Number of people of age group I is more than 4 lakhs in exactly ________…

2024

Number of people of age group I is more than 4 lakhs in exactly ________ city/cities.

Answer: B. twoConcept When a total is divided in the ratio a : b : c, the amount in the first group is total × a/(a + b + c). To test a strict threshold, calculate the…

  1. A.

    one

  2. B.

    two

  3. C.

    three

  4. D.

    four

Show answer & explanation

Correct answer: B

Concept

When a total is divided in the ratio a : b : c, the amount in the first group is total × a/(a + b + c).

To test a strict threshold, calculate the first-group amount for every row and count only the values greater than the threshold; a value equal to it is excluded.

Application

Apply the ratio-share formula to each city:

  1. City A: 14.4 × 1/(1 + 3 + 2) = 14.4 × 1/6 = 2.4 lakh.

  2. City B: 16 × 2/(2 + 3 + 3) = 16 × 2/8 = 4 lakh.

  3. City C: 19.2 × 1/(1 + 1 + 2) = 19.2 × 1/4 = 4.8 lakh.

  4. City D: 12.8 × 3/(3 + 1 + 4) = 12.8 × 3/8 = 4.8 lakh.

  5. City E: 12 × 1/(1 + 3 + 1) = 12 × 1/5 = 2.4 lakh.

Cross-check

Cities C and D are above 4 lakh. City B is exactly 4 lakh, so it is not included; cities A and E are below 4 lakh.

Therefore, the threshold is exceeded in exactly two cities.

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