CAT 2025 Slot 1 Answer Key DILR: Download Question Paper with Answer Key PDF

A, B, C, D, E, and F are seated around a circular table facing the center.
B sits third to the left of A.
Only one person sits between C and D.
E is not a neighbor of A or C.
F sits immediately to the right of D.
How many distinct seating arrangements satisfy all conditions?

A store sells four products — P, Q, R, and S — across four days (Mon–Thu), exactly one product per day.
P is not sold on Monday or Wednesday.
R is sold before Q.
S is not sold on Thursday.
Exactly one of P or Q is sold on Tuesday.
How many valid schedules are possible?

A group of 120 students attend at least one of three workshops: Data, Logic, and Verbal.
48 attend Data, 60 attend Logic, 50 attend Verbal.
20 attend both Data \& Logic, 15 attend both Logic \& Verbal, 12 attend both Data \& Verbal, and 8 attend all three.
How many students attend exactly one workshop?

Four machines A, B, C, D produce items in a ratio.
A produces 40 more than B.
C produces 20% more than A.
D produces half of B.
If total production is 860 items,
how many items did Machine C produce?

Six people — P, Q, R, S, T, U — stand in a line.
P is somewhere ahead of Q.
Exactly two people stand between Q and R.
S is not adjacent to P or R.
T is not in the first or last position.
How many distinct valid arrangements are possible?

A delivery network allows routes from Start (S) to End (E) through intermediate hubs A, B, C.
Allowed edges:
S→A, S→B, A→C, A→E, B→C, C→E.
A route cannot visit more than 3 nodes including S and E.
How many valid routes from S to E are possible?

Four players — W, X, Y, Z — play a round-robin tournament (each plays each once).
A win gives 2 points, loss 0.
W scores more points than X.
Y wins exactly one match.
Z does not lose to X.
How many distinct possible point-tables exist for the four players?