DI DS LR - Test 2

A 3×3 grid must place digits 1–9 so that each row increases left to right and each column increases top to bottom. Which digit must be in the center? A 3×3 grid must place digits 1–9 so that each row increases left to right and each column increases top to bottom. Which digit must be in the center?

2 Mark(s)

5 5
4 4
6 6
Cannot be determined Cannot be determined

Six parcels to two trucks A and B. Capacity 4 and 2. Parcel P1 must go on A; P2 cannot go with P3. Minimum number of parcels on A? Six parcels to two trucks A and B. Capacity 4 and 2. Parcel P1 must go on A; P2 cannot go with P3. Minimum number of parcels on A?

2 Mark(s)

Four workers A–D assigned to four stations W, X, Y, Z. A not at W; B at Y; C not at Z. Who must be at X? Four workers A–D assigned to four stations W, X, Y, Z. A not at W; B at Y; C not at Z. Who must be at X?

2 Mark(s)

A A
C C
D D
Cannot be determined Cannot be determined

Five letters A–E to be arranged with A not next to B; C before D. Which could be last? Five letters A–E to be arranged with A not next to B; C before D. Which could be last?

2 Mark(s)

Bus stops 1–6 visited in order by route. Constraints: Stop 2 cannot be visited immediately after 1; Stop 5 must be visited after 3; 6 is last. Which could be 2nd stop? Bus stops 1–6 visited in order by route. Constraints: Stop 2 cannot be visited immediately after 1; Stop 5 must be visited after 3; 6 is last. Which could be 2nd stop?

2 Mark(s)

Six commuters U, V, W, X, Y, Z board a 3-car train (Front, Middle, Rear) with capacities 2 each. U refuses Front; V must be with W; X must not be with Z. Which car must V be in? Six commuters U, V, W, X, Y, Z board a 3-car train (Front, Middle, Rear) with capacities 2 each. U refuses Front; V must be with W; X must not be with Z. Which car must V be in?

2 Mark(s)

Front Front
Middle Middle
Rear Rear
Either Middle or Rear Either Middle or Rear

In a logic grid, four pets (Cat, Dog, Fish, Bird) owned by A, B, C, D. A does not own Cat or Dog. B owns Bird. C does not own Fish. Who owns Dog? In a logic grid, four pets (Cat, Dog, Fish, Bird) owned by A, B, C, D. A does not own Cat or Dog. B owns Bird. C does not own Fish. Who owns Dog?

2 Mark(s)

Three roommates share chores Mon–Wed. Chores: Cook(Ck), Clean(Cl), Shop(S). Rules: No one repeats a chore; Cook on Wed must be the person who shopped on Mon; Cleaning cannot be on Wed. Who can cook on Wed? Three roommates share chores Mon–Wed. Chores: Cook(Ck), Clean(Cl), Shop(S). Rules: No one repeats a chore; Cook on Wed must be the person who shopped on Mon; Cleaning cannot be on Wed. Who can cook on Wed?

2 Mark(s)

Only the Monday shopper Only the Monday shopper
Only the Monday cleaner Only the Monday cleaner
Only the Monday cook Only the Monday cook
Anyone Anyone

A logic class forms a lineup of 6: A–F. A is immediately before C. D is somewhere after B. E is not adjacent to A. Which pair must be separated by at least one person? A logic class forms a lineup of 6: A–F. A is immediately before C. D is somewhere after B. E is not adjacent to A. Which pair must be separated by at least one person?

2 Mark(s)

A and C A and C
B and D B and D
C and D C and D
E and F E and F

Queue of four: P, Q, R, S. P ahead of Q; R not first; S not last; Q not adjacent to R. Who can be first? Queue of four: P, Q, R, S. P ahead of Q; R not first; S not last; Q not adjacent to R. Who can be first?

2 Mark(s)

Five files F1–F5 to be printed; printer can queue two at a time; F3 before F5; F2 not with F1 in same batch. Minimum batches? Five files F1–F5 to be printed; printer can queue two at a time; F3 before F5; F2 not with F1 in same batch. Minimum batches?

2 Mark(s)

Three tasks to two machines M1, M2. T1 must be on M1; T2 cannot be with T3 on the same machine. Which is possible? Three tasks to two machines M1, M2. T1 must be on M1; T2 cannot be with T3 on the same machine. Which is possible?

2 Mark(s)

T1 on M1; T2,T3 on M2 T1 on M1; T2,T3 on M2
T1 on M1; T2 on M1; T3 on M2 T1 on M1; T2 on M1; T3 on M2
T1 on M1; T2 on M2; T3 on M2 T1 on M1; T2 on M2; T3 on M2
T1 on M2; T2 on M1; T3 on M1 T1 on M2; T2 on M1; T3 on M1

Six players S1–S6 lineup for photos. S1 must be left of S2; S3 must be right of S2; S4 at an end. How many choices for S4’s position? Six players S1–S6 lineup for photos. S1 must be left of S2; S3 must be right of S2; S4 at an end. How many choices for S4’s position?

2 Mark(s)

A, B, C, D play a round-robin (each vs each once). A beats B; B beats C; D loses to C. Which must be true? A, B, C, D play a round-robin (each vs each once). A beats B; B beats C; D loses to C. Which must be true?

2 Mark(s)

A beats C A beats C
D beats A D beats A
A beats D A beats D
C beats A C beats A

Seven tasks T1–T7: T3 after T1; T5 before T6; T2 before T3; T7 last. Which must be true? Seven tasks T1–T7: T3 after T1; T5 before T6; T2 before T3; T7 last. Which must be true?

2 Mark(s)

T5 before T2 T5 before T2
T1 before T2 T1 before T2
T2 before T1 T2 before T1
T3 before T5 T3 before T5

Five exam slots S1–S5: Math before Physics; Chemistry not first; Biology after Physics. Which could be the order? Five exam slots S1–S5: Math before Physics; Chemistry not first; Biology after Physics. Which could be the order?

2 Mark(s)

Math, Physics, Biology, Chemistry, English
Chemistry, Math, Physics, Biology, English
Physics, Math, Chemistry, Biology, English
Math, Biology, Physics, Chemistry, English

A word puzzle requires placing 4 vowels and 3 consonants in a 7-letter string so that no two consonants are adjacent. How many slots for consonants are available if vowels occupy positions 1,3,5,7? A word puzzle requires placing 4 vowels and 3 consonants in a 7-letter string so that no two consonants are adjacent. How many slots for consonants are available if vowels occupy positions 1,3,5,7?

2 Mark(s)

A schedule has 5 slots for talks T, U, V, W, X. U immediately before W. V after X. T not first. Which could be third? A schedule has 5 slots for talks T, U, V, W, X. U immediately before W. V after X. T not first. Which could be third?

2 Mark(s)

Five paintings 1–5 on a wall. Modern (M) must be adjacent to Abstract (A). Landscape (L) cannot be adjacent to A. Portrait (P) must be left of Sculpture (S). Which could be true? Five paintings 1–5 on a wall. Modern (M) must be adjacent to Abstract (A). Landscape (L) cannot be adjacent to A. Portrait (P) must be left of Sculpture (S). Which could be true?

2 Mark(s)

A at 1 A at 1
L at 2 with A at 3 L at 2 with A at 3
P at 2, S at 4 P at 2, S at 4
M at 5 with A at 4 M at 5 with A at 4

Five friends take positions on a number line: positions must be integers 1–5, each used once. A+B = C+D. E is at 5. Which could be A’s position? Five friends take positions on a number line: positions must be integers 1–5, each used once. A+B = C+D. E is at 5. Which could be A’s position?

2 Mark(s)

Three depts H, S, M schedule talks over 3 slots. H not in slot 1; S not in slot 3; no slot empty. Which slot must M take? Three depts H, S, M schedule talks over 3 slots. H not in slot 1; S not in slot 3; no slot empty. Which slot must M take?

2 Mark(s)

Slot 1 Slot 1
Slot 2 Slot 2
Slot 3 Slot 3
Cannot be determined Cannot be determined

Three offices to be staffed Morning (M), Afternoon (A), Evening (E) by X, Y, Z. X won’t do E. Y must be before Z in the day. Which assignment works? Three offices to be staffed Morning (M), Afternoon (A), Evening (E) by X, Y, Z. X won’t do E. Y must be before Z in the day. Which assignment works?

2 Mark(s)

X:M, Y:A, Z:E X:M, Y:A, Z:E
X:A, Y:E, Z:M X:A, Y:E, Z:M
X:M, Y:E, Z:A X:M, Y:E, Z:A
X:E, Y:M, Z:A X:E, Y:M, Z:A

A set of five letters must form a code with vowels in positions 2 and 4 only. Letters available: A, E, I, B, C, D, F. How many distinct codes are possible if no letter repeats? A set of five letters must form a code with vowels in positions 2 and 4 only. Letters available: A, E, I, B, C, D, F. How many distinct codes are possible if no letter repeats?

2 Mark(s)

24 24
48 48
72 72
96 96

Five cars A–E in a test loop start at equally spaced times. A finishes before C; B finishes after D; E is exactly between A and D in finishing order. Which could be the order (first→last)? Five cars A–E in a test loop start at equally spaced times. A finishes before C; B finishes after D; E is exactly between A and D in finishing order. Which could be the order (first→last)?

2 Mark(s)

A E D C B A E D C B
D E A C B D E A C B
A D E C B A D E C B
D A E B C D A E B C

Five numbers in a row must be arranged so that the sum of adjacent numbers is odd. If numbers are 1–5, which pattern is necessary? Five numbers in a row must be arranged so that the sum of adjacent numbers is odd. If numbers are 1–5, which pattern is necessary?

2 Mark(s)

Odd–Odd–Odd–Odd–Odd Odd–Odd–Odd–Odd–Odd
Even–Odd–Even–Odd–Even Even–Odd–Even–Odd–Even
Odd–Even–Odd–Even–Odd Odd–Even–Odd–Even–Odd
Even–Even–Odd–Odd–Even Even–Even–Odd–Odd–Even

Four meetings A–D arranged hourly from 9 to 12. A not at 9; B immediately after A; C before D. Which is possible? Four meetings A–D arranged hourly from 9 to 12. A not at 9; B immediately after A; C before D. Which is possible?

2 Mark(s)

A10, B11, C9, D12 A10, B11, C9, D12
A9, B10, C11, D12 A9, B10, C11, D12
A11, B12, C10, D9 A11, B12, C10, D9
A10, B11, C12, D9 A10, B11, C12, D9

Scheduling: Three sessions S1–S3 and rooms R, G. S1 must be before S3; S2 cannot be in room G. If S3 is in room R, which is possible? Scheduling: Three sessions S1–S3 and rooms R, G. S1 must be before S3; S2 cannot be in room G. If S3 is in room R, which is possible?

2 Mark(s)

S1 in G, S2 in R, S3 in R S1 in G, S2 in R, S3 in R
S1 in R, S2 in R, S3 in R S1 in R, S2 in R, S3 in R
S1 in G, S2 in G, S3 in R S1 in G, S2 in G, S3 in R
S1 in R, S2 in G, S3 in R S1 in R, S2 in G, S3 in R

Four artifacts A, B, C, D placed on a pedestal square (NW, NE, SW, SE). A not diagonal to B. C must be east of A. Which arrangement is possible? Four artifacts A, B, C, D placed on a pedestal square (NW, NE, SW, SE). A not diagonal to B. C must be east of A. Which arrangement is possible?

2 Mark(s)

A:SW, B:NE, C:SE, D:NW A:SW, B:NE, C:SE, D:NW
A:NW, B:NE, C:SE, D:SW A:NW, B:NE, C:SE, D:SW
A:NE, B:NW, C:SE, D:SW A:NE, B:NW, C:SE, D:SW
A:SE, B:SW, C:NE, D:NW A:SE, B:SW, C:NE, D:NW

Five crates weigh 1–5 kg distinct. Two-lift truck can carry any two crates per trip. Minimum trips to move all? Five crates weigh 1–5 kg distinct. Two-lift truck can carry any two crates per trip. Minimum trips to move all?

2 Mark(s)

Six people stand in a queue: 1st–6th. X ahead of Y. Z behind Y. W not at ends. If X is 2nd and Y is 4th, which position can Z be? Six people stand in a queue: 1st–6th. X ahead of Y. Z behind Y. W not at ends. If X is 2nd and Y is 4th, which position can Z be?

2 Mark(s)

1st 1st
3rd 3rd
5th 5th
6th 6th

DI DS LR - Test 2 : Question 1 of 30