The question asks for the establishment year of the World Trade Organization (WTO). This is a factual question related to international organizations and their history, which is a common topic in competitive exams.
Correct Option: A) 1995 is the correct year when the World Trade Organization was established and began its operations, replacing the GATT.
The question asks to identify a specific nationwide movement launched in December 2024 to promote cycling for fitness and sustainability. This requires knowledge of recent government initiatives or campaigns related to fitness and cycling in India.
D) Fit India Sundays on Cycle — This initiative was launched in December 2024 by the Ministry of Youth Affairs and Sports, under the Fit India Movement. Its objective is to encourage citizens to embrace cycling every Sunday, promoting it as a sustainable, eco-friendly, and inclusive fitness activity for all age groups across the nation.
The question asks to identify the pair of archers who won the gold medal in the compound mixed team event at the Archery World Cup 2025 Stage 1. This requires knowledge of recent sports achievements, specifically in archery.
Based on sports news and records, the Indian compound mixed team of Jyothi Surekha Vennam and Rishabh Yadav won the gold medal at the Archery World Cup 2025 Stage 1.
Correct Option: C) Jyothi Surekha Vennam and Rishabh Yadav
The problem requires us to evaluate a given mathematical expression after interchanging certain operators. We need to replace '+' with '–', '–' with '+', '×' with '÷', and '÷' with '×'. After performing these substitutions, we will evaluate the new expression following the order of operations (BODMAS/PEMDAS).
The question asks to identify the correct statements regarding the National Mission on Natural Farming (NMNF). We need to verify the accuracy of each statement based on known facts about the mission.
Correct Option: C) Only 2
The question asks to identify the tab in MS Word 365 that contains options for page margins, orientation, and size. We need to recall the primary functions associated with each tab listed in the options.
Correct Option: D) Layout
This problem involves a tangent to a circle, which forms a right-angled triangle with the radius at the point of tangency and the line segment connecting the center to the external point. We can use the Pythagorean theorem to find the length of the tangent.
Let O be the center of the circle, R be the radius, P be the external point, and T be the point of tangency on the circle.
We are given:
A fundamental property of tangents to a circle is that the radius drawn to the point of tangency is perpendicular to the tangent. Therefore, the angle \(\angle OTP\) is \(90^\circ\).
This means that triangle \(\triangle OTP\) is a right-angled triangle with the hypotenuse being \(OP\).
According to the Pythagorean theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, for \(\triangle OTP\):
\[ OP^2 = OT^2 + PT^2 \]Substitute the given values into the equation:
\[ (25)^2 = (7)^2 + PT^2 \]Calculate the squares:
\[ 625 = 49 + PT^2 \]Isolate \(PT^2\):
\[ PT^2 = 625 - 49 \]\[ PT^2 = 576 \]Take the square root to find \(PT\):
\[ PT = \sqrt{576} \]\[ PT = 24 \text{ cm} \]A) 24 cm is the calculated length of the tangent from point P to the point of tangency.
The question asks about the principle of citizenship that India began to follow more strictly after the 2003 Amendment. This requires knowledge of India's citizenship laws, particularly the changes introduced by the Citizenship (Amendment) Act, 2003.
Correct Option: D) Jus sanguinis (by blood)
The 2003 Amendment made the citizenship of parents (descent or bloodline) a more stringent condition for acquiring Indian citizenship by birth, thereby moving India's citizenship policy further towards the principle of jus sanguinis and away from pure jus soli.
To solve this problem, we need to first identify the odd and even digits in the given number. Then, we apply the specified operations (add 2 to odd digits, subtract 1 from even digits) to form a new number. Finally, we find the difference between the first digit from the left and the first digit from the right in this new number.
Identify the given number: The given number is 7481652.
Classify digits as odd or even:
Apply the operations to each digit:
Form the new number: Replace each original digit with its new value in the same position. Original number: 7 4 8 1 6 5 2 New number: 9 3 7 3 5 7 1
Identify the first digit from the left and the first digit from the right in the new number:
Calculate the difference: \[ \text{Difference} = \text{First digit from left} - \text{First digit from right} \] \[ \text{Difference} = 9 - 1 = 8 \]
Correct Option: D) 8
The question asks to identify the Indus Valley Civilization site where a large number of terracotta toys were discovered. This requires knowledge of the specific archaeological findings associated with major Harappan sites.
Correct Option: A) Mohenjo-daro
Mohenjo-daro is one of the largest and most important sites of the Indus Valley Civilization. Archaeological excavations at Mohenjo-daro have unearthed a vast collection of artifacts, including a remarkably large number of terracotta figurines. These include human figures, animal figures (like bulls, dogs, monkeys), and various toys such as carts, rattles, and bird-shaped whistles, indicating the widespread use of terracotta for both artistic and recreational purposes.