The problem is a coding-decoding question where a word is coded into a sequence of numbers. We need to identify the pattern used for coding the word 'STARE' and then apply the same pattern to code the word 'MOULD'.
The word 'STARE' is coded as '19201185'.
When we concatenate these positional values, we get \(19 \ 20 \ 1 \ 18 \ 5\), which matches the given code '19201185'.
The pattern is to replace each letter of the word with its corresponding numerical position in the English alphabet.
Concatenating these positional values gives \(13 \ 15 \ 21 \ 12 \ 4\), which results in '131521124'.
Correct Option: C) 131521124
Which city will host the 2016 Summer Olympics? (as of 2016)
This question tests general knowledge about major international sporting events. Specifically, it asks about the host city for the 2016 Summer Olympics. Candidates for competitive exams are expected to know the host cities of recent and upcoming Olympic Games.
Correct Option: B) Rio de Janeiro was the host city for the 2016 Summer Olympics.
This problem can be solved using the concept of "Man-Days-Hours" which states that the total amount of work is directly proportional to the number of men, the number of days, and the number of hours worked per day. We can set up an equation relating the initial conditions to the final conditions to find the unknown number of men.
Understand the formula: The total work done can be considered constant. The relationship between men (M), days (D), and hours per day (H) is given by:
\[ M_1 \times D_1 \times H_1 = M_2 \times D_2 \times H_2 \]Identify the given values for the first scenario:
Identify the given values for the second scenario:
Substitute the values into the formula:
\[ 32 \times 10 \times 6 = M_2 \times 12 \times 10 \]Simplify the equation:
\[ 1920 = M_2 \times 120 \]Solve for \(M_2\):
\[ M_2 = \frac{1920}{120} \]\[ M_2 = 16 \]B) 16. To finish the work in 12 days by working 10 hours per day, 16 men are needed.
To determine the value of A such that the number 234A is divisible by 9, we use the divisibility rule for 9. This rule states that a number is divisible by 9 if the sum of its digits is divisible by 9.
D) 9 — When \( A = 9 \), the sum of the digits is \( 2 + 3 + 4 + 9 = 18 \). Since 18 is divisible by 9, the number 2349 is divisible by 9. This is the smallest natural number A that fits the condition.
To find the profit percentage, we need to determine the Cost Price (CP), Marked Price (MP), and Selling Price (SP). We can assume a base Cost Price for simplicity and then calculate the Marked Price by adding 50% and the Selling Price by applying a 20% discount on the Marked Price. Finally, the profit percentage can be calculated using the formula: \[\text{Profit Percentage} = \left( \frac{\text{SP} - \text{CP}}{\text{CP}} \right) \times 100\%\].
Assume a Cost Price (CP):
Let the Cost Price (CP) of the article be Rs. 100.
Calculate the Marked Price (MP):
The trader marked the price 50% higher than the CP.
Increase in price = 50% of CP = \(0.50 \times 100 = 50\)
Marked Price (MP) = CP + Increase in price = \(100 + 50 = 150\)
So, MP = Rs. 150.
Calculate the Selling Price (SP):
A 20% discount is given on the Marked Price.
Discount amount = 20% of MP = \(0.20 \times 150 = 30\)
Selling Price (SP) = MP - Discount amount = \(150 - 30 = 120\)
So, SP = Rs. 120.
Calculate the Profit:
Profit = SP - CP = \(120 - 100 = 20\)
So, the profit is Rs. 20.
Calculate the Profit Percentage:
Profit Percentage = \[\left( \frac{\text{Profit}}{\text{CP}} \right) \times 100\%\]
Profit Percentage = \(\left( \frac{20}{100} \right) \times 100\% = 20\%\)
The merchant got a 20% profit.
D) 20% is the correct answer, as calculated above.
The question asks to identify the common similarity among Mango, Guava, Watermelon, and Orange. We need to evaluate each given option against these items to find the most accurate common characteristic.
A) These are all fruits. This is the most accurate and fundamental similarity among Mango, Guava, Watermelon, and Orange. All of them are botanically classified as fruits and are consumed as such.
The question asks for the minimum age requirement to become the Prime Minister of India. The Prime Minister is typically a member of either the Lok Sabha (House of the People) or the Rajya Sabha (Council of States). The age requirement for these houses determines the minimum age for the Prime Minister.
Correct Option: B) 25 Years
The question asks for the full form of the acronym SONAR. This is a common acronym in physics and technology, particularly related to underwater applications. Recalling the full form is key to answering this question.
C) Sound Navigation and Ranging is the correct full form of SONAR. This technology uses sound waves to detect and locate objects underwater, which involves both navigation (guiding a vessel) and ranging (determining the distance to an object).
Which of the following gases is not an inert gas?
The question asks to identify which of the given gases is NOT an inert gas. Inert gases are also known as noble gases. We need to recall the elements that belong to the noble gas group in the periodic table and identify the one that does not fit this category.
Correct Option: D) Hydrogen is not an inert gas. It is a highly reactive element, forming diatomic molecules (\(H_2\)) and participating in various chemical reactions.
The question asks to identify the statement that the provided passage supports the most. We need to read the passage carefully and understand its main theme and the emphasis it places on certain aspects.
C) Rainwater harvesting is the need of the hour. This statement perfectly encapsulates the central message of the passage, which highlights the critical importance and numerous benefits of rainwater harvesting in the face of changing seasonal patterns and water management challenges.