Eligibility
Question : DE is tangent to the circumcircle of $\triangle$ABC at the vertex A such that $DE \parallel BC$. If AB = 17 cm, then the length of AC is equal to:
Option 1: 16 cm
Option 2: 16.8 cm
Option 3: 17.3 cm
Option 4: 17 cm
Correct Answer: 17 cm
Solution : Given: DE || BC and AB = 17 cm. From the alternate segment theorem, we get $\angle$DAB = $\angle$ACB Also, $\angle$DAB = $\angle$ABC (Alternate angle) So, $\angle$ACB = $\angle$ABC ⇒ AB = AC = 17 cm Hence, the correct answer is 17 cm.
Question : Identify the aspect of social environment highlighted here. Equal wages opportunities are given to the women.
Option 1: Values
Option 2: Tradition
Option 3: Trend
Option 4: All of the above.
Correct Answer: Tradition
Solution : Values refers to a society holds in the higher esteem which individuals freedom, social justice, equality of opportunity, and national integration are some examples of values. Hence Option B is correct.
Question :
Option 1: Both are true
Option 2: Both are false
Option 3: Statement 1 is true and statement 2 is false.
Option 4: Statement 2 is true and statement 1 is false.
Correct Answer: Both are true
Solution : There is no indirect tax on khadi items. Direct taxes do not reach all the sections of the economy. All those people who do not have a minimum income or excluded from tax slabs. Hence option A is correct.
Question : Which mineral is also known as "fool's gold"?
Option 1: Fluorite
Option 2: Pyrite
Option 3: Magnetite
Option 4: Quartz
Correct Answer: Pyrite
Solution : The correct answer is Pyrite
"Fool's gold" is another name for the pyrite mineral. It gets its name from the fact that it is frequently mistaken for gold due to its shiny sheen, high specific gravity, and gold hue. FeS2 is its chemical formula.
Question : When milk is converted into curd, which type of change is it?
Option 1: Reversible change
Option 2: Physical change
Option 3: Isothermal change
Option 4: Chemical change
Correct Answer: Chemical change
Solution : The correct option is Chemical change.
When milk is converted into curd, it is a chemical change. This transformation involves the fermentation of milk by beneficial bacteria, such as Lactobacillus, which consume the lactose (milk sugar) and produce lactic acid. The production of
Question : Growth with stability and progressive achievement of self-reliance was the objective of the __________ Five-Year Plan.
Option 1: Fifth
Option 2: Third
Option 3: Fourth
Option 4: Second
Correct Answer: Fourth
Solution : The correct option is Fourth.
The Fourth Five-Year Plan (1969–1974) of India emphasised balanced economic growth, industrial development, self-reliance, and social welfare. Despite challenges like the Indo-Pak War of 1971, it succeeded in areas like agriculture, power generation, and industry. This plan laid the foundation
Question : Case Study 15: Promoting Innovation
A group of engineers established a startup that designs and manufactures solar-powered water purifiers. They applied for government assistance under an innovation promotion scheme. Question:
How does the solar-powered water purifier contribute to innovation?
Option 1: By increasing the use of traditional water purifiers
Option 2: By reducing access to clean water
Option 3: By introducing a new and eco-friendly product
Option 4: By relying on non-renewable energy sources
Correct Answer: By introducing a new and eco-friendly product
Solution : The correct answer is (c) By introducing a new and eco-friendly product
The solar-powered water purifier represents innovation by introducing a new and eco-friendly product that utilizes solar energy for water purification. Innovation, in this context, involves the development
Question : If $x-y=7$ and $xy=32$, then the value of $x^{2}+y^{2}$ is:
Option 1: 49
Option 2: 64
Option 3: 113
Option 4: 15
Correct Answer: 113
Solution : Given: $x-y=7$ and $xy=32$. We know that $(x-y)^{2}=x^{2}+y^{2}-2xy$. ⇒ $x^{2}+y^{2}=(x-y)^{2}+2xy$ By putting the value of $x-y=7$ and $xy=32$ in above expression, we get: ⇒ $x^{2}+y^{2}=7^{2}+2×32$ ⇒ $x^{2}+y^{2}=49+64$ ⇒ $x^{2}+y^{2}=113$ Hence, the correct answer is 113.
Question : The Hindu Mahasabha was founded as a response to Muslim fundamentalism in which year?
Option 1: 1917
Option 2: 1915
Option 3: 1925
Option 4: 1910
Correct Answer: 1915
Solution : The correct option is 1915.
The Hindu Mahasabha was founded in 1915. It was established as a response to various political and social issues of the time. The organisation aimed to promote the interests and rights of Hindus and to work towards what they saw
Question : Mail order selling,marketing and internet selling comes under which channel of distribution?
Option 1: Direct channel
Option 2: Indirect channel
Option 3: Both a and b
Option 4: None of the above
Correct Answer: Direct channel
Solution : Mail order selling,marketing and internet selling comes under direct channel of distribution.In the Direct channel manufacture sell hi product directly to consumers without using any intermediary.
Hence, option A is correct.
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