The question asks about Dobereiner's Law of Triads, a significant early attempt to classify elements. This law describes a specific relationship between the atomic masses of three chemically similar elements grouped together.
C) The arithmetical mean of the atomic masses of the first and the third elements of the triad is equal to that of the second one. This statement accurately describes Dobereiner's Law of Triads, where the second element is the middle element in the triad.
National Women’s Day is celebrated on which date in India?
The question asks for the date on which National Women's Day is celebrated in India. This is a factual question related to important days and dates in India.
B) 13 February is the correct answer. National Women's Day in India is celebrated on February 13 each year to mark the birth anniversary of Sarojini Naidu, also known as the "Nightingale of India" (Bharat Kokila).
The problem presents a letter-cluster analogy. We need to identify the relationship between the letters in the first pair (FINE : GKQI) and the second pair (MOST : NQVX). Once the pattern is identified, we apply the same pattern to the third pair (SEAL : ?) to find the missing letter-cluster.
The pattern is +1, +2, +3, +4 for consecutive letters.
The pattern is consistently +1, +2, +3, +4.
Therefore, SEAL becomes TGDP.
Correct Option: D) TGDP
The question asks to identify the sportsperson who received the Major Dhyan Chand Khel Ratna Award in 2021 specifically in the wrestling discipline. This requires knowledge of the award recipients for that year and their respective sports.
The Major Dhyan Chand Khel Ratna Award (formerly known as the Rajiv Gandhi Khel Ratna Award) is India's highest sporting honour. In 2021, a total of 12 sportspersons received this prestigious award. Among them, Ravi Kumar Dahiya was honored for his achievements in wrestling, particularly his silver medal win at the Tokyo 2020 Olympics.
C) Ravi Kumar — Ravi Kumar Dahiya received the Major Dhyan Chand Khel Ratna Award in 2021 for his outstanding performance in wrestling. He won a silver medal at the Tokyo 2020 Olympics in the men's 57 kg freestyle wrestling category.
The question asks about the tentative arrival period of monsoon winds in specific northern Indian regions (Punjab, Western Uttar Pradesh, and Haryana) during a normal monsoon year. This requires knowledge of the typical progression of the Indian monsoon.
Correct Option: D) First week of July
The monsoon typically reaches Punjab, Western Uttar Pradesh, and Haryana around the first week of July. This aligns with the normal progression of the monsoon from the southern tip of India towards the northwest.
The problem asks us to find the difference between the greatest and smallest angles of a quadrilateral, given the ratio of its angles. We know that the sum of the interior angles of any quadrilateral is 360 degrees. We will use this property along with the given ratio to find the individual angles and then their difference.
Let the angles of the quadrilateral be \(2x\), \(5x\), \(7x\), and \(10x\), where \(x\) is a common multiplier.
The sum of the interior angles of a quadrilateral is \(360^\circ\). Therefore, we can write the equation:
\[ 2x + 5x + 7x + 10x = 360^\circ \]Combine the terms on the left side:
\[ (2+5+7+10)x = 360^\circ \] \[ 24x = 360^\circ \]Solve for \(x\):
\[ x = \frac{360^\circ}{24} \] \[ x = 15^\circ \]Now, calculate the measure of each angle:
Identify the greatest and the smallest angles:
Find the difference between the greatest and the smallest angles:
\[ \text{Difference} = 150^\circ - 30^\circ = 120^\circ \]Correct Option: B) 120°
The question asks for the headquarters of the Central Institute of Indian Languages (CIIL). This is a factual question requiring knowledge of the institute's location.
D) Mysuru — The Central Institute of Indian Languages (CIIL) was established in 1969 and its headquarters is indeed located in Mysuru, Karnataka.
To find the time it takes for a sum of money to double itself at a given simple interest rate, we can use the formula for simple interest. When the sum doubles, the simple interest earned will be equal to the principal amount.
Let the principal amount be \(P\). If the sum of money doubles itself, the final amount will be \(2P\).
The simple interest (SI) earned is the final amount minus the principal amount. So, \(SI = 2P - P = P\).
The given rate of interest (\(R\)) is 10% per annum, which can be written as \(0.10\) in decimal form.
The formula for simple interest is:
\[ SI = \frac{P \times R \times T}{100} \]Substitute the known values into the formula:
\[ P = \frac{P \times 10 \times T}{100} \]Now, we need to solve for \(T\) (Time).
Divide both sides by \(P\) (assuming \(P \neq 0\)):
\[ 1 = \frac{10 \times T}{100} \]Simplify the equation:
\[ 1 = \frac{T}{10} \]Multiply both sides by 10 to find \(T\):
\[ T = 10 \text{ years} \]D) 10 years — The calculation shows that it takes 10 years for the principal amount to double at a 10% simple interest rate per annum.
The question asks to identify the river on which the Sardar Sarovar Dam is constructed in Gujarat. This requires knowledge of major Indian dams and their associated rivers and states.
Correct Option: C) The Sardar Sarovar Dam is indeed constructed on the Narmada River in Gujarat. It is a multi-purpose project providing irrigation and hydroelectric power to several states including Gujarat, Madhya Pradesh, Maharashtra, and Rajasthan.
To find the missing number in the series, we need to identify the pattern or rule governing the sequence. This often involves looking at the differences between consecutive terms, or differences of differences (second-order differences), to find a consistent arithmetic or geometric progression.
Thus, the missing number in the series is 307.
A) 307 is the correct answer based on the identified pattern of second-order differences.