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A tehsil supply officer observes that the share of households in the tehsil holding a ration card has fallen from 62 in every hundred to 51 in every hundred over ten years, and concludes that fewer households in the tehsil now depend on the ration shop. Which of the following, if true, most weakens the officer's conclusion?

Competition practiceLogical / Critical
  • ARation cards are now issued at the tehsil office instead of at the block office
  • BThe tehsil's ration shops open on five days of the week
  • CThe number of households in the tehsil has risen by half over the ten years
  • DThe ration card issued today carries a photograph, which the older card did not

Step-by-Step Solution

Take a hundred households at the start: 62 held cards. Ten years later there are a hundred and fifty households, of which 51 in every hundred, or about 76, hold cards. The share has fallen while the number of card-holding households has risen by a fifth, and the officer's conclusion is turned round. Where cards are issued, the shops' opening days and the photograph on the card alter neither the share nor the count.
Answer: C) The number of households in the tehsil has risen by half over the ten years

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