This is a coding-decoding problem where words are coded into a specific set of letters. We need to find the code for each individual word by comparing the given statements and then combine them to find the code for the target phrase.
Correct Option: D) pa ha fe
To find the minimum number to be subtracted from 6321 to make it completely divisible by 14, we need to perform division and find the remainder. The remainder will be the number that must be subtracted.
Correct Option: C) 7 — The remainder obtained when 6321 is divided by 14 is 7. This remainder is the minimum number that needs to be subtracted from 6321 to make it completely divisible by 14.
Jahangir was the ............ Mughal emperor of India.
To answer this question, one needs to recall the chronological order of the major Mughal emperors who ruled India. Listing them in sequence will help identify Jahangir's position.
B) Jahangir was the 4th Mughal emperor. The sequence of the first few major Mughal emperors is: Babur (1st), Humayun (2nd), Akbar (3rd), and Jahangir (4th).
This problem involves substituting given symbols with mathematical operators and then evaluating the resulting expression using the order of operations (BODMAS/PEMDAS).
The given expression is \(48 \text{ P } 8 \text{ Q } 6 \text{ R } 9 \text{ S } 31\).
Substituting the operators, we get:
\[ 48 \div 8 + 6 \times 9 - 31 \]BODMAS stands for Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Both dictate the same order of operations.
B) 29 is the correct answer after applying the given symbol substitutions and following the order of operations (BODMAS/PEMDAS).
The question asks to identify the British monarch who granted the charter to the East India Company in 1600. This requires knowledge of British history and the early colonial period in India.
Correct Option: A) Queen Elizabeth I
Queen Elizabeth I granted the royal charter to the East India Company on December 31, 1600. This charter gave the company a monopoly on trade with the East Indies for a period of fifteen years, marking the beginning of British commercial and later political involvement in India.
Ramdas invested Rs. 90,000 in a cosmetic business. After a few months, Shyamdas joined him with Rs. 30,000. At the end of the year, the total profit was divided between them in ratio 4 : 1. After how many months did Shyamdas join the business?
This problem involves partnership and profit sharing. The profit in a business is shared in the ratio of the product of the investment and the time period for which the investment was made. We will set up a ratio of (Investment \(\times\) Time) for Ramdas and Shyamdas and equate it to the given profit ratio to find the unknown time period.
Identify given values:
Determine the time period for Ramdas's investment:
Ramdas invested for the entire year. Since a year has 12 months, Ramdas's investment period is 12 months.
Determine the unknown time period for Shyamdas's investment:
Let Shyamdas's investment period be \(x\) months. We need to find after how many months Shyamdas joined, so the answer will be \(12 - x\).
Set up the ratio of (Investment \(\times\) Time):
The ratio of profits is equal to the ratio of (Investment \(\times\) Time).
Substitute the values into the ratio:
\[ \frac{90000 \times 12}{30000 \times x} = \frac{4}{1} \]Simplify the equation:
Cancel out common factors:
Solve for \(x\):
\[ 4x = 36 \]\[ x = \frac{36}{4} \]\[ x = 9 \]Calculate when Shyamdas joined:
Shyamdas invested for 9 months. Since the total period is 12 months, he joined after \(12 - 9 = 3\) months.
Correct Option: B) 3
Shyamdas joined the business after 3 months, as his investment was for 9 months out of the total 12 months of the year.
The question asks for the common name of Methane. We need to identify the correct common name from the given options, which are often associated with different gases.
Correct Option: C) Marsh gas — Methane is commonly known as marsh gas because it is produced naturally in marshy areas, swamps, and wetlands through the anaerobic decomposition of organic matter by methanogenic bacteria. It is a colorless, odorless, and flammable gas.
The question asks about the primary construction material of Hawa Mahal in Jaipur. This requires knowledge of Indian architectural history and the specific materials used in famous monuments.
C) Red and Pink sandstone. Hawa Mahal, also known as the "Palace of Winds," is a prominent landmark in Jaipur, Rajasthan. It was built in 1799 by Maharaja Sawai Pratap Singh and is constructed primarily from red and pink sandstone, giving it its distinctive color and earning Jaipur the nickname "Pink City."
The sum of the angles in any triangle is always 180 degrees. Given the ratio of the angles, we can represent the angles as multiples of a common factor and then use the sum property to find the value of that factor, and subsequently, the largest angle.
Let the angles of the triangle be \(x\), \(2x\), and \(3x\) degrees, according to the given ratio of 1:2:3.
The sum of the angles in a triangle is \(180^\circ\). Therefore, we can write the equation:
\[ x + 2x + 3x = 180^\circ \]Combine the terms on the left side of the equation:
\[ 6x = 180^\circ \]Solve for \(x\) by dividing both sides by 6:
\[ x = \frac{180^\circ}{6} \]\[ x = 30^\circ \]Now, find the measure of each angle:
The angles are \(30^\circ\), \(60^\circ\), and \(90^\circ\). The largest among these is \(90^\circ\).
Correct Option: C) 90°
The question asks to identify the true statement based on the provided text. We need to analyze the given statement carefully and deduce what can be logically concluded from it.
Correct Option: C) There is no monitoring system.