65
Nuclear fusion is a process where two or more light atomic nuclei combine to form a heavier nucleus, releasing a tremendous amount of energy. This process powers stars, including our Sun. For fusion to occur, the nuclei must overcome their electrostatic repulsion (Coulomb barrier), which requires extremely high temperatures and pressures.
Correct Option: A) 100 million K is the approximate temperature required for nuclear fusion. This high temperature provides the nuclei with enough kinetic energy to overcome their electrostatic repulsion and fuse.
The question asks for the correct meaning of 'Lokayukta' in the context of the Indian Constitution. We need to identify the option that accurately describes its function and operational level.
C) A body operating at the state level to investigate an individual's complaint against public servants or any politician with respect to corruption. This option accurately describes the Lokayukta's operational level (state) and its primary function (investigating corruption complaints against public servants and politicians).