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Try a Indian Navy 10+2 B.Tech Cadet question

The potential developed between a metal rod and its solution due to oxidation is called:Read the answer and worked solution →Which of the following best describes the set of real numbers?Read the answer and worked solution →Harpreet tosses two different coins simultaneously. What is the probability of getting at least one head?Read the answer and worked solution →If $\alpha$ and $\beta$ are the zeroes of the quadratic polynomial $ax^2+bx+c$ with $a\neq 0$, then $\alpha+\beta$ equalsRead the answer and worked solution →

Worked practice questions

The potential developed between a metal rod and its solution due to oxidation is called:

  1. Reduction potential
  2. Oxidation potential
  3. Solubility potential
  4. Neutralization potential
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Correct answer: B. Oxidation potential

The notes define the potential developed between the rod and the solution in this case as oxidation potential, represented by $E(Zn/Zn^{2+})$.

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Which of the following best describes the set of real numbers?

  1. Only rational numbers
  2. Only irrational numbers
  3. All rational and irrational numbers together
  4. Only integers and whole numbers
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Correct answer: C. All rational and irrational numbers together

Real numbers include every rational number and every irrational number. **Therefore, the correct description is the union of rational and irrational numbers.**

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Harpreet tosses two different coins simultaneously. What is the probability of getting at least one head?

  1. $\frac{1}{4}$
  2. $\frac{1}{2}$
  3. $\frac{3}{4}$
  4. $1$
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Correct answer: C. $\frac{3}{4}$

The equally likely outcomes are $(H,H)$, $(H,T)$, $(T,H)$ and $(T,T)$. At least one head occurs in the first three outcomes, so there are 3 favourable outcomes out of 4. Thus the probability is $\frac{3}{4}$.

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