Question

If A owns a Blue Sierra, then E’s car can be a

• A. Red Maruti
• B. White Maruti
• C. Black Audi
• D. Red Audi
• A. Red Maruti
• B. Blue Maruti
• C. Green Audi
• D. Black Sierra
• A. Black Audi
• B. Blue Sierra
• C. Black Sierra
• D. Red Audi

Answer 1

The Correct Option is D

We are told that: - A owns a Blue Sierra.
- There are 5 people (A–E) with 5 different car brands (Maruti, Mercedes, Sierra, Fiat, Audi) and 5 different colors (Black, Green, Blue, White, Red).
- No two cars have the same brand or color.
Also, from the conditions:
- (i) A's car is not Black and not Mercedes → OK (A’s car is Blue Sierra – valid)
- (ii) B’s car is Green and not Sierra
- (iii) E’s car is not White and not Audi
- (iv) C’s car is Mercedes and not Blue
- (v) D’s car is not Red and is a Fiat
Let’s deduce E’s car under A’s assumption (A owns Blue Sierra):
- Blue and Sierra are used by A. So E's car cannot be Blue or Sierra.
- From (iii), E’s car is not White and not Audi.
- So, E’s color ≠ Blue, White and brand ≠ Audi
- Also, from the overall uniqueness rule, E’s car ≠ Blue (used), ≠ White (given), ≠ color of D or B or C (deduced from other conditions)
- Among the options, (D) Red Audi is the only one matching unused color (Red) and brand (Audi)
But wait — (iii) says E’s car is not Audi. So Red Audi is invalid for E.
Let’s test options: - (A) Red Maruti: Audi not used, Red ok for E, brand Maruti unused? Possible
- (B) White Maruti: E’s car not White → Invalid
- (C) Black Audi: E’s car not Audi → Invalid
- (D) Red Audi: E’s car not Audi → Invalid
Wait — now A owns Blue Sierra, E cannot have Audi or White → eliminates (B), (C), (D) Only (A) left: Red Maruti, which is a possible configuration. Hence, Correct Answer is: \(\boxed{\text{A}}\)

Answer 2

Let’s assume: A owns a White Audi.
That means:
- A’s color is White
- A’s brand is Audi
From the clue (iii):
E’s car is not White and not Audi → White and Audi both used by A, so OK.
So, E cannot get Audi or White.
Let’s test each option:
(A) Red Maruti: Maruti not used, Red not used → Possible
(B) Blue Maruti: Blue and Maruti unused → Possible
(C) Green Audi: Audi already with A → Invalid
(D) Black Sierra: Both Black and Sierra unused → Valid
We now test with other constraints:
From (v): D’s car is not Red and is a Fiat. So Fiat is used by D.
From (iv): C’s car is Mercedes and not Blue.
If E owns Black Sierra — allowed.
Nothing violates any clue. Other options such as (A) or (B) are possible, but (D) satisfies all and is most restrictive.
Hence, most defensible and constraint-satisfying answer is \(\boxed{\text{D}}\)

Answer 3

Given: - A owns Red Maruti → A’s color is Red, brand Maruti
- D’s car is White (no brand mentioned)
- E’s car is to be determined
Constraints from question:
- E’s car is not White and not Audi (iii)
- So eliminate any option where E’s car is White or Audi
Check each option: (A) Black Audi: Audi not allowed for E → Invalid
(B) Blue Sierra: Blue and Sierra are unused → Valid
(C) Black Sierra: Sierra allowed, Black unused, still valid
(D) Red Audi: Audi not allowed for E → Invalid
Now check further:
- A has Red Maruti → Red and Maruti used
- D has White (unknown brand) → White used
- E cannot get Audi or White
- From (iv): C has Mercedes and not Blue
- From (v): D has Fiat and not Red — D has White car, OK
If C gets Mercedes and not Blue → Can't take Blue, but Sierra is still available E can safely take Blue Sierra
Hence, safest valid choice is: \(\boxed{\text{B}}\)