CAT 2019 · Slot 2
A full-length paper in the 2019 pattern. Sit it under exam conditions with solutions locked until you submit, or open it in learn mode and check each answer as you go.
100questions
180 min60 min per section
32TITA, no negative marks
28/49/23easy / medium / hard
Section-wise pattern and topics
Sections run in this order with their own timer, as in CAT 2019.
Verbal Ability & Reading Comprehension · 34 questions · 60 min
- Reading Comprehension27
- Para Jumble4
- Odd Sentence Out3
Data Interpretation & Logical Reasoning · 32 questions · 60 min
- Rule-based Simulation4
- Scheduling4
- tables with missing values4
- Ranking & Scoring4
- Networks & Routes4
- Venn Diagrams4
- grids4
- tables4
Quantitative Ability · 34 questions · 60 min
- Percentages2
- Profit & Loss2
- Simple & Compound Interest2
- Mixtures & Alligations2
- Time, Speed & Distance2
- Progressions2
- Averages1
- Time & Work1
- Pipes & Cisterns1
- Ratio & Partnership1
- circular tracks1
- Quadratic Equations1
- Inequalities1
- Logarithms1
- Functions1
- integer solutions1
- Maxima & Minima1
- Modulus Equations1
- triangles1
- circles1
- Coordinate Geometry1
- Mensuration1
- polygons1
- similar triangles1
- lattice points1
- remainders1
- Permutations & Combinations1
- conditional1
Sample question from this paper
Time, Speed & Distance · medium
Train A, 180 m long, runs at 54 km/h. It crosses train B, running on a parallel track in the opposite direction, completely in 12 seconds. When both run in the same direction, A crosses B completely in 60 seconds (A being faster). What are the length and speed of train B?
- A. 120 m, 36 km/h
- B. 100 m, 45 km/h
- C. 150 m, 36 km/h
- D. 120 m, 18 km/h
Show answer and solution
Answer: A
Let total length S = 180 + L and B's speed v m/s. A's speed = 54 × 5/18 = 15 m/s.
Opposite direction: 15 + v = S/12. Same direction: 15 − v = S/60.
Adding: 30 = S(1/12 + 1/60) = S × 6/60 = S/10 → S = 300 m, so L = 120 m.
Then 15 + v = 300/12 = 25 → v = 10 m/s = 36 km/h.
Answer: 120 m, 36 km/h.
Let total length S = 180 + L and B's speed v m/s. A's speed = 54 × 5/18 = 15 m/s.
Opposite direction: 15 + v = S/12. Same direction: 15 − v = S/60.
Adding: 30 = S(1/12 + 1/60) = S × 6/60 = S/10 → S = 300 m, so L = 120 m.
Then 15 + v = 300/12 = 25 → v = 10 m/s = 36 km/h.
Answer: 120 m, 36 km/h.