The question asks to identify the Indian sportsman who became the youngest Gold Medalist in Shooting at the 2019 Khelo India games. This requires specific knowledge of the Khelo India games and their medalists.
Correct Option: B) Abhinav Shaw is the correct answer. He became the youngest gold medalist at the 2019 Khelo India Youth Games in shooting (10m Air Rifle mixed team event) at the age of 10.
To find the least square number exactly divisible by a set of numbers, we first need to find the Least Common Multiple (LCM) of those numbers. Then, we need to make the LCM a perfect square by multiplying it by the smallest possible integer that makes all prime factors have even powers.
Correct Option: A) 1600
The question asks to identify a member of the 'Allied Powers' group during World War II. To answer this, one needs to recall the primary alliances formed during that conflict.
A) USA was a key member of the Allied Powers. The United States officially entered World War II after the attack on Pearl Harbor in December 1941 and played a crucial role in the Allied victory.
If 2x = 4(y+1) and 3y = 3(x-9), then the respective values of x and y will be:
We are given two linear equations with two variables, \(x\) and \(y\). We need to solve this system of equations to find the values of \(x\) and \(y\). We can use either the substitution method or the elimination method. Here, we will use the substitution method.
Write down the given equations:
\[ 2x = 4(y+1) \quad \text{(Equation 1)} \]\[ 3y = 3(x-9) \quad \text{(Equation 2)} \]Simplify Equation 1:
\[ 2x = 4y + 4 \]\[ x = \frac{4y + 4}{2} \]\[ x = 2y + 2 \quad \text{(Equation 3)} \]Simplify Equation 2:
\[ 3y = 3x - 27 \]\[ y = x - 9 \quad \text{(Equation 4)} \]Substitute Equation 4 into Equation 3. This means replacing \(y\) in Equation 3 with \((x-9)\):
\[ x = 2(x-9) + 2 \]Solve for \(x\):
\[ x = 2x - 18 + 2 \]\[ x = 2x - 16 \]\[ 16 = 2x - x \]\[ x = 16 \]Now substitute the value of \(x = 16\) into Equation 4 to find \(y\):
\[ y = x - 9 \]\[ y = 16 - 9 \]\[ y = 7 \]Thus, the respective values of \(x\) and \(y\) are \(16\) and \(7\).
Correct Option: D) (16, 7)
The question asks to identify the DRDO-developed vehicle specifically designed for bomb detection and disposal. This requires knowledge of various defense technologies developed by DRDO and their specific applications.
Correct Option: A) Daksh is an electrically powered, remote-controlled robot developed by DRDO for locating, handling, and destroying hazardous objects, specifically improvised explosive devices (IEDs) and bombs. It is designed to disarm bombs with a jet of water, making it suitable for bomb disposal operations.
The problem is a coding-decoding question. We need to identify the pattern used to transform "APPLE" into "CRRNG" and then apply the same pattern to transform "BANANA".
Original word: A P P L E
Coded word: C R R N G
The pattern is consistently adding 2 to the alphabetical position of each letter.
B A N A N A becomes D C P C P C.
Correct Option: C) DCPCPC
The question asks to identify the individual appointed as UNICEF India's first-ever Youth Ambassador in 2018. This is a factual recall question related to current affairs and appointments.
Correct Option: C) Hima Das was appointed as UNICEF India's first-ever Youth Ambassador in 2018. She is an Indian sprinter who holds the current Indian national record in 400 meters. Her achievements and inspirational story made her a suitable choice for this role to inspire youth and advocate for children's rights.
The question asks to identify the highest peak of the Hindu Kush mountain range. This requires knowledge of major mountain ranges and their prominent peaks, a common topic in geography for competitive exams.
The Hindu Kush is a mountain range that stretches between central Afghanistan and northern Pakistan. Its highest peak is Tirich Mir.
Correct Option: C) Tirich Mir is the highest peak of the Hindu Kush mountain range, with an elevation of 7,708 meters (25,289 feet). It is located in the Chitral District of Khyber Pakhtunkhwa, Pakistan.
The question asks to identify the grandson of Bhima and Hidimba from the given options, based on the epic Mahabharata. This requires knowledge of the lineage of the Pandavas, specifically Bhima's family.
A) Barbarika — Barbarika was the son of Ghatotkacha and Maurvi (also known as Ahilawati). Since Ghatotkacha was the son of Bhima and Hidimba, Barbarika is their grandson. He is a significant character known for his immense power and vow to fight for the losing side, though he ultimately did not participate in the Kurukshetra War due to Krishna's intervention.
To find the new profit percentage, we first need to determine the Cost Price (CP) of the article. We can calculate the CP using the initial selling price and profit percentage. Once the CP is known, we can calculate the profit amount and then the profit percentage for the new selling price.
Given:
The formula relating SP, CP, and profit percentage is:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{P}\%}{100}\right) \]Substitute the given values:
\[ 750 = \text{CP} \times \left(1 + \frac{25}{100}\right) \] \[ 750 = \text{CP} \times \left(1 + 0.25\right) \] \[ 750 = \text{CP} \times 1.25 \]Now, solve for CP:
\[ \text{CP} = \frac{750}{1.25} \] \[ \text{CP} = \text{₹}600 \]Given the new Selling Price (\(\text{SP}_2\)) = ₹660.
Profit amount = \(\text{SP}_2 - \text{CP}\)
\[ \text{Profit} = 660 - 600 \] \[ \text{Profit} = \text{₹}60 \]The formula for profit percentage is:
\[ \text{Profit}\% = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 \]Substitute the calculated profit and CP:
\[ \text{Profit}\% = \left(\frac{60}{600}\right) \times 100 \] \[ \text{Profit}\% = \left(\frac{1}{10}\right) \times 100 \] \[ \text{Profit}\% = 10\% \]Correct Option: A) 10%