Reasoning : Logical Reasoning & Analytical Ability

Q 294 / 325

UPSC CSE Prelims 2012

Consider the-following statement:

  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?

EXPLANATION

Correct Option (B)

Statement 1 establishes that all X-brand cars parked at the location are white. Statement 2 specifies that some of these parked X-brand cars possess radial tyres. Combining these two statements directly leads to the conclusion that some X-brand cars parked here are both white and equipped with radial tyres. Therefore, option (B) accurately synthesizes the information provided.

Incorrect Options:

Option (A): This conclusion is not supported by the statements. Statement 1 indicates that all X-brand cars parked here are white, but it does not preclude the presence of non-X-brand cars, which could be of any colour, or even other white cars that are not X-brand. The statement only defines the colour of parked X-brand cars, not all parked cars.

Option (C): The given statements provide information about X-brand cars and their tyres, but they offer no data regarding cars of other brands. Therefore, no conclusion can be drawn about whether non-X-brand cars can or cannot have radial tyres. This option makes an unsubstantiated claim.

Option (D): Statement 3 indicates that all X-brand cars manufactured after 1986 have radial tyres. Statement 2 states that some X-brand cars parked here have radial tyres. While some X-brand cars have radial tyres, this does not provide sufficient information to determine the manufacturing year distribution of the majority of X-brand cars. We cannot infer that most X-brand cars were manufactured before 1986 from the given premises.