The question asks to identify the software application where a cell with a dark boundary is referred to as an "active cell". This term is specific to spreadsheet applications where data is organized in rows and columns.
Correct Option: A) MS Excel is a spreadsheet program where data is entered into individual cells. When a cell is selected, it is highlighted with a dark boundary, indicating that it is the "active cell" and ready for input or modification. This is a core concept in spreadsheet software.
The question asks to identify the sector to which ONGC belongs. This requires knowledge about the primary business operations of ONGC.
Correct Option: A) Energy — ONGC (Oil and Natural Gas Corporation) is India's largest crude oil and natural gas company. Its core business involves the exploration, development, and production of these vital energy resources. Therefore, it clearly belongs to the energy sector.
We need to find the number of students who like only computer. We are given the total number of students and the number of students who like specific combinations of subjects. We can use the principle of inclusion-exclusion or a Venn diagram approach to solve this problem by systematically calculating the number of students in each category and then subtracting them from the total.
The number of students who like Maths or English or both is the sum of those who like only Maths, only English, and both Maths and English.
\[ \text{Students (Maths or English or both)} = \text{Only Maths} + \text{Only English} + \text{Both Maths and English} \]\[ = 20 + 25 + 15 = 60 \]We are given that 8 students like Computer. Since no student likes computer with just one of the other two subjects, the 8 students who like computer must either like only computer or like all three subjects.
\[ \text{Students (Computer)} = \text{Only Computer} + \text{All three subjects} \]We know that 3 students like all three subjects. So, from the 8 students who like Computer, 3 of them also like Maths and English.
\[ \text{Only Computer} = \text{Students (Computer)} - \text{All three subjects} \]\[ = 8 - 3 = 5 \]Let's sum up all distinct groups of students we have identified:
Total students accounted for:
\[ 20 + 25 + 12 + 5 + 3 = 65 \]This matches the total number of students given in the problem, confirming our calculations.
A) 5 — As calculated in step 4, the number of students who like only computer is 5.
The question asks to identify the fluid responsible for two key functions: carrying absorbed fat from the intestine and draining excess fluid from the extracellular space back into the blood. We need to evaluate each option based on its known physiological role.
B) Lymph is the fluid that carries absorbed fat from the intestine (via lacteals) and drains excess fluid from the extracellular space back into the blood, fulfilling both functions described in the question.
The question asks for the starting year of the Non-Cooperation Movement and the Khilafat Movement. These two movements were closely intertwined in Indian history, particularly in the early 20th century. Recalling the timeline of major nationalist movements in British India is key to answering this question.
Correct Option: A) The Non-Cooperation and Khilafat Movements began in 1920. The Khilafat Movement started slightly earlier but was integrated into the Non-Cooperation Movement, which was formally launched by Gandhi in August 1920.
The question asks to identify the state with the highest literacy value according to the Human Development Index (HDI) report for 2011. This requires knowledge of general statistics and rankings related to human development indicators in India, particularly literacy rates among states.
C) Kerala — Kerala has consistently recorded the highest literacy rates among Indian states. According to the 2011 Census of India, Kerala had a literacy rate of 94.0%, which was the highest in the country. This high literacy rate directly contributes to its strong performance in the knowledge component of the Human Development Index.
The question asks for the average temperature of the surface water of the oceans. This is a factual question related to oceanography and general geography. We need to recall the globally accepted average value for ocean surface temperature.
D) 17 degrees Celsius — This is the widely accepted average temperature for the surface water of the world's oceans. This value represents a global average, taking into account the wide range of temperatures from the equator to the poles.
Solve the following:
(625)0.17 × (625)0.08 = ?
This problem involves the laws of exponents. Specifically, we will use the rule \(a^m \times a^n = a^{m+n}\) and then simplify the base number to a power of 5.
Identify the given expression:
\( (625)^{0.17} \times (625)^{0.08} \)
Apply the exponent rule \(a^m \times a^n = a^{m+n}\). Here, \(a = 625\), \(m = 0.17\), and \(n = 0.08\).
\[ (625)^{0.17} \times (625)^{0.08} = (625)^{0.17 + 0.08} \]
Add the exponents:
\[ 0.17 + 0.08 = 0.25 \]
Substitute the sum back into the expression:
\[ (625)^{0.25} \]
Convert the decimal exponent to a fraction:
\[ 0.25 = \frac{25}{100} = \frac{1}{4} \]
Rewrite the expression with the fractional exponent:
\[ (625)^{\frac{1}{4}} \]
Recognize that \(625\) can be expressed as a power of 5. We know that \(5^2 = 25\), \(5^3 = 125\), and \(5^4 = 625\).
\[ 625 = 5^4 \]
Substitute \(5^4\) for \(625\) in the expression:
\[ (5^4)^{\frac{1}{4}} \]
Apply the exponent rule \((a^m)^n = a^{m \times n}\):
\[ (5^4)^{\frac{1}{4}} = 5^{4 \times \frac{1}{4}} \]
Multiply the exponents:
\[ 4 \times \frac{1}{4} = 1 \]
The final result is:
\[ 5^1 = 5 \]
C) 5 — By applying the laws of exponents and simplifying the base, the expression evaluates to 5.
The question asks to identify one of the founders of Google from the given options. This is a factual recall question related to prominent figures in the technology industry.
Google was founded by Larry Page and Sergey Brin while they were Ph.D. students at Stanford University in 1998.
B) Larry Page is one of the co-founders of Google, along with Sergey Brin. They founded the company in September 1998.
To find the median of the percentage marks, we first need to list all the marks obtained by the students. The problem states that 40% is the passing criteria, and 4 students failed. This implies that the 4 failed students scored less than 40%. The marks of the remaining 5 students are given. Once all 9 marks are known, we arrange them in ascending order and find the middle value.
Therefore, the median of the percentage marks is 52%.
B) 52% is the correct answer because when all 9 marks are arranged in ascending order, the 5th value (the median for 9 observations) is 52%.