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. two — 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…
- A.
one
- B.
two
- C.
three
- 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:
City A: 14.4 × 1/(1 + 3 + 2) = 14.4 × 1/6 = 2.4 lakh.
City B: 16 × 2/(2 + 3 + 3) = 16 × 2/8 = 4 lakh.
City C: 19.2 × 1/(1 + 1 + 2) = 19.2 × 1/4 = 4.8 lakh.
City D: 12.8 × 3/(3 + 1 + 4) = 12.8 × 3/8 = 4.8 lakh.
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.