Question Discussion & Solution

The correct answer is Ethanol + Methanol​.

• Ethanol + Methanol​ is denatured alcohol.
• Denatured alcohol is ethanol that has additives to make it poisonous, bad-tasting, foul-smelling, or nauseating to discourage its recreational consumption.
• The term denatured alcohol refers to alcohol products adulterated with toxic and/or bad tasting additives (e.g., methanol, benzene, pyridine, castor oil, gasoline, isopropyl alcohol, and acetone), making it unsuitable for human consumption.
• The most common additive used is methanol (5–10%), giving rise to the term methylated spirits. Denatured alcohol is used as a lower-cost solvent or fuel for home-scale or industrial use.

Key Points

• Denatured alcohol is ethanol or grain alcohol that contains additional chemicals called denaturants that make it unfit for human consumption.
• Denatured alcohol is fine for some types of lab work and as an ingredient in certain products, but it's not safe to drink.
• Ethanol is an organic chemical compound. It is simple alcohol with the chemical formula C₂H₆O.
• Its formula can be also written as CH₃−CH₂−OH or C₂H₅OH and is often abbreviated as EtOH.

Additional Information

• Alcohol (ethanol or ethyl alcohol) is the ingredient found in beer, wine, and spirits that causes drunkenness.
• Alcohol is formed when yeast ferments (breaks down without oxygen) the sugars in different food. 

The least possible Venn diagram is,

Conclusion 1: All apples are bananas → True (This is definitely true)

Conclusion 2: Some bananas are mangoes → True (This is definitely true)

Hence, both 1 and 2 follow.

The correct answer is Jai Narayan Vyas University.

• Jai Narayan Vyas University was named after the third Chief Minister of Rajasthan.

Key Points

• Jai Narayan Vyas was the 3^rd Chief Minister of Rajasthan.
• His tenure was from April 1951 – 3 March 1952.
• He was associated with Indian National Congress.
• Jai Narayan Vyas University is located in Jodhpur.
• It was earlier known as the University of Jodhpur.
• It was established in 1962.

Additional Information

• About Rajasthan (as of Nov 2021)
  • CM: Ashok Gehlot
  • Governor: Kalraj Mishra
  • State flower: Rohira (Tecomella undulata)
  • State Animal: Chinkara
  • National Parks and Wildlife Sanctuaries: Ranthambore National Park, Sariska Tiger Reserve (Native wildlife & tiger sanctuary), Desert National Park, Mount Abu WS.
  • Highest Peak: Guru Sikhar (1732 mt)
  • Important river: Chambal and Luni (Inland river)
  • UNESCO site: Chittorgarh Fort, Kumbhalgarh, Ranthambore Fort, Amber Fort.

The Logic here is as follows:

(1^st Number × 2^nd number) × 4 = 3^rd Number

In (6, 8, 192)

(1^st Number × 2^nd number) × 4

= (6 × 8) × 4

= 48 × 4

= 192 = 3^rd Number

Now check the all options,

Option (1) (12, 13, 263)

(1^st Number × 2^nd number) × 4

= (12 × 13) × 4

= 156 × 4

= 624 ≠ 3^rd Number

Option (2) (8, 11, 180)

(1^st Number × 2^nd number) × 4

= (8 × 11) × 4

= 88 × 4

= 352 ≠ 3^rd Number

Option (3) (11, 9, 396)

(1^st Number × 2^nd number) × 4

= (11× 9) × 4

= 99 × 4

= 396 = 3^rd Number

Option (4) (7, 5, 78)

(1^st Number × 2^nd number) × 4

= (7 × 5) × 4

= 35 × 4

= 140 ≠ 3^rd Number

Hence, the correct answer is "(11, 9, 396)".

The correct answer is Al2O3.

Key Points

•  Al2O3  reacts with acids and bases.
  • Aluminum oxide (Al2O3) is an amphoteric substance.
  • The amphoteric substance is a substance that can react with both acids and bases usually to produce salt and water.
  • Aluminium oxide therefore can react with both acids as well as bases. We will take the example of its reaction with hydrochloric acid (strong acid) and sodium hydroxide (strong base).
  • When mixed with these two compounds aluminium oxide either acts like  acid with a base and a base with an acid.

Additional Information

• Al₂O₃ + 6 HCl → 2 AlCl₃ + 3 H₂O (acts like a base)
• Al2O3 + 2 NaOH + 3 H₂O → 2 NaAl(OH)₄ (sodium aluminate) (acts like an acid)
• On reacting Al2O3 with HCl, we get Aluminium Chloride as the salt and water as a by-product.
  • Likewise, the reaction between NaOH ( Strong Base) and Al₂O₃ results in the formation of Sodium Aluminate as salt and water.