UPSC Prelims 2012·CSAT·Logical Reasoning·Deductive Logic

Consider the following statements: 1) All X-brand cars parked here are white. 2) Some of them have radial tyres. 3) All X-brand cars manufactured after 1986 have radial tyres. 4) All cars are not X-brand. Which one of the following conclusions can be drawn from the above statements?

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  1. AOnly white cars are parked here
  2. BSome white X-brand cars with radial tyres are parked hereCorrect
  3. CCars other than X-brand cannot have radial tyres
  4. DMost of the X-brand cars are manufactured before 1986.

Explanation

To arrive at the correct conclusion, we analyze the statements logically: Statement 1 tells us that every X-brand car in the parking lot is white. Statement 2 tells us that some of those X-brand cars in the parking lot have radial tyres. When we combine these two facts, it logically follows that there must be at least some white X-brand cars with radial tyres parked there. This directly supports option B. The other options are incorrect because: A is wrong because statement 4 says there are cars other than X-brand present, and we do not know their color. C is wrong because the statements do not provide information about the tyre types of non X-brand cars. D is wrong because we do not have enough data to determine the total quantity or proportion of cars manufactured before or after 1986.
Logical Reasoning: Consider the following statements: 1) All X-brand cars parked here are white. 2) Some of them have radial tyres. 3) All

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