Study the given pattern carefully and select the number from the given options that can replace the question mark (?).
| 3 | 6 | 2 | 15 | 2 | 20 | 3 | 12 | |||
| 5 | 2 | 19 | 6 | 23 | 5 | ? | 4 |
A can lay railway tracks between two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Considering this, C alone can do the job in:
\( \frac{5}{48} \) days
\( \frac{16}{5} \) days
48 days
\( \frac{48}{5} \) days
This problem involves work and time. We can solve it by calculating the individual work rates of A, B, and C, and then using the combined work rate to find the time C takes alone.
Correct Option: D) \( \frac{48}{5} \) days
The question asks to identify the state where five Deputy Chief Ministers were appointed in 2019. This is a factual question related to Indian political appointments and requires knowledge of specific events in that year.
Correct Option: B) Andhra Pradesh is the correct answer. In 2019, the YSR Congress Party government in Andhra Pradesh, under Chief Minister Y.S. Jagan Mohan Reddy, appointed five Deputy Chief Ministers. This was done to represent various communities and regions within the state, making it a unique political decision.
The question asks for the state where the Konark Temple is located. This is a factual question related to Indian geography and cultural heritage. To answer correctly, one needs to recall the geographical location of this famous temple.
Correct Option: B) Odisha
The Konark Sun Temple is a UNESCO World Heritage Site located in Konark, a small town in the Puri district of Odisha, India. It is renowned for its exquisite architecture and intricate stone carvings, designed as a colossal chariot for the Sun God, Surya.
This is a logical deduction problem. We need to use the given statements to deduce the authors' languages and genres. We will create a table or list out the possibilities and eliminate them based on the statements to arrive at the correct conclusion.
Identify the entities: Authors (A, B, C), Languages (Hindi, English, Punjabi), Genres (Novelist, Essayist, Poet).
List initial possibilities: Each author writes in one language and one genre. There are three authors, three languages, and three genres. Each is unique.
Analyze Statement 1: "C does not write in English."
This means C writes either in Hindi or Punjabi.
Analyze Statement 2: "The book of essays is in Punjabi."
This links the genre 'Essayist' with the language 'Punjabi'. So, the Punjabi author is an essayist.
Analyze Statement 3: "The book of poems in English has won an award."
This links the genre 'Poet' with the language 'English'. So, the English author is a poet.
Combine deductions from Statements 1, 2, and 3:
From (2), the Punjabi author is an essayist.
From (3), the English author is a poet.
This leaves Hindi as the only remaining language and Novelist as the only remaining genre. Therefore, the Hindi author is a novelist.
Determine C's language and genre:
From (1), C does not write in English. So C is not the English poet.
If C writes in Punjabi, C would be the essayist. If C writes in Hindi, C would be the novelist.
Analyze Statement 4: "A is a novelist."
From step 6, the novelist writes in Hindi. So, A writes in Hindi and is a novelist.
Determine C's language and genre using A's information:
Since A is the Hindi novelist, C cannot be the Hindi novelist. We already know C does not write in English. Therefore, C must write in Punjabi and be the essayist (from step 6).
Determine B's language and genre:
A is the Hindi novelist.
C is the Punjabi essayist.
This leaves B as the remaining author. B must write in English and be the poet (from step 6).
Verify with Statement 5: "B is not an essayist."
Our deduction is that B is a poet, which is consistent with B not being an essayist.
Final assignments:
A: Novelist, Hindi
B: Poet, English
C: Essayist, Punjabi
C) B writes poems in English.
Based on our deductions in step 10, B is the poet who writes in English. This statement is consistent with our findings.
The question asks to identify the first ruler in Indian history who used stone surfaces to inscribe messages for his subjects and officials. This points to a specific period and a well-known historical figure associated with widespread rock and pillar edicts.
Ashoka, the third ruler of the Mauryan Empire (c. 268 to 232 BCE), is renowned for being the first Indian ruler to communicate directly with his subjects and officials through inscriptions on stone surfaces. These inscriptions, known as Ashokan Edicts, were carved on rocks and polished stone pillars erected throughout his vast empire. They conveyed his policies, moral principles (Dhamma), and administrative instructions. His use of stone inscriptions was a pioneering method of public communication in ancient India.
If y=26, then what is the value of y\(\sqrt{y^3-y^2}\)?
To find the value of the given expression, we need to substitute the value of \(y\) into the expression and then simplify it step-by-step. The expression involves powers and a square root, so careful calculation is required.
Given \(y = 26\), and the expression is \(y\sqrt{y^3-y^2}\).
Substitute \(y=26\) into the expression:
\[ 26\sqrt{26^3 - 26^2} \]The term inside the square root is \(26^3 - 26^2\). We can factor out \(26^2\):
\[ 26^3 - 26^2 = 26^2(26 - 1) \]\[ = 26^2(25) \]Now substitute this back into the expression:
\[ 26\sqrt{26^2(25)} \]\[ = 26 \times \sqrt{26^2} \times \sqrt{25} \]\[ = 26 \times 26 \times 5 \]First, calculate \(26 \times 26\):
\[ 26 \times 26 = 676 \]Now, multiply this result by 5:
\[ 676 \times 5 = 3380 \]B) 3380 is the correct value of the expression when \(y=26\).
The question asks to identify which of the given options is NOT one of the principal organs of the United Nations. To answer this, one must recall the six main organs of the UN as established by its Charter.
Correct Option: D) The Human Rights Council is NOT an organ of the UN. It is a subsidiary body of the General Assembly.
To find the cost price (CP) when the selling price (SP) and profit percentage are given, we can use the formula relating these three quantities. The selling price is the cost price plus the profit. If the profit is expressed as a percentage of the cost price, we can set up an equation to solve for the cost price.
The selling price is the cost price plus the profit. Profit is calculated as a percentage of the cost price.
\[ \text{SP} = \text{CP} + \text{Profit} \]\[ \text{Profit} = \text{Profit Percentage} \times \text{CP} \]Here, the profit percentage is 30%, which can be written as 0.30 in decimal form.
\[ 2600 = \text{CP} (1 + 0.30) \]\[ 2600 = \text{CP} (1.30) \]To find the cost price, divide the selling price by 1.30.
\[ \text{CP} = \frac{2600}{1.30} \]\[ \text{CP} = \frac{260000}{130} \]\[ \text{CP} = \frac{26000}{13} \]\[ \text{CP} = 2000 \]So, the cost price of the dress is ₹2,000.
B) ₹2,000 — This is the correct cost price calculated using the given selling price and profit percentage.
To solve this problem, we will first calculate the individual work rates of A and B. Then, since they work on alternate days, we will calculate the total work done in a 2-day cycle. Finally, we will determine how many such cycles are needed to complete the majority of the work and then account for the remaining work.
Calculate individual work rates:
A can complete the work in 15 days. So, A's 1-day work is:
\[ \text{A's 1-day work} = \frac{1}{15} \text{ of the total work} \]B can complete the work in 30 days. So, B's 1-day work is:
\[ \text{B's 1-day work} = \frac{1}{30} \text{ of the total work} \]Calculate work done in a 2-day cycle:
They work on alternate days, starting with A.
Work done in 2 days (1 cycle) = A's 1-day work + B's 1-day work
\[ \text{Work in 2 days} = \frac{1}{15} + \frac{1}{30} = \frac{2}{30} + \frac{1}{30} = \frac{3}{30} = \frac{1}{10} \text{ of the total work} \]Determine the number of cycles to complete the work:
In 2 days, \(\frac{1}{10}\) of the work is completed. To complete the entire work (which is 1 unit), we need 10 such cycles.
Total work = 1
Number of cycles = \[\frac{1}{\frac{1}{10}} = 10\] cycles
Calculate total days:
Each cycle takes 2 days. So, 10 cycles will take:
\[ \text{Total days} = 10 \text{ cycles} \times 2 \text{ days/cycle} = 20 \text{ days} \]C) 20 days. The calculation shows that 10 cycles of 2 days each are needed to complete the work, resulting in a total of 20 days.