Seven cars P, Q, R, S, T, U and V are parked in a row not necessarily in that order. The cars T and U should be parked next to each other. The cars S and V also should be parked next to each other, whereas P and Q cannot be parked next to each other. Q and S must be parked next to each other. R is parked to the immediate right of V. T is parked to the left of U. Based on the above statements, the only INCORRECT option given below is:
Options:
(A) There are two cars parked in between Q and V.
(B) Q and R are not parked together.
(C) V is the only car parked in between S and R.
(D) Car P is parked at the extreme end.
Official Answer Key:
A
Step-by-Step Solution & Explanation
Since Q–S are adjacent and S–V are adjacent, S sits between Q and V; and since R is immediately right of V, the fixed sub-block is Q-S-V-R (only one car, S, lies between Q and V — so C is true and A, which claims two cars lie between Q and V, is impossible). With T immediately left of U forming block T-U, and P a single unit, one valid full arrangement satisfying every remaining constraint (P not adjacent to Q) is T U Q S V R P: here Q and R (positions 3 and 6) are not adjacent (B holds), V lies strictly between S and R (C holds), and P sits at the extreme right end (D holds). Only statement (A) — "two cars between Q and V" — is always false, since exactly one car (S) separates them. Hence (A) is the only incorrect statement.
Section 1 — Engineering Mathematics
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