To determine the oldest event among the given options, we need to recall the chronological order of these significant historical events in India's freedom struggle.
Comparing the dates, the Jallianwala Bagh Massacre (1919) is chronologically the earliest event among the options provided.
Correct Option: B) Jallianwala Bagh Massacre. This event took place on April 13, 1919, making it the oldest among the given options.
To find the least number that leaves a specific remainder when divided by several numbers, we first need to find the Least Common Multiple (LCM) of those divisors. The required number will then be the LCM plus the common remainder.
To find the LCM, we take the highest power of each prime factor present in the numbers:
\[ \text{LCM}(9, 16, 20, 24) = 2^4 \times 3^2 \times 5^1 \] \[ = 16 \times 9 \times 5 \] \[ = 144 \times 5 \] \[ = 720 \]Thus, 723 is the least number which when divided by 9, 16, 20, or 24 leaves 3 as a remainder in each case.
Correct Option: C) 723
The question asks to identify the odd one out from a given list of body parts. This type of question tests general knowledge and the ability to find a common characteristic among a group of items, and then identify the item that does not share that characteristic.
Correct Option: C) Chin. The chin is not a sensory organ, unlike the nose, eyes, and ears which are all involved in specific senses.
The diagonal of a cube is 6\(\sqrt{2}\) cm. The surface area of the cube is:
To find the surface area of a cube, we first need to determine the length of its side. We are given the diagonal of the cube. We can use the formula relating the diagonal of a cube to its side length, and then use the side length to calculate the total surface area.
Correct Option: B) 144 cm²
The question asks to identify the person who conferred the title of 'Mahatma' upon M.K. Gandhi. This is a factual question related to Indian history and the life of Mahatma Gandhi.
Correct Option: C) Rabindranath Tagore is credited with bestowing the title 'Mahatma' upon M.K. Gandhi. He first used this title in 1915, recognizing Gandhi's moral authority and selfless service.
The question asks to identify a microfinance scheme specifically for women that offers an interest rebate. We need to evaluate each option based on its primary objectives and features.
Correct Option: A) Mahila Samriddhi Yojana was a microfinance scheme launched by the Government of India in 1993. Its primary objective was to empower rural women by encouraging them to save and providing them with micro-credit facilities. A key feature of this scheme was the provision of an interest rebate on savings, making it an attractive option for women to build their financial independence.
The problem requires us to identify which of the given coding patterns, applied to the word MANGO, results in the coded word ORANGE becoming PTDRLK. We need to analyze each code provided for MANGO and then apply that same logic to ORANGE to see if it matches PTDRLK.
D) Code 4 is the correct code because when applied to ORANGE, it yields PTDRLK.
To find the ratio of simple interests, we will use the formula for simple interest: \(SI = \frac{P \times R \times T}{100}\). We will calculate the simple interest for both scenarios and then find their ratio.
Let the principal amount be \(P\).
First Scenario:
\[ SI_1 = \frac{P \times R_1 \times T_1}{100} \]
\[ SI_1 = \frac{P \times 5 \times 6}{100} \]
\[ SI_1 = \frac{30P}{100} \]
Second Scenario:
\[ SI_2 = \frac{P \times R_2 \times T_2}{100} \]
\[ SI_2 = \frac{P \times 8 \times 3}{100} \]
\[ SI_2 = \frac{24P}{100} \]
Ratio of Simple Interests:
We need to find the ratio \(SI_1 : SI_2\).
\[ \frac{SI_1}{SI_2} = \frac{\frac{30P}{100}}{\frac{24P}{100}} \]
The term \(\frac{P}{100}\) cancels out from both the numerator and the denominator.
\[ \frac{SI_1}{SI_2} = \frac{30}{24} \]
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 6.
\[ \frac{30 \div 6}{24 \div 6} = \frac{5}{4} \]
So, the ratio is \(5 : 4\).
A) 5 : 4 — As calculated, the ratio of the simple interests is \(5 : 4\).
The question asks for the SI unit of radioactivity. We need to identify the standard international unit for measuring the rate of radioactive decay.
Correct Option: A) Becquerel is the SI unit of radioactivity, defined as one nuclear decay per second.
To find the rate of compound interest, we use the compound interest formula: \(A = P \left(1 + \frac{R}{100}\right)^T\), where \(A\) is the amount, \(P\) is the principal, \(R\) is the rate of interest, and \(T\) is the time period. We will substitute the given values and solve for \(R\).
Correct Option: A) 3%