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The questions your board exam loves to ask

800 most-asked Class 11 & 12 (+1 / +2) questions across Physics, Chemistry, Maths and Biology — each with a model answer and the exact marking-scheme points examiners reward. Revise smart, walk in calm.

800 board questions•Model answers•Marking-scheme points•Every chapter•CBSE · ISC · State boards

311 questions · clear filters

MathsClass 113 marksmedium

Statistics

The mean of a data set is 6 and its standard deviation is 2 sqrt2. Find the coefficient of variation.

Reveal model answer + marking points▾

Coefficient of variation (CV) = (standard deviation/mean) x 100. Here SD = 2 sqrt2 which is approximately 2.83, and mean = 6. CV = (2.83/6) x 100, which is approximately 47.1 percent. A higher CV indicates greater relative variability.

CV = (SD/mean) x 100

Marking-scheme points

  • ✓CV = (SD/mean) x 100
  • ✓SD = 2 sqrt2 = 2.83, mean = 6
  • ✓CV = (2.83/6) x 100 = about 47.1 percent
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MathsClass 113 marksmedium

Probability

Two fair dice are thrown together. Find the probability that the sum of the numbers on them is 8.

Reveal model answer + marking points▾

When two dice are thrown, the total number of outcomes = 6 x 6 = 36. The outcomes giving a sum of 8 are (2,6), (3,5), (4,4), (5,3) and (6,2), which is 5 favourable outcomes. Probability = 5/36.

P(E) = favourable outcomes / total outcomes

Marking-scheme points

  • ✓Total outcomes = 36
  • ✓Sum 8: (2,6),(3,5),(4,4),(5,3),(6,2) = 5 outcomes
  • ✓P = 5/36
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MathsClass 113 marksmedium

Probability

One card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that it is a king or a heart.

Reveal model answer + marking points▾

Let A = the card is a king and B = the card is a heart. P(A) = 4/52, P(B) = 13/52, and P(A and B) = 1/52 (the king of hearts). By the addition theorem P(A or B) = P(A) + P(B) - P(A and B) = 4/52 + 13/52 - 1/52 = 16/52 = 4/13.

P(A or B) = P(A) + P(B) - P(A and B)

Marking-scheme points

  • ✓P(king) = 4/52, P(heart) = 13/52
  • ✓P(king and heart) = 1/52
  • ✓P(king or heart) = 16/52 = 4/13
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